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Rudik [331]
3 years ago
9

These prisms are similar. Find the volume of the larger prism in decimal form. Ratio 5:7. Volume of smaller Prism is 50 m3

Mathematics
1 answer:
lord [1]3 years ago
6 0

Answer:

137.2 m³

Step-by-step explanation:

The ratio of volumes is the cube of the ratio of linear dimensions. The larger volume is ...

... V = (7/5)³ × 50 m³ = 2.744 × 50 m³

... V = 137.2 m³

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Answer:

5 gallons

Step-by-step explanation:

3/4 + 6/8 + 20/8 + 1

6/8 + 6/8 + 20/8 + 8/8

40/8 = 5 gallons

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2 years ago
I need help please and thank you
Nat2105 [25]
I think it’s 4 m because diameter is 2r
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On a coordinate plane, triangle L M N has points (1, negative 1), (3, 2), and (1, 3). An altitude is drawn from point M to point
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The answer is 4 units.
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Please help with this
Arturiano [62]

The missing side of the triangles are 5, 16.92, 7 and 5 respectively.

Step-by-step explanation:

  • Step 1: Use the Pythagoras Theorem to find the missing sides.

a² + b² = c²

In the first triangle, a = 3, b = 4.

c² = 3² + 4² = 9 + 16 = 25

⇒ c = 5

∴ Missing side is 5

In the second triangle, a = 15, b = 8

c² = 15² + 8² = 225 + 64 = 289

⇒ c = 16.92

Missing side is 16.92

In the third triangle, b = 24, c = 25

a² = c² - b²

a² = 25² - 24² = 625 - 576 = 49

⇒ a = 7

Missing side is 7

In the fourth triangle, a = 12, c = 13

b² = c² - a²

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⇒ b = 5

Missing side is 5

7 0
3 years ago
Helpppppppppppp meeee​
nikklg [1K]

Answer:

25z^{4} + 30z³ + 29z² + 12z + 4

Step-by-step explanation:

(5z² + 3z + 2)²

= (5z² + 3z + 2)(5z² + 3z + 2)

Each term in the second factor is multiplied by each term in the first factor, that is

5z²(5z² + 3z + 2) + 3z(5z² + 3z + 2) + 2(5z² + 3z + 2) ← distribute parenthesis

= 25z^{4} + 15z³ + 10z² + 15z³ + 9z² + 6z + 10z² + 6z + 4 ← collect like terms

= 25z^{4} + 30z³ + 29z² + 12z + 4

4 0
2 years ago
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