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3 years ago

3. Find the volume of the pyramid.

Mathematics

1 answer:

Gnoma [55]3 years ago

5 0

Answer:

$916.11\:ft^{3}$

Step-by-step explanation:

Volume of the hexagonal pyramid = $1/3\times (area\: of \: hexagonal\:base)\times height$

Here sides of hexagonal base = 9 ft

So, Area of hexagon = $6\times \frac{\sqrt{3} }{4} a^{2}$

$6\times \frac{\sqrt{3} }{4} \times 9 \times 9$

$= 210.5$

Height is given, 13 ft

So, volume = $1/3\times 210.5\times 13$

$= 916.11\: ft^{3}$

<u>OAmalOHopeO</u>

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PLEASE HELP DUE NOW!!!<br> WILL MARK BRAINLIEST!!!

Ulleksa [173]

Answer: -10, 10

Step-by-step explanation:

first lets add the two equations. add the x's, add the y's, add the constants on the right.

we get

0x - 1y = -10

so then divide --10 by -1 because we do the opposite operations to both sides

and we get y = 10

now substitute y = 10 into the first equation

-10x - 9(10) = 10

and then we get -10x - 90 = 10

now add 90 to both sides

-10x = 100

divide 100 by -10

x = -10

y = 10

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2 years ago

Use the given information to solve for x and y

Anuta_ua [19.1K]

Answer:

x = 10 and y = 7

Step-by-step explanation:

Equalateral triangle means all sides are equal.

x = 10, easy

make y + 3 = 10

y = 7

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4 0

3 years ago

3. Sam and Tim each have savings accounts. Every month they each put in some of their

Setler [38]

Answer:

$y = 30x +50$ --- Sam

$y = 20x +80$ --- Tim

Step-by-step explanation:

Given

Sam Tim

х --- f(x) --------------- g(x)

1 --- 80 --------------- 100

2 --- 110 --------------- 120

3 --- 140 --------------- 140

4 --- 170 -------------- 160

Required

Determine the y value

y value implies the equation of the table

Calculating the equation of Sam

First, we need to take any corresponding values of x and y

$(x_1,y_1) = (1,80)$

$(x_2,y_2) = (4,170)$

Next, we calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{170 - 80}{4 - 1}$

$m = \frac{90}{3}$

$m = 30$

Next, we calculate the line equation using:

$y - y_1=m(x-x_1)$

$y - 80 = 30(x - 1)$

$y - 80 = 30x - 30$

Make y the subject

$y = 30x - 30 + 80$

$y = 30x +50$

Calculating the equation of Tim

First, we need to take any corresponding values of x and y

$(x_1,y_1) = (1,100)$

$(x_2,y_2) = (4,160)$

Next, we calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{160 - 100}{4 - 1}$

$m = \frac{60}{3}$

$m = 20$

Next, we calculate the line equation using:

$y - y_1=m(x-x_1)$

$y - 100 = 20(x - 1)$

$y - 100 = 20x - 20$

Make y the subject

$y = 20x - 20+100$

$y = 20x +80$

7 0

3 years ago

Can someone please help me on this

docker41 [41]

Answer:

• The function is a linear function

• The function changes at a constant rate

Step-by-step explanation:

A graph of the function shows it to be a straight line (linear function). Such a function always changes at a constant rate. The line goes downward to the right, so the function is a decreasing function.

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"changes at a constant rate" and "linear function" are two different ways of saying the same thing: the graph of the function is a straight line.

3 0

3 years ago

Can someone please tell me the measure of the angle? thanks

HACTEHA [7]

A = < 90°

the measure of the angle is less than 90

6 0

3 years ago

Read 2 more answers