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kaheart [24]
3 years ago
11

A triangular prism is shown. A cylinder is cut out of the center of the prism. The triangular base has side lengths of 14 and 10

units. The heights of both the cylinder and prism are 8 units. The cylinder has a diameter of 5 units. Which expression represents the volume, in cubic units, of the shaded region of the composite figure?
Mathematics
2 answers:
Anuta_ua [19.1K]3 years ago
8 0

Answer:

Step-by-step explanation:

bogdanovich [222]3 years ago
8 0

Answer:

One-half(14)(10)(8) – π(2.52)(8)

Step-by-step explanation:

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Help would be much appreciated :)
makkiz [27]

Answer:

  • x = - 9

Step-by-step explanation:

<u>In order to find the vertical asymptotes make the denominator equal to zero and solve:</u>

  • 2x + 18 = 0
  • 2x = - 18
  • x = - 9

There is one vertical asymptote since the denominator is linear expression

6 0
2 years ago
Order the following values least to greatest .
fgiga [73]

Answer:

2 3/10, 2.59, 24

Step-by-step explanation:

4 0
3 years ago
Segment PE has endpoints P(-4,4) and E(0,-4). Find the coordinates of point Q such that PQ:QE is 1:3. Enter the coordinates belo
Natalka [10]

Answer:

(-3, 2)

Step-by-step explanation:

Given that point Q, partitions segment PE, such that PQ:QE is 1:3, coordinates of point Q is found using the formula below:

x = \frac{mx_2 + nx_1}{m + n}

y = \frac{my_2 + ny_1}{m + n}

Where,

P(-4, 4) = (x_1, y_1)

E(0, -4) = (x_2, y_2)

m = 1, n = 3

Plug in the necessary values to find x and y coordinates for point Q as follows:

x = \frac{mx_2 + nx_1}{m + n}

x = \frac{1(0) + 3(-4)}{1 + 3}

x = \frac{0 - 12}{4}

x = \frac{-12}{4}

x = -3

y = \frac{my_2 + ny_1}{m + n}

y = \frac{1(-4) + 3(4)}{1 + 3}

y = \frac{-4 + 12}{4}

y = \frac{8}{4}

y = 2

The coordinates of the point Q are (-3, 2))

8 0
3 years ago
Which equation represents and linear function?
EleoNora [17]
The answer is B because a linear function is y=mx+b
6 0
3 years ago
Read 2 more answers
In a stadium, 1,000 tickets were sold. Children’s tickets cost $2.50 each and adults’ tickets cost $5.00 each. The revenue colle
Juli2301 [7.4K]

Answer:

400 children tickets and 600 adult tickets.

Step-by-step explanation:

children tickets in total cost=400x2.50

                                             =1000

adult tickets in total cost=600x5.00

                                             =3000

total cost is 4000

4 0
2 years ago
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