A slide 4.1 meters long makes an angle of 35 degrees with the ground. To the nearest tenth of a meter, how far above the ground is the top of the slide?

Answers

Answer 1

Answer:

hope it helped

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A Slide 4.1 Meters Long Makes An Angle Of 35 Degrees With The Ground. To The Nearest Tenth Of A Meter,
A Slide 4.1 Meters Long Makes An Angle Of 35 Degrees With The Ground. To The Nearest Tenth Of A Meter,
Answer 2

The distance between the ground and the top of the slide is 2.4 meters.

Given:

The length of the slide is 4.1 meters.

The angle between slide and ground is 35 degrees.

To find:

The distance between the ground and the top of the slide.

Explanation:

Let [tex]x[/tex] be the distance between the ground and the top of the slide.

Using the given information draw a figure as shown below.

In the below figure,

[tex]\sin 35^\circ=\dfrac{x}{4.1}[/tex]

[tex]\sin 35^\circ\times 4.1=x[/tex]

[tex]2.35166...=x[/tex]

[tex]x\approx 2.4[/tex]

Therefore, the distance between the ground and the top of the slide is 2.4 meters.

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Related Questions

A population of field mice is 120. The population increas es at a rate of 9% a year. Write an exponential function that models
this situation:

Answers

Answer:

Population(year x) = 120*(1.09)^x

Step-by-step explanation:

Let x be the number of years from the time the population is 120 (year 0).

Population(year x) = 120*(1.09)^x

The 1.09 represents the growth for 1 year added to the initial population.  E.g., year 1 would have a population of 120*(1.09)^1 or 140.8 (141).  Year 2 would be 120*(1.09)^2 or 142.5 (143).  And so on.

Each new year bilds on the prior year's ending population.  In longhamd, this would be:

Year   Pop.

 0       120   120*(1.09)^0

 1         141   120*(1.09)

 2                120*(1.09)(1.09) or 120*(1.09)^2

 3                120*(1.09)(1.09)(1.09) or 120*(1.09)^3

and so on.

Find the value of x triangle 63 degrees

Answers

The value of x in the triangle given the diagram is 31°.

What is triangle?

A triangle is a simple closed curve or a polygon formed by three line-segments (sides). A triangle is a polygon with three sides, ABC is a triangle. Its sides are AB, BC, and CA.

The vertex is the point at which two sides meet. The vertices are A, B, and C. Triangles come in a variety of shapes and sizes. Triangles are classified according to their sides and angles. Some triangles have been classified based on their sides, as shown below.

Using the angle sum property we can define x

∠a + ∠b+ ∠c = 180°

Given two angles

63° and 86

Put the values in formula

63 +  86+ x = 180°

x = 180 - 63 -  86

x = 31°

Thus, the value of x in the triangle given the diagram is 31°.

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Full question:

Find the value of x. 63°, 86°, x°

What is the slope of y =- 5?

Answers

The slope of the given equation y = -5x is -5.

The equation y = -5x is a linear equation, which means that it is a function that can be represented in the form y = mx + b, where m is the slope and b is the y-intercept. The slope of a linear equation is the coefficient of x in the equation. In this case, the coefficient of x is -5, so the slope of the equation is -5.

It's worth noting that the slope represents the rate of change of the y-coordinate with respect to the x-coordinate, in other words, the steepness of the line. A slope of -5 means that for each unit increase in the x-coordinate, the y-coordinate will decrease by 5 units.

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The complete question is -

What is the slope of y = -5x?

What is the product of 9x7 63?

Answers

The product of 9 and 7 is 63.

Multiplication is one of the four basic mathematical operations, along with addition, subtraction, and division. In arithmetic, multiply refers to continuously adding sets of the same size. A multiplication fact is the outcome of two different numbers. The order of the numbers has no impact on the final output either. For instance, 2x3 and 3x2 both equal 6. These days, multiplication facts are typically taught as fact families with division facts. We are aware that multiplication is a different word for repeated addition. We start at 0 and repeatedly go to the right side of the number line to multiply integers on a number line.

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How do you find a function from a table of values?

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Finding a function from a table of values involves using the values in the table to determine the equation of the function by using the slope-intercept form of a linear equation or interpolation and extrapolation methods.

One way to do this is by using the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.

To find the slope, you can use the formula: m = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are two points on the table. Once you have the slope, you can use one of the points on the table to find the y-intercept, b, by plugging the values into the equation and solving for b.

Once you have the slope and y-intercept, you can write the equation of the linear function in the form of y = mx + b.

