The angle of elevation to the top of a Building in New York is found to be 4 degrees from the ground at a
distance of 1.75 miles from the base of the building. Using this information, find the height of the building.
Round to the nearest whole number.
Your answer is
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feet.

Answers

Answer 1

The height of the building can be  649.44 ft

What is angle of elevation ?

angle of elevation states that the angle which is formed between line of sight and horizontal line.

Given,  the base of the triangle is 1.75 mile. The angle opposite of the tall side, x, is 4 degrees.

height of the building is an unknown variable (x) .

tan(angle) = opposite length /adjacent length.

Opposite length is x, adjacent length is 1.75 mile, angle is 4 degrees.

tan(4º) = x / 1.75

rearrange for x

x = 1.75*tan(4º) = ~1.75*0.0699  miles.

x = ~0.123

Now to get feet, just multiply by 5,280 ft in one mile

Height of the building is 0.123 miles * 5280 ft/mile = 649.44 ft

Hence , The height of the building can be  649.44 ft .

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Related Questions

To be eligible for the swim team, the mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s). The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

What is the maximum time (in seconds) that she can take on her last lap and still make the team?

Answers

52s is the maximum time that she can take on her last lap and still make the team.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).

The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

We need to find the maximum time (in seconds) that she can take on her last lap and still make the team

Let x be the maximum time (in seconds) that she can take on her last lap

60=(63+62+65+58+x)/5

300=63+62+65+58+x

300=248+x

Subtract 248 on both sides

300-248=x

x=52s

Hence, 52s is the maximum time that she can take on her last lap and still make the team.

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What is the value of the expression below when x=2?
8x^2 +6x-8
8x
2
+6x−8

Answers

When we evaluate the expression 8x² + 6x - 8 in x = 2, we will get the value 36.

What is the value of the expression when x = 2?

Here we need to evaluate the following expression:

8x² + 6x - 8

in x = 2.

Evaluating means that we need to replace the variable by the given number. Replacing the "x" by 2, we will get:

8*2² + 6*2 - 8

8*4 + 12 - 8

8*3 + 12

24 + 12 = 36

When x = 2, the expression is equal to 36.

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Lana wants to enclose a garden plot each side of the garden will be 9 feet what is the area of the garden

Answers

The area of garden will be 81 feet².

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Each side of the garden = 9 feet

We know that;

⇒ Area of square = Side²

Here, Each side of the garden = 9 feet

Hence, The area of garden = 9²

                                           = 81 feet²

Thus, The area of garden = 81 feet²

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What is the equation of the least squares regression line for the data set?

Answers

The equation of the least squares regression line for the data set is (b) ŷ = -2.984x + 112.38

How to determine the equation of the least squares regression line for the data set

From the question, we have the following parameters that can be used in our computation:

Volunteer 15 11 22 35 18 41 27 18

Trees 77 99 4 11 44 14 2 90

Using a graphing calculator, we have the following calculation summary

Sum of X = 187Sum of Y = 341Mean X = 23.375Mean Y = 42.625Sum of squares (SSX) = 741.875Sum of products (SP) = -2213.875

The regression equation is represented as

ŷ = bX + a

Where

b = SP/SSX = -2213.88/741.88 = -2.98416

a = MY - bMX = 42.63 - (-2.98*23.38) = 112.37978

So, we have

ŷ = -2.98416X + 112.37978

Approximate

ŷ = -2.984x + 112.38

Hence, the equation  is ŷ = -2.984x + 112.38

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correct 0.00798516 to three significant figures ​

Answers

Answer:  0.00799

Explanation:

The zeros in 0.00798516 are not considered significant because they are not between nonzero values.

If we had something like 1.207, then that zero would be considered significant.

The first three significant values we come across in 0.00798516 are 7, 9 and 8 in that order. The next digit 5 meets the criteria of "5 or larger", which means the 798 bumps up to 799. Erase everything to the right of that.

