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Diano4ka-milaya [45]
3 years ago
10

A 10 miles per hour b 15 miles per hour c 30 miles per hour d 65 miles per hour

Mathematics
1 answer:
erik [133]3 years ago
7 0
<h3>Answer: B) 15 mph</h3>

====================================================

Explanation:

The equation d = 65t means that the rate is r = 65. So Malcolm's family travels at an average rate of 65 mph. Note this is the slope of the line.

The graph has a slope of 50 because each time we go up 50, we move to the right 1. Ie, slope = rise/run = 50/1 = 50. You could use the slope formula to get the same result.

Since the graph has a slope of 50, this means Theo's family is going at an average speed of 50 mph.

Subtract the two speeds to get 65-50 = 15 mph

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Which of the following equations represents the axis of symmetry for the parabola shown? (5 points)
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3 years ago
Write an equation in slope-intercept <br> A slope of 0 and passes through (0,-3)
Finger [1]

If the line has a slope = 0,  then it's a horizontal line

with the equation y = constant.

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<h3>Answer: y = -3</h3>
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A cylinder has a 12-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed wi
Tems11 [23]

The volume of the cylinder is the space occupied by the cylinder. The volume of the water in the cylinder is 1583.36266 in³.

<h3>What is the volume of a cylinder?</h3>

The volume of the cylinder is the space occupied by the cylinder. It is calculated with the help of the formula,

\text{Volume of the cyllinder}= \pi r^2h

As it is given that the diameter of the cylinder is 12 inches while the height of the cylinder is 15 inches, also, it has a ball of the diameter of 6 inches placed inside the cylinder, therefore, the volume of the water that is inside the cylinder is the difference in the volume of the cylinder and the volume of the spherical ball.

\text{Volume of the cyllinder}= \pi r^2h = \dfrac{\pi}{4}d^2 h

Substitute the values,

\begin{aligned}\text{Volume of the cyllinder}&= \dfrac{\pi}{4}d^2 h\\& = \dfrac{\pi}{4} \times (12^2) \times 15\\ &=1696.46\rm\ in^3\end{aligned}

Now, the volume of the ball is equal to the volume of the sphere therefore, the volume of the ball can be written as,

\text{Volume of the sphere} = \dfrac{4}{3}\pi r^3

                                  = \dfrac{4}{3}\pi r^3\\\\=  \dfrac{4}{3}\times \pi \times (3^3)\\\\= 113.097\rm\ in^3

Further, the volume of the water that is inside the cylinder can be written as,

The volume of water =  Volume of the cylinder - Volume of the sphere

                                   = 1696.46 - 113.097

                                   = 1583.36266 in³

Hence, the volume of the water in the cylinder is 1583.36266 in³.

Learn more about Volume of the Cylinder:

brainly.com/question/1780981

5 0
2 years ago
Help with this question please! Give explanation! Big points
BigorU [14]

Answer:

y = 2

Step-by-step explanation:

This answer is easily found using the Pythagorean Theorem:

{a}^{2}  +  {b}^{2}  =  {c}^{2}

where A and B are the legs, and C is the hypotenuse of the triangle.

{(16)}^{2}  +  {(6y)}^{2}  =  {(10y)}^{2}  \\ 256 +  36{y}^{2}  = 100 {y}^{2}  \\ 256 = 64 {y}^{2}  \\  \sqrt{256}  =  \sqrt{64 {y}^{2}} \\ 16 = 8y \\ y = 2

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3 years ago
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