catmg

Hello Guest!

Thank you for answering. :)))

But, it helps to reply to the question instead of posting a new one.

It just keeps everything a bit more organized. 

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The denominator is at the bottom of the fraction. 

In 1/2, the 2 is a demoniator since it's at the bottom. 

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The question asks for 7 percent of 43.99. 

7% = .07

Can you do .07*43.99?

I hope this helped. :))

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An even number has a factor of 2, so we can represent it as 2x. 

The other number will be 2x + 2. 

So we're tryign to prove that

(2x+2)^2-(2x)^2 = multiple of 4

4x^2+8x+4-4x^2

8x+4

4(2x+1). 

The number has to have a factor of 4, making it a multiple of 4. 

I hope this helped. :)))

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Let's split the shape into parts. 

The small rectangle is 1*2 = 2. 

The big rectangle is 7*6 = 42

The right triangle is a 3, 4, 5 right triangle, 3*4/2 = 6. 

Sum them all.. 4+42+6 = 52. 

I hope this helped. :))

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If you draw it out, you notce that the area of the rectangle is DC * AD, and that area of ADE = AD*DE/2

So ADE is 1/4 of ABCD

AD*DE/2*4 = DC * AD

AD*DE*2 = DC * AD

DE*2 = DC

So our answer is 1/2 since DE is 1/2 of DC.

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Hi iamhappy again, 

Good luck on your test. :))))))))

I'm gonna attempt problem 1. 

Let's try to find PA. 

(27-15)/20*27 = 22.5

We can find the height by using pythagreon theorum, sqrt(22.5^2-13.5^2 ) = 18. 

18*13.5*2/2 = 243.

I hope this helped. 

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Hello iamhappy!

I'm gonna try the third one. :))

AC is the diameter of the circle, and with pythagreon theorum. 4^2+6^2 = 52, sqrt(52)

So, the raduis is sqrt(13) since it's half the diameter. 

The area of the circle is 13pi (sqrt(13)^2*pi)

And the area of the white rectangle is 4*6 = 24

So the area of the grey is 13pi-24. 

I hope this helped. :))

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We're looking for the largest value of f(x) * g(x). 

So, -5 * -2 = 10 which is the largest number. 

So the answer is 10.

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In her first topping, she has 9 choices. 

In her second topping, she has 8 choices. (not 9 because it can't be the first one she chose)

9*8 = 72 options. 

However, we have to consider that choosing a then b is the same as choosing b then a.

For example, choosing peppers then sausage is the same as sausage then peppers, so we have to divide by 2.

72/2 = 36. 

36 options. :))

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