Therefore, 0.00798516 rounds to 0.00799 when rounding to 3 significant figures.

Answer: 0.00799

0.00798516 rounded off to three significant figures is 0.00799

hope that helps...

Decide whether triangles ABC and DEC are similar. Explain or show your reasoning.

Answers

Triangles ABC and DEC are similar.

What is triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Here, we have,

Given the triangles ABC and DEC

For the triangle ABC:

m∠A = 36, m∠B = 21

So, the m∠C = 180 - (m∠A + m∠B ) = 180 - (36 + 21) = 123

Similarly, the angles of DEC are,

m∠D=36 , m∠C=123 & we get,  m∠E =21

So, comparing the measurements of the angles of both triangles:

m∠A=m∠D.

m∠C=m∠C

m∠B=m∠E

So, the triangles are similar using the AAA postulate.

Hence, triangles ABC and DEC are similar.

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which fractions, when converted, result in a repeating decimal? select all that apply 1/8 1/6 3/12 8/9 2 and 4/5 4 and 3/11​

Answers

Answer:

B. 1/6

D. 3/12

F. 4 3/11

PLEASE MARK BRAINLIEST

y-5=-7/3(x-3) in standard form

Answers

Answer: The equation Y-5 = -7/3(X-3) in standard form is:

3Y - 15 = -7X + 21

Step-by-step explanation:

At the end of an interview you are offered a job. You would start at 7.50 an hour and work an average of 45 hours a week. At the end of six months with a positive evaluation, your hourly pay would increase to 8. The job pays overtime at a time and a half rate, based on 37 1/2 hour regular work week. What total earrings could you expect to make by working a full year

Answers

By working a full year, you may expect to earn a total of $19,646.25 in earrings.

Explain about the expression?

This mathematical operation enables the multiplication, division, addition, or subtraction of numbers. The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)

An expression, also known as an algebraic expression, is any mathematical statement that consists of numbers, variables, and an arithmetic operation between them. For example, the mathematical sign + separates the phrases 4m and 5 from the variable m in the phrase 4m + 5.

Combining numbers, variables, and operators to represent something's value is known as a mathematical expression. Setting two expressions equal to one another creates an equation, a mathematical statement.

= Total overtime pay of $2,193.75 (first 6 months)

Add the regular and overtime pay after that:

= $7,312.50 + $2,193.75

= $9,506,25 in total income (first 6 months)

$7,800.00totalregularpay(last6months)

Overtime pay:(26weeks in a half year) \=$8\times

7.57.5\times1.51.5\times

$ 26

= Total overtime pay of $2,340.00 (last 6 months)

Add the regular and overtime pay after that:

= $7,800.00 + $2,340.00

= $10,140.00 in total income (last 6 months)

In the end, add the combined earnings from the two half years:

= $9,506.25 + $10,140.00

= Total annual profits of $19,646.25 (expected)

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Given it was not a strike, what is the probability it was a knuckle
ball? Enter the answer as a percent (%)to the nearest tenth.

Answers

In response to the above problem, we may state that the triangle's - 5/13 measurements correspond to sin and cos.

Trigonometric functions: what are they?

The first six essential trigonometric functions are used in trigonometry. These functions are trigonometric ratios. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six basic trigonometric functions. The side ratio of a right-angled triangle is equivalent to the identities and functions of trigonometry. Trigonometric formulas are applied to the perpendicular side, hypotenuse, and base of a right triangle in order to calculate the sine, cosine, tangent, secant, and cotangent values.

as base/hypotenuse = cos x

and sin x = hypotenuse/perpendicular

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Photo attached someone please help
thanks

Answers

By drawing the line x + y = 2, one of the solution to the given system of equations is (0, 2).

What is the equation of a circle?

Mathematically, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²  

Where:

h and k represents the coordinates at the center of a circle.r represents the radius of a circle.

