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3 years ago

Find the perimeter of this quarter circle with radius,

Mathematics

1 answer:

Inga [223]3 years ago

6 0

Answer:

Step-by-step explanation:

First find the circumference of the circle

C = 2 * pi*r

C = 2 * pi *2

C = 4pi

A quarter circle is 1/4 of a circle

1/4 C = 1/4 (4pi)

1/4C = pi

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Given PA=13 in. and CB=15 in.<br><br> What is CA ?

alexandr1967 [171]

Triangles CPA and CPB are both right triangles. They share a leg, so that leg in one triangle is congruent to that leg in the other triangle. We are given that PA is congruent to PB by the hash marks on the diagram. Thus two legs and an included angle are congruent between the triangles.

... ∆CPA ≅ ∆CPB by the SAS postulate

Then side CA ≅ CB = 15 in, because corresponding parts of congruent triangles are congruent (CPCTC).

... CA is 15 in.

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2 years ago

Read 2 more answers

What is the vertex of the graph of the function below? <br><br>y = x2 + 8x + 12

Vera_Pavlovna [14]

Hello,

$The\,\,formula\,\,for\,\,the\,\,vertex\,\,of\,\,a\,\,quadratic\,\,equation\,\,is: \\ V=( -\frac{b}{2a},f(-\frac{b}{2a}) )$

That means that we must first obtain x, then we replace x in the function to get y, so:

$x=- \frac{b}{2a} \\ \\ x=- \frac{8}{2*(1)} \\ \\ \boxed{x=-4} \\ \\ Reeplacing \,\,x: \\ y=(-4)^{2} +8*(-4)+12 \\ y=16-32+12 \\ \boxed{y=-4}$

Answer: V=(-4 , -4)

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2 years ago

What to do from here? (Please don't solve)

Tems11 [23]

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3 years ago

Michael can type 4 pages of his term paper in 30 minutes. How long will it take him to type the paper if it has 14 pages?

Stella [2.4K]

Answer:

105 minutes

Step-by-step explanation:

we know that

Michael can type 4 pages of his term paper in 30 minutes

using proportion

Find out how long will it take him to type the paper if it has 14 pages

$\frac{30}{4}\frac{min}{pages}=\frac{x}{14}\frac{min}{pages}\\\\x=30*14/4\\ \\x=105\ min$

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3 years ago

there is a group of 4 people ordering pizza. each person gets 6 slices and there are 8 slices in each. how many pizzas should th

labwork [276]

They should get 3 pizzas.

4*6=24

24/8=3

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3 years ago