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IRISSAK [1]
3 years ago
13

list as many combinations of three dimensions you can come up with that would give you a volume if 1536 cubic feet.

Mathematics
1 answer:
Monica [59]3 years ago
6 0

Answer:

1.) Length = 8ft, width = 8ft, height = 24ft

2.) Length = 8ft, width = 16ft, height = 12ft

3.) Length = 8ft, width = 24ft, height = 8ft

4.) Length = 8ft, width = 32ft, height = 6ft

5.) Length = 6ft, width = 8ft, height = 32ft

6.) Length = 16ft, width = 4ft, height = 24ft

7) Length = 12ft, width = 8ft, height = 16ft

8.) Length = 2ft, width = 64ft, height = 12ft

9.) Length = 48ft, width = 16ft, height = 2ft

Step-by-step explanation:

To obtain a volume of 1536 cubic feet:

This means Length × width × Height equals 1536ft^3

1.) Length = 8ft, width = 8ft, height = 24ft

2.) Length = 8ft, width = 16ft, height = 12ft

3.) Length = 8ft, width = 24ft, height = 8ft

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The can make 513. that is at a rate of 27bagels/ hour
8 0
3 years ago
Y=-1/2x +7
yarga [219]

Answer:

B; (2,-4)

Step-by-step explanation:

The general equation of a straight line is;

y = mx + b

where m is the slope and b is the y-intercept

So from the question, when we look at the given equation, its slope is -1/2

mathematically, when two lines are perpendicular, the product of their slopes is -1

thus;

m1 * m2 = -1

m2 * -1/2 = -1

-m2 = -2

m2 = 2

The general equation form is;

y-y1 = m(x-x1)

where (x1,y1) = (4,0)

y-0 = 2(x-4)

y = 2x - 8

So, now we look at the point that will work for this equation

For the line that will work, if we substitute its x-value, we get the y-value

Let us take a look at option B

y = 2(2) -8 = 4-8 = -4

we can see that (2,-4) works

4 0
3 years ago
Obtain the general solution to the equation. (x^2+10) + xy = 4x=0 The general solution is y(x) = ignoring lost solutions, if any
alukav5142 [94]

Answer:

y(x)=4+\frac{C}{\sqrt{x^2+10}}

Step-by-step explanation:

We are given that a differential equation

(x^2+10)y'+xy-4x=0

We have to find the general solution of given differential equation

y'+\frac{x}{x^2+10}y-\frac{4x}{x^2+10}=0

y'+\frac{x}{x^2+10}y=4\frac{x}{x^2+10}

Compare with

y'+P(x) y=Q(x)

We get

P(x)=\frac{x}{x^2+10}

Q(x)=\frac{4x}{x^2+10}

I.F=e^{\int\frac{x}{x^2+10} dx}=e^{\frac{1}{2}ln(x^2+10)}

e^{ln\sqrt(x^2+10)}=\sqrt{x^2+10}

y\cdot \sqrt{x^2+10}=\int \frac{4x}{x^2+10}\times \sqrt{x^2+10} dx+C

y\cdot \sqrt{x^2+10}=\int \frac{4x}{\sqrt{x^2+10}}+C

y\cdot \sqrt{x^2+10}=4\sqrt{x^2+10}+C

y(x)=4+\frac{C}{\sqrt{x^2+10}}

6 0
3 years ago
What is true about a figure dilated by a scale factor of 1
motikmotik
Just something that is true or are there choices? If just something true then dialated by 1 is always the same as the original shape.
4 0
3 years ago
You have a new pool and want to know it's volume. The pool is 5 feet deep and has a radius of 7 feet. About how much water can t
MrRa [10]

Answer:

769 cubic ft

Step-by-step explanation:

Its volume:

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The basic formula for his volume is V = πr²h.  In this case, the volume is:

V = 3.14(7 ft)²(5 ft) = 769 cubic feet of water.

3 0
3 years ago
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