The hypotenuse of a 45°-45°-90° triangle measures 24 inches. What is the length of the one leg of the triangle?

12 in.
12 StartRoot 2 EndRoot in.
24 in.
24 StartRoot 2 EndRoot in.

Answers

Answer 1

Answer:

Can you answer mine? I need help too

Step-by-step explanation:


Related Questions

Find the unit rate for each brand. Round to the nearest cent (hundredth).

Answers

The unit rate of each of the brands are:

Brand A's unit rate = 37 cents per ounce.

Brand B's unit rate = 31 cents per ounce.

How to Find the Unit Rate?

The unit rate of each brand is simply how much a brand of tomatoes will cost per ounce.

To find the unit rate of each brand, do the following:

Brand A's unit rate = 2.99/8 = $0.37 per ounce = 37 cents per ounce.

Brand B's unit rate = 4.99/16 = $0.31 per ounce = 31 cents per ounce.

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Which rules define the function graphed below?
65
4
3
32
(0.2)
-2
-3-
(3,5)
--3--2--11 1 2 3 4
O y=x; y = 5
O y = x + 2; y = 5
O y=x; x = 5
O y=x+2; x = 5

Answers

The rules that define the piecewise function graphed are as follows:

y = x + 2, y = 5.

What is a piecewise function?

A piecewise function is a function that has different definitions, depending on the input.

In this problem, for x between 0 and 3, a linear function is given, with slope given as follows:

m = (5 - 2)/(3 - 0) = 1.

The y-intercept is of 2, as y = 2 when x = 0, hence the definition is:

[tex]y = x + 2, 0 \leq x \leq 3[/tex]

For x greater than 3, the function is constant at y = 5, hence the definition is:

y = 5, x > 3.

Hence, the rules that are used to define the piecewise function graphed are as follows:

y = x + 2, y = 5.

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A roller coaster’s height is given by the equation h = –.025t2 + 4t + 50, where t represents the time in seconds. How long will it take riders to pass over the hill and reach ground level? Hint: Set h = 0.

11.65 seconds
50.00 seconds
171.65 seconds
210.00 seconds

Answers

The time it will take the roller coaster to reach the ground is 171.65 seconds

Function and values

Given the roller coaster’s height given by the following parameters

h = –0.025t² + 4t + 50

On the ground level, the height will be zero. Substitute h = 0 and determine the value of t

–0.025t² + 4t + 50 = 0

0.025t² - 4t - 50 = 0

Factorize

On factorizing the time it will take the roller coaster to reach the ground is 171.65 seconds

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A ball is thrown downward from the top of a 120-foot building with an initial velocity of 20 feet per second. The
height of the ball h in feet after t seconds is given by the equation h= - 16t²-20t+120. How long after the
ball is thrown will it strike the ground?

Answers

Answer:

[tex]t=\frac{-5+\sqrt{505}}{8}[/tex]

Step-by-step explanation:

The ball strikes the ground when h = 0.

[tex]-16t^2 - 20t + 120 = 0 \\ \\ 4t^2 + 5t - 30=0 \\ \\ t=\frac{-5 \pm \sqrt{5^{2}-4(4)(-30)}}{4(2)} \\ \\ t=\frac{-5 \pm \sqrt{505}}{8}[/tex]

However, as time most be positive, we only consider the positive case.

So,

[tex]t=\frac{-5+\sqrt{505}}{8}[/tex]

m∠ __ +m∠BPD=180∘

what is the blank for Linear Pairs

Answers

The blank space to form a linear pair with m∠BPD is m∠APD.

What are linear pair angles?

Linear pair of angles are formed when two lines intersect each other at a single point.

Linear pair angles are adjacent to each other.

Therefore, the sum of a linear pair angles is equals to 180 degrees.

This means linear pair angles are supplementary.

Hence,

m∠APD + m∠BPD = 180°

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A group of researchers wants to develop an experiment to determine whether a new drug effectively treats high blood pressure. The researchers want to inject the drug in monkeys first to determine whether there are any potential serious side effects.

Part A: What are some possible ethical issues to this type of testing? (5 points)

Part B: While conducting the experiment, the researchers find that blood pressure levels return to normal, and they declare the drug is the cause of the change. Is this a good assumption? Explain. (5 points)

Answers

The ethical issues about testing with animals is it resulting in suffering and they have the right to live without human interference.