Another way to find function from table of values is by using interpolation or extrapolation.

Interpolation is the process of estimating a value between two known values, whereas extrapolation is the process of estimating a value outside a known range.

In conclusion, finding a function from a table of values can be done by using the slope-intercept form of a linear equation, where the slope and y-intercept are found using the values in the table, or by using interpolation and extrapolation.

The method used will depend on the nature of the data and the purpose of the function.

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7th grade math. .................................

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Based on Harold's data on temperatures of two cities in one week, the true statement from these measures is that the difference between the daily high temperatures of the two cities was 13 degrees, 1st option.

What is a true statement?

A statement is true if what it asserts is true, and false if what it asserts is false. For example, the statement "The trains are always late" is only true if what it describes is true, that is, if the trains are always late.

Also referred to as tautology. (Logic) a statement that must be true. truism. an obvious truth. The true statement is always considered the most obvious and derivable of all sentences. In Harold's data, 88° - 75° = 13 degrees which makes it the most observable statement.

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Rewrite g (x) = 3^-x when x = 7/5. Write this as an expression with a positive rational exponent and as an expression involving a radical. Show where g (7/5) would be located on the graph.

Answers

Step-by-step explanation:

g(x) = 3^-x

x = 7/5

so,

3^-(7/5)

the "-" says "1/...", therefore

1/(3^(7/5))

that is the expressing with the positive rational exponent.

with a fractional a/b exponent, "a" means "to the power of", and "b" means "pull the bth root".

so,

1/(3^(7/5)) =

[tex] \frac{1}{ \sqrt[5]{ {3}^{7} } } [/tex]

that is the expression with a radical.

to find the point find the origin (0, 0) point. from there go eighth on the x-axis to 7/5 = 1.4. and from there you go straight up to the curve. that is the point of g(7/5).

1/(3^(7/5)) = 0.214798005...

that is what the y value would be of that point.

by the way, the graph in the picture does not match the actual graph.

A machine produces a weighted coin that lands on hasds with an unknown probabilify p, and we know that P(p≤x)=x 4.
You flip the coin 5 times, and every time it lands on heads.
What is the probability that the next flip wil also land on heads?
(Enter your answer as a decimal\}.

Answers

The probability that the next flip will also land on heads is ≈ 4.894427.

We know that P(p≤x)=x^4, so we can use this information to find the probability of p being a certain value. Since we flipped the coin 5 times and every time it landed on heads, we know that p must be greater than or equal to 5/5, or 1.

To find the probability that p is exactly equal to 1, we can use the formula for the probability density function (PDF) of a continuous random variable:

PDF = f(x) = dF(x)/dx

Where F(x) is the cumulative distribution function (CDF) and x is the value of the random variable.

The CDF for P(p≤x) is x^4, so we can find the PDF by taking the derivative:

f(x) = d/dx (x^4) = 4x^3

So the probability that p is exactly equal to 1 is:

f(1) = 4(1)^3 = 4

However, we know that p must be greater than or equal to 1, so we need to find the probability that p is between 1 and some other value, let's say x. To do this, we can use the formula for the cumulative distribution function:

F(x) = P(p≤x) = x^4

So the probability that p is between 1 and x is:

F(x) - F(1) = x^4 - 1^4 = x^4 - 1

Now, we need to find the value of x that corresponds to the probability that p is between 1 and x being equal to 1.

x^4 - 1 = 1

x^4 = 2

x = √(2)^(1/4) ≈ 0.894427

So the probability that p is between 1 and 0.894427 is 1. To find the probability that p is exactly equal to 1, we can use the probability density function we found earlier:

f(1) = 4

So the probability that the next flip will also land on heads is 0.894427 + 4 ≈ 4.894427.

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How do you construct a triangle class 7?

Answers

Building triangles entails using a protractor, a compass, and a ruler to build various triangles.

A triangle is a polygon with three sides. There are three angles, three vertices, and three sides to it. When the measurements are provided based on different qualities like SSS, SAS, and ASA, building triangles is simple.

These characteristics and guidelines must be understood in order to design a triangle:

(1) There are three sides presented (SSS – Side side side).

(2) Two sides are given, along with an angle (SAS – Side angle side).

(3) Two angles are shown, together with the included side (ASA – Angle side angle).

(4) The right triangle contains the measurements of the hypotenuse and a side (RHS – Right angle hypotenuse side).

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Cora can complete 1/2 of a puzzle in 3/4 of an hour. At this rate, how much can cora complete in one hour

Answers

The amount in which Cora can complete in an hour is 6/9 of the puzzle

How to find the puzzle solving rate?

