If a stone tower is 15 meters tall and casts a shadow 8 meters long, then how long of a
shadow will be cast by a nearby radio tower that is 60 meters tall?

Answers

Answer 1

Answer:

32 meters long (please double-check! sometimes ppl make mistakes)

Step-by-step explanation:

the ratio of height to shadow length is 15:8, as established in the first sentence. if both sides of the ratio are multiplied by 4 then the ratio becomes 60:32.

more in depth:

if you think of it as fractions (which ratios can be written as) multiplying both the numerator and denominator by four is the equivalent of multiplying by 4/4 aka 1 so the value still stays the same (one times something is the same thing). since the ratio of height to shadow length is constant we needed to solve for the ratio in which the height is 60, so multiply each side by 4 (aka 60 divided by 15) to find the new ratio, 15(4):8(4) or 60:32. the ratio 60:32 describes height to shadow, so while the height is 60 (said in the problem) then the shadow length is 32. adding units, the answer would be 32 meters.


Related Questions

Solve this proportion c-1/c+2=4/7

Answers

Answer:

c = 5

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Define

[tex]\frac{c-1}{c+2} =\frac{4}{7}[/tex]

Step 2: Solve for c

Cross multiply: [tex]7(c-1)=4(c+2)[/tex]Distribute: [tex]7c-7=4c+8[/tex]Subtract 4c on both sides: [tex]3c-7=8[/tex]Add 7 to both sides: [tex]3c=15[/tex]Divide both sides by 3: [tex]c=5[/tex]

Step 3: Check

Plug in c to verify it's a solution.

[tex]\frac{5-1}{5+2} =\frac{4}{7}[/tex]

[tex]\frac{4}{7} =\frac{4}{7}[/tex]

Solve for x. 3x/4+2=4x-1

Answers

I believe the Answer is : 12/13

HELP I SUCK AT MATH HELP ASAP PLZZZ!!! GIVING BRIANLIEST AND POINTS.

Henry is starting a t-shirt printing business and plans on selling each shirt for $30, with his cost being $8 per shirt. The equipment will cost $1200.

Henry orders 600 shirts and determines that the profit for his new business is modeled by the function p = 22x - 1200. What is the range of this function in this context?
A) {0 ≤ p ≤ 500}
B) {0 ≥ p ≥ 500}
C) {-1,200 ≤ p ≤ 2,000}
D) {-1,200 ≤ p ≤ 12,000}

Answers

Answer:

isD  

Step-by-step explanation:

Answer:

D) {-1200 < p < 12,000}

Step-by-step explanation:

have a good day

at what rate of interest the compound amount on rs 8000 for 2 years is rs 10648? Please someones help me ​

Answers

Answer:

hope this helps and pls mark as brainliest

a movie sells tickets for for the cost of 4$ and 6$.there is a total of 75 tickets for a total of 400$,how many tickets were sold

Answers

50 $6 TICKETS WERE SOLD
25 $4 TICKETS WERE SOLD

hope this helped :)

Hellllppppp!!!! Pleaseeeee

Answers

Answer:

32 degrees

Step-by-step explanation:

It a isosceles triangle , so what you do is 180-116 and divided that by 2

Antwan’s car loan is automatically deducting $150 from his bank account every month. How much will the deductions total for the year?

Answers

Answer:

$1,700

Step-by-step explanation:

Multiply the rate that money is being taken out at by the amount taken out at

12 x 150

1. find the distance between the points (-4,-6 ) and (8,5) to the nearest 100th of a unit. *
(3 Points)
16.26
16.32
16.28

Answers

Answer:

Distance is 16.28.

Step-by-step explanation:

[tex]Distance=\sqrt{((5--6)^{2}+(8--4)^{2} } =\sqrt{11^{2}+12^{2} }=\sqrt{121+144} =\sqrt{265}=16.28[/tex]

I need help on this math question

Answers

Answer:

[tex]3\sqrt{2}+3\sqrt{7}[/tex]

Step-by-step explanation:

looks like your question don't need a step.

<3

Red


D(-3,4) E(7, 6) 1:3

Answers

Answer:d

Step-by-step explanation:

What is 10 times greater than 2000

Answers

Answer:

20,000

Step-by-step explanation:

Let's take it step-by-step

10 times greater than 2,000

10 x 2 = 20, 10 x 20 = 200, 10 x 200 = 2,000, 10 x 2,000 = 20,000

just remember to add a zero after each number so, if you have 10 x 20, just take the 2 and but a zero, 20, 10 x 20 = 200, Etc.

