HELPMEEEEEEEEEEEEE

There would be 13 integers to choose from right?

So it would be 13 C 4= 715

If the perimeter of the rectangle is 56, that means that the length + the width equals 28. Since the ratio of the sides is 4:3, we can find that the length is 16 and the width is 12. From there we use Pythagorean thereom to find the length of the diagonal. 12^2+16^2= 400= 20^2. So the length of tge diagonal of the rectangle is 20 meters.

Hope it helps!

The neat thing about this process is that you will always get -30 as your answer.

a. If you have a number x, then you do all the steps, you'll get:

x

x-10

6(x-10)

(6(x-10)/2

(6(x-10)/2-3x...this would be an unsimplified rule.

b. To prove that all numbers make the final result -30, we simplify the rule...

x

x-10

6(x-10)= 6x-60

(6(x-10)/2= 3x-30

(6(x-10)/2-3x= 3x-30-3x= -30

This proves that all inputs would create the same -30 output.

*I'm not sure if this fits your problems induction and deductive reasoning requirments, but I hope it gives you an idea on how to do so.

Hope it helps!

Thanks!

I understand that you can do that but if you want an EXACT answer, then pi/4 would be the answer required.

I've already explained how to do this question when you asked it in exactly the same way earlier. If you still need help, you might want to see what's missing from the question.

Thanks!

If 80% of the 35 boys have been members for more than 2 years, that means that there are 35 * .8= 28 boys. If 25% of the 28 girls have been members for more then 2 years, that means that there are 28 * .25= 7 girls. So 28+7= 35 kids out of the 35+28= 63 kids have been members for more than 2 years. 35/63= 55 5/9%.

Hope it helps!

You are missing some information. The arc length requires at least a number to start calculations. The diagrams lacks numbers, but the arc length in the diagram is the radius of the semicircle multiplied by pi. 

Hope it helps!

I assume you mean "Pi" the mathematical term. Since pi is irrational, one-fourth pi is simply \(pi \over 4\). 

Pi is 3.1415926535...so on and so forth never repeating so you cannot divide by four and get a simple answer.

Hope this helps!