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2 years ago

What is the circumference of the circle? Show steps please!

Mathematics

1 answer:

Marina CMI [18]2 years ago

5 0

Area = r^2 x PI

to find r take the square root of the area:

r = √100 = 10

The circumference of a circle is the diameter times PI.

The diameter is 2 times r = 2 x 10 = 20

The circumference = 20PI m

The answer is C.

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What is the measure of the vertex angle of an isosceles

pshichka [43]

Answer:

A) 96

Step-by-step explanation:

The 2 base angles are both 42* thus adding up to 84*. 180-84=96

You are welcome.

3 0

2 years ago

Prove : sin²θ + cos²θ = 1 thankyou ~

Gnom [1K]

Answer:

See below

Step-by-step explanation:

Here we need to prove that ,

$\sf\longrightarrow sin^2\theta + cos^2\theta = 1$

Imagine a right angled triangle with one of its acute angle as $\theta$ .

The side opposite to this angle will be perpendicular .
Also we know that ,

$\sf\longrightarrow sin\theta =\dfrac{p}{h} \\$

$\sf\longrightarrow cos\theta =\dfrac{b}{h}$

And by Pythagoras theorem ,

$\sf\longrightarrow h^2 = p^2+b^2 \dots (i)$

Where the symbols have their usual meaning.

Now , taking LHS ,

$\sf\longrightarrow sin^2\theta +cos^2\theta$

Substituting the respective values,

$\sf\longrightarrow \bigg(\dfrac{p}{h}\bigg)^2+\bigg(\dfrac{b}{h}\bigg)^2\\$

$\sf\longrightarrow \dfrac{p^2}{h^2}+\dfrac{b^2}{h^2}\\$

$\sf\longrightarrow \dfrac{p^2+b^2}{h^2}$

From equation (i) ,

$\sf\longrightarrow\cancel{ \dfrac{h^2}{h^2}}\\$

$\sf\longrightarrow \bf 1 = RHS$

Since LHS = RHS ,

Hence Proved !

I hope this helps.

5 0

1 year ago

A rectangle is drawn so that the width is 5 feet shorter than the length. the area of the rectangle is 36 square feet. find the

velikii [3]

w x L = 36

w = L- 5

L x ( L-5 ) = 36

L^2 -5L -36 =0

Use the quadratic formula

L= - b + radical b^2 - 4 (a)(c) divided 2.a

L= 5 + 13 / 2 = 18 /2 =9

5 0

2 years ago

Which answer is the most reasonable estimation? Lance is organizing his baseball card collection into albums. Each album can hol

RSB [31]

Hello there.

Which answer is the most reasonable estimation? Lance is organizing his baseball card collection into albums. Each album can hold up to 50 cards. He has 202 cards in his collection. About how many albums will Lance need? A. about 5 B. about 10 C. about 50 D. about 150

Answer: A) 5

8 0

2 years ago

Read 2 more answers

Yeah i have no clue how to do this and there's two of them soo help is very much appreciated lol

cluponka [151]

Answer:

2^x - 4 is the answer here

5 0

2 years ago