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gayaneshka [121]
1 year ago
11

Find the area of the circle. Round your answer to two decimal places, if necessary.

Mathematics
1 answer:
jekas [21]1 year ago
3 0

Answer:

A≈50.27

Step-by-step explanation:

The formula for an Area of a circle is: A=πr(squared)

As was can the the diametter is 4, and the radius is half of the diameter, making the radius half of 4 whitch is 2. now just plug in two for R.

A= π4(squared)

4(squared) = 16

A= 16π

A= 50.27

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What is an equation of the line that passes through the points (4, -1) and
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y= x/2-3

Step-by-step explanation:

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3 years ago
Pleasantburg has a population growth model of P(t)=at2+bt+P0 where P0 is the initial population. Suppose that the future populat
yulyashka [42]

Answer:

The population will reach 34,200 in February of 2146.

Step-by-step explanation:

Population in t years after 2012 is given by:

P(t) = 0.8t^{2} + 6t + 19000

In what month and year will the population reach 34,200?

We have to find t for which P(t) = 34200. So

P(t) = 0.8t^{2} + 6t + 19000

0.8t^{2} + 6t + 19000 = 34200

0.8t^{2} + 6t - 15200 = 0

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

0.8t^{2} + 6t - 15200 = 0

So a = 0.8, b = 6, c = -15200

Then

\bigtriangleup = 6^{2} - 4*0.8*(-15100) = 48356

t_{1} = \frac{-6 + \sqrt{48356}}{2*0.8} = 134.14

t_{2} = \frac{-6 - \sqrt{48356}}{2*0.8} = -141.64

We only take the positive value.

134 years after 2012.

.14 of an year is 0.14*365 = 51.1. The 51st day of a year happens in February.

So the population will reach 34,200 in February of 2146.

6 0
2 years ago
It takes 12 apples to make 2 cups of apple sauce. If 72 apples are used, what is the greatest number of cups of apple sauce that
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Answer:

12

Step-by-step explanation:

If 12 apples makes 2 cups, we can assume that 6 apples make 1 cup.

Take the number of apples and divide it by 6 in order to find out the number of cups that can be made.

3 0
3 years ago
Solve for x and y.
Rus_ich [418]

y is 8\sqrt{3}. This is because in a 30-60-90 triangle, the side facing the 30° is always half of the side facing the 90°


x is always √3 times y, so x=24. Therefore, the answer is the second answer choice.


5 0
3 years ago
Read 2 more answers
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