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Eduardwww [97]
3 years ago
7

A gemstone is cut in the shape of a triangular pyramid. The area of the base of the pyramid is 42 square millimeters. The height

of the pyramid is 4 millimeters. What is the volume of the gemstone? (Recall the formula V = one-third B h.)
Mathematics
1 answer:
never [62]3 years ago
7 0

Answer:

the volume of the gemstone is 56 millimeters^3

Step-by-step explanation:

The computation of the volume of the gemstone is shown below:

As we know that

The volume of the triangular pyramid is

= (1 ÷ 3) × (base area) × h

Now put the given values to the above formula

= 1 ÷ 3 × 42 × 4

=  56 millimeters^3

Hence, the volume of the gemstone is 56 millimeters^3

The above formula should be used and the same should be considered

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Two kinds of tickets to an outdoor concert were sold: lawn tickets and seat tickets. Less than 400 tickets in total were sold. L
miskamm [114]

Answer:

Tickets to sit on the bench (b) = 150

Tickets to sit on the lawn (l) = 200

Step-by-step explanation:

Tickets to sit on a bench (b)cost $75 each.

Tickets to sit on the lawn (l) cost $40 each

350 tickets had been sold

$19,250 had been raised through tickets sales

This forms a simultaneous equation:

b + l = 350 ... (i)

75b + 40l = 19,250 ... (ii)

Multiplying (i) by 40 and (ii) by 1 we get;

40b + 40l = 14,000 ... (i)

75b + 40l = 19,250 ... (ii)

Subtracting (ii) - (i) we get;

35b = 5250

b = 5250 ÷ 35 = 150

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3 years ago
What is the science of collecting,organizing,analyzing,and interpreting data?
Veseljchak [2.6K]

Answer:

statistics

Step-by-step explanation:

Statistics is the science of collecting, organizing, analyzing, and interpreting data in order to make decisions. A population is the complete collection of all elements (scores, people, measurement, and so on) to be studied. The collection is complete in the sense that it includes all subjects to be studied.

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3 years ago
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29300$ at 10% for six years use simple interest to find the ending balance show all work
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Answer:

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Step-by-step explanation:

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29300*0.6=I

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5 0
2 years ago
Find the GCF of the terms of the polynomial.
-BARSIC- [3]
<h3>Answer:   2z^3</h3>

====================================================

Explanation:

The GCF of the coefficients {6, -42, 14} is 2 as it is the largest factor found in each of the three values.

----------

For the variable portions, we can

  • write z^5 as z^3*z^2
  • write z^4 as z^3*z^1
  • write z^3 as z^3*1

Each time we see z^3 show up, so this is the largest common factor among the three variable terms.

----------

The two results we got were 2 and z^3

Putting the two results together, we end up with the overall GCF of 2z^3

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3 years ago
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Answer:

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Step-by-step explanation:

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