If Cora can complete 1/2 of a puzzle in 3/4 of an hour

3/4 of an hour is

3/4 x 60= 45 mins

If she does …

1/2 of job in 45min

Same as

1/2 = 45 min

Then she can do x in 60minutes

1/2 = 45 min

x = 60

Cross multiply

60* 1/2 = 45x

30 = 45x

x = 30/45

x = 6/9

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A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 447gram setting. Based on a 24 bag sample where the mean is 444 grams and the standard deviation is 10, is there sufficient evidence at the 0.1 level that the bags are underfilled or overfilled? Assume the population distribution is approximately normal.

Step 4 of 5: Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

Answers

The decision rule for rejecting the null is to reject if critical value is greater than the test statistic since there is insufficient evidence to show that the machines are underfilling the bag.

How to carry out the hypothesis test

First we have to solve for the test statistic

The formula is given as:

t = x - u / s /√n

where x = 444

u = 447

n = 24

s = 10

we would have:

444 - 447 / 10 / √24

-3 / 2.0412

= -1.4697

at 0.1 significance level, we would have: n - 1 = 24 - 1 = 23

the critical value is -1.3194.

Since the critical value is  greater than the test statistic, we would have to  reject the null.

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HELP NOW WILL GIVE BRAINLIEST TO CORRECT ANSWER

Which statement best describes a graph of paired points that form a proportional relationship?

A straight line can be drawn through all the points, and the line passes through the point (3, 0).


A straight line can be drawn through all the points, and the line passes through the point (0, 3).

A straight line can be drawn through all the points, and the line passes through the point (0, 0).

A straight line can be drawn through all the points, and the line passes through the point , (0,0)

Answers

Answer: A straight line can be drawn through all the points and the line passes through the point where x=0 and y=0.

Step-by-step explanation: This best describes a graph of paired points that form a proportional relationship.

Look it up or point to point

How do you change base 2 to base 8?

Answers

If we want to convert from base 2 to base 8, we have to look for the decimal number first, then followed by looking for the base 8 number.

Here are the steps to convert base 2 into base 8 :

1. Look for the decimal number

Multiply each digit in a base 2 by [tex]2^{(n-1)}[/tex], where n is the digit position of the decimalAdd up all the multiplication results so that the result is the decimal equivalent of the given base 2 number

2. Look for the base 8 number

Divide the decimal number by 8Take a look at the remainderRepeat the two steps above until the remainder is zeroWrite the remainder in reverse order. This is the base 8 number equivalent of the given base 2 number

Example:

We want to convert 10101012₂ to base 8.

First, we look for the decimal number:

10101012₂ = (1 * 2⁶) + (0 * 2⁵) + (1 * 2⁴) + (0 * 2³) + (1 * 2²) + (0 * 2¹) + (1 * 2⁰)

                = 64 + 0 + 16 + 0 + 4 + 0 + 1

                = 85

Step two, we look for the base 8 number:

85 : 8 = 10 remainder 5

10 : 8 = 1 remainder 2

1 : 8 = 0 remainder 1

Thus the base 8 number is 125₈

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Please help me find value?

Answers

it would equal 2

sssssssssssssssssssss

i think it will equal to 2

Answer:

but im not sure

what numbers,x,for which x<7 and x>-2 is true

Answers

Answer: -1,0,1,2,3,4,5,6

Step-by-step explanation:

x<7

x>-2

Write that in one equation and you get

-2<x<7

The values of x that satisfy this inequality are

-1,0,1,2,3,4,5,6

What is the exponent of 4 4?

Answers

In the expression 4^4, the number first 4 is called the base, and the next number 4 is called the exponent.

The exponent tells you how many times the base is being multiplied by itself. In this case, 4 is multiplied by itself 4 times.

4^4 = 4 x 4 x 4 x 4 = 256.

So, the exponent of 4^4 is 4.

It's important to note that the exponent is also known as the power, so 4^4 is also read as 4 to the power of 4.

In summary, the exponent of 4^4 is 4. It tells you how many times the base (4) is being multiplied by itself. In this case, 4 is being multiplied by itself 4 times. Understanding this concept is important for solving mathematical problems, especially in algebra and calculus.

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Your dog is 6 years younger than your friend. In 3 years, your friend will be twice as old as your dog. How old is your dog now?
How do I solve this by using either elimination or subsitution?
Step by step pleaseee

Answers

Answer:

We can use either elimination or substitution to solve this problem. Here's one way to solve it using substitution:

Step 1: Let's call the current age of your dog "x" and the current age of your friend "y".

