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Evgen [1.6K]
3 years ago
9

Help with this one can’t figure it out

Mathematics
1 answer:
NeX [460]3 years ago
3 0
To solve the problem shown in the figure attached, you must apply the proccedure shown below:

 1. You have that the equation for calculate the area of a circle is:

 A=πr²

 2. You have that the formula for calculate the diameter of a circle is:

 d=2r

 Therefore, the radius is r=d/2

 where r is the radius of the circle

 3. Keeping the information above on mind, you have the correct sequence of the equations by clearing the diameter d, is shown below:

 A=π(d/2)²
 A=πd²/4
 4A=πd²
 d²=4A/π
 d√(4A/π)

 Therefore, as you can see, the answer is:

 A=π(d/2)²
 A=πd²/4
 4A=πd²
 d²=4A/π
 d√(4A/π) 
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Gas prices are up 30% since last year when they were $4.35, how much is gas now?
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The quotient of a number and -7 decreased by 2, is 10.
klasskru [66]
Hello!

This expression can be broken down into 3 separate parts:

1. "the quotient of a number and (-7)"
2. "decreased by 2"
3. "is 10"

We'll begin with the first part. The word "quotient" implies the result of a division problem. Therefore, this part can be represented by the following expression (let "x" represent the unknown number):

\frac{x}{(-7)}

Now we'll move on to the second part. If something is decreased by a value of 2, we know that 2 is being subtracted. Therefore, this part can be represented by the following expression:

– 2

Now we'll move on to the third and final part. The phrase "is 10" implies that the operations preceding this part are equal to 10. Therefore, this part can be represented by the following expression:

= 10

Finally, put the three parts together to create the following equation:

\frac{x}{(-7)} – 2 = 10

The equation has now been fully translated. If, however, you are required to find the unknown value (x), begin by adding 2 to both sides of the equation:

\frac{x}{(-7)} = 12

Now multiply both sides by (-7):

x = (-84)

We have now proven that the unknown number is equal to (-84).

I hope this helps!
3 0
2 years ago
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