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Pavel [41]
3 years ago
15

The volume of a rectangular prism is 1,512 ft. If the dimensions are cut in half, what will be the volume of the new prism?

Mathematics
1 answer:
aniked [119]3 years ago
7 0

Answer:

  A.  189 ft³

Step-by-step explanation:

If the volume of the original prism is ...

  V = LWH

then the volume of the smaller one will be ...

  v = (L/2)(W/2)(H/2) = LWH/8 = V/8

The smaller prism will have a volume of ...

  1512 ft³/8 = 189 ft³

_____

As you can see from the above, the scale factor for volume is the cube of the scale factor for the linear dimensions: (1/2)³ = 1/8.

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Write an expression for the slope of the line in the graph using the letters u,v,s, and t.
serious [3.7K]

Answer:

We conclude that the slope between (s, t) and (u, v):

  • slope = [v - t] / [u - s]

Step-by-step explanation:

We can find the slope between two points (x₁, y₁) and (x₂, y₂) using the formula

slope =  [y₂ - y₁] / [x₂ - x₁]

In our case, the two points are

(x₁, y₁) = (s, t)

(x₂, y₂) = (u, v)

Thus, the slope between (s, t) and (u, v)

slope = [v - t] / [u - s]

Therefore, we conclude that the slope between (s, t) and (u, v):

  • slope = [v - t] / [u - s]
6 0
3 years ago
Find an equation for the line perpendicular to y=−1/7x+2 with x-intercept at x = -7.
professor190 [17]

Answer:

y=7x+49

Step-by-step explanation:

To find the slope of a line which is perpendicular to another line, you need to find the opposite reciprocal of the first line's slope.

To find the opposite, flip the slope's sign. Your original slope is -\frac{1}{7}, so your opposite slope is positive \frac{1}{7}.

To find the reciprocal, flip the fraction. This changes your slope from \frac{1}{7} to \frac{7}{1}, which may be written as just 7.

Therefore, your slope is 7.

To find your b term (your y-intercept) given that your x-intercept is -7, you can make use of point-slope form.

y-y1=m(x-x1)

<em>(m=slope)</em>

If your x-intercept is -7, then the point at which your line intersects the x-axis is (-7, 0).

y-0=7(x-(-7))\\y=7(x+7)\\y=7x+49

5 0
4 years ago
5-8|-2x|=-80<br><br> Blank 1: ?<br> Blank 2: ?
denpristay [2]

Answer:

x=\frac{85}{16}, x=-\frac{85}{16}

Step-by-step explanation:

Hi there!

We are given the absolute value equation:

5-8|-2x|=-80

We want to solve it for x

First, let's make sure that ONLY the absolute value equation is on the left side

So subtract 5 from both sides

-8|-2x|=-85

Now divide both sides by -8

|-2x|=85/8

Now, for an absolute value equation, we can split it up into two parts, as |x| can be equal to both x and -x

In this case, |-2x| can equal to 85/8, but it can also equal -85/8

That's why for absolute value, there are always 2 cases

For the first case, if |-2x| is equal to 85/8:

Note: we open up the absolute value when we are solving a case, as it is one of the possiblities that can happen for the equation. So it would be true.

-2x=85/8

Divide both sides by -2

x=-85/16

In the second case, if -2x is equal to -85/8:

-2x=-85/8

Divide both sides by -2

x=85/16

So the answers are x=\frac{85}{16}, x=-\frac{85}{16}

Hope this helps!

4 0
3 years ago
WHY is the work they give us online harder than the work we get at school? SOMEBODY PLEASE HELP :(
Dmitry_Shevchenko [17]

Answer:

First question

Circle A:

Radius:2.5 Diameter: 5 Circumference:15.71

Circle B:

Radius:12 Diameter:24 Circumference:75.4

Circle C:

Radius:32 Diameter:64 Circumference:201.06

Circle D:

Radius:42 Diameter:84 Circumference:263.89

Second one:

without Pi

1:81.68

2:37.7

3:263.89

with pi

1:26π

2:12π

3:84π

sorry, i have to keep looking back at the photo

for the last question i will be solving ok

8 0
4 years ago
6.
vova2212 [387]

Answer: I do think the answer is C

Step-by-step explanation: I agree with your choice.

7 0
3 years ago
Read 2 more answers
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