Answer: 17 cm
Step-by-step explanation:
For a regular figure where the area of the base is B, and the height is H, the volume is calculated as:
V = B*H
Here we know that the base of the prism is B = 3 cm^2, and the volume of the prism is 51 cm^3
Then:
B = 3cm^2
V = 51cm^3
If we replace those in the equation above, we get:
51 cm^3 = (3cm^2)*H
Solving this for H gives:
(51 cm^3)/(3 cm^2) = H = 17 cm
The height of the tubing is 17 cm
Answer:
5×14×14×4=3,920 cm
Step-by-step explanation:
Multiply all numbers to find the area.
Answer:
1/4
Step-by-step explanation:
4 classes, each class gets one spot!
Answer:
Step-by-step explanation:
Start by writing the system down, I will use
to represent 

Substitute the fact that
into the first equation to get,

Simplify into a quadratic form (
),

Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,

which then must factor into

And the solutions will be
.
Clearly for small coefficients like ours
, this is very easy to figure out. To get 5 and 6 we simply say that
.
This fits the definition as
and
.
So as mentioned, solutions will equal to
but these are just x-values in the solution pairs of a form
.
To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.
So the solution pairs are
and
.
Hope this helps :)