All categories

3 years ago

The base of a triangular prism has an area of 18 sq in if the height if the prism is 9.5 inches

Mathematics

1 answer:

Mars2501 [29]3 years ago

8 0

Answer:

171 cubic inches

Step-by-step explanation:

The volume of the prism can be found using the formula V = B*h. Here B is the area of the base which is 18 and h = 9.5.

V = 18*9.5 = 171 cubic inches

You might be interested in

Suppose the initial height of a Pumpkin is 12 feet and the pumpkin is being launched with a velocity of 61 feet per second. Use

iogann1982 [59]

<h2>Hello!</h2>

The answer is:

The maximum height before landing will be 69.7804 feet.

Since there is no information about the angle of the launch, we can safely assume that it's launched vertically.

So, we can calculate the maximum height of the pumpkin using the following formulas:

$y=y_o+v_{o}*t-\frac{1}{2}gt^{2}$

$v=vo-gt$

Where,

y, is the final height

$y_o$ , is the initial height

g, is the acceleration of gravity , and it's equal to:

$g=32.2\frac{ft}{s^{2} }$

t, is the time.

Now, we are given the following information:

$y_{o}=12ft\\\\v=61\frac{ft}{s}$

Then, to calculate the maximum height, we must remember that at the maximum height, the speed tends to 0, so, calculating we have:

Time calculation,

We need to use the following equation,

$v=vo-gt$

So, substituting we have:

$v=61\frac{ft}{s}-32.2\frac{ft}{s^{2}}*t\\\\-61\frac{ft}{s}=-32.2\frac{ft}{s^{2}}*t\\\\t=\frac{-61{ft}{s}}{-32.2\frac{ft}{s^{2}}}=1.8944s$

We know that it will take 1.8944 seconds to the pumpkin to reach its maximum height.

Maximum height calculation,

Now, calculating the maximum height, we need to use the following equation:

$y=y_o+v_{o}*t-\frac{1}{2}gt^{2}$

Substituting and calculating, we have:

$y=y_o+v_{o}*t-\frac{1}{2}gt^{2}$

$y=12ft+61\frac{ft}{s}*1.8944s-\frac{1}{2}32.2\frac{ft}{s^{2}}*(1.8944s)^{2}$

$y=12ft+61\frac{ft}{s}*1.8944s-\frac{1}{2}32.2\frac{ft}{s^{2}}*(1.8944s)^{2}\\\\y_{max}=12ft+115.5584ft-16.1\frac{ft}{s^{2}}*(3.5887s^{2})\\\\y_{max}=127.5584ft-57.7780ft=69.7804ft$

Hence, we have that the maximum height before the landing will be 69.7804 feet.

Have a nice day!

3 0

3 years ago

According to the chart, from 1986-1996, unintentional drug overdose deaths per 100,000 population began to rise. The numbers for

ICE Princess25 [194]

Answer:

2.18

Step-by-step explanation:

The mean is the most familiar average. It is defined as a value obtained by dividing the sum of all observations by their number. It is calculated as

Mean = Sum of all the observations/ Number of the observations

Mean= x₁+x₂+...............+xₐ/n

Where x₁,x₂,...............,xₐ refer to different values of x and n is the sample size.

Mean= 2+1+2+2+2+2+1+3+3+3+3/11= 24/11= 2.18

The mean may correspond to a population or a sample from a population.

The population mean is a fixed quantity where as the sample mean is a variable quantity because different samples from the same population tend to have different means.

6 0

3 years ago

Read 2 more answers

The math team does practice drill that each last 1/6hour in November the team did practice drills for a total of 24hrs how many

never [62]

Answer:

I think 144

Step-by-step explanation:

there is 1440 minuets in an hour 1 6th of an hour is 10 minuets if you divide 10 by 1440 its 144

7 0

3 years ago

A box of nails costs $2.25. A box of screws costs 1.2 times as much as the box of nails.