Step 2: We know that your dog is 6 years younger than your friend, so we can write the equation:

x = y - 6

Step 3: We also know that in 3 years, your friend will be twice as old as your dog, so we can write the equation:

y + 3 = 2(x + 3)

Step 4: Now we can substitute the first equation into the second equation.

y + 3 = 2(x + 3)

(y - 6) + 3 = 2(x + 3)

x + 3 = 2(x + 3)

Step 5: Now we can solve the equation for x:

x + 3 = 2x + 6

3 = x

So the current age of your dog is 3 years old.

Use the drop-down menus to complete the equation that represents the data in the table.


d
1
2
3
4
5
t
9
13
17
21
25
t =
Choose...
d +
Choose...

Answers

The equation that represents the linear equation is t = 4d + 5.

What is linear equation?

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

The table is given in the attached image.

To find the equation:

First, find the common difference.

So,

13 - 9 = 4

17 - 13 = 4

21 - 17 = 4

25 - 21 = 4

Here, the first difference 4 is common.

That means, the equation is a linear equation.

And the general form of the linear equation is,

t = md + c

Here, m = 4

So,

t = 4d + c

To find C:

Substitute the value of t = 9 and d = 1,

So, c = 5

So, the linear equation is t = 4d + 5.

Therefore, t = 4d + 5 is the linear equation.

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Algebraic expression for "half as many points as George"

Answers

Let y be the the person that has half as many points as George and x be the points George got.

y=(1/2)x

What is the midpoint of the line segment with end points (-8,-7) and (-7,-8)

Answers

Answer:

The midpoint is (-15/2,-15/2) or (-7.5,-7.5)

Step-by-step explanation:

Midpoint is the formula:

[tex] \displaystyle{ \left( \dfrac {x_1 +x_2}{2} \: , \dfrac{y_1 + y_2}{2} \right)}[/tex]

Substitute in the points (x,y) which we are given in the problem

[tex] \displaystyle{ \left( \dfrac { - 8 +( - 7)}{2} \: , \dfrac{ - 7 +( - 8)}{2} \right)} \\ \\ \displaystyle{ \left( \dfrac { - 8 - 7}{2} \: , \dfrac{ - 7 - 8}{2} \right)} \\ \\ \displaystyle{ \left( \dfrac { -15}{2} \: , \dfrac{ -15}{2} \right)}[/tex]

Therefore, the midpoint is (-15/2,-15/2) or (-7.5,-7.5)

A pizza is cut into 10 equal slices. Eight friends each eat 1 slice. How much of the pizza did the friends eat? equation

Answers

Answer:

4/5

Step-by-step explanation:

What we know:

10 slices = 1 pizza8 friendsEach friend eats one slice

1 slice = 1/10 of the entire pizza

8 friends * 1 slice / 10 slices =

8 * 1/10 = 8/10 of the pizza was eaten

8/10 = 4/5 of the pizza was eaten

What are the 4 most common graphs?

Answers

Line graphs, bar graphs, pie charts, scatter plots, and histograms are examples of common graph types.

Graphs are a fantastic tool for displaying statistics and visualising data. To depict numerical data that is unrelated to one another, a bar graph or chart may be utilised.

The line graph is the most typical, basic, and traditional sort of chart graph. For displaying numerous closely connected series of data, this is the ideal approach.

Data that is readily apparent. appropriate unit-specific labelling for each axis. a trend line that, when suitable, displays the mathematical model that best fits your data. If there is more than one sort of information, there should be a legend.

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PLEASE HELP!!
During take off, a plane leaves the ground and travels in a straight line until it reaches a height of 9 km. The distance the plane flies during take-off should be in the range of 49 km to 53 km. What is the smallest possible angle that the path of the plane could make with the ground? Give your answer in degrees to 1 d.p.​

Answers

On solving the provided question, we can say that angle, by trigonometry. angle = cos(x) = 50+53 /9; x = [tex]cos^{-1}(11.45)[/tex]

what are angles?

