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3 years ago

Does the table represent a function if the input is 1,2,3,4 and the output is 3,6,11,18?

1 answer:

8 0

Yes..it does. To be a function, all the inputs (x's) have to be different numbers...there can be no repeating x's...there can be repeating outputs (y's)...just not the x's

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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

Pyramid A

$s = 4$ -- base sides

$V = 36$ -- Volume

Pyramid B

$s = 6$ --- base sides

Required

Determine the volume of pyramid B [Missing from the question]

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

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I don’t understand this so can I get help

solniwko [45]

Answer:

Your image is cut off, can you provide a better one so I can try to answer it?

Step-by-step explanation:

7 0

3 years ago

Will pay $5 to whoever solves this :)

Nataly [62]

Can u send a better picture pls

8 0

3 years ago

If my assignment is worth 14% of my quiz weight which is 27% of my total weight what is the weight of that assignment

Nimfa-mama [501]

Answer:

3.785%

Step-by-step explanation:

Assignment is 14% of the quiz

=> Assignment = 14% of the quiz

Quiz is 27% of the total weightage

=> 14% of 27%

Find 14% of 27%

14% of 27%

= 0.14 x 27 = 3.785%

The assignment is 3.785% of the total weightage.

6 0

3 years ago

Help Pls!!!!!! will give brainlest

Taya2010 [7]

Answer:

Very top one

Step-by-step explanation:

the dot is in between -34 and -35 so 34.5

and the arrow is pointing left which means less than

4 0

2 years ago

Read 2 more answers