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Neko [114]
3 years ago
11

There is an equilateral triangle, ABC, inscribed in a circle with center D. What is the smallest angle you can rotate triangle A

BC around D so that the image of A is B?
Mathematics
1 answer:
zavuch27 [327]3 years ago
6 0

Answer:

correct answer is "B"...

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A right triangle has leg measures of 8 and 15 inches. What is the area and perimeter of the triangle?
rewona [7]

Hello!

<h3><em><u>Answer</u></em></h3>

The area of the right triangle is 30 in^{2}. The perimeter is 40 in.


<h3><em><u>Explanation</u></em></h3>

First, we must find the measure of the hypotenuse of the triangle by using the Pythagorean Theorem.

a^{2} + b^{2} = c^{2}

8^{2} + 15^{2} = c^{2}

64 + 225 = c^{2}

√289 = c^{2}

17 = c

Now that we have all the side lengths, we can use the formulas to find the area and perimeter.

<h3>AREA:</h3>

A = \frac{bh}{2}

A = (15 × 8) ÷ 2

A = 30

<h3>PERIMETER:</h3>

P = a + b + c

P = 8 + 15 + 17

P = 40


8 0
3 years ago
NEED HELP ASAP WILL MARK BRANLIEST!!!!!!
Blababa [14]
The heck, what math are you in?
7 0
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P(Red|Heart) when drawing one card out of deck of cards?
Sophie [7]
13/52. There are 13 red hearts in a deck of 52 cards. 
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3 years ago
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Komok [63]

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4 0
3 years ago
A 14 inch pizza (diameter is 14) was cut in to 8 pieces. What is the angle measure of each slice? *
Luda [366]

Answer:

The angle for each slice is 45 degrees.

Step-by-step explanation:

In order to calculate the angle of each slice, we first need to calculate the total area of the pizza, because we will use that to find the area of each slice and as a result it's angle. To calculate the area of the pizza we must use:

pizza area = pi*r²

r = d / 2 = 14 /2 = 7 inches

pizza area = pi*(7)² = 153.86 square inches

Since the pizza was divided in 8 pieces, the area of each piece is given by the area of the pizza divided by the number of slices. We have:

slice area = pizza area  / 8 = 153.86 / 8 =19.2325 square inches

Each slice is a circle sector, therefore it's area is given by:

slice area = (angle*pi*r²)/360

Therefore we can solve for angle:

19.2325 = (angle*pi*7²)/360

angle*pi*49 = 6923.7

angle = 6923.7 / pi*49 = 45 degrees

The angle for each slice is 45 degrees.

4 0
3 years ago
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