Answer:
D
Step-by-step explanation:
w ≥ 15
Answer: The shaded area is 99.55 units squared.
Step-by-step explanation:
r = 3.2
Now, we can see that the sides of the square are equal to two times the diameter of the circles (or four times the radius of the circles), so the length of the sides of the square is:
L = 2*(2*3.2) = 12.8
The area of the square is A1 = L^2 = 12.8*12.8 = 163.84 units squared.
the shaded semicircle has a diameter of 4 times r (so the radius is 2 times r), and the area is equal to half the area of a circle:
A2 = (1/2)*pi*(2r)^2 = (1/2)*3.14*(6.4)^2 = 64.31 units squared.
And now we must subtract the area of the four smaller circles inside the square, the area of each one is:
A3 = pi*r^2 = 3.14*(3.2)^2 = 32.15 units squared.
Then the shaded area is:
A = A1 + A2 - 4*A3 = 163.84 + 64.31 - 4* 32.15 = 99.55 units squared.
She can break up the nine in to 3 three time and add it to 35
Answer:
Step-by-step explanation:
Supplementary means that 2 angles add up to 180 degrees.
If ACB and ACD are supplementary then they have to add up to 180 degrees.
We know that ACD is smaller than ACB and EGF is supplementary to the smaller of the two.
So then these two are supplementary.
If these are supplementary then the only reason i can think of is that they are supplementary or not. I recently had a test on this too and i may have failed. I have given you all the information i know. Sorry. If it is multiple choce then pick a random one. You may get it correct.
Answer:
C. 12x² + 8x + 25
Step-by-step explanation:
A. 12x² + 15
B. 20x² + 25
C. 12x² + 8x + 25
D. 24x² + 16x + 50
Hypotenuse = 8x²
Height = 4x² + 15
Base = 8x + 10
Perimeter of the triangle = hypotenuse + height + base
= 8x² + (4x² + 15) + (8x + 10)
= 8x² + 4x² + 15 + 8x + 10
Perimeter of the triangle = 12x² + 8x + 25
C. 12x² + 8x + 25