3 years ago

A circle has a ridius of 16 inches. If the radius is doubled, what is the area of the larger circle

1 answer:

7 0

Radius of larger circle = 32

Area of larger circle:

= π • r²
= 3.14 • 32²
= 3.14 • 1024
= 3,215.36

Answer : 3,215.36 in²

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Verify the identity

Thepotemich [5.8K]

Given:

Given that we need to prove the identity $\sin x+\sin x \tan ^{2} x=\tan x \sec x$

Proof:

Step 1: Factor out the common term sin x, we get;

$\sin x\left(1+\tan ^{2} x\right)=tan \ x \ sec \ x$

Step 2: Using the identity $1+tan^2 x=sec^2x$

$\sin x \sec ^{2} x=tan \ x \ sec \ x$

Step 3: Reciprocating sec x, we get;

$\sin x \cdot \frac{1}{\cos ^{2} x}=tan \ x \ sec \ x$

Step 4: Splitting the denominator, we have;

$\frac{\sin x}{\cos x} \cdot \frac{1}{\cos x}=tan \ x \ sec \ x$

Simplifying, we get;

$\tan x \sec x=\tan x \sec x$

Thus, the identity is proved.

5 0

3 years ago

in a wood there are 420 silver birch trees, 160 oak tees and 300 wild cherry trees. what is the percentage of the oak trees give

elena-14-01-66 [18.8K]

Answer:

18.2%

Step-by-step explanation:

The total number of trees in the wood = 420 + 160 + 300

= 880 trees

∴ The percentage of the oak trees = $\frac{160}{880} * \frac{100}{1}$

= $\frac{2 * 100}{11}$ %

= $\frac{200}{11}$ %

= 18.181818...%

In 1 decimal place = 18.2%

Hope this helps!!

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3 years ago

1. Solve the shape equation puzzle: = 8 = = 15

Vesnalui [34]

Star = 5
square =3
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3 years ago

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