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Nonamiya [84]
3 years ago
7

Ileana buys a large circular pizza that is divided into eight equal slices. She measures along the outer edge of the crust from

one piece and finds it to be 512 inches. What is the diameter of the pizza to the nearest inch? A.4 in. B.7 in. C.8 in. D.14 in.
Mathematics
1 answer:
goldenfox [79]3 years ago
8 0

Answer:

14 inches

Step-by-step explanation:

She measures along the outer edge of the crust from one piece and finds it to be 5.5 inches.

We need to find the diameter of the pizza. A pizza is divided into 8 equal parts.

The circumference of one part = \dfrac{2\pi r}{8}=\dfrac{\pi r}{4}

So,

\dfrac{\pi r}{4}=5.5\\\\2r=D=14\ inch

So, the diameter of the pizza is 14 inches.

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Answer:

Four eighth notes

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Step-by-step explanation:

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8 0
3 years ago
Find the exact values of x and r
NemiM [27]

Answer:

Below

Step-by-step explanation:

You can use sine law to solve this : sina / A = sinb / B

We will first find side x

We know that since this is a special triangle that side will = 28, but we can prove this mathematically :

sin(45) / 28 = sin(45) / x

= 28 sin(45) / sin(45)

x = 28

Now to find side r just use Pythagorean theorem a^2 + b^2 = c^2 :

c^2 = 28^2 + 28^2

      = 1568

Square root this number

r = 39.597

The just round to however your teacher wants

If you didn't already know about special triangles, an isosceles right triangle like this one has a ratio which is the two legs will equal each other, while the hypotenuse is √2a . You could have also used this to solve.

Hope this helps! Best of luck.  

3 0
3 years ago
There are 28 marbles in the box. There are 12 red marbles, 10 blue marbles, and 6 yellow marbles. What percent of the marbles ar
Ronch [10]

Answer:

There are 28 marbles in the box. Some are red (12), others are yellow (6) and others are blue (10).

If in this box there 28 marbles and 6 of them are yellow, we substract to get the quantity of marbles that aren't yellow: 28-6 = 22

So 22 of the 28 marbles aren't yellow: 22/28, which we can simplify dividing the numerator and denominator by 2: 11/14

8 0
3 years ago
Total power generated by wind worldwide doubles every 3 years. In a particular year, the world wind-generating capacity was abou
IceJOKER [234]
<span>You are given the sum of the power created by wind worldwide which doubles every 3 years. In one an unknown year, the world wind generating capacity was about 91 thousand megawatts. You are asked for the growth rate. the growth rate formula is given below:

growth rate = (present / past)^(1/n)
2 = (present/91MW)^(1/3)
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7 0
3 years ago
Two angles are complementary. One angle is ten less than four times the other angle. Find the measure of the larger angle
Nimfa-mama [501]

Answer:

B.70

Step-by-step explanation:

For one or two angles are complementary angle(s), they have to equal 90°.

So, we need to find the larger angle, but what about the other?

Let x be the other angle and y be the angle we are looking for

x + y = 90

Lets look for x first, since one angle is ten less than four times the angle we are looking for or visa versa, we must:

y = 4x - 10

For an exchange, lets take out the y variable for another x variable:

So now we should have x + 4x - 10 = 90

Combine like terms and do cross equation :

x + 4x -10 = 90

5x - 10 = 90

Add 10 to both sides:

5x = 100

100/5 = 20

So <u><em>x=20</em></u>

<u><em></em></u>

Now for y which is what we are looking for,

y = 4x - 10

Since x is 20, plug it in

y = 80 - 10

y=70 is our larger angle

5 0
3 years ago
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