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3 years ago

What is the sum of a and b?

Mathematics

1 answer:

Reptile [31]3 years ago

5 0

It is 137 if I’m not wrong!

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The circumference of a circle is 30t. What is its area?

labwork [276]

Answer:

$A=\frac{225t^2}{\pi}$ given the circumference is 30t.

Step-by-step explanation:

The circumference of a circle is $C=2\pi r$ and the area of a circle is $A=\pi r^2$ assuming the radius is $r$ for the circle in question.

We are given the circumference of our circle is $2 \pi r=30t$ .

If we solve this for r we get: $r=\frac{30t}{2\pi}$ . To get this I just divided both sides by $2\pi$ since this was the thing being multiplied to $r$ .

So now the area is $A=\pi r^2=\pi (\frac{30t}{2 \pi})^2$ .

Simplifying this:

$A=\pi (\frac{30t}{2 \pi})^2$ .

30/2=15 so:

$A=\pi (\frac{15t}{\pi})^2$ .

Squaring the numerator and the denominator:

$A=\pi (\frac{(15t)^2}{(\pi)^2}$

Using law of exponents or seeing that a factor of $\pi$ cancels:

$A=\frac{(15t)^2}{\pi}$

$A=\frac{15^2t^2}{\pi}$

$A=\frac{225t^2}{\pi}$

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3 years ago

What is the first of four consecutive numbers if their sum is 810?

Pachacha [2.7K]

Let x be the first of the four consecutive numbers.

Then x+1 is the second,

and x+2 is the third,

and x+3 is the fourth.

If their sum is 810, then

x + x+1 + x+2 + x+3 = 810

If you solve that equation for x, you'll have the answer to your question.

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3 years ago

Q^2-4q-21=0 solve the equation

kobusy [5.1K]

q= 7 or q= -3

Hope i helped :)

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Answer:

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Step-by-step explanation:

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Tanya [424]

The answer is C. 68/5 - 54/5i

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