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LUCKY_DIMON [66]
3 years ago
15

A circle has an area of 78.5 square inches. What is the radius of the circle?

Mathematics
1 answer:
Rainbow [258]3 years ago
6 0

Answer:

\sqrt{24.98732606  Decimal Form:

4.99873244

Step-by-step explanation:

geometry is the worst. but i have a way to remember how to find the area. (Apple Pies are too --> A=πr^2 --> area = pie×radius^squared) so basically you sub in 78.5 in for area and then you solve for r.

Hope i helped kinda lol

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Jerritt wants to buy a car but it costs
o-na [289]

Answer:

47 weeks

Step-by-step explanation:

you multiply 20 times 5 because he makes 5 dollars and hour and works 20 hours a week, so then you get 100. so he makes 100 dollars in a week. then you divide 100 by 4650 and get 46.5 which rounded up is 47. so he needs to work 47 weeks.

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Verify by substitution whetherthe given functions are solutions of the given DE. Primes denote derivatives with respect to x.y!!
julia-pushkina [17]

Complete Question

The complete question is shown on the first uploaded

Answer:

y_1 is not a solution of the differential equation

 y_2 is not a solution of the differential equation

y_3 is not a solution of the differential equation

Step-by-step explanation:

The differential equation given is y'' + y' = cos2x

Let consider the first equation to substitute

y_1  = cosx  +sinx

y_1'  = -sinx  +cosx

y_1''  = -cosx -sinx

So

y_1'' - y_1'  = -cosx -sinx -sinx  +cosx

y_1'' + y_1'  = -2sinx

So

-2sinx \ne  cos2x

This means that y_1 is not a solution of the differential equation

Let consider the second equation to substitute

y_2 =  cos2x

y_2' =  -2sin2x

y_2'' =  -4cos2x

So

y_2'' + y_2'  = -4cos2x-2sin2x

So

-4cos2x-2sin2x \ne  cos2x

This means that y_2 is not a solution of the differential equation

Let consider the third equation to substitute

y_3 =  sin 2x

   y_3' =  2cos 2x

    y_3'' =  -4sin2x

So

y_3'' + y_3'  = -4sin2x  - 2cos2x

So

-4sin2x  - 2cos2x \ne  cos2x

This means  that  y_3 is not a solution of the differential equation

6 0
3 years ago
evelyn has $638.54 in her checking account. she must maintain a $500 balance to avoid a fee. she wrote a check for $159.50 today
Pachacha [2.7K]

The inequality is:

x + $488.04 ≥ $500

And the solution is

x ≥ $11.96

<h3>How to write and solve the inequality?</h3>

First, let's define x as the amount that she needs to deposit.

Now, we know that at the moment Evely has $638.54 in her bank account. Then she pays for $638.54, then she writes a check for $159.50, then we need to subtract that:

$638.54 - $159.50 = $488.04

Now she needs to deposit an amount x, such that her balance is at least $500, then we can write the inequality:

x + $488.04 ≥ $500

Solving that for x, we get:

x ≥ $500 - $488.04 = $11.96

She needs to deposit at least $11.96.

If you want to learn more about inequalities:

brainly.com/question/24372553

#SPJ1

4 0
2 years ago
Gotta estimate them, anyone know​
Mariulka [41]

Answer:

22

Step-by-step explanation:

THE answer to 22 is 30 1/8

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