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Paul [167]
3 years ago
7

4. What is the volume of the triangular pyramid?

Mathematics
1 answer:
aleksklad [387]3 years ago
4 0

Answer:

V=6240 in^3

Step-by-step explanation:

I am not sure what the base is but here is my guess:

V=13Ah

V=13(48)(10)

V=6240 in^3

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5. y = (x + 5)2 – 25
Oksana_A [137]

Answer:

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Step-by-step explanation:

25+x=25x

25-25=0

y=0

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The local park will create a platform made of concrete. Determine the volume of the composite solid.
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3 years ago
(1/27)^x-6=27<br><br>Could I please have a step by step as well? Much appreciated! ​
Andrei [34K]

Answer:

x = 7

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

\frac{1}{ {27}^{x - 8} }  = 27

2) Multiply both sides by 27^x - 8.

1 =  {27} \times 27^{1 + x  - 8}

3) Use the product rule: x^a x^b = x^a+b.

1 =  {27}^{1 + x - 8}

4) Simplify 1 + x - 8 to x - 7.

1  =  {27}^{x - 7}

5) Use Definition of Common Logarithm: b^a = x if and only if log<u>b</u><u> </u>(x) = a.

log_{27}1 = x - 7

6) Use Change of Base Rule.

\frac{ log_1  }{  log{27} }  = x - 7

7) Use rule of 1: log 1 = 0.

\frac{0}{ log_{27}}  = x - 7

8) Simplify 0/log_27 to 0.

0 = x - 7

9) Add 7 to both sides.

7 = x

10) Switch sides.

x = 7

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>7</u><u>.</u>

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3 years ago
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Setler79 [48]

Answer:

The second one for both a and b.

Step-by-step explanation:

The first cereal box is:

8•3•11=264 inches cubed

the second cereal box is:

10•10•3=300 inches cubed

a. The box that holds more cereal would be the second one, since it has more volume.

b. The box that requires more material to make is the second one, since the it is bigger in volume, therefore, bigger in length and width.

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3 years ago
The repeating decimal number 8.2151515... written as a fraction is
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