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olya-2409 [2.1K]
3 years ago
10

A cylinder with a 2 centimeter diameter is drilled through the triangular prism shown on the left find the volume of the prism

Mathematics
1 answer:
saw5 [17]3 years ago
3 0

Answer:

The volume of a prism on its own = 248.5cm^3

The volume of a cylinder  = 87.92cm^3

Step-by-step explanation:

The volume does not change for the prism as the hole was drilled.

We can show the drilled space with v(l) and (p) for prism V

v(l) 248.5p - 87.92p + 87.92p

= 248.5p

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Answer:

y = -1/2x - 1/2

Step-by-step explanation:

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m - slope

b - y-intercept

Step 1: Define

y = -1/2x + 3/7

Point (-1, 0)

Step 2: Find parallel line

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<em>m</em> = -1/2

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Step 3: Write parallel line

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3 years ago
Using sum or difference formulas, find the exact value of sin(165∘)
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3 years ago
-8(8v + 1) - 2 = -394
Bess [88]

Answer:

v = 6

Step-by-step explanation:

Solve for v:

-8 (8 v + 1) - 2 = -394

-8 (8 v + 1) = -64 v - 8:

-64 v - 8 - 2 = -394

Grouping like terms, -64 v - 8 - 2 = -64 v + (-8 - 2):

-64 v + (-8 - 2) = -394

-8 - 2 = -10:

-10 - 64 v = -394

Add 10 to both sides:

(10 - 10) - 64 v = 10 - 394

10 - 10 = 0:

-64 v = 10 - 394

10 - 394 = -384:

-64 v = -384

Divide both sides of -64 v = -384 by -64:

(-64 v)/(-64) = (-384)/(-64)

(-64)/(-64) = 1:

v = (-384)/(-64)

The gcd of -384 and -64 is -64, so (-384)/(-64) = (-64×6)/(-64×1) = (-64)/(-64)×6 = 6:

Answer:  v = 6

3 0
3 years ago
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3 years ago
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hodyreva [135]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
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