Please guys help me :( A bell tower that is 60 yards tall casts a shadow 32 yards long. If a nearby windmill is
45 yards tall, how long will the windmill's shadow be?
Write your answer as a whole number or a decimal. Do not round.

Answers

Answer 1

Answer:

The shadow of the windmill will be 24 yards long

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ A bell tower that is 60 yards tall casts a shadow 32 yards long

The tall = 60 yards and the shadow = 32 yards

∵ A windmill is  45 yards tall

The tall = 45 yards

→ By using the ratio method

→ Tall  :  Shadow

→  60   :  32

→  45   :  x

→ By using the cross multiplication

x × 60 = 45 × 32

∴ 60x = 1440

→ Divide both sides by 60

∵ [tex]\frac{60x}{60}=\frac{1440}{60}[/tex]

x = 24

The shadow of the windmill will be 24 yards long


Related Questions

PLZ HELP WITH MATH
48% of what number is 24?

Answers

Answer:

[tex]\huge\boxed{50}[/tex]

Step-by-step explanation:

In order to solve for this number, we have to create a percentage proportion.

We know that 24 is 48% of something, so we can create a ratio like this:

[tex]\frac{24}{x}=\frac{48}{100}[/tex]

We can then cross multiply and then divide to find the value of x.

[tex]24 \cdot 100 = 2400[/tex]

[tex]2400 \div 48 = 50[/tex]

So 24 is 48% of 50.

Hope this helped!

48 percentage of the number 50 is 24.

To find the number, you can set up an equation where 48% of that number is equal to 24.

Let's represent the unknown number as "x."

48% of x is written as 0.48x.

Setting up the equation:

0.48x = 24

To solve for x, divide both sides of the equation by 0.48:

x = 24/0.48

Evaluating this expression:

x = 50

Therefore, 48% of 50 is 24.

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If x=5 and the area of the rectangle is 30 what is the other length of the rectangle?

Answers

Answer:

The other length would be 6.

Step-by-step explanation:

Rectangle area is l times height. So x is either the length for height. So we have 5 times x = 30. To find the other length we have to take 30/5 which equals 6

someone help please will give brainliest

Answers

Answer: Ithink it’s 3, 5, 9
no completely sure but it could be 0, 3, 5

Edith has 8 grandchildren, and she gave each of them $33.55.
How much money did she give to her grandchildren altogether?
O $264.44
O $268.00
O $268.40
O $348.40

Answers

Answer:

$268.40

Step-by-step explanation:

You have to multiply so you can find how much she/he gave to the grandchildren.

please help me so much quick :)

Answers

Answer:

22 < x < 74

Step-by-step explanation:

Given 2 sides of a triangle with third side x , then

difference of 2 sides < x < sum of 2 sides , that is

48 - 26 < x < 48 + 26 , so

22 < x < 74

Factorise x cube -2x square -5x plus 6

Answers

Answer:   {(x + 2), (x - 1), (x - 3)}

Step-by-step explanation:

Presented symbolically, we have:

x^3 - 2x^2 - 5x + 6

Synthetic division is very useful for determining roots of polynomials.  Once we have roots, we can easily write the corresponding factors.  

Write out possible factors of 6:  {±1, ±2, ±3, ±6}

Let's determine whether or not -2 is a root.  Set up synthetic division as follows:

-2   /   1   -2   -5   6

              -2     8   -6

     -----------------------

        1     -4      3    0

since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial.  The coefficients of the product of the remaining two factors are {1, -4, 3}.  This trinomial factors easily into {(x -1), (x - 3)}.

Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}

Write as an exponent with the base of b:
[tex]b^{n} b^{5}[/tex]

Answers

b^n+5
When multiplying exponents the numbers are added

HELP GEOMETRY QUESTION FOR HELP WITH HISTORY OR SPANISH

Answers

Answer:

its either angle z and x or angle x and z

Step-by-step explanation:

Write a slope-intercept form equation for a line that passes through (0,4) and (2,-2).
Show the step by step process please.

Answers

Answer:

-3

Step-by-step explanation:

Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:

m =

y2 - y1

x2 - x1

i want to purchase a necklace for 325$ . ive already saved 115.00 and can set aside 22.00$ a week . which inequality can be used to find the number of weeks it will take to save at least 325.00$?

