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Leto [7]
3 years ago
11

Solve for the height (h) of this triangular prism if the volume is 1080. The

Mathematics
1 answer:
dexar [7]3 years ago
4 0

Answer: 18

Step-by-step explanation:

Area of triangle = (0.5) × base(b) × height(h)

Base of triangle = 8

Height of triangle = 15

Area of triangle = (0.5) × 8 × 15 = 60

Volume of triangular prism = B × height

Where h = height

B = area of triangle

Volume of triangular prism = 1080

Find the height(h) of the triangular prism

Volume of triangular prism = B × height

1080 = 60 × h

h = 1080 / 60

h = 18

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Two similar triangular prisms have volumes of 27 square meters and 64 square meters.
Inessa [10]

Answer:

9/16

Step-by-step explanation:

First we need to know that the dimensions ratio, the surface area ratio and the volume ratio have the following relation:

volume ratio = dimension ratio ^3

surface area ratio = dimension ratio ^2

The volume ratio between small prism and the large prism is 27 / 64.

To find the dimensions ratio, we need to take the cubic root of the volume scale:

dimension ratio = 3√(27/64) = 3/4

Now, to find the surface area ratio, we just need to make the square of the dimension ratio:

surface area ratio = (3/4)^2 = 9/16

8 0
3 years ago
Solve for t. −5t≥70
bija089 [108]

Answer:

Step-by-step explanation:

-5t ≥ 70

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7 0
3 years ago
Read 2 more answers
Part 1: Use the information provided to write the standard form equation of each circle. Please show the work.
dusya [7]

Answer:

1. (x + 2)² + (y - 9)² = 64

2. (x + 6)² + (y - 9/2)² = 100

3. (x - 15)² + (y + 10)² = 1

Step-by-step explanation:

Equation of a circle:

(x - h)² + (y - k)² = r²

1. Center: (-2, 9), Radius: 8

(x - (-2))² + (y - 9)² = 8²

(x + 2)² + (y - 9)² = 64

2. Center: (-6, 9/2), Radius: 10

(x - (-6))² + (y - (9/2))² = 10²

(x + 6)² + (y - 9/2)² = 100

3. Center: (15, -10), Radius: 1

(x - 15)² + (y - (-10))² = 1²

(x - 15)² + (y + 10)² = 1

4 0
3 years ago
What is bigger 3 yards or 10 feet
Studentka2010 [4]
10 feet is bigger than 3 yards I think not so positive

4 0
3 years ago
Read 2 more answers
Some of the dimensions of a square pyramid are shown in the diagram. The height of the pyramid is 7.5 meters. square pyramid Wha
Naddika [18.5K]

Answer:

i think the answer is 2.5 but im not 100% sure if it is.

Step-by-step explanation:

50/50 chance.

5 0
2 years ago
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