Mathematics Middle School

In the rectangular prism below, the length of MR is 9 feet, the length of RS is 12 feet, and the length of ST is 5 feet. What is the length of the line segment drawn from point T to point M?
*Note: Figure not drawn to scale.
a
16 feet

b
5√10 feet

c
250 feet

d
5√5 feet

In The Rectangular Prism Below, The Length Of MR Is 9 Feet, The Length Of RS Is 12 Feet, And The Length

Answers

Answer 1

Answer:

[tex]5\sqrt{10}[/tex] feet

Step-by-step explanation:

Find RT:

RS = 12 and ST= 5, RT =?

Use the Pythagorean Theorem

[tex]12^{2} + 5^{2} = RT^{2}[/tex]

[tex]144 + 25 = RT^{2}[/tex]

[tex]\sqrt{169} =RT[/tex]

13 = RT

Find MT:

RT = 13 and MR= 9, MT=?

[tex]13^{2} +9^{2}= MT^{2}[/tex]

[tex]169 + 81 = MT^{2}[/tex]

[tex]\sqrt{250} = MT[/tex]

[tex]5\sqrt{10}[/tex] = MT

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First start off by doing 6% of 50 which is 3, add it to the total making 53. Then you do 15% of 53 which is 7.95 making your total $60.95
Pretty sure it’s $60.50

A hexagonal pyramid has a volume of 144 cubic millimeters and a height of 4 millimeters. What is the area of the base of the pyramid? (Hint: Label the parts you know. Draw a picture if necessary)
This is confusing T^T

Answers

Answer:

The area of the base of the pyramid is 109.2 mm.

Step-by-step explanation:

The area of the base of a hexagonal pyramid is given by the area of a hexagon:

[tex] A_{b} = \frac{P*a}{2} [/tex]  

Where:

P: is the perimeter

a: is the apothem

We need to find the perimeter and the apothem.

The perimeter is equal to:  

[tex] P = 6*s [/tex]

Where:

s: is the side of the pyramid

And the apothem is:

[tex] a = \frac{\sqrt{3}}{2}*s [/tex]

So, to calculate the apothem and the perimeter we need to calculate the side of the pyramid. We can find it from the volume of the pyramid:

[tex] V = \frac{\sqrt{3}}{2}*h*s^{2} [/tex]  

Where:

h: is the height = 4 mm  

V: is the volume = 144 mm³                                  

Then, the side is:  

[tex] s = \sqrt{\frac{2V}{\sqrt{3}*h}} = \sqrt{\frac{2*144}{\sqrt{3}*4}} = 6.5 mm [/tex]

Now, we can find the perimeter and the apothem.

[tex] a = \frac{\sqrt{3}}{2}*s = \frac{\sqrt{3}}{2}*6.5 = 5.6 mm [/tex]

[tex] P = 6*s = 6*6.5 = 39 mm [/tex]

Finally, the area is:

[tex] A_{b} = \frac{P*a}{2} = \frac{39*5.6}{2} = 109.2 mm^{2} [/tex]

Therefore, the area of the base of the pyramid is around 109 mm.

I hope it helps you!

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Answers

20% of 71 is 14.20
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hope this helps

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Answers

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Answer:

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Answers

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Step-by-step explanation:

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Answers

Advantages : Graph can be created proportionally to the quantity it needs to represent

Disadvantages: Doesn't reveal exact values

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A.

perimeter of a square × 4 = length of its sides

B.

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C.

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D.

perimeter of a square = 4 × length of its sides

E.

perimeter of a square × 4 = 4 + length of its sides

Answers

i think its C because
A
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Hope this helps have great day

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Answers

The answer is A. 192 lbs

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Which triangle represents the rotation of Triangle GHK?

Answers

Answer:  I learned this a few months ago so I know the answer

Hope this was useful if so please brainliest :)

Step-by-step explanation:

C because you said rotation not flipped or slid or change of size

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add the numbers they equal 30 then u divide 30 by 2 since it’s an odd number and you get 15. so 15 is your answer
15 is the correct answer
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Answers

24 miles, just divide 3 by .25 and multiply the quotient (12) by 2

Answer:

miles 24

Step-by-step explanation:

Divide and  multiply

please answer correctly. I need this right now <3

Answers

U literally do 9•5.....

ok can someone please help with these two
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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

√4

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Answer:

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Step-by-step explanation:

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Answers

Answer:

108 is the answer and there is no explanation for this. Youc can directly multiply it.

Answer:

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Step-by-step explanation:

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a(b + c)

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

not really, if at one point he was bleeding a little, he still should have done something about it instead of continuing and risking contaminating whatever it was

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

what i don't understand

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

-so so sorry if this is wrong or if it is not the answer you needed !

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Answers

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Answer:

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