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Mathematics

1 answer:

padilas [110]3 years ago

8 0

Answer:

The answer is 100.5 $in^{3}$ .

Step-by-step explanation:

To solve for the volume of the cylinder, use the cylinder volume formula, which is V = $\pi r^{2} h$ .

Next, plug in the information given from the problem, and the formula will look like V = $(\pi) (2 in^{2}) (8 in)$ .

Then, solve the equation, and the answer will be 100.5 $in^{3}$ .

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In the diagram below, XY and YX are tangent to o . what is the measure of XYZ ?

Agata [3.3K]

Answer:

B. 51°

Step-by-step explanation:

m<XYZ = 1/2(231 - 129)

m<XYZ = 102/2

m<Y = 51

Answer

B. 51°

3 0

4 years ago

The height of the javelin above the ground is symmetric about the line t = seconds. The javelin is 20 feet above the ground for

Levart [38]

I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
PLEASE SEE ATTACHED IMAGE.

Part 1:

we must see in the graph the axis of symmetry of the given parabola.
The axis of symmetry is the following vertical line:
$t = 2
$
Answer:
The height of the javelin above the ground is symmetric about the line t = 2 seconds:

Part 2:

we must see the time t for which the javelin reaches a height of 20 feet for the first time.
We have that when evaluating t = 1, the function is:
$h (1) = 20.
$
To do this, just look at the graph.
Then, we must observe the moment when it returns to be 20 feet above the ground.
For this, we have from the graph that:
$h (3) = 20 feet
$
Therefore, a height of 20 feet is again reached in 3 seconds.
Answer:
The javelin is 20 feet above the ground for the first time at t = 1 second and again at t = 3 seconds