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Gelneren [198K]
2 years ago
13

Makayla leans a 18-foot ladder against a wall so that it forms an angle of 64 degrees with the ground. What’s the horizontal dis

tance between the base of the ladder and the wall? Round your answer to the nearest tenth of a foot if necessary.
Please help me, I don’t understand the problem!
Mathematics
1 answer:
aleksandr82 [10.1K]2 years ago
8 0

The ladder and the outside wall form a right triangle

The distance from the base of the ladder is 7.89 feet

<h3>How to determine the distance to the base of the ladder?</h3>

The given parameters are:

Length (L) = 18 feet

Angle of elevation (θ) = 64 degrees

The distance (D) from the base of the ladder is calculated using the following cosine ratio

cos(θ) = D/L

So, we have:

cos(64) = D/18

Make L the subject

D = 18 * cos(64)

Evaluate the product

D = 7.89

Hence, the distance from the base of the ladder is 7.89 feet

Read more about right triangles at:

brainly.com/question/2437195

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You have two circular flower beds, as shown. The sum of the areas of two flower beds is 136 pi square feet. Find the radius of e
finlep [7]

Answer:

Radius of larger flower bed = 10 feet

Radius of smaller flower bed = 6 feet

Step-by-step explanation:

<u>Complete question:</u>

"You have two circular flower beds, as shown. The sum of the areas of two flower beds is 136 pi square feet. Find the radius of each bed.<em>"</em>

<em>Radius of larger flower bed = r</em>

<em>Radius of smaller flower bed = r - 4</em>

<em />

Now,

Area of circle is  \pi r^2

Since, total area is 136\pi, we can write:

\pi r^2 + \pi (r-4)^2=136\pi

Expanding and solving for r:

\pi r^2 + \pi (r-4)^2=136\pi\\r^2+(r-4)^2=136\\r^2 + r^2 - 8r + 16 = 136\\2r^2-8r-120=0\\2(r+6)(r-10)=0\\r=-6,10

Radius cannot be negative, so r = 10  &  r-4 = 10 -4 = 6

Radius of larger flower bed = 10 feet

Radius of smaller flower bed = 6 feet

8 0
3 years ago
2(3x+5)=7x-4<br> ?<br> 10=x-4<br> 14=x
andriy [413]

Answer:

×=14

Step-by-step explanation:

2(3×+5)=7×-4

6×+10=7×-4

7×-6×=10-(-4)

×=14

6 0
3 years ago
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