From the information provided, we have the following system of equations:

x² + y² = 9             ......equation 1.

x + y = 2              .............equation 2.

Next, we would use an online graphing calculator to plot the given system of equations and then highlight (read) the point of intersection, which is the ordered pair (0, 2).

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Please solve the ques below:

Answers

Answer:

510 miles

Step-by-step explanation:

                                       A                     B

Rate                               80                  120

Time                                 x                     x - 2

Distance        

Distance = rate x time

A's distance

d = 80x

B's distance

d = 120(x -2)          

The distances equal each other when B catches up to A.  Set the equations equal to each other and solve for the time

80x = 120(x -2)  Distribute the 120

80x = 120x - 240  Subtract 120x from both sides

-40x = -240    Divide both sides by -40

x = 6

After 6 hours, B caught up with A.  Substitute 6 for t and find the distance. You can use A or B.    

d= 80x

d = 80(6)

d = 480

We need to add another 30 miles to get to the next town.

480 + 30 = 510

SAVINGS Natalie has $250 in her savings account, into which she deposits $10 of her allowance each week. The balance of her savings account can be modeled by the function f(w)=250+10w, where w represents the number of weeks. Which function g(w) represents the balance of Natalie’s savings account if she withdraws $40 to purchase a new pair of shoes? Describe the translation of f(w) that results in g(w).

Answers

Answer:

Answer:Step-by-step explanation:GivenRequiredDetermine g(w)First, we'll write an expression for g(w)From the question, we understand that she withdrew $40 from her account balance in w weeks.This implies that:Where f(w) is the account balance in w weeks and $40 is the withdrawn amountSubstitute 250 + 10w for f(w)Collect Like TermsRecall that:This means that function f(w) when shifter by 40 units downward, gives g(w)

Step-by-step explanation:

A 3-gallon container of disinfectant costs $36.24. What is the price per quart?

Answers

Answer:

10.74666666666667 per quart

Step-by-step explanation3 divided 36.24

whats 2+2 pls i have a test tomorrow i need to pass it

Answers

4. Some other ways to get 4 are 2^2, 4/1, 2x2, 5-1, and 1+3.
Factors include:
1, 2, and 4. As a result, it’s not a prime number.
the answer to this question is 4

leila says that 75% of a number will always be greater than 50% of any other number
support
75% of ____>50% of _____
refute
75%of ____ < 50% of_____

Answers

Answer:

it is not always true that 75% of a number will be greater than 50% of any other number

Step-by-step explanation:

Leila's statement is not true. It is possible for 50% of a number to be greater than 75% of another number.

For example, consider the numbers 10 and 100. 50% of 10 is 5, and 75% of 100 is 75. In this case, 50% of 10 (5) is greater than 75% of 100 (75).

Here's another example: 50% of 20 is 10, and 75% of 30 is 22.5. In this case, 50% of 20 (10) is again greater than 75% of 30 (22.5).

Therefore, it is not always true that 75% of a number will be greater than 50% of any other number.

Simplify. 3(x+2y)+5x−y+1
A 8x+y+1
B 8x+5y+1
C 8x+7y+1
D 6xy+5x−y+1

Answers

Answer: 8 x + 5 y + 1

8x+5y+1

so that would be B)

Answer is B.) 8x + 5y + 1

Step by step.

3(x + 2y) + 5x -y + 1

PEMDAS is the rule of math order of operations. It says to perform parenthesis first. Distribute multiply 3 x both variables in ( ).

3x + 6y +5x -y +1

Now combine like terms
This means add x’s then y’s then constants.
You can only add like terms that are the same.

8x + 5y + 1

So B. Is your answer

Hello, I am stuck on this question which is a exchange rate question

if 1 sar is worth 0.05 US dollars, how many south african rand is 1 US dollar worth?

Answers

Answer:

0.05 US$=1 sar

then,1 US$=1/0.05 sar.

54% of 59.7 is what?

