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inn [45]
2 years ago
9

Colton has a stone paperweight composed of a triangular pyramid on top of a triangular prism with the dimensions shown below. Us

e the drop-down menus to explain how to determine the volume of the paperweight. Needdddd major hellllpppp pleaseeee!!!!! 40 points!!!

Mathematics
1 answer:
Eva8 [605]2 years ago
3 0

The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.

The base and height are the two sides perpendicular to each other, which are both 5 inches.

The area of the base = 1/2 x 5 x 5 = 12.5 square inches.

The volume of the triangular prism is the area of the base times the height, which is 4 inches.

Volume of the triangular prism is 12.5 x 4 = 50 cubic inches.

Volume of the triangular prism is 1/3 x area of base x height, which is 7:

Volume of the triangular prism = 1/3 x 12.5 x 7 = 29.17 cubic inches.

Total volume = 29.17 + 50 = 79.17 cubic inches.

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Jeremy walks into a video arcade with a pocketful of quarters. He spends them at a rate of four every quarter hour until he runs
sdas [7]
The answer is A as he has all of the quarters when he spends no time in the arcade
5 0
2 years ago
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Gary buried a time capsule in his backyard so that the top of the capsule was 1.81.81, point, 8 meters underground. He covered t
topjm [15]

Answer:

The sign is buried 0.60 of a meter below the ground.

Step-by-step explanation:

7 0
2 years ago
Two friends went rowing on the river. They first traveled with current for 3 hours. The way back took them 4 hours and 48 minute
kaheart [24]

Answer:

1.5 mph

Step-by-step explanation:

Let speed of boat be x

let speed of current be c

Also, note D = RT

D is distance

R is rate

T is time

Now, for first leg, we can write:

(x+c)3 = D

And for second leg , we can write:

(x-c)4.8 = D  [note 4 hour 48 minutes is 4.8 hours]

We can equate both D's to get:

(x+c)3 = (x-c)4.8

3x + 3c = 4.8x - 4.8c

7.8c = 1.8x

We know x = 6.5 [given], plugging it in and solving for c:

7.8c = 1.8(6.5)

c = 1.5

Speed of Current = 1.5 miles per hour

3 0
2 years ago
Read 2 more answers
PLEASE HELP!! laboratory tests show that the lives of light bulbs are normally distributed with a mean of 750 hours and a standa
Lunna [17]

Answer:

P = 0.0215 = 2.15%

Step-by-step explanation:

First we need to convert the values of 900 and 975 to standard scores using the equation:

z = \frac{x - \mu}{\sigma}

Where z is the standard value, x is the original value, \mu is the mean and \sigma is the standard deviation. So we have that:

standard value of 900: z = \frac{900 - 750}{75} = 2

standard value of 975: z = \frac{975 - 750}{75} = 3

Now, we just need to look at the standard distribution table (z-table) for the values of z = 2 and z = 3:

z = 2 -> p_2 = 0.9772

z = 3 -> p_3 = 0.9987

We want the interval between 900 and 975 hours, so we need the interval between z = 2 and z = 3, so we just need to subtract their p-values:

P = p_3 - p_2 = 0.9987 - 0.9772 = 0.0215

So the probability is 0.0215 = 2.15%

8 0
2 years ago
The amount of water that the girls on the basketball and soccer teams drink during one practice session is recorded in the dot p
Radda [10]

Answer:

<h2>B. 30 oz less than.</h2>

Step-by-step explanation:

We have two dot plots, one for the Basketball Team and one for the Soccer Team.

Notice that there are 16 girls in the Basketball Team and 16 girls in the Soccer Team.

Basically, the median is between the 8th and 9th term in each data set. Specifically, is the mean between them.

<h3>For Basketball Team</h3>

m_{basketball} =\frac{32+32}{2}=32

Because the 8th and 9th term are both equal to 32.

<h3>For Soccer Team</h3>

m_{soccer}=\frac{64+64}{2}=64

Because the 8th and 9th term are both equal to 64.

If we subtract them to find the difference, it would be

\Delta m=64-32=32

Basically, the Soccer Team drank 32 more ounces of water than the Basketball Team.

Therefore, the right answer is B, that's the closest one.

4 0
2 years ago
Read 2 more answers
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