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Sindrei [870]
3 years ago
14

Help please with explanations

Mathematics
2 answers:
Sav [38]3 years ago
6 0

Answer:

option a 2

Step-by-step explanation:

Correct option is A)

Given AE=5cm

Perimeter of triangleABC=AB+BC+CA

=AE−BE+AD−CD+BF+CF

As it is seen from the figure

CD=CF,BE=BF (properties of tangent of circles)

=AE+AD (as AE=AD)

=5+5=10cm

please mark me as brainlist

saveliy_v [14]3 years ago
5 0

The length of the segment AC is 4√3, so the correct option is E.

<h3>How to get the length of AC?</h3>

In the image, you can see a right triangle.

We do know that AB = 8 units, and BC is equal to the radius of the circle.

We also know that the area of the circle is 16pi, and the area of a circle of radius R is:

A = pi*R^2

Replacing our area, we get:

16pi = pi*R^2

16 = R^2

√16 = R = 4.

So the radius of the circle is 4, which means that BC = 4.

Now we can use the Pythagorean theorem, that says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, this can be written as:

AB^2 = BC^2 + AC^2

8^2 = 4^2 + AC^2

64 - 16 = AC^2

√48 = AC

√(3*16) = AC

4√3 = AC

So the correct option is E.

If you want to learn more about right triangles, you can read:

brainly.com/question/2217700

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Step-by-step explanation:

Given : At the beginning of the year, the ratio of juniors to seniors in high school X was 3 to 4.

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Since , during the year, 10 juniors and twice as many seniors transferred to another high school, while no new students joined high school X.

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