Answers

Answer:

Step-by-step explanation:

15.9 beacuse yeah thats it

The answer would be 32.238

Carmen and her dog, Duke, walk 5 blocks in 8 minutes. Terell and his dog, Lady, walk 8 blocks in 12 minutes. Who walks at a slower rate? How long whould it take that person to walk 12 block?

Answers

Carmen and her dog, Duke walked at a slower rate at 0.625 blocks/min

Carmen and her dog, Duke would take 19.2 minutes to work 12 blocks.

What is rate?

In math, a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate. The word "per" can be further replaced by the symbol "/" in problems.

Carmen/Duke walks 5/8 = 0.625

Terell/Lady walks 8/12 = 0.677

Therefore, from the average time, Carmen and Duke walk slower.

Carmen and Duke will walk 12 blocks in;

= 12/0.625

= 19.2 minutes

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Please help will mark

Answers

Answer:

this is the graph and just find the slope each equation

what is the correct factorization of 100^12

Answers

Answer:

GCF of 12 and 100 by Prime Factorization

Prime factorization of 12 and 100 is (2 × 2 × 3) and (2 × 2 × 5 × 5) respectively. As visible, 12 and 100 have common prime factors. Hence, the GCF of 12 and 100 is 2 × 2 = 4.

GCF of 12 and 100 by Listing Common FactorsFactors of 12: 1, 2, 3, 4, 6, 12Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

There are 3 common factors of 12 and 100, that are 1, 2, and 4. Therefore, the greatest common factor of 12 and 100 is 4.

please help it’s due in half an hour

Answers

Answer:

(a) They asked for one value of x

but I'll give you both

They're 2 and -2

(b)g(-1) = 4

Step-by-step explanation:

For (a) they're are looking for the value of x that is corresponding to 1 on the y axis

If you observe from your graph only -2 and 2 will have a corresponding value of 1 therefore they're the answers

for (b) Just look for the corresponding value of -1(x -axis) on the y axis which is 4

What is the major theme and minor theme in “Arachne and the weaving contest”

Answers

The central theme of Arachne is human limitation and hubris.The center of the ellipse is located midway between the foci .

What is major axis ?

The center of the ellipse is located midway between the foci. The minor axis is the line segment going through the center and perpendicular to the major axis, with both endpoints on the ellipse. The length of the ellipse's major axis is equal to the bigger of 2a or 2b, while the length of its minor axis is equal to the smaller. The major axis, which is the largest distance between any two points on the ellipse, is the line that connects both foci and runs from one end to the other. The minor axis, which is the shortest path between two points on the ellipse, is the line that passes through the center of the major axis in a perpendicular direction.

given

The central theme of Arachne is human limitation and hubris. Arachne, a young girl who is a remarkably gifted weaver, thrives on the adulation of her customers.

As a result of her youth and inexperience as well as her awareness of her exceptional talents, Arachne eventually boasts that her weaving is even greater than Athena's.

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7 x (n + 3) = (7 x 2) + (7 x 3)

Answers

Answer:

N = 2

Step-by-step explanation:

We must solve for N.

Solve inside the parenthesis if needed, otherwise open them

7n + 21 = (14) + (21)

Now solve, then simplify

7n + 21 = 35

7n = 35 - 21

7n = 14

N = 2

Please help will mark Brainly

Answers

Answer:

  y < 1/2x +6

Step-by-step explanation:

You want the inequality graphed in the given figure.

Line and shading

The line is dashed, and the shading is below it, so the inequality will have the form ...

  y < ...

This is because the boundary line is not included, and the y-values in the solution are less than those on the boundary line.

Boundary line

The y-intercept is at +6, where the line crosses the y-axis.

