Answer:
The volume in terms of π is 144 ft³
The volume rounded to the nearest tenth is 452.4 ft³
Step-by-step explanation:
The formula of the volume of a cone is V = π r² h , where r is its radius and h is its height
The formula of the area of a circle is A = π r²
The area of the base of the cone is 36π ft²
Equate the formula of the area of the circle by 36π to find r
πr² = 36π
Divide both sides by π
r² = 36
Take √ to both sides
r = 6 ft
The height of the cone is equal to twice the radius
The radius of the cone is 6 ft
Multiply 6 by 2 to find the height
h = 2(6) = 12 ft
The height of the cone is 12 ft
Subsitute the values of h and r in the formula of the volume of the cone to find it
V = π(6)²(12)
V = 144 π ft³
V = 452.3893421 ft³
Round it to the nearest tenth
V = 452.4 ft³
Answer:
A. 2 feet long
Step-by-step explanation:
the weight starts at 0.5 lbs = 10 inches, and after that every extra 0.5 lb means it's 2 inches longer. so the last data point we have is 2.5 lbs = 18 in, so we can assume that 3.0 lbs = 20 in, 3.5 lbs = 22 in, and 4.0 lbs = 24 in, and 24 inches is equal to 2 feet
The correct answer would be at and t because its cheaper for 50 text
Answer: y = 0.45x + 21
Step-by-step explanation:
let x represent the number of minutes used in a month.
Let y represent the monthly cost for x minutes.
If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be
Slope, m = (304.5 - 183)/(630 - 360)
m = 121.5/270 = 0.45
The equation of the straight line can be represented in the slope-intercept form, y = mx + c
Where
c = y intercept
m = slope
To determine the y intercept, we would substitute x = 360, y = 183 and m = 0.45 into y = mx + c. It becomes
183 = 0.45 × 360 + c
183 = 162 + c
c = 183 - 162
c = 21
The equation for the monthly cost is
y = 0.45x + 21
Whatever the value of s is will be multiplied by 8 and the value of b will be multiplied by 2.