What is Experiment?

This is defined as a procedure which is carried in order to support or refute a hypothesis.

The blood pressure returning to normal when the drugs were used on the animals is a good assumption as most parts of the animal and human body work similarly.

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What are the domain and range of the function f of x equals the quantity of x squared minus 3 x minus 28, all over x plus 4?

domain is x is all real numbers where x does not equal 4 comma range is y is all real numbers where y does not equal 11
domain is x is all real numbers where x does not equal 7 comma range is y is all real numbers where y does not equal negative 4
domain is x is all real numbers where x does not equal negative 4 comma range is y is all real numbers where y does not equal negative 11
domain is x is all real numbers where x does not equal negative 7 comma range is y is all real numbers where y does not equal 4

Answers

The domain is x is all real numbers where x does not equal negative 4 comma range is y is all real numbers where y does not equal negative 11. Option C

What is the domain of a function?

The domain of a function refers to the entire area for which the function returns a value. The function in this case is; f(x) = x^2 - 3x - 28/x + 4. The domain of the function will be real numbers except -4.

Hence, we can say that domain is x is all real numbers where x does not equal negative 4 comma range is y is all real numbers where y does not equal negative 11.

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Answer:

The answer is C.

90% of the flights that left a certain airport yesterday departed on time. If there were 150 flights from the airport yesterday, how many flights DID depart on time

Answers

90%of 150 total = 135 flights departed on time. Have a nice day!

Pizza prices by city (Data in Pizza prices) The company that sells frozen pizza to stores in four markets in the United States (Denver, Baltimore, Dallas, and Chicago) wants to examine the prices that the stores charge for pizza slices. Here are boxplots comparing data from a sample of stores in each market:

Answers

The answers to the questions are

a. No they are not the same

b. The presence of outliers are known to affect the market.

How to solve the box plot

For these areas  we have

Q1 = 2.7 Q3 = 3 median = 2.8 out;ier 2.

Q1 =  2.5 Q3 = 2.7 median = 2.6 out;ier 3.1.

Q1 =  2.5 Q3 = 2.75 median = 2.65 out;ier 1.6

Q1 =  2.4 Q3 = 2.6 median = 2.5

We can see that the median prices in the markets are nearly similar except for the one that is conatined in the first market.

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On a piece of graph paper, plot the following points: A (0, 0), B (5, 0), and C (2, 4). These coordinates will be the vertices of a triangle. How would you use the distance formula to determine what kind of triangle this is? Is the triangle equilateral, right, or scalene? Now use the midpoint formula to determine the midpoints of the triangle's sides: segments AB, BC, and CA. Connect the midpoints to make four triangles within the first triangle. Are these four triangles similar?

Answers

The triangle is an isosceles triangle and the four triangles are similar

How to determine the triangle type?

The coordinates are given as:

A (0, 0), B (5, 0), and C (2, 4).

Calculate the distance between the coordinates using:

[tex]d = \sqrt{(x_2 -x_1)^2 +(y_2 -y_1)^2[/tex]

So, we have:

[tex]AB = \sqrt{(0 -5)^2 +(0-0)^2} =5[/tex]

[tex]AC = \sqrt{(0 -2)^2 +(0-4)^2} =4.5[/tex]

[tex]BC = \sqrt{(5 -2)^2 +(0-4)^2} =5[/tex]

The above shows that two sides are congruent.

Hence, the triangle is an isosceles triangle

The midpoints of the sides

This is calculated using:

(x, y) = 0.5 * (x1 + x2, y1 + y2)

So, we have:

AB = 0.5 * (0 + 5, 0 + 0) = (2.5, 0)

AC = 0.5 * (0 + 2, 0 + 4) = (1, 2)

BC = 0.5 * (5 + 2, 0 + 4) = (3.5, 2)

From the attached graph, we can see that the triangles are similar

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Write out the sum. Do not evaluate.

