The height perpendicular to the base is the leg of a right triangle with hypotenuse 10 in and other leg 8 in. Using the Pythagorean theorem, we can find it as ...

h² +8² = 10²

h² = 100 -64 . . . . . subtract 8²

h = 6 . . . . . . . . . . . . take the square root of 36

Then the volume is found using ...

V = (1/3)Bh = (1/3)(16 in)²(6 in) = 512 in³

The volume is 512 cubic inches.

_____

The 8-inch dimension used above comes from half the distance between the center of one side of the base to the center of the opposite side. (16 in)/2 = 8 in.

4 0

3 years ago

A cable company has a one time installation fee and then a monthly charge to use their service. The total cost of modeled by th

SpyIntel [72]

Answer:

130=monthly charge

119=one time installation fee

Step-by-step explanation:

119 is the y-intercept and in problems like these, it is always the one time fee. 130 is the monthly payment because it has an x, which could account for the number of months. For example , say six months passed, you could multiply 130 * 6 to get the monthly fee for six months. I hope that makes sense!

6 0

2 years ago

For an art project, Kelvin cut a 4-foot piece of yarn into pieces. He then measured the length of each piece of yarn to the near

oksian1 [2.3K]

Answer:

I think answers is

label the x-axis "Pieces of Yarn," and label the y-axis "Length (inches

3 0

2 years ago

Which logarithmic equation is equivalent to the exponential equation below?

aleksandr82 [10.1K]

Option B: $\ln 6=5 x$ is the correct answer.