Answer:
The midpoint of CD is (3, 2)
Step-by-step explanation:
The movement of x is +2 from C to D and the movement of y is 16 from C to D
2 (C's x coordinate) +2/2 (to find the movement up to the x coordinate of the midpoint) and -6 (C's y coordinate) + 16/8 (to find the movement up to the y coordinate of the midpoint)
This is 2+1 as the x coordinate and -6+8 as the y coordinate that is (3, 2)
Answer: r = 7 meters
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
From the information given,
Volume = 2,769.48 cubic meters
Height = 18 meters
Therefore,
2769.48 = 3.14 × r² × 18
2769.48 = 56.52r²
r² = 2769.48/56.52 = 49
Taking square root of the left hand side and the right hand side of the equation, it becomes
r = √ 49 = 7 meters
Answer:
(h + g)(10) = -6
Step-by-step explanation:
Step 1: Define
h(x) = 3x + 3
g(x) = -4x + 1
Step 2: Find (h + g)(x)
(h + g)(x) = 3x + 3 + -4x + 1
(h + g)(x) = -x + 4
Step 3: Substitute and Evaluate
(h + g)(10) = -10 + 4
(h + g)(10) = -6
Answer:
B
Step-by-step explanation:
subtract 240 from 360 and that equals 120 / 5 = 24