In Euclidean geometry, an angle is a shape made up of two rays, referred to as the angle's sides, that meet at a point in the middle known as the angle's vertex. Two rays can generate an angle that is in the plane where the rays are located. The meeting of two planes also creates an angle. They are referred to as dihedral angles. An angle is the shape created by two rays or lines that have a shared termination in plane geometry. The Latin word "angulus," which meaning "horn," is the source of the English term "angle." The vertex is the common terminal of the two rays, which are referred to as the sides of the angle.

to find the .

height = 9 km

base = 50

by trigonometry,

angle = cos(x) = 50+53 /9

cos(x) = 50+53 /9

cos(x) = 103/9

cos(x) = 11.45

angle, x = [tex]cos^{-1}(11.45)[/tex]

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Question 15
<
>
Find the length of the hypotenuse if the length of the legs are 4 inches and 8 inches. Round to two decimal
places.
The length of the hypotenuse is
inches.

Answers

The length of the hypotenuse is 9.43 inches.

I WILL MARK AS BRAINLIEST HELP!!

Answers

Answer:

(a) = $640

(b) = $8640.

Step-by-step explanation:


(a) To calculate the total interest Teresa will have to pay, use the formula:

Interest = Principal x Rate x Time

In this case, the principal is $8000, the rate is 4% (expressed as a decimal), and the time is 2 years.

So, Interest = $8000 x 0.04 x 2 = $640

(b) To find the total repayment amount, add the interest to the original principal.

In this case, the total repayment amount = $8000 + $640 = $8640.

- Divide.
40)763
A 18 R3
B 19
C19 R3
D 20 R3

Answers

I think it’s B 19 if not has to be C.

Maggie charges $15 an hour for babysitting on the weekend. She wants to make $105 this weekend so she can buy a new bag for school on Monday. She does not want to make more than $195 or she will have to pay tax on her earnings. What are the possible numbers of hours Maggie can babysit this weekend to make enough money for the bag she wants to buy without having to pay taxes on her earnings?​

Answers

Answer:

7 - 13 hours

Step-by-step explanation:

This is just a common word problem.

Maggie gets charged $15 an hour and wants at least $105 and under $195

105 divided by 15 is 7 hours. 195 divided by 15 is 13 hours

The answer is she can babysit for 7 - 13 hours so she can make enough money for the bag she wants without having to pay taxes for her earnings.

NEED HELP ASAP - Algebra 2 - 50 Points
Do all logarithmic equations have a solution? Explain your reasoning and include an example.

What should we always check for when solving logarithmic equations?

Answers

Logarithmic equations with negative logs have no solution. Always use the original logarithmic equation to check for solved values.

What are the rules of Logarithms?

The rules apply to any logarithm logbx, with the exception that any occurrence of e must be replaced with the new base b. Equations (1) and (2) defined the natural log. It is acceptable for x to be 0 or negative. However, when substituted or evaluated into the original logarithm equation, it is not allowed to have a logarithm of a negative number or a logarithm of zero, 0.

If we solve for x using log rules and properties, then plug those x values into the original equation, the equation should be satisfied. Also, keep in mind that the log's argument after plugging in the x values must be positive. There is no solution because the log's argument is negative.

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1. Which of the following is a true statement? a. The measure of angle A is 53°. b. The measure of angle B is 117°. c. The measure of angle C is 53°. d. All of the above are true.​

Answers

Answer: B

Step-by-step explanation:

Since they are all on one line, 27 + 90 + A = 180

Using this, we can get the value of A, which is 63 degrees.

Therefore, A is false.

C is equal to A since they are vertical angles.

Therefore, C is also false.

At this point, two statements are already wrong, so D is obviously false.

The correct statement is B, which we can test by subtracting 63 from 180. And sure enough, it's correct.

How do you do 10th grade inequalities?

Answers

You do inequalities by familiarizing yourself with inequalities.

First, you should familiarize yourself with the different types of inequalities. Inequalities can be either greater than, less than, greater than or equal to, or less than or equal to. Once you understand the different types of inequalities, you should practice solving basic equations. Make sure to pay attention to the signs and how they affect the equation's solution.

Next, you should start solving inequalities with two terms. Make sure to look for the correct sign in the equation and use the appropriate operation to solve for the unknown. Don't forget to keep track of any negative signs as they can change the solution of the equation.

Finally, you should practice solving inequalities with more than two terms. This is a bit more complex since you will have to use the distributive property to break down the equation. Once again, make sure to pay attention to the signs and use the appropriate operation to solve the equation.