∑∑k=1 (k^2-5k-3)[tex]4\\E(K^2-5k-3)\\k=1[/tex]

Answers

Series are sum of a given sequence.. The sum of the given expression is -33

Sequence and series

Series are sum of a given sequence. According to the given expression

∑∑k=1 (k^2-5k-3)

Taking the sum from k = 1 to k = 4

Sum = (1-5-3) + (4-10-3) +(9-15-3)+(15-20-3)

Sum = (-7) + (-9) + (-9) + (-8)

Sum = -33

Hence the sum of the given expression is -33

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Assume that the average healthy body temperature is 98.249 degrees and the standard deviation is 0.733 degrees. How many standard deviations below the mean would I be if my body temp is 97.2 degrees,

Answers

The standard deviation is 1.43 below the mean

How to determine the number of standard deviation?

The given parameters are:

Mean = 98.249

Standard deviation = 0.733

x = 97.2

To calculate the number of standard deviation below the mean, we use

[tex]x = \bar x - n\sigma[/tex]

So, we have:

[tex]97.2 = 98.249 - n * 0.7333[/tex]

Evaluate the like terms

[tex]-1.049 =- n * 0.7333[/tex]

Divide both sides by -0.733

n =1.43

Hence, the standard deviation is 1.43 below the mean

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8 to the second power to the -4 power is equivalent to

Answers

Answer:

1.138789 is equivalent to 8 to the second power to the -4 power.

Hope this helps :)

please solve this
Solve by completing the square. 4x2+8x−3=0

Answers

Step-by-step explanation:

4x2+8x−3=0

For this equation: a=4, b=8, c=-3

4x2+8x+−3=0

Step 1: Use quadratic formula with a=4, b=8, c=-3.

x=

−b±√b2−4ac

2a

x= −(8)±√(8)2−4(4)(−3)

2(4)

x= −8±√112

8  x=−1+

1 2 √7 or x=−1+

−1 2 √7

Answer:  x=−1+

1 2√7 or x=−1+

−1 2 √7

A bacteria culture grows with constant relative growth rate. The bacteria count was 1,920 after 4 hours and 1,966,080 after 12 hours.

(a) What is the relative growth rate? Express your answer as a percentage. (Round your answer to two decimal places.)

(b) What was the initial size of the culture?

(c)Find an expression for the exact number of bacteria after t hours, y(t).

(d) Find the number of bacteria after 9.5 hours. (Round your answer to the nearest whole number.)

(e) Find the rate of growth (in bacteria per hour) after 9.5 hours. (Round your answer to the nearest whole number.)

(f) How many hours did it take for the population to reach 72,000? (Round your answer to two decimal places.)

Answers

From the calculation, the growth rate is 0.88.

What is the growth rate?

To find the relative growth rate

P1 = Poe^rt

P2 = Poe^rt

Thus;

1920 = Poe^4r ------ (1)

1966080 =Poe^12r -------(2)

P2/P1 gives;

1966080/1920 = Poe^12r/Poe^4r

1024 = e^12r/e^4r

1024 =e^8r

1024 = (e^r)^8

2^10 = (e^r)^8

e^r = 2^1.25

e^r = 2.38

r = ln(2.38)

r = 0.88

The initial size of the culture is;

1920 = Poe^(0.88 * 4)

Po = 1920/e^(0.88 * 4)

Po = 57

The  expression for the exact number of bacteria after t hours is

P(t) = 57e^0.08t

The growth (in bacteria per hour) after 9.5 hours is

P(t) = 57e^(0.88 * 9.5)

P(t) = 243544

For the number to reach 72,000;

72,000 =  57e^0.88t

72,000/57 = e^0.88t

ln 126 = ln[e^0.88t]

4.8 = 0.88t

t = 4.8/0.88

t = 5.5 hours

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Please please Help!

Need Answer to Multiple Choice! Brainliest!






The scores on the ACT exam are normally distributed with a mean of 21 and a standard

deviation of 5. If we selected a random sample of 37 test takers, what is the probability that the

sample mean of those test takers who would be less than a 19.8?

a) .0721

b) .5000

c) .0808

d) .0582

Answers

Answer:

a)  0.0721

Step-by-step explanation:

Let the random variable X be the score on the ACT exam.

