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lord [1]
1 year ago
12

A rectangular prism has a base that is 4 m by 6 m and a height of 10 m. If all dimensions are doubled, what happens to the volum

e? Explain why he steps that you take to arrive your answer.
Mathematics
1 answer:
nikitadnepr [17]1 year ago
6 0

If we double the dimension the volume will be increased by 8 times, and the volume will be 1920 cubic m.

<h3>What is the Volume of a rectangular prism?</h3>

The Volume of rectangular prism = l×b×h

The volume of a prism,

V = L x B x H

V = 4 x 6 x 10

V = 240

When all the dimensions are doubled, the new volume will become

V1 =2L x 2B x 2H

V1 = 8(4 x 6 x 10)

V1 = 8(240)

V1 = 1920 cubic m

If we double the dimension the volume will be increased by 8 times, and the volume will be 1920 cubic m.

For more details about rectangular prism, refer to the link given below:

brainly.com/question/8890154

#SPJ1

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Answer:

w is greater than or equal to 358

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2 years ago
ASAP GUYS PLEASE I NEED UR HELP THIS IS SO HARD<br> Solve: 5 − 7 ( z + 1 ) = 7 ( − 9 − 3 z )
pantera1 [17]

Answer:

-\frac{61}{14}

Step-by-step explanation:

Question: 5 - 7(z+1) = 7(-9-3z)

We multiply the number in front of the bracket first, since that is multiplication.

--> 5 -7z -7 = -63 - 21z

--> -7z -2 = -63 - 21z

Now, we move all the z and all the numbers to each side.

--> -7z +21z = -63 +2

--> 14z = -61

--> z = -61/14

This cannot be simplified further, so z is -61/14.

6 0
1 year ago
Read 2 more answers
What is the equation of a line perpendicular to:
Nataly [62]

Step-by-step explanation:

"perpendicular" means it creates a right angle (90°) with the original line.

a key element is the slope (the incline) of the line.

it is the factor of x (here 1/4 for the original line) and is defined as the ratio of "y coordinate change / x coordinate change" when going from one point on the line to another.

the given slope of 1/4 means that for every increase in x by 4 units y increases by 1 unit.

now if you want to draw a few random lines, and then draw lines that cross them with a right angle, you will see very quickly the relationship of the slopes of the crossing lines :

for the slope of the perpendicular line x and y of the original slope trade places (the ratio turns "upside-down") and the sign of the slope flips (if the original line goes up, then the perpendicular line goes down and vice versa. so + turns into -, and - into +).

so, our original slope 1/4 turns into -4/1 = -4.

we still have infinite possibilities to draw such a perpendicular line (more up or more down on the coordinate grid).

to finally "nail" one particular line we need to use the given point and solve for the y-intercept.

the general slope-intercept form is

y = ax + b

a is the slope, b is the y-intercept (the y value for x = 0).

so, using the slope (-4) and the point (2, 5) we have

5 = -4×2 + b = -8 + b

13 = b

so, the full equation is

y = -4x + 13

7 0
2 years ago
According to The Wedding Report, Inc., the mean cost for a wedding in the United States is $28732 (as of November 2008). Suppose
Stella [2.4K]

Answer:

Following are the solution to the given points:

Step-by-step explanation:

X = \text{cost of wedding}\sim \text{Normal}\ (\mu = 28732, \sigma= 1500)\\\\

For point a:

Probability\ = 0.00000359\\\\ \text{(Using Excel function:} =NORMDIST(22000,28732,1500,1)).

For point b:

Probability \ = 0.014678\\\\\text{(Using Excel function:} =1-NORMDIST(32000,28732,1500,1))\\\\

For point c:

Probability\ = 0.794614436 \\\\

\text{(Using Excel function:} \\=NORMDIST (30000,28732,1500,1)-NORMDIST(25000,28732,1500,1))\\\\

For point d:

Q_1 = 27720.26537 \\\\\text{(Using Excel function:} =NORMINV(0.25,28732,1500)) \\\\Q_3 = 29743.73463 \\\\\text{(Using Excel function:} =NORMINV(0.75,28732,1500)).

For point e:

IQR = Q_3 - Q_1 = 29743.73463 - 27720.26537 = 2023.469251.

For point f:

Top\  10\% = 30654.32735 \\\\\text{(Using Excel function:} =NORMINV(0.9,28732,1500)).

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2 years ago
A 2 pound bottle of barbeque sauce cost $22.08.what is the price per ounce ?
beks73 [17]

The answer is $0.69. This is because there are 32 ounces in the bottle, and $22.08/32=0.69, or $0.69.

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