Answer:
C) 20 Speeders
Step-by-step explanation:
5 divided by 2 is 2.5
there are 2.5 speeders per hour
over the span of 8 hours just multiply
8x2.5=20
Answer:
5 2/4 feet
Step-by-step explanation:
multiply 1 4/5 by 3
Answer:
k = 10
Step-by-step explanation:
The external angle of a triangle is equal to the two opposite interior angles.
∠MYZ is an exterior angle of the triangle, thus
4k + 5 + 6k + 10 = 115, that is
10k + 15 = 115 ( subtract 15 from both sides )
10k = 100 ( divide both sides by 10 )
k = 10
First, substitute the given radius and given height of the cone into the formula for the volume of a cone.
Volume of a cone: (1/3) pi r^2 h
In this case, the cone volume is (1/3) pi (12 cm)^2 (12 cm) = 576 cm^3
Vol. of a rt. cylinder: pi r^2 h
In this case, the vol. of the rt. cyl. is pi (8 cm)^2 h.
The two different shapes have the same volume. Therefore, set the two formulas (above) equal to each other:
576 pi cm^3 = pi (8cm)^2 h. This becomes
576 pi cm^3 = pi (64 cm^2) h. "pi" cancels out, leaving us with
576 cm^3
------------- = h. This is the height of the cylinder, in cm.
64 cm^2