The line goes 2 units to the right for each 1 unit up, so its slope is ...

  m = rise/run = 1/2

The slope-intercept equation for the boundary line is ...

  y = mx +b . . . . . . slope m; y-intercept b

  y = 1/2x +6 . . . . . equation of the boundary line in the graph

Inequality

Putting the boundary line expression into the inequality form gives the inequality that describes the graph:

  y < 1/2x +6

Dilate the line shown by a scale factor of 1/4 with the center as (-3,9). Graph the dilated line

Answers

On solving the provided question we can say that - the coordinates from the graphs will be P' = (0.0); Q' = (1,0); R' = (1,1); S' = (0,1)

what are coordinates?

A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is r

A fixed point serves as the dilation's center.

Dk is used to represent dilation, where k is the scale factor.

Dk (x, y) = for a dilation centered on the origin (kx, ky)

Let's assume that you have a PQRS rectangle where

P = (0,0)

Q = (4,0)

R = (4,4)

S = (0,4)

You must multiply each coordinate by 1/4 to achieve the dilation of this PQRS to P'Q'R'S' with a scale factor of 1.

P' = (0.0)

Q' = (1,0)

R' = (1,1)

S' = (0,1)

You may plot both of these rectangles to see that they are the same size and are centered on the origin, but they have different shapes.

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Find all the zeroes of the equation.
x4-6x2-7x-6 = 0

Answers

Zeros of the given equation are {-2, 3, (-1±i√3)/2}

Solution:-

As the last term is -6 then, ± 2 , ±3 are possible zeroes.

Try 2:-

[tex]2^4-6*(2)^2-7*2-6=-28[/tex] so  2 is not a zero.

Try 3:-

[tex]3^4-6*(3)^2-7*3-6=0[/tex]  so 3 is a zero.

[tex](-2)^4-6*(-2)^2-7*(-2)-6=0[/tex]  so -2 is also a zero.

Divide the function by (x +2)(x - 3),  that is  [tex]x^2 - x - 6[/tex]

gives  [tex]x^2 + x + 1[/tex]

[tex]x^2 + x + 1[/tex]

So we have [tex]x^2 + x + 1 = 0[/tex]

[tex]x = [-1 +\sqrt{1^1 - 4*1*1}] / 2[/tex]

= -1 + √(-3) / 2 , - 1 - √(-3)  / 2.

= -0.5 + 0.866i, -0.5 - 0.866i

What are math roots?

In mathematics, the number that results in the original number when multiplied by itself is called the root.

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Shana wants to buy a music player. She has $100 cash.

Can Shana afford an $89 unit plus HST? Yes or No?

Provide an estimate or a calculation to support your answer=

What is the original price of the most expensive item
Shana can buy for $100?

Answers

Yes, Shana can afford an $89 unit plus HST. The total cost of the unit would be $100.20, which is within her budget. The original price of the most expensive item Shana can buy for $100 is $89.

a parallelogram has sides that are in the ratio of 7:5 the premeter of the parallelogram is 48 how long does the longer side

Answers

Hello there!

Answer:

14

Step-by-step explanation:

Let the smaller side is x. Then the largest side is x * 7/5.

Perimeter is equal to 2 * (x + 7/5 * x) or 48.

2 * (x + 7/5 * x) = 48

5/5 * x + 7/5 * x = 24

12/5 * x = 24

12/5 * 5/12 * x = 24 * 5/12

x = 10.

Tha larger side is 10 * 7/5 = 14.

Step-by-step explanation:

Given ,

Ratio of the sides of a parallelogram are 7:5Perimeter of a parallelogram is 48

To Find : Which side is longer

We know the formula to find the perimeter of a parallelogram is,

[tex]P = 2(a+b)[/tex]

We take 'x' to find out which side is longer

[tex]48 = 2(7x+5x)\\48 = 2(12x)\\48 = 24x\\\frac{48}{24} = x[/tex]

[tex]2 = x[/tex]

Side a = 7x = 7 x 2 = 14

Side b = 5x = 5 x 2 = 10

Side a [tex]\geq[/tex] Side b

Hence,  side a is longer

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