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3 years ago

What is the volume of the box below ?5cm,8cm,10cm

Mathematics

1 answer:

Alecsey [184]3 years ago

5 0

Answer: Hi!

To find the volume of a box (or cube), you multiply length times width times height.

In this case, you have all of the measurements, so all we have to do is multiply them together!

5cm * 8cm * 10cm = 400

So, the volume of this box is 400cm^3!

Hope this helps!

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what is the surface area of a rectangular prism with a hight of seven, length of eleven and a side length of six?

Naddika [18.5K]

Answer:

The answer is 462!!

Step-by-step explanation:

Multiply 7 x 11 x 6 and you will get your answer!!!

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3 years ago

Under what circumstances does the system of equations Qx+Ry=S and Y=Tx+S have infinitely many solutions?

Anettt [7]

From these -Tx+y=S. If -T=Q/R, then y=-Qx/R+S, so Ry=-Qx+RS, Qx+Ry=RS=S.
If R is not equal to 1, or S is non-zero, the equations are inconsistent, so there would be no solutions.
If R=1 there are an infinite number of solutions given by Qx+y=S, or y=S-Qx or y=S+Tx.
If S=0, Qx+Ry=0 or y=-Qx/R or y=Tx.

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3 years ago

A lizard needs to stay a safe distance from a cactus. The diameter of the cactus is 12 inches. If the lizard is 8 inches from a

frez [133]

We will use the Pythagorean theorem:
8² + 12² = c²
64 + 144 = c²
c = √208 ≈ 14.42
14.42 - 12 = 2.42 in
The direct distance between the lizard and the cactus is 2.42 inches.

4 0

3 years ago

Find the angles of a parallelogram in which an exterior angle is one-third that its interior angle.

iogann1982 [59]

Answer:

The angles of a parallelogram are 135°-45°-135°-45°

Step-by-step explanation:

we know that

In a parallelogram opposites angles are congruent and consecutive angles are supplementary

Remember that

The sum of a exterior angle and its interior angle is equal to 180 degrees

Let

x ----> the measure of one interior angle of parallelogram

y ----> the measure of the other interior angle of parallelogram

we have that

$x+\frac{x}{3}=180^o$

solve for x

$\frac{4}{3}x=180^o\\\\x=(180^o)3/4\\\\x=135^o$

<em>Find the measure of the other interior angle of parallelogram</em>

Remember that consecutive interior angles are supplementary

$x+y=180^o$

substitute the value of x

$135^o+y=180^o$

solve for y

$y=45^o$

therefore

The angles of a parallelogram are 135°-45°-135°-45°

3 0

3 years ago

What is the equation of the line of the best fit for the following data? Round to the slope and y-intercept of the line to three

BigorU [14]

Answer:

D. $y=-0.927x+13.634$

Step-by-step explanation:

We graph the points on the graph. The graph is attached.

Let us take two points (1, 14) and (15, 1), and calculate the slope $m$ between them <em>(we choose these points because the line passing through them will be the best fit for all points) </em>

$m=\frac{14-1}{1-15} =\frac{13}{-14} =-0.9286$

Thus we have the equation

$y=-0.9286x+b$

Let us now calculate $b$ from the point $(1,14)$

$14=-0.9286(1)+b$

$b=14.9286$

So the equation we get is

$y=-0.9286x+14.9286$

Let us now turn to the choices given and see which choice is closest to our equation: we see that choice D. $y=-0.927x+13.634$ is the closest one, so we pick it.

4 0

3 years ago

What is the volume of the box below ?5cm,8cm,10cm​

What is the volume of the box below ?5cm,8cm,10cm