Answer:
Step-by-step explanation:
Joint variation has the equation
y = kxz
k is the constant of variation and needs to be solved for using the initial conditions, then filled in later to another equation related to the given info to solve for something else. We are given y = amount of oil used, x = distance traveled, z-squared is the speed. Our equation looks like this, to be exact:
Filling in with the initial conditions:
which gives us the
k = .0014166667
Now we need to find the amount of oil used, y, under other circumstances, but this time we have our k.
which gives us that the amount of oil used, when rounded to the tenths,
y = 24.0 barrels
Your equation would be T=.002n.
For a right triangle, the sum of the squares of two shorter side should be equal to the square of the third side. The calculations for each choices are shown below.
a. (5 mm)² + (12 mm)² = 169 mm² ; (13 mm)² = 169 mm² ; EQUAL
b. (20 mm)² + (48 mm)² = 2704 mm² ; (52 mm)² = 2704 mm² ; EQUAL
c. (6 mm)² + (8 mm)² = 100 mm² ; (10 mm)² = 100 mm² ; EQUAL
d. (11 mm)² + (24 mm)² = 697 mm² ; (26 mm)² = 676 mm² ; NOT EQUAL
Therefore, the answer is letter D.
The sphere and the cylinder have the same heightbecause of this the height of the cylinder is equal to the diameter of the spherethe diameter of the sphere is 2*7=14 cm, so the height of the cylinder is also 14 cmthe radius of the cylinder is 7 cmV=∏*r^2*hV=3.14159*7^2*14V=3.14159*49*14V=3.14159*686V=2155.13074 cubic cm, or...V=(22/7)(7^2)(14) (22/7 is an approximation for pi)V=(22/7)(49)(14)V=(22)(7)(14)V=(22)(98)V=2156 cubic cm