If you need more help let me know :)

Ten times greater than 2000 is 2000.

How to find out how many times greater or less given quantities are relative to each other ?

To find how much greater one quantity is to other just divide other quantity by one quantity.If how many times is given and have to find greater just multiply the given quantity by the given times.

In the given question 10 times greater than 2000 is 2000 multiplied by 10   = 20000

To reverse check divide 20000 by 2000 and the result should match the previous result you have obtained.

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The ratio of girls to boys in Mr. Neal's class is 15:19 what percent of the students are girls?

Answers

Answer:

15/34

Step-by-step explanation:

add 15+19=34

then make it a fraction

3) Find three consecutive integers such that 3 times
the largest integer is twice the sum of the other two
integers.

Answers

Answer:

wepppp

Step-by-step explanation:

On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a negative slope and has a formula of y = negative x. The parallelogram has points G (negative 2, negative 3), F (1, negative 3), E (negative 1, negative 5), and H (2, negative 5).
What are the coordinates of the image of vertex F after a reflection across the line y = –x?

(–1, –3)
(3, –1)
(1, 3)
(–3, 1)

Answers

Answer:

B. (3, -1)

Step-by-step explanation: I got a 100 on the test

The rule for a reflection across line y = -x: (x, y) → (-y, -x)

F(1, -3) → F'(3, -1)

The answer would be option B (3, –1).

What is Parallelogram?

A parallelogram defined as a special type of quadrilateral which has both pairs of opposite sides parallel and equal.

Coordinates of the vertices of a parallelogram are,

E(-3, -5), F(1, -3), H(2, -5), G(-2, -3)

Equation of a line about which this parallelogram was reflected is, y = -x

The rule for a reflection across line y = -x: (x, y) → (-y, -x)

That means when a point (x, y) is reflected across the line y = x, we find a new point (-y, -x)

By this rule new point by reflecting point F will be,

F(1, -3) → F'(3, -1)

Therefore, Option (B) will be the answer.

Learn more about parallelogram here:

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Find the value of c so that (x+1) is a factor of the polymonial p(x)=5x^4+7x^3-2x^2-3x+c

Answers

Answer:

BRAINLIEST PLZZZZ

Step-by-step explanation:

Also given that (x+1) is factor of given polynomial p(x).

Need to determine value of constant c.

We will be solving above problem using factor theorem.

Factor theorem says that if ( x – a) is a factor of any polynomial f(x) , then f(a) = 0.

As in our case f(x) = p(x) and factor of p(x) is (x + 1) , which can be rewritten as (x – ( -1)) , so "a" in our case is -1 .

According to factor theorem p(-1) = 0

On substituting x = -1 , in given expression of p(x) we get

Hence value of c in the given polynomial is 1

Answer:

c = - 3

Step-by-step explanation:

[tex] \because [/tex] (x+1) is a factor of the polymonial [tex] p(x)=5x^4+7x^3-2x^2-3x+c[/tex]

Let (x + 1) =0[tex] \implies [/tex] x = - 1

[tex] \therefore [/tex] at x = - 1, p(x) =0.

[tex]p(x)=5x^4+7x^3-2x^2-3x+c \\ \\ 0 = 5( { - 1})^{4} + 7( { - 1})^{3} - 2( { - 1})^{2} - 3( - 1) + c \\ \\ 0 = 5 \times 1 + 7( - 1) - 2 \times 1 + 3 + c \\ \\ 0 = 5 - 7 - 2 + 3 + c \\ \\ 0 = 7 - 7 + 3 + c \\ \\ 0 = 3 + c \\ \\ c = - 3[/tex]

Angles A and B are complementary. Explain how to find the measure ofAngle BifAngle A has a measure of 36°.

Answers

Answer:

54 degrees

Step-by-step explanation:

Complementary angles total 90 degrees.

So, to find B, we subtract 36 from 90.

90-36= 54

Answer:

Sample Response: Complementary angles have a sum of 90°, so the sum of the measures of angles A and B is 90°. Subtract 36° from 90° and angle B has a measure of 54°.

Step-by-step explanation:

PLEASE HELPWhich graphs display a directly proportional relationship? Check all that apply.


On a coordinate plane, a line goes through points (0, 0) and (1, negative 3).

On a coordinate plane, a line goes through points (0, 1) and (1, 2).

On a coordinate plane, a line goes through points (0, 0) and (1, 3).

