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Shalnov [3]
2 years ago
12

Consider the following figure.

Mathematics
1 answer:
Karolina [17]2 years ago
4 0

Answer:

BD = 16

Step-by-step explanation:

By applying mean proportional theorem in the given right triangles,

\frac{AD}{BD}=\frac{BD}{CD}

AD × CD = BD²

8 × 32 = BD²

BD = √256

BD = 16

Therefore, measure of side BD = 16 units.

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At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. T
elixir [45]

Answer:

\text{Exact area of the sidewalk}=40 \pi\text{ m}^2

\text{Approximate area of the sidewalk}=125.6\text{ m}^2

Step-by-step explanation:

We have been given that at a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. The inner edge of the sidewalk is a circle with a radius of 9 m.

To find the area of the side walk we will subtract the area of inner edge of the side walk of lion pen from the area of the outer edge of the lion pen.

\text{Area of circle}=\pi r^2, where r represents radius of the circle.

\text{Exact area of the sidewalk}=\pi*\text{(11 m)}^2-\pi*\text{(9 m)}^2

\text{Exact area of the sidewalk}=\pi*\text{121 m}^2-\pi*\text{81 m}^2

\text{Exact area of the sidewalk}=40 \pi\text{ m}^2

Therefore, the exact area of the side walk is 40 \pi\text{ m}^2

To find the approximate area of side walk let us substitute pi equals 3.14.

\text{Approximate area of the sidewalk}=40*3.14\text{ m}^2

\text{Approximate area of the sidewalk}=125.6\text{ m}^2

Therefore, the approximate area of the side walk is 125.6\text{ m}^2.

5 0
3 years ago
For every $3.00 the 5th grade raise, the 6th grade raises $5.00. If the 5th grades raises $36.00, how much does the 6th grade ra
frutty [35]
The sixth graders raised $60
7 0
2 years ago
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Solve 3x+4+7x+8+7x3+7x3
kodGreya [7K]
The answer is ERROR i tried it by hand and by calculator and both answers ended up as ERROR 
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3 years ago
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6.<br> Simplify the expression.<br> (-3)-4
Leto [7]

Answer:

-7

Step-by-step explanation:

  1. Re-write: -3 - 4
  2. -3 - 4 = -7

I hope this helps!

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What is the slope intercept form of the linear equation that passes through the point (0, 9) and has a slope of -6?
STALIN [3.7K]

Answer:

y - 9 = -6( x - 0)

y - 9 = -6x + 0

y = -6x + 9

Step-by-step explanation:

7 0
3 years ago
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