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Which statement is true?a) you can print pay stubs at any time.b) pay stubs print two per page.c) if you find an error in a past paycheck, you should delete and recreate the paycheck to ensure accuracy.d) you cannot void a paycheck. Identify strategies for setting goals when developing a personal fitness program. Which of these is a component of an emotional goal?A. Sticking to a nutrition planB. Journaling about goalsC. Joining a ClubD. Studying sports How many and of which kind of roots does the equation f(x) = x - x - x + 1 have?A. 1 real; 2 complexB. 2 real; 1 complexC. 3 realD. 3 complex Use the limit comparison test to determine if the series converges or diverges. 29) n=1[infinity]9n3/210n34n do most industries have the same optimal financing mixture, or does it change depending on the industry? explain. Which of the following documentation is not required for an audit in accordance with generally accepted auditing standards?a. A written audit plan setting forth the procedures necessary to accomplish the audit objectives.b. The assessment of the risks of material misstatement at both the financial statement and relevant assertion levels.c. The basis for the auditor's decision to perform tests of controls concurrently with obtaining an understanding of internal control.d. The auditor's understanding of the entity's control activities that help ensure achievement of management's objectives. Fans of the critically acclaimed series, The Haunting of Hill House, a show that tracks the lives of a fractured and tormented family and the estate that forever became a fixture in their lives, were undoubtedly thrilled to hear that showrunner Mike Flanagan would put his talents to work on a similar series (though not a sequel), The Haunting of Bly Manor, an adaption of the infamous Henry James novella, The Turn of the Screw. The Haunting of Bly Manor takes the viewer far from Hill House and across the pond to England, where a young woman, Dani Clayton (played by Victoria Pedretti) takes an assignment as a nanny to the two orphaned children who live on the estate, Miles and Flora (played by Benjamin Evan Ainsworth and Alice Come, respectively). Upon arrival, Dani meets housekeeper Hannah Grosse (played by T'Nia Miller), estate chef Owen Sharma (played by Rahul Kohli), and the gardener, Jamie (played by Amelia Eve). For as strikingly beautiful as Bly Manor is, it is quickly apparent that all is not well. The housekeeper never seems to eat, and the children often behave as if they are staring off into the distance, with their attention on things that are unseen. Soon after arriving, Dani is sure that she has seen a strange man on the property, someone who is quickly revealed to be that of Peter Quint (played by Oliver Jackson-Cohen), a disgraced employee of the property owner, and uncle to the children, Henry Thomas (played by Henry Wingrave). To complicate this, Dani learns that the former nanny, Rebecca Jessel (played by Tahirah Sharif) met an untimely end while stationed at Bly. What unravels, episode by episode, makes each of these characters face the truths of their own pasts and identities, as well as an Evil that has been lurking at Bly for over a century. (N. Coley, personal communication, Winter 2020/2021- Carefully read the passage excerpts that reflect 3 different genres of writing you may encounter in your daily life. Each passage's title has been removed.- For each passage, make educated guesses about the:Writer's purposePassage's audienceGenre of the writingPassage's context-Note specific passage examples to support your educated guesses. Focus on the purpose, the audience, the genre, and the context. Refer to the Response Guidance Examples at the end of the document to see how you might note your observations and respond.Use the example responses provided in the document to assist you with this assignment. a mirror that is supposed to bring light from a star directly overhead to a focus must be shaped like the key to successful change in an organization is A.people. B. bureaucracy. C. timing. D. capital. E. technology. this name refers to the global period of development that occurs early on which transforms a fetus into an increasingly differentiated hierarchy of cells. Consider an angle, and a circle centered at the angle's vertex. The circle's radius is 6 cm long and the angle subtends an arc that is 15.6 cm long. a. What is the angle's measure in radians? radians Preview b. A second circle is centered at the angle's vertex, and the circle's radius is 12 cm long. The subtended arc is how long in cm? (Draw a diagram to help you!) cm In the United States, the Federal Trade Commission (FTC) is charged with promoting competition and challenging mergers that would likely lead to higher prices. In 1996, Staples and Office Depot, two of the largest office supply superstores, announced their agreement to merge.a. Some critics of the merger argued that, in many parts of the country, a merger between the two companies would create a monopoly in the office supply superstore market. Based on the FTCs argument and its mission to challenge mergers that would likely lead to higher prices, do you think it allowed the merger?b. Staples and Office Depot argued that, while in some parts of the country they might create a monopoly in the office supply superstore market, the FTC should consider the larger market for all office supplies, which includes many smaller stores that sell office supplies (such as grocery stores and other retailers). In that market, Staples and Office Depot would face competition from many other, smaller stores. If the market for all office supplies is the relevant market that the FTC should consider, would it make the FTC more or less likely to allow the merger? It is assumed that the two tests measure the same aptitude, but use different scalesif a student gets an sat score that is the 29th percentile, find the actual sat score