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2 years ago

Find the area of the given figure and please put all the steps you made as well

Mathematics

1 answer:

mylen [45]2 years ago

3 0

Answer:

B. 196.5

Step-by-step explanation:

First lets fine the semi circle's area.

The area of an circle is πr², so in order to find half of a circle, simply divide the answer by 2.

The diameter of the circle is 16, and the radius is half of 16, and which the radius will be 8. Now simply plug in 8 into the formula, and substitute π with 3.14

(3.14)(8)²=200.96 and half of that is 100.48

The area of the semi-circle is 100.48, and now it's time to find the area of the triangle.

The formula for area of an triangle is A=1/2bh

We can see that the base is 16 and height is 12, and now plug it in.

A=1/2(16)(12)= 96.

The area of the triangle is 96 and the area of the semi-circle is 100.48, when they are added, it is 196.48. When it is rounded, the answer is 196.5. And so the answer is B.

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Write the equation of a circle with center upper c left-parenthesis 4 comma negative 5 right-parenthesis that passes through upp

Tcecarenko [31]

The square of the distance between C(4, -5) and P(1, -2) is given by the Pythagorean theorem as
(4-1)² +(-5-(-2))² = 18
This is the square of the radius of the circle, so we can use it for r² in the formula
(x -h)² +(y -k)² = r² . . . . . . . circle of radius r and center (h, k)

Your circle has equation ...
(x -4)² +(y +5)² = 18

4 0

2 years ago

Jermanie earned $2000 during the summer. He plans to put the money in a savings account and leave it for 40 years. The account w

Sphinxa [80]

Answer:

9,200$ is what he would have after the 40 years

Step-by-step explanation:

9% of 2,000$ is 180$

take the 180$ and multiply it by 40 (40 is the years)

and you get 9,200$

8 0

3 years ago

Find two numbers whose sum is 36 and whose defference is 10.

Vika [28.1K]

Answer:

The two numbers would be 28 and 8.

8 0

2 years ago

Can someone please explain to me the difference between SAS and SSS in Geometry when dealing with triangle proofs?

ANTONII [103]

Hello from MrBillDoesMath!

Answer: SAS = side - angle -side congruence

SSS = side - side - side congruence

Discussion :

In Plane Geometry, identical triangles are said to be "congruent". There are several ways, depending upon the information you have, to prove 2 triangles are congruent.

In one approach ("SSS") if you can show that 2 triangles have identical side lengths, then the triangles are congruent. (A triangle has 3 sides, hence "SSS" -- 3 S's; 3 sides, get it?)

In another approach ("SAS") if you can show that 2 sides, and the angle included between those sides, in one triangle are identical to the sides and included angle in another triangle, then the triangles are congruent

It's easier to understand this with a picture or diagram than in words. Please review the SSS, SAS picture in your textbook

Regards, MrB

7 0

3 years ago

What is the lcd of 8/15 11/30 and 3/5

pogonyaev

Answer:

LCD(8/ 15 , 11/ 30 , 3/ 5 ) = LCM(15, 30, 5) = 2×3×5 = 30

Step-by-step explanation:

7 0

2 years ago