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Yakvenalex [24]
3 years ago
10

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!!!

8 0
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.
4 0
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 mbetween 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
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