Volume of the pyramid = (1/3) x Area of the base x
Height ---------- (1)
As the base length = 5 feet
So Area of the base = 5 x 5 = 25 square feet
While volume of the pyramid = 75 cubic feet
Putting values in equation (1);
75 = (1/3) x 25 x Height
Height = (75 x 3) / 25
Height = 9feet
<span>So 2nd option is correct.</span>
Now to solve this problem, all we have to remember is the
formula for calculating the linear speed given the radial speed, that is:
v = r w
where,
v = is the linear velocity or linear speed
r = is the radius of the circular disk = (1 / 2) diameter
= (1/ 2) (2.5 inches) = 1.25 inches
w = is the radial velocity (must be in rad per time) =
7200 rev per minute
Calculating for v:
v = 1.25 inches (7200 rev per minute) (2 π rad / 1 rev)
v = 56,548.67 inches / minute
Converting to miles per hour:
v = 56,548.67 inches / minute (1 mile / 63360 inches) (60
min / hour)
<span>v = 53.55 mile / hour</span>
Answer:
m<1 = 175 degrees
Step-by-step explanation:
3x + 10 = 2x + 15
-2x - 10 = -2x - 10
x = 5
180 - 5 = 175 degrees
Answer:
Lower left.
Step-by-step explanation:
To determine if a graph is a function the "vertical line test is used. If any point on a graph has one x value go to two y values it is not a function.
Witht he four pictures, the two on the right use a horizontal line, so it doesn't tell at all, on the leftthe upper one is vertical but it doesn't show that one x value has two corresponding y values. So it must be the lower left one.
The lower left picture has a line at x=1, and it passes through the line of the graph at two different y values, 4 and -4. So this has two y values with one x value.