Answer:
The new volume of an enlarged tank is 4000m³
Step-by-step explanation:
The scale factor has to be multiplied by the width, length and height so we will have to multiply it 3 times
h * w * l = 32 m³
(h*5) * (w*5) * (l*5)
if we rearrange the multiplications
(h * w * l) * 5 *5 * 5 =
v * 5 * 5 * 5 =
32m³ * 5 *5 *5 = 4000m³
Answer:
x = 75 m
Step-by-step explanation:
This is a problem of similar triangles solved using proportions.
In similar triangles, corresponding side lengths are proportional.
Here the small and large triangles are similar because the have all three angles congruent.
By proportions, identifying corresponding sides,
x/45 = 50/30
solve for x
x = 45*(50/30) = 75 m
A=3,500×(1+0.03÷2)^(2×20)
A=6,349.06
Answer:
Graph y = 2x
Step-by-step explanation:
First, let's get the equation into standard form. Distribute the 2 on the right.

Next, we want the variable "y" to be alone, so we at 4 to both sides.

That is our equation in standard y = mx + b form. "m" is our slope, while "b" is our y-intercept. Above , we don't have a value for b, therefore the line passes through the origin.
We do, however, have a slope, which can be thought of as
or rise over run. To represent this, we can rewrite our slope as:

Meaning in each interval, the line goes up by 2 units, and moves forward by 1.
150 lbs on Earth is equal to 50 pounds on Mars
60 lbs on Earth is equal to _____
Set up a proportion.

Cross multiply.


The person would weigh 20 lbs on Mars.