Volume of cube = 1/3 * pi * r^2 * h
83.74 = 1/3 x 3.14 x r^2 x 5 = 5.233r^2
r^2 = 83.74/5.233 = 16
r = sqrt(16) = 4
Therefore, d = 2(4) = 8 inches.
Answer:
12500
Step-by-step explanation:
25 * 40 = 1000
8% of what = 1000?
8/100 x = 1000
x 12500
15.5 times 5.26 is 81.53 and 80 is closest to that so D
Step-by-step explanation:
y is easy.
it is the Hypotenuse (baseline) of the small right-angled triangle created by the height (8) of the main triangle, the segment 6 of the main Hypotenuse and y.
so, Pythagoras :
y² = 8² + 6² = 64 + 36 = 100
y = 10
x is a bit more complex.
I think the easiest way to get it is to know that the height of a right-angled triangle to the Hypotenuse is the square root of the product of both segments of the Hypotenuse.
so, if we call the segments of the Hypotenuse a and b with a = 6, we have
x = a + b = 6 + b
height (8) = sqrt(a×b) = sqrt(6b)
therefore,
6b = height² = 8² = 64
b = 64/6 = 32/3 = 10 2/3 = 10.66666666...
so,
x = 6 + 10.66666... = 16.666666666...
round it to what is needed. e.g. 2 positions after the decimal point (hundredths) ? then it would be 10.67
Answer:
Lowest angle of the triangle with hypotenuse of 2.9ft and a leg of 2.6ft is 26.29°.
Explanation:
A triangle has a hypotenuse of 2.9ft and a leg of 2.6ft
We have smallest angle = Angle C
We have, Cos C = AC/BC
= 2.6/2.9
= 0.897
C = 26.29°
So lowest angle of the triangle with hypotenuse of 2.9ft and a leg of 2.6ft is 26.29°.