Given:

mean (μ) = 21standard deviation (σ) = 5

Therefore, the random variable X is normally distributed:

[tex]X \sim\textsf{N}(21,5^2)[/tex]

Z-score for a sample mean

[tex]\textsf{If }\: X \sim\textsf{N}(\mu,\sigma^2)\:\textsf{ then }\: \overline{X} \sim \left(\mu,\dfrac{\sigma^2}{n}\right) \implies Z=\dfrac{\overline{X}-\mu}{\sigma / \sqrt{n}} \sim \textsf{N}(0,1)[/tex]

[tex]\textsf{then the test statistic is}: \quad z=\dfrac{\overline{x}-\mu}{\sigma / \sqrt{n}}[/tex]

Given:

[tex]\overline{x}[/tex] = 19.8μ = 21σ = 5n = 37

Therefore, the test statistic is:

[tex]\implies z=\dfrac{19.8-21}{5/ \sqrt{37}}=-\dfrac{6\sqrt{37}}{25}=-1.459863007=-1.46\:\: \sf (3\:s.f.)[/tex]

Using the Z-tables to find the probability:

[tex]\implies \text{P}(Z \leq -1.46)=0.0721[/tex]

explain me the formula for a point that forms a partiton of a ratio on a segment in the 2nd grade real numbers.


Let’s say the ratio a:b, our formula those becomes


{(bx1 + ax2)/(a + b) ,( by1+ay2)/a+b}


From the question, we can identify that


(x1,y1) = (-6,-1)


(x2,y2) = (4,8)


a = 1 and b = 3

Answers

The partition point is (-7/2, 23/4)

How to determine the partition point?

The given parameters are:

(x1,y1) = (-6,-1)

(x2,y2) = (4,8)

a = 1 and b = 3

The partition point is calculated as:

(x, y) = ((bx1 + ax2)/(a + b) ,( by1+ay2)/a+b)

So, we have:

(x, y) = ((3 * -6 + 1 * 4)/(1 + 3) ,(3 * 8 + 1 * -1)/1+3)

Evaluate

(x, y) = (-14/4, 23/4)

Simplify

(x, y) = (-7/2, 23/4)

Hence, the partition point is (-7/2, 23/4)

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One serving of vegetables is 1/2 cup. You want to make 2 1/2 servings of vegetables. How many cups of vegetables is that? Make a math drawing and write and annotate an equation for this problem.​

Answers

Answer: 1 1/4 cups

Step-by-step explanation:

1 serving is half a cup so 2 servings would be 1 cup

and half of a serving would be 1/4 of a cup

for a drawing you could do something like this

. Which of the following is parallel to
5x + 2y = 1?

Answers

Answer:

when the question is rearranged so that y is by itself, any of the options that say - 2.5x will be parallel.

Step-by-step explanation:

5x + 2y = 1

to get y by itself, simple algebra rules must be applied.

1. subtract 5x from both sides.

5x - 5x + 2y = 1 - 5x

2y = 1 - 5x

divide both sides by 2

2y / 2 = 1 / 2 - 5x / 2

twos cancel out on the left1/2 = 0.5- 5x /2 = - 2.5x

therefore the new equation is:

y = 0.5 - 2.5x

this is very close to standard form for a line which is y = mx + b

rearrange the right side of the equals sign:

y = -2.5x + 0.5

in a standard linear equation, the x value determines the gradient of the line. therefore, anything with the same gradient (in this case -2.5x) will be parallel to the given equation.

Hope this makes sense :)

Find the root of the function f(x)=−4x+1.

Answers

Answer: A

Step-by-step explanation:

[tex]-\frac{4}{x}+1=0\\\\1=\frac{4}{x}\\\\x=4[/tex]

IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each

Answers

Answer:

a: Angle EBD

b: Can't really phrase this well, a semicircle that is to the left or right of diameter BD

c: Arc EDC

d: 80 degrees

e: 180

Step-by-step explanation:

An inscribed angle is an angle with all 3 points on the circumference of a circle.

A semicircle is half a circle

A major arc is an arc greater than 180 degrees

The inner angle is 80 degrees

Arc BCD is half a circle so its 360/2=180 degrees

Educators should ensure math instruction is only taught through structured activities rather than through everyday situations and routines.
A- True
B- False

Answers

The statement ' educators should ensure math instruction is only taught through structured activities rather than through everyday situations and routines is True. Option A

Ways to improve mathematics education

They include;

Using hands-on learning methodsUsing visualsIntegration of mathematics gameConnecting math concepts to everyday lifeAllow students to explain their reasoningRewarding students progress

Thus, the statement ' educators should ensure math instruction is only taught through structured activities rather than through everyday situations and routines is True. Option A

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Answer:

Step-by-step explanation:

false

Find the slope between the two points given. Then, use the slope and one of the points to write the
equation of the line in Slope-Intercept form. State the slope and y-intercept.

