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kramer
2 years ago
14

Please help! It's homework!

Mathematics
1 answer:
bearhunter [10]2 years ago
6 0
Answer:

Can’t see clearly
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The volume of the rectangular prism is 648 feet. The rectangular base is 6 feet by 9 feet. What is the height of the prism?
IrinaK [193]

Answer:

h=12ft

Step-by-step explanation:

The formula one would use for finding the volume of a rectangular prism is as follows:

  • Volume = length × width × height , V=l*w*h

With this in mind, let's plug in the given variables in the question for this formula.

V=648ft^3

l=6ft

w=9ft

h= ?

  • We don't know the height, but that's just fine. We will plug in all our values and isolate h.

V=lwh\\648ft^3=(6ft)(9ft)h

  • I'm leaving in units just because I want to show that units aren't just for show. They can be used when in doubt of how to go about your math.

648ft^3=(6ft)(9ft)h\\648ft^3=(54ft^2)h\\\frac{648ft^3}{54ft^2}=\frac{(54ft^2)h}{54ft^2}

  • Notice, that the units on the left side cancel out, leaving only the unit ft left next to the solution. In the same way, the units on the right side cancel out too, leaving only h, height.

\frac{648ft^3}{54ft^2}=\frac{(54ft^2)h}{54ft^2}\\12ft=h

If involving units only confuses you, like it does for me, you can remove them like so, you just need to know what units your solution uses instead of being able to come to the proper units by using math.

V=lwh\\648=(6)(9)h\\648=54h\\\frac{648}{54}=\frac{54h}{54}\\12ft=h

5 0
3 years ago
The area of triangle PQR is 273 cm. Given that PQ = 12.8cm and PQR = 107°, find QR.​
storchak [24]

\text{Area of triangle} = \dfrac 12 \times PQ \times QR \times  \sin \angle PQR \\\\\\\implies  273= \dfrac 12 \times 12.8 \times QR \times \sin 107^{\circ}\\\\\implies 273 = 6.4 \sin 107^{\circ}  \times QR\\\\\\\implies QR = \dfrac{273}{6.4 \sin 107^{\circ}} = 44. 606~~ \text{cm}

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3 years ago
Suppose f(x) = 3x^2 - 2x... Find f(-4)​
zavuch27 [327]
Let x equal to -4 and substitute into the original function f(x)
f(-4)=56
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3 years ago
To make 1c1/2 dozen muffins, a recipe uses 3 1/2 cups of flour. How many cups of flour are needed for every dozen muffins made?
vazorg [7]
I think it might be 3/7
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3 years ago
Pleases help me!!!!!!!! I need to so 24_ 30!!!! there's 2 photos
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<h2>Step-by-step explanation:</h2><h2><em><u>S</u></em><em><u>O</u></em><em><u>R</u></em><em><u>R</u></em><em><u>Y</u></em><em><u>!</u></em><em><u>!</u></em><em><u>!</u></em></h2>

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