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2 years ago

What are the measures of Angles a, b, and c? Show your work and explain your answers.

Mathematics

1 answer:

jolli1 [7]2 years ago

5 0

Answer: a = 40, b = 50, c = 115

Solution:
a = 40 (the vertical angles are equal)

b = 180 - 40 - a = 50 (the sum of interior angles of triangle is 180)

c = 180 - 65 = 115 (the linear theorem)

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A circle with center at (12,−1) passes through (0,−1). Find the circumference and area of the circle in terms of p.

madreJ [45]

Answer:

C = 75.36

A = 452.16

Step-by-step explanation:

Find the radius r by finding the distance between (12,-1) and (0,-1) using the distance formula.

$d = \sqrt{(12-0)^2 + (-1--1)^2} =\sqrt{(12)^2 + (0^2} =\sqrt{144+0} =\sqrt{144}=12$

The radius is 12.

So the circumference of the circle is $C = 2\pi r = 2\pi 12 = 24\pi = 75.36$

So the area of the circle is $A = \pi r^2\\A = \pi 12^2\\A = 144\pi\\A = 452.16$

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3 years ago

What is the laterral surface area?

ch4aika [34]

Answer:

In other words, the surface area is the sum of all the areas of all the shapes that cover the surface of the object. On the other hand, the lateral surface area refers to the area of the sides of a shape , excluding its base and top area.

Step-by-step explanation:

6 0

3 years ago

Simplify 9(30 - 2).<br> 252<br> 288<br> 272<br> 268

Lapatulllka [165]

28
x 9
___
72
+180
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252

The answer is 252
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8 0

3 years ago

Which of the following is equal to the expression listed below?

olya-2409 [2.1K]

Answer:

27 + 36 = 63

A. (9 + 3)(9 + 4) = 12 × 13 = 156

B. 9(3 + 4) = 9 × 7 = 63

C. 9 + (3 × 4) = 9 + 12 = 21

D. (9 × 3)(9 × 4) = 27 + 36 = 63

Option B and D

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3 years ago

Write an equivalent expression for 8(3x+2)

Pavel [41]

24x + 16

or

2 (12x) + 16

3 0

3 years ago

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