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Semmy [17]
2 years ago
7

Find the volume of the prism

Mathematics
1 answer:
leva [86]2 years ago
8 0

Using the formula given for area:

Area = 1/2 (7 +5)4 = 1/2(12)4 = 24 square cm.

Now to find the volume multiply the area by the depth:

24 x 6 = 144 cubic cm.

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Step-by-step explanation:

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Mariulka [41]
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Given triangle abc with vertices A(2,-1), B(5,6), C(-1,4) as shown. Find the number of square units in the area of triangle abs
Roman55 [17]

Answer:

The area of the triangle is 18 square units.

Step-by-step explanation:

First, we determine the lengths of segments AB, BC and AC by Pythagorean Theorem:

AB

AB = \sqrt{(5-2)^{2}+[6-(-1)]^{2}}

AB \approx 7.616

BC

BC = \sqrt{(-1-5)^{2}+(4-6)^{2}}

BC \approx 6.325

AC

AC = \sqrt{(-1-2)^{2}+[4-(-1)]^{2}}

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Now we determine the area of the triangle by Heron's formula:

A = \sqrt{s\cdot (s-AB)\cdot (s-BC)\cdot (s-AC)} (1)

s = \frac{AB+BC + AC}{2} (2)

Where:

A - Area of the triangle.

s - Semiparameter.

If we know that AB \approx 7.616, BC \approx 6.325 and AC \approx 5.831, then the area of the triangle is:

s \approx 9.886

A = 18

The area of the triangle is 18 square units.

7 0
2 years ago
Jane paid $40 for an item after she received a 20% discount. Jane's friend says this means that the original price of the item w
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Answer:

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Step-by-step explanation:

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3 0
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18??
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