Answers

Answer:

22w + 115 = 325           w = about 10 weeks

Step-by-step explanation:

The first part of this inequaltiy is 22w. Since he/she will set aside $22 a week, you would put a variable because the number of weeks you will need to set aside $22 is unknown therefore you put a variable that makes sense. I put w because you can say that w=weeks. The next part of the inequality is adding $115 because he/she has already saved $115 so we add that to 22w. Finally 22w+115 has to equal $325 because that is how much the necklace costs. Hope this helps!

A brand new car costs $18,000, this price depreciates at 25% every year, how much would the car be after 12 years? 20 years?

Answers

Answer:

C(12)=$570.18

C(20)=$57.08

Step-by-step explanation:

Exponential Decay Function

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function is expressed as:

[tex]C(t)=C_o\cdot(1-r)^t[/tex]

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The depreciation of goods is often modeled as an exponential function. The new car costs $18,000 and its price depreciates at r=25%= 0.25 every year.

The depreciation model is:

[tex]C(t)=18,000\cdot(1-0.25)^t[/tex]

Operating:

[tex]C(t)=18,000\cdot 0.75^t[/tex]

At t=12 years, the price will be:

[tex]C(12)=18,000\cdot 0.75^{12}[/tex]

C(12)=$570.18

At t=20 years, the price will be:

[tex]C(20)=18,000\cdot 0.75^{20}[/tex]

C(20)=$57.08

Need help fast please !!!!

Will mark as brainliest!!!!

Answers

Answer:

84 I think

Step-by-step explanation:

I I went down like a math rabbit hole I can't explain it

Answer:

VY = 84

Step-by-step explanation:

It says that S is the circumcenter of XYZ, this means that S is equidistant from the 3 vertices.

Hence,  XS = YS = ZS = 116

A deer travels at the rate of 42 miles in 6 hours. How many miles does it travel in one hour?

Answers

Answer:

7

Step-by-step explanation:

42/6 = 7

[Congress shall have the power] To make all Laws which shall be necessary and proper for carrying into Execution the foregoing Powers, and all other Powers vested by this Constitution in the Government of the United States, or in any Department or Officer thereof. Which phrase in this passage signifies implied powers? foregoing Powers Government of the United States necessary and proper Department or Officer

Answers

Answer:

the answer is C

Step-by-step explanation:

Answer:

necessary and proper

What is the equation of a line, in point-slope form, that passes through (-8, 1) and has a slope of 5/6?

Answers

Answer:

y-1=[tex]\frac{5}{6}[/tex](x+8)

Step-by-step explanation:

1. y-y1=m(x-x1) (point slope form)

2. y1 is the y of your given point and x1 is the x of your given point

3. m is the slope

f(4) if f(x) = 3x - 1

Answers

beeeeeeeeeeeeeeep hope it helps

Simply substitute the value of 3 given. In other words,

f(3) is the function of

f(x), however, in this case, x is 3

f(3)=3(3)−4

Distribute 3 through the parenthesis

f(3)=9−4

Simplify

f(3)=5


Lines p, q, r, and s are coplanar. If like p is perpendicular to line q, line q is perpendicular to line r, and line s is parallel to line p, then what conclusion can we make about lines s and r?
A. Lines s and r are parallel
B. Lines s and r are perpendicular
C. Lines s and r are neither parallel nor perpendicular
D. No conclusion can be made

Answers

Answer:

A

Step-by-step explanation:

To get the answer here, we simply start looking from what we had initially

From the initial point, we can see that line p and line r are perpendicular

The reason for this is because, line q serves as a point for the two and since q is perpendicular to p and r, then p and r are perpendicular

So since s is parallel to like p and line p

is perpendicular to r, then r and and s must be parallel too

Sid earns $135 per day as a babysitter. He works 9 hours each day. How much does he eam in an hour?
OA 517
OB. $15
OC. $14
OD. $12
OE $11

Answers

The correct answer is B

Answer:

B is the answer

Step-by-step explanation:

Mark me as the brainliest,thank you

#Carryonlearning

SOMEONE PLEASE HELP DUE IN 3 MINS

is this right? ​

Answers

Answer:

YES you are right

Step-by-step explanation:11 squared equals 121

It’s 1 and 2. 11x11= 121. And -11x-11=121

Write the equation of the line fully simplified slope intercept form

Answers

Answer:

y = - 5x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, - 5) ← 2 points on the line

m = [tex]\frac{-5-0}{0+1}[/tex] = - 5

The line crosses the t- axis at (0, - 5) ⇒ c = - 5

y = - 5x - 5 ← equation of line

Y=-5x-5
Find the gradient (m) using 2 random coordinates and the equation m=y2-y1/x2-x1 which is -5 in this case.
Find the y-intercept (c) by seeing where the line intercepts the y-axis which is -5 in this case.
Sub these numbers into ‘slope-intercept form’ which is y=mx+c.