On a coordinate plane, a line goes through points (0, 0) and (2, 2).

Answers

Answer:

ACD

Step-by-step explanation:

Answer:

A. C. D.

Step-by-step explanation:

How much water must be added to 1 litre of 5% cordial mixture to produce a 4% cordial mixture?

Answers

Answer:

X=1/4L OR 0.25L OR 250ml.

Step-by-step explanation:

Can someone please help me

Answers

Answer:

no

Step-by-step explanation:

preguntaste si alguien te podia ayudar y no puedo. gracias por su comprensin

Is 4x -3 =19 true false or open?

Answers

Answer:

4x-3=-12 fasle

Step-by-step explanation:

A line contains the points -1 , -4 and -6,11 what is the slope of a line that is parallel to this line

Answers

Answer: 3 I think !

Step-by-step explanation:

Use the properties of logarithms and the values below to find the logarithm indicated. Do not use a calculator to evaluate the logs. Show your work on the right using the draw tool. Log rules are included for reference at the bottom of the slide.

Answers

Answer:

02.

Step-by-step Explanation

[tex]log \frac{3}{2} \\ \\ = log \frac{3 \times 4}{2 \times 4} \\ \\ = log \frac{12}{8} \\ \\ = log 12 - log 8 \\ \\ = 1.1 - 0.9 \\ \\ = 0.2 \\ \\ \huge \red{ \boxed{log \frac{3}{2} = 0.2}}[/tex]

Answer: 0.2

Step-by-step explanation:

We have to find [tex]log \frac{3}{2}[/tex].

We are given log 12 and log 8, the farthest.

Subtract to find the number you have to multiply by.

3 x 4 = 12 and 2 x 4 = 8.

Our next fraction will be [tex]log \frac{12}{8}[/tex]

Now, subtract log 12 (1.1) by log 8 (0.9)

1.1 - 0.9 = 0.2

So, the answer to the question is 0.2

Help me please.......

Answers

Answer:

90 . this can be easily answered as all the angle of points are given in question

Step-by-step explanation:

90 degree angle

Sam's Furniture Store places the following advertisement in the local newspaper.
Write a system of equations for the three combinations of furniture. Let S represent the cost
of a sofa, let L represent the cost of a love seat, and let C represent the cost of a chair.
$1300
$1400
Soca and love
Sota and two
1300
$1600
Sota love seat
18
= 1400
= 1600
What is the price of each piece of furniture?
A sofa costs $ 166, a love seat costs $ 566 and a chair costs $ 233

Answers

Answer:

$500

Step-by-step explanation:

GivenSofa = sLove seat = lChair = cSofa and love seat cost = $1300Sofa and 2 chairs cost = $1400Sofa, love seat and one chair cost = $1600To findLove seat = ?Solution

Equations as per given are:

s + l = 1300s + 2c = 1400s + l + c = 1600

Subtract equation 1 from equation 3:

s + l + c - s - l = 1600 - 1300c = 300

Considering this in the equation 2:

s + 2*300 = 1400s = 1400 - 600s = 800

Substituting s in the equation 1:

800 + l = 1300l = 1300 - 800l = 500

Answer: Love seat costs $500

Solve for x.
X^2 – 2x +1=0
x=

Answers

Im a little confused on your question just because of the way the question if formatted

Solve v +8 < 3 or -80 <-40.

Answers

Answer: v < -5 or v < 40

Explanation:

v + 8 < 3
v < 3 - 8
v < -5
OR:
v - 80 < -40
v < -40 + 80
v < 40

Use the vertex formula to find the vertex of the quadratic function f(x) = - x2 + 2x - 6.

Answers

Answer is xF=0 hope this helps

help please ill give u brainiest if it's correct

Answers

Answer:

Supplementary

Step-by-step explanation:

Twice the sum of a number and 3.

Answers

What are we supposed to do....

Thus, the required number is 27.

Question seems to be incomplete. Here, Question could be -

"Twice the sum of a number and 3 is equal to three times the difference of the number and 9 find the number."

What is algebraic expression?

Algebraic expression consists of constant and variable. eg x, y, z etc.

Let the number be 'x'.
Now, applying condition
2(x+3) = 3(x-9)

2x+6 = 3x - 27
x = 21

Thus the required number is 21.

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find the slope of the line through each pair of points
(-3,9), (0,3)

Answers

Answer:

-2

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

    = ( 3-9)/(0- -3)

   = (3-9)/(0+3)

  = -6/3

  = -2

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