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postnew [5]
1 year ago
13

Find the length of a shadow cast by a building that is 610ft tall round to the tenths

Mathematics
1 answer:
galina1969 [7]1 year ago
3 0

This problem is about triangles.

We must apply the trigonmetric relations to solve this.

I can see we have a right angle triangle.

Let's use the idea of the tangent.

tan (22º) = building height / shadow length

Let's plug given data on above formula:

tan(22º) = 610 ft / shadow length

I looked up and got tan(22º) = 0.40, so:

0.40 = 610 ft / shadow length

shadow length = 610 ft / 0.40

shadow length = 1,525 ft

Answer: shadow length is 1,525 ft .

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Find the dimensions of a rectangle, length 7m less than three times the width and the area of the rectangle is 66m^2.
zhuklara [117]

  We know: length of a rectangle is 7m less than three times the width.

So let's set the length to l, width to w.

And we can get that l = 3w-7.

We also know that the area of the rectangle is 66 m^2.

Thus, l*w= 66.

So we have:

function 1: l=3w-7

function 2: l*w=66

plug function 1 to 2.

(3w-7)*w=66

3w^2-7w-66=0

w=6 and -11/3.

And the width of a rectangle can not be negative.

So: w=6.

Plug w=6 back to function 1 or 2, either way is correct and can give you the length. In this case, I will plug it back to function 1.

l=3*6-7=11.

So: the width of the rectangle is 6, and the length of the rectangle is 11.


5 0
4 years ago
-1=3(w+14)-7 equation
tankabanditka [31]
<span>-1=3(w+14)-7
Use distributive property
-1=3w+42-7
Subtract 7 from 42
-1=3w+35
Subtract 35 from both sides
-36=3w
Divide 3 on both sides
Final Answer: -12=w</span>
7 0
3 years ago
Read 2 more answers
What is the amount of the discount
djverab [1.8K]
The answer is $3.74



Hope this helps
6 0
4 years ago
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The triangle shown is a right triangle. Create the equation to be used to find the missing lengths. Do not solve the equation.
lesantik [10]
I hope this helps you


3^2+3^2=y^2


2.3^2=y^2


y= 3 square root of 2
7 0
4 years ago
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5x + 7 / 2 = 3x / 2 - 14 help me fast​
a_sh-v [17]

Answer:

X= -5

Step-by-step explanation:

do you need steps?

5x +7/2 = 3x/2 -14

10x+7/2 = 3x-28/2

2(10x+7) = 2(3x-28)

20x +14 = 6x - 56

20x -6x = -56 - (14)

14x = -70

x = -70/14

x = -5

7 0
3 years ago
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