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klasskru [66]
3 years ago
5

What is the distance between the walls? Please explain how you figured it out!

Mathematics
2 answers:
natulia [17]3 years ago
8 0

check the picture below.

the distance thus is a + b.

Vika [28.1K]3 years ago
7 0

Hello!

To solve this, we need to use some trigonometry. We will want to find the length of the bottom. To do so we will need to find those two sides.

First of all, let's find the base of the left triangle. Let's find the tangent of 45.

tan45=1

Therefore, 30/x=1. Just from this, we can see that the base of this triangle is 30.

Now for the other one. Here we have the hypotenuse. As we are looking for the adjacent side, we can use the cosine.

cos60=0.5

This gives us the equation x/80=0.5

From here, we can see that x=40.

Now we add our lengths.

30+40=70

Therefore, the length between the walls is 70 meters.

I hope this helps!

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Find the radius of the circle whose equation is x^2 + y^2 = 4.
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Answer:

Radius of the given circle is r = 2.

Step-by-step explanation:

Given equation of the circle is x^2 + y^2 = 4.

Now we need to find the radius of the given circle x^2 + y^2 = 4.

To find that let's compare with the formula of the circle with is x^2 + y^2 = r^2, where r is the radius.

We get r^2 = 4

take square root of both sides.

r=2

Hence radius of the given circle is r = 2.

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The edges of a cube are 5 centimeters each and the diagonal of a face is approximately 7 centimeters. What is the approximate ar
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2 years ago
One factor of the polynomial 2x^3 - 3x^2 - 3x + 2 is ( x - 2 ). Which expression represents the other factor, or factors, of the
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Answer:

Option (D)

Step-by-step explanation:

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2x³ - 3x² - 3x + 2

If (x - 2) is the factor of the given polynomial,

By synthetic division we can get the other factor.

2 |  2     -3       -3       2    

 

    <u>         4         2      -2          </u>

     2      1         -1        0

Therefore, other factor of the given polynomial is (2x² + x - 1)

Now (2x² + x - 1) = 2x² + 2x - x - 1

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Therefore, factors of the given polynomial other than (x - 2) are (2x - 1) and (x + 1)

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