Answers

Answer:

The slope is -2

y =-2x - 1

Step-by-step explanation:

The slope is -2 or -2/1.

The slope is the change in y over the change in x.  The ordered pair is written in the form (x,y)  The first number is the x coordinate and the second number is the y coordinate.

(1, -3) (0, -1)  The -1 and the -3 are the y coordinates.  We subtract these.

-1 -(-3)  is the same as

- 1 + 3  which is 2.  

(1, -3) (0, 1,) the 1 and the 0 are the x coordinates.  We subtract these

0 - 1  is -1

The change in y is 2 and the change in x is -1, so our slope is -2/1 which is the same as -2.

To write the equation we need the slope and the y intercept.  We have the slope now.  We need to find the y-intercept.  We will use the slope and one of the points to find the y-intercept.  It does not matter which of the two points (1,-3) or (0,-1).  I will use (0,-1)

y = mx + b The b is the y-intercept which is what we are looking for

-1 = -2(0) + b

-1 = 0 + b

-1 = b

y = -2x -1

If HK and GJ are congruent, what is the measure of GOJ?
125 ° 80°

Answers

Answer:

80°

Step-by-step explanation:

Congruent means the same size, so we know that the angle of the shapes made by the lines HK and GJ are the same, meaning that the angle of GOJ is simply 80°.

half a number is 21 less than double the number find the number.​

Answers

Answer:

14

Step-by-step explanation:

let the number be x

2x is larger than half of x by 21: 2x = 0.5+21

Solve:

2x = 0.5+21

1.5x = 21

x = 14

giving brainliest!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The function has 4 roots.

Step-by-step explanation:

Since the degree of the polynomial has is 4, there are a total of 4 roots (both real and complex).

Answer:

4 roots, two real and two complex.

Step-by-step explanation:

The degree of the polynomial indicates the number of solutions

Hope this helps

In the diagram the origin is at the center of a cube that has edges 6 units long. The x-,y-, and z-axes are perpendicular to the faces of the cube give the coordinates of the corner at point A.

Answers

Answer:

the third answer (-3, -3, 3)

Step-by-step explanation:

the dotted lines indicate that these lines (or part of lines) are invisible due to being inside or behind the cube.

so, we know that A is the left-back-upper corner of the cube.

the x-axis goes front-back. front is positive.

the y-axis goes left-right. right is positive.

the z-axis goes up-down. up is positive.

since the origin (0, 0, 0) is the center of the cube, and the sides are all 6 units long, the corners can have only -3 or +3 coordinates (half of a side length on either side of the origin) in each direction.

as we said : left-back-upper corner.

left means negative y.

back means negative x.

upper means positive z.

so, the coordinates of A are

(-3, -3, 3)

Answer to the question on the image attached to this thread. Thank you!

Answers

The solution of the system of equation of the matrix is as follows:

x = - 8

y = 3

How to find the solution of matrix?

3x + 10y = 6

x + 3y = 1

multiply equation(ii) by 3

3x + 10y = 6

3x + 9y = 3

Therefore,

y = 3

Hence,

x + 3y = 1

x + 3(3) = 1

x + 9 = 1

x = 1 - 9

x = -8

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What’s the volume of a rectangle solid with the given dimensions: length 20, width 23, height 26

Answers

The volume of the rectangular solid is: 11,960 units³.

How to Find the Volume of a Rectangular Solid?

The formula to find the volume of a rectangular solid is: (length)(width)(height).

Given the dimensions as:

Length = 20 unitsWidth = 23 unitsHeight = 26 units

Volume = (20)(23)(26)

Volume of the rectangular solid = 11,960 units³.

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1. Determine the
square units of the
figure below.

