The answer is C. 2.
This is because the part that is inside of the parentheses is equal to 4. Multiplying the fractions in the numerator is equal to 
.
, using the exponential rule 3/2-1/2=2/2 or 1. 4^1=4.
Now, we reduced the fraction, so all that is left is 
. This is equal to 2.
So your answer is 2.
I hope this helps :)
Answer:
Surface area= 7.5
Step-by-step explanation:
The area of a triangle is b*h/2. so if you fill in the numbers your equation would be 5*3/2. 5*3=15 and 15/2=7.5
hope this helps!!
Answer:
1. new perimeter = 4 times the old perimeter
2. The area will go up by a factor of 16
3. The new area is 1/9 of the original area.
Step-by-step explanation:
1. side length1 = x
side length2 = y
2x + 2y = perimeter
2(4x) + 2(4)y = new perimeter
8x + 8y = new perimeter
new perimeter = 4 times the old perimeter
2. The area will go up by a factor of 16. This is because the area formula has them being multiplied together and thus it will make the area go up by that much.
3. Let the length of the rectangle be x
Let width of rectangle be y
Area of rectangle = L*W
Now Each side length of the rectangle is multiplied by 1/3
So, new area = (1/3)L * (1/3)W
=(1/9)LW
So, the new area is 1/9 of the original area.
From the Special Triangle Theorem, the hypotenuse is equal to the side lengtht times the Sqrt(2).
So hypotenuse H = xSqrt(2), x=H/Sqrt(2).
Using numbers, if H = 7, then x = 7/Sqrt(2) = 7Sqrt(2)/2 to rationalize it.
