Step-by-step explanation:
it is a right-angled triangle, so the side lengths need to fulfill the Pythagoras rule :
c² = a² + b²
where c is the Hypotenuse, the baseline opposite of the 90 degree angle. and a and b (often called legs) are the sides "enclosing" the 90 degree angle.
so, we have
20² = a² + 12²
400 = a² + 144
a² = 256
a = 16
FYI - we could have picked the right answer also by eliminating the wrong given answer options.
as this is a right-angled triangle :
a cannot be longer than the baseline (20).
that eliminates already the first 2 options.
and then look at the picture : a cannot be shorter than b (the other side line (12)).
that eliminates the third option.
A) Volume of a cube is found by multiplying its side by itself twice.
V = a³
V = 4³ = 4 * 4 * 4
V = 64 ft³
b) 1 cubic foot = 7.48 gallons of water.
total gallons of water = 64 ft³ x 7.48 gallons = 478.72 or 479 gallons rounded up to the nearest gallon.
Answer:
Step-by-step explanation:
Using exact values from the 30- 60- 90 special triangle
2cos60°sin30°
= 2 × × = 1 × =
Answer:
$3,379.50.
Step-by-step explanation:
7.51% = . 0751 as a decimal. (. 0751) * $45,000 = $3,379.50.
Answer: (5,18); (-5,38)
Step-by-step explanation:
x^2-2x+3=-2x+28
x^2-25=0
(x-5)(x+5)= 0
-2(5)+28= 18
-2(-5)+28=38
(5,18)(-5,38)