Answers

Answer:

10

Step-by-step explanation:

Other Questions
Peter is configuring a home server PC. Which of the following should be his least-importantpriority to include in his home server PC?A. File and print sharingB. Maximum RAMC. Gigabit NICD. Media streamingE. RAID array Please help due 5 min!!!! Using Python list comprehension, implement list conversion from one numeric list to anotherlist, which only contains those elements from the first list that are divided by 3 withoutremainder.Example of your code execution:list1 = range(30)list2 = [your code goes here]print(list2)Expected output:[0, 3, 6, 9, 12, 15, 18, 21, 24, 27] -49 = 7i, what number is the i. Create a class called Pet which contains:- A field for the name of the pet- A field for the age of the pet- Appropriate constructor and accessorsCreate a class called Dog which extends the Pet class and has:- A field for breed of dog- A field for body weight- Appropriate constructor and accessors- A toString method that prints the name, age, breed and weight of the dogCreate a class called Cat which extends the Pet class and has:- A field that describes the coat of the cat (example: short/long/plush/silky/soft)- A field for whether it is a lap cat- Appropriate constructor and accessors- A toString method that prints the name, age and coat type of the cat, and whether it is a lap catCreate a class called Fish which extends the Pet class and has:- A field for type of fish- A field for the color of its scales- Appropriate constructor and accessors- A toString method that prints the name, age, type and scale color of the fishWrite a main which asks the user to enter the number of pets (n) and then ask for the details of n pets. For each pet, first ask the user for the type of pet, then ask for the correct information depending on the type and create a Dog,Cat or Fish object as required. Add each pet to an ArrayList of Pets.After all information is entered and stored, print out the gathered information of all objects in the list, starting with the all the Fish first, then Cats and then Dog pesticides that are mixed in large spray rigs on vehicles must have a ""fill spout"". T/F? Select all that applyWhen organizations are defined by greed and secrecy, which of the following become central to employees?Multiple select question.profitability achievementpositive devianceuncertainty managementcreating resistance You and your friend are rolling number cubes. Each cube has 6 sides with the numbers 1 to 6. If a sum of 7 is rolled, yourfriend gets a point. However, you get a point if either one of the sums listed below is rolled. Which pair of numberswould make the game fair?O 12 and 8O 12 and 10O2 and 5O2 and 12 A stock advisor claims that Berkshire Hathaway, the investment co. run by Warren Buffett, generates positive alpha. How can we test this using a regression model? What are we looking for in the regression output? Write out the regression and state what we are looking for. an asset purchased 2 years ago for $40,000 is harder to maintain than expected. what is the $40,000? why was the blitzkrieg strategy so successful for hitler and germany what lesson did the battle of britain teach both germany and the allies Which of the following are passive footprinting methods? (Choose all that apply.)A. Checking DNS replies for network mapping purposesB. Collecting information through publicly accessible sourcesC. Performing a ping sweep against the network rangeD. Sniffing network traffic through a network tap A battery-operated car utilizes a 12.0 V system. Find the charge the batteries must be able to move in order to accelerate the 750 kg car from rest to 25.0 m/s, make it climb a 2.00 x 10^2 m high hill, and then cause it to travel at a constant 25.0 m/s by exerting a 5.00 x 10^2 N force for an hour. Examine this algebraic expression:3x4 2y + 37 simple organic molecules that are useful in separating a system from its surroundings so that far-from-equilibrium processes can build complexity are known as this is the last index in a string.a. 1b. 99c. 0d. the size of the string minus one The earliest anatomically modern human comes from Africa and date to around 190 ka. Decide which of the following cranial features are unique to modern humans or unique to another hominin species.-flat face-relatively small nose-vertical forehead-largest hominin brain size-prominent chin because of the use of quarter tones, arab musicians may potentially draw from a palette of __ pitches per octave in their music. Calculate the mass of 2. 18 x 10^22 molecules of B2H6? Show your work!!! c) A steel ring of radius 444mm is to be slipped on to a brass wheel of radius 450mm. To what maximum temperatureshould the steel ring be heated to enable fitting? What will be the stresses in the materials on cooling if the cross-sectional dimension of the steel ring is 20mm x 5mm and that of the brass wheel is 20mm x 40mm? (E for steel is200GPa, E for brass is 95GPa and coefficient of expansion for steel is 12 x 10-6/C (12 Marks)&10cm=16m