8. 3^6
Reasoning because 3^6 gives you 729
Answer:
Step-by-step explanation:
hypotenuse = √(14.4² + 6²) = √243.36 = 15.6 mi
area of triangle = 0.5×6×14.4 = 43.2 mi²
radius of semicircle = 15.6/2 = 7.8
area of semicircle = πr² = 60.84π mi²
total area = 43.2 + 60.84π ≅ 234.33 mi²
Reading through the problem we have <em>3 is</em>, that's <em>3 equals</em>, <em>what percent</em>, <em>x/100</em>, <em>of 600</em>, <em>times 600</em>.
Notice that for <em>what percent</em> I put <em>X</em>/100. The reason I did this is because the word percent means over 100 and since we don't know what percent we're dealing with yet, we can put a variable there as a placeholder.
So we have 3 = <em>X</em>/100 · 600.
Now cross-canceling the 600 and 100 to 6 and 1, we have 3 = 6x/1.
Multiply both sides by 1 to get rid of the fraction and we have 3 = 6x.
Dividing both sides by 2, we find that 0.5 = x.
So <em>3 is 0.5% of 600</em>.
Answer:
Step-by-step explanation:
To find the volume of this prism, find the area of the (white) face and then multiply it by the length of the prism.
The face is a triangle with base 8 in and height 15 in. According to the area-of-a-triangle formula, the area is A = (1/2)(base)(height), which here is:
A = (1/2)(8 in)(15 in) = 60 in^2.
Multiply this by 11 in to get the volume of the prism:
V = (60 in^2)(11 in) = 660 in^3 (this is the fourth possible answer)
Solution:
Step 1:
For angle D, Opposite is 12 and adjacent 20