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Ipatiy [6.2K]
3 years ago
12

Solve the equation. 8 (2-6v) +19=-61

Mathematics
2 answers:
irinina [24]3 years ago
7 0

Answer:

v=2

Step-by-step explanation:

chubhunter [2.5K]3 years ago
6 0

Answer:

v = 2

Explanation:

8(2 − 6v) + 19 = −61

[ Simplify both sides of the equation ]

8(2 − 6v) + 19 = −61

(8)(2) + (8)(−6v) + 19 = −61 (Distribute)

16 + −48v + 19 = −61

(−48v) + (16 + 19) = −61 (Combine Like Terms)

−48v + 35 = −61

−48v + 35 = −61

[ Subtract 35 from both sides ]

−48v + 35 − 35 = −61 − 35

−48v = −96

[ Divide both sides by -48 ]

−48v / -48 = −96 / -48

v = 2

- PNW

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The square based pyramid is cut horizontally at a height of 15cm to leave this frustum. Calulate the volume of the frustum.
allsm [11]

Answer:

The answer is given below

Step-by-step explanation:

The question is not complete. The correct question is:

A square based pyramid have a height of 30 cm and base of 10 cm. The The square based pyramid is cut horizontally at a height of 15cm to leave this frustum.

Answer:

The frustum would have a base of 10 cm and height of 15 cm. The lower base has a length of 10 cm. to calculate the upper base, we use the formula:

\frac{height\ of\ frustum}{height\ of \ pyramid}=\frac{base \of\ upper\ edge}{base \of\ lower\ edge}

Substituting:

\frac{30}{15}=\frac{10}{b} \\ b=15*10/30=5

The volume of the frustum is given by the formula:

V=\frac{h}{3}(A_1+A_2+\sqrt{A_1A_2} )

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Substituting gives:

V=\frac{h}{3}(A_1+A_2+\sqrt{A_1A_2} )=\frac{15}{3}(100+25+\sqrt{100*25} )= 875\ cm^3

7 0
3 years ago
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