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1 year ago

Which expression can be used to represent the volume of this prism?

Mathematics

2 answers:

lapo4ka [179]1 year ago

8 0

= C .. Because:

volume of rectangular prism = L×W×H

L= 7

w = 8

h = 4

so v = 4×7×8 units^3

VLD [36.1K]1 year ago

8 0

I believe it would be C, in order to solve the volume, you would have to do is length x width x height

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3 years ago

Graph these equations:<br> x + 3y = 6<br> x + 3y = 9

Evgen [1.6K]

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2 years ago

Solve.

mina [271]

$4y+16\ \textgreater \ -8 \
4y\ \textgreater \ -8-16 \\
4y\ \textgreater \ -24 \\
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2 years ago

Read 2 more answers

Please help me with 3.2

Lady_Fox [76]

The measure of the angle ∠PQR is 90 degrees

<h3>How to prove that ∠PQR is 90 degrees?</h3>

The equation of the line PQ is given as:

3x - y - 2 = 0

The coordinates of the QR are given as:

(0, -2) and (6, -4)

Make y the subject in 3x - y - 2 = 0

y = 3x - 2

The slope of the above line is

m1 = 3

Next, we calculate the slope (m2) of points Q and R.

So, we have:

m2 = (y2- y1)/(x2 - x1)

This gives

m2 = (-4 + 2)/(6 - 0)

Evaluate

m2 = -1/3

The slopes of perpendicular lines are opposite reciprocals.

m1 = 3 and m2 = -1/3 are opposite reciprocals.

This means the lines PQ and QR are perpendicular lines.

The angle at the point of perpendicularity is 90 degrees

Hence, the measure of the angle ∠PQR is 90 degrees

Read more about linear equations at:

brainly.com/question/15602982

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1 year ago

You are wakeboarding on a river. You travel 2 miles downstream to a marina for supplies, and then you travel 3 miles upstream to

Zielflug [23.3K]

Let x represent the speed of of boat.

We have been given that the river current is 3 miles per hour.

The speed of boat upstream will be $x-3$ .

The speed of boat downstream would be $x+3$ .

$\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

We have been given that you travel 2 miles downstream to a marina for supplies, and then you travel 3 miles upstream to a dock.

We can represent this information in an equation as:

$\text{Time}=\frac{2}{x+3}+\frac{3}{x-3}$

Since the speed of the boat is 18 miles per hour, so we will substitute $x=18$ in above equation and solve for time.

$\text{Time}=\frac{2}{18+3}+\frac{3}{18-3}$

$\text{Time}=\frac{2}{21}+\frac{3}{15}$

$\text{Time}=\frac{2}{21}+\frac{1}{5}$

$\text{Time}=\frac{2\cdot 5}{21\cdot 5}+\frac{1\cdot 21}{5\cdot 21}$

$\text{Time}=\frac{10}{105}+\frac{21}{105}$

$\text{Time}=\frac{31}{105}$

$\text{Time}=0.295238095$

Since time is in hours, so let us convert our given time in minutes.

1 hour = 60 minutes.

$\text{Time}=0.295238095\times 60\text{ minutes}$

$\text{Time}=17.7142857\text{ minutes}$

Rounding to nearest tenth of minute.

$\text{Time}\approx 17.7\text{ minutes}$

Therefore, it will take approximately 17.7 minutes for the boat to take the trip.

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2 years ago