Answer:
12π in³
Step-by-step explanation:
The right triangle formed by the radius (r), height (x), and slant height (y) is a 3-4-5 right triangle, with the dimension 4 inches being the perpendicular height from the base to the apex. That is, the Pythagorean theorem tells us ...
r² + x² = y²
x = √(y² -r²) = √(25 -9) = 4 . . . inches
The formula for the volume of a cone is ...
V = (1/3)πr²h . . . . . . . . h is the height, what you call x
Your cone has r = 3 in, h = 4 in. Filling in these numbers and simplifying, we get ...
V = (1/3)π(3 in)²(4 in) = 12π in³
The volume of the cone is 12π cubic inches.
Answer:
y ≥ 2
Step-by-step explanation:
Range is the y-axis, so we have to look at the graph to find what numbers the line hits.
The line starts at y = 2 and goes up forever (the arrow indicates this), so that means that this line hits all y-values above 2.
Therefore the range is any y-value 2 or higher, so the answer is y ≥ 2.
Answer:
<h3>its so hard im sorry i can't answer it</h3>
Answer:
14cm, 16 cm, 18 cm
Step-by-step explanation:
Note that
= a:b: c = 7:8:9
We have to find the sum of the proportion
Sum of proportion = 7 + 8 + 9
= 24
Length of side a
7/24 × 48 = 14 cm
Length of side b
8 /24 × 48 = 16cm
Length of side a
9/24 × 48 = 18 cm
What are the lengths of the sides?
The lengths of the sides of the triangle in cm are
14cm, 16 cm, 18 cm
Answer:
The answer is 12.5cm
Step-by-step explanation:
cos 52= 7.7/AC
AC= 7.7/ cos 52
AC= 12.5