The sum of three consecutive integers is - 75.
What is the value of the smallest of the three integers?
O A. -23
O B. – 24
O c. -25
OD. -26
O E. -27

Answers

The answer is B or -24.

If you add -24+-25+-26 it will give you -75

answer asap!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

This is a reflection over x-axis.

please help me :( ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

Answers

Answer:

B and D

Step-by-step explanation:

Those are correct. She won't lose $10, and she will lose $30, not $20.

Hope this helps plz mark brainliest ;D

5x - 7 = 8x + 14
I will give 30 points
please do not just answer for points i actually really need help fast

Answers

Answer: -7

Step-by-step explanation:

5x - 7 = 8x + 14 ->    5x = 8x + 21  ->   -3x = 21  ->   x = -7

There are two rectangular prisms. The base of the first prism is a
3-in-by-3-in square. The base of the second prism is also a square
whose side is 1 inch shorter. One prism is 10 inches taller than the
other prism. If both prisms have the same volume, what is the
volume of each prism in cubic inches?

Answers

Answer:

3 cubic inches

Step-by-step explanation:

v= 1/2 * b*h

v = 1/2 * 3*3

v =3 cubic meters

( only 70 %  sure)

If f(x)=−3x2−2x+1, find 2[f(r)]

Please use your BIG BRAIN SKILLS this is the last question on my test please help..... :{

Answers

Answer:

[tex]-6x^2r-4xr+2r[/tex]

Step-by-step explanation:

[tex]f(x)=-3x^2-2x+1\\\\2[f(r)][/tex]

Plug in the value of f of x into the second expression:

[tex]2[(-3x^2-2x+1)(r)][/tex]

Use the distributive property to distribute the two:

[tex]2(-3x^2)+2(-2x)+2(1)[r]\\\\-6x^2-4x+2[r][/tex]

Distribute each value among r:

[tex]-6x^2r-4xr+2r[/tex]

:Done

y=3+2
Choose all that apply
- 10.0)
(15,2)
(0.5)
(
53)

Answers

Answer:

0.5 I believe

Step-by-step explanation:

Write an equation for the nth term of the sequence 12, 5, -2, -9,....

Answers

Answer:

n-7

Step-by-step explanation:

when n=12

.: n-7= 12-7=5

when n=5

.:n-7= 5-7= -2

when n=-2

.: -2-7= -9 and so on

The equation that can be used for the nth term of the sequence of 12, 5, -2, -9, and many more will be “n-7”.

What is a sequence?

The sequential ordering of two or more things. two or more objects in orderly succession and orderly chronology. an orderly collection of items or concepts that are connected. something that occurs after another event or series of events.

An enumerated collection of things in mathematics known as a sequence allows repetitions and emphasizes the importance of order. It has members, similar to a set. The sequence's length is expressed in terms of its number of elements.

The word "sequence" refers to a grouping of connected items or occasions, or the succession of their occurrences. A group of numbers in a certain order is called a sequence. There are positions first, second, third, and so on for each phrase in a series.

[tex]n=12\\n-7 = 12-7 =5\\n=5\\n-7 = 5 - 7 = -2\\n=-2\\ -2 -7 = -9[/tex]

Therefore, the equation that can be used for the nth term of the sequence of 12, 5, -2, -9, and many more will be “n-7”.

Learn more about sequence from here:

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Question in picture solve

Answers

Answer:

x= 13.5

Step-by-step explanation:

f(x) = 2x + 9

f(x) = 36

Set the 2 equations equal to each other;

2x + 9 = 36

Subtract 9 from both sides;

2x = 27

Divide both sides by 2;

x = 13.5

Check:

f(x) = 2x + 9

f(13.5) = 2(13.5) + 9= 27 + 9 = 36

ANSWER PLEASE? I NEED HELP!

Answers

Answer:

5x+2=17

x=3

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

17-2=15

15/5=3

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