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bekas [8.4K]
3 years ago
14

Which of the following is most likely the next step in the series?

Mathematics
2 answers:
stiv31 [10]3 years ago
5 0

Answer:

A. option is correct

Step-by-step explanation:

since number of sides in first figure is 3

number of sides in second figure is 4

number of sides in third figure is 5

hence, number of sides in fourth figure must be 6

A. number of sides in this figure is 6

B. number of sides in this figure is 7

C. number of sides in this figure is 8

D. number of sides in this figure is 4

hence, option A. is correct

IgorC [24]3 years ago
4 0
A. The hexagon as the series is adding a side each time. So you started with 3, 4, 5...
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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

For Pyramid A, the base area is:

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}

B = 4\sqrt 3

The height is calculated from:

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

This gives:

36 = \frac{1}{3} * 4\sqrt 3 * h

Make h the subject

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

h = \frac{3 * 9}{\sqrt 3}

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

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}

The base area B, is then calculated as:

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

Where

s = 6

So:

B = \frac{1}{2} * 6^2 * sin(60)

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

6 0
3 years ago
Read 2 more answers
Units are squared when dealing with area but not when dealing with perimeter
Mashcka [7]
The answer is true I believe 
7 0
4 years ago
State the value of 'x' in this equation, and explain why you know this to be true without doing any calculations. 5X=59
Zigmanuir [339]

The value of x in the equation is 59/5

<h3>How to solve for x?</h3>

The equation is given as:

5x = 59

Divide both sides by 5

x = 59/5

This means that the value of x in the equation is 59/5

To know if the value is accurate, we simply multiply 5 by 59/5 and we get 59 as in 5x = 59

Read more about equations at:

brainly.com/question/2972832

#SPJ1

4 0
2 years ago
The formula / = prt gives the simple interest / earned on an account where an amount p is deposited at an interest rate r for a
wel
Not an answer, but we need the info on the table...
6 0
3 years ago
Say that the economy is in a recession, which is causing the value of gold to fall by three percent. If you have gold reserves w
7nadin3 [17]

Answer:

D

Step-by-step explanation:

8590 x 0.03 = 257.70

._.

5 0
2 years ago
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