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GREYUIT [131]
3 years ago
9

Nick cut a circular cookie into 5 equal slices. what is the angle measure of each slice?

Mathematics
1 answer:
NemiM [27]3 years ago
5 0

Answer:

72°

Step-by-step explanation:

The cookie has a shape of a circle. A circle is the locus of a point such that its distance from a point (center) is always the same. The sum of angles around the circle center is 360°.

Let x be the measure of the angle in each slice. Therefore the sum of the total 5 slice is:

x + x + x + x + x  = 360

5x = 360

Dividing through by 5:

5x / 5 = 360 / 5

x = 72°

Each slice has an angle measure of 72°

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You start by cross multiplying:
9 x 8 = 72
This is considered the fraction on the left's value.
You do the same for the other side:
10 x 7 = 70
This is considered the value of the fraction 7/8
72 has a greater value than 70.

Therefore, 9/10 is larger.
4 0
3 years ago
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Find the quotient and express it in the simplest form
pychu [463]
2i(4+5i)(4-5i) =82i
4+i nothing more can be done it is at simplest form 

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5 0
3 years ago
You order fourteen burritos to go from a Mexican restaurant, six with hot peppers and eight without. However, the restaurant for
Genrish500 [490]

Answer:

0.578

Step-by-step explanation:

If you pick three burritos at random, find the probability of the given event. (Round your answer to three decimal places.)

Given that there are 14 orders at the ratio by of:

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8 without hot peppers

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P(0<= x <=2) = 1 - P(x = 3)

= 1 - (6/8)^3

= 1 - ( 3/4 )^3

= 1 - ( 27/64 )^3

= 1- (37/64)

= 1 - 0.421875

= 0.578125

= 0.578

6 0
3 years ago
The population of a certain animal species you are studying decreases at a rate of 3.5% per year. Only 80 of the animals in the
balu736 [363]
The function:
f ( x ) = x * 0.965^t
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80 = x  *  0.89632
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Answer:
The initial amount of animals was 89.
3 0
3 years ago
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