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serg [7]
3 years ago
5

Please Help!! It's urgent :)

Mathematics
2 answers:
Paha777 [63]3 years ago
8 0

Answer:

hope this helps

Step-by-step explanation:

For a.) I would do the simplist example possible and make all 3 angles equal. So you would divide 180° degrees by 3. This gives you 60° for each angle. That is still acute.

b.) complementary angles mean they add up to 90°

If one has to be greater than 45° you can so 68° and 22°.

c.) 100 - 10,10; 20,5; 50,2; 4,25

You can choose any pair for the length and width of the ones I put above. :)

d.) angle ABC can equal 32° and angle CBD can be 10°

miv72 [106K]3 years ago
6 0

Step-by-step explanation:

a, 90*, 90*, 90*

b, 135,135

c, 60,40

d, 152,166

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I put $500 in a saving account that warns 7% interest compounded quarterly. How much will be in the account after 1 year? Rounde
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n=
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2 years ago
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Pyramid A has a triangular base where each side measures 4 units and a volume of 36 cubic units. Pyramid B has the same height,
omeli [17]

Answer:

The volume of pyramid B is 81 cubic units

Step-by-step explanation:

Given

<u>Pyramid A</u>

s = 4 -- base sides

V = 36 -- Volume

<u>Pyramid B</u>

s = 6 --- base sides

Required

Determine the volume of pyramid B <em>[Missing from the question]</em>

From the question, we understand that both pyramids are equilateral triangular pyramids.

The volume is calculated as:

V = \frac{1}{3} * B * h

Where B represents the area of the base equilateral triangle, and it is calculated as:

B = \frac{1}{2} * s^2 * sin(60)

Where s represents the side lengths

First, we calculate the height of pyramid A

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B = \frac{1}{2} * s^2 * sin(60)

B = \frac{1}{2} * 4^2 * \frac{\sqrt 3}{2}

B = \frac{1}{2} * 16 * \frac{\sqrt 3}{2}

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V = \frac{1}{3} * B * h

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Make h the subject

h = \frac{3 * 36}{4\sqrt 3}

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To calculate the volume of pyramid B, we make use of:

V = \frac{1}{3} * B * h

Since the heights of both pyramids are the same, we can make use of:

h = \frac{27}{\sqrt 3}

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B = \frac{1}{2} * s^2 * sin(60)

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s = 6

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B = \frac{1}{2} * 36 * \frac{\sqrt 3}{2}

B = 9\sqrt 3

So:

V = \frac{1}{3} * B * h

Where

B = 9\sqrt 3 and h = \frac{27}{\sqrt 3}

V = \frac{1}{3} * 9\sqrt 3 * \frac{27}{\sqrt 3}

V = \frac{1}{3} * 9 * 27

V = 81

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