The answer is 40%. Count how many right triangles there are, there are 20 right triangles. Count how many right triangles are shaded in, there are 8 right triangles that are shaded in. 8/20=0.4 or 40%
Answer:
1/4
Step-by-step explanation:
The tangent line to f(x) at x=2 goes through the point (2, 8) and has slope 4.
The inverse function f⁻¹(x) is a reflection of the function f(x) across the line y=x. The corresponding tangent line will go through point (8, 2) and have slope 1/f'(2) = 1/4 at that point. That is, ...
(f⁻¹)'(8) = 1/f'(f⁻¹(8)) = 1/f'(2) = 1/4
Formula for calculating volume of a cone is:
V = B*H/3
Formula for calculating volume of cylinder is:
V2 = B2*H2
because our cone fits exactly inside cylinder that means that their bases are the same and heights are the same. From this we can conclude (observing formulas for each volume) that cone has 3x less volume than our cylinder.
Cylinder volume is 6*3 = 18 in^3
Answer:
A. 8/10
Step-by-step explanation:
(0.8 × 10) / (1 × 10) = 8/10 (since, multiplying 10 shifts the decimal point towards the right by one place)
Further, we can reduce fractions 8/10 by dividing the numerator and denominator by 2.
(8 ÷ 2) / (10 ÷ 2) = 4/5
Thus, 0.8 as a fraction is 8/10 or 4/5
