Answer:
Step-by-step explanation:
Volume of Cone =1 \div 3 \times \pi \times r { \times h}^{2}1÷3×π×r×h
2
Answer
C) 160 in^2
Step by step explanation
First, let's find the area of the rectangle.
Area of a rectangle = length x width
The area of the rectangle = 20 * 10
= 200 in^2
Now let's find the area of the triangle that is removed.
Area of a triangle = 1/2 base * height.
Here base = 10 and height = 8. Plug in these values into the formula, we get
Area of the triangle = 1/2 * 10*8
= 5* 8
The area of the triangle = 40 in^2
The area of the remaining figure = Area of the rectangle - area of the triangle
= 200 - 40
= 160 in^2
The answer is "160 in^2"
Thank you.
Answer: the rate uphill is 6 mph.
The rate downhill is 10 mph
Step-by-step explanation:
Let x represent the rate at which the jogger ran uphill.
The jogger runs 4 miles per hour faster downhill than uphill. This means that speed at which the jogger ran downhill is (x + 4) mph
Time = distance/speed
if the jogger can runs 5 miles downhill, then the time taken to run downhill is
5/(x + 4)
At the same time, the jogger runs 3 miles uphill. It means that the time taken to run uphill is
3/x
Since the time is the same, it means that
5/(x + 4) = 3/x
Cross multiplying, it becomes
5 × x = 3(x + 4)
5x = 3x + 12
5x - 3x = 12
2x = 12
x = 12/2
x = 6
The rate downhill is 6 + 4 = 10 mph
Answer:
y = - 
x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 3 ← is in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - , hence
y = - x + c ← is the partial equation of the perpendicular line
To find c substitute (3, 1) into the partial equation
1 = - 1 + c ⇒ c = 1 + 1 = 2
y = - x + 2 ← equation of perpendicular line
