Answer:
Step-by-step explanation:
From the problem statement, we can setup the following equations:
where is the current age of Shobos and is the current age of his mother.
Substituting the first equation into the second will allow us to solve for :
Substituting this value into the first equation gives us the age of the mother:
Answer:
They both have area 4
Step-by-step explanation:
Area of the square:
Area of the triangle:
Using the left-side of the triangle as the base, and the height from the left-side to the bottom-right corner:
We know the length of the diagonal is as we are using a centimetre grid, so we can create an isosceles triangle with side lengths 1 and our unknown length, we can then use Pythagorean Theorem to work out our unknown side length.
Answer:
sub to stabillix on yt
Step-by-step explanation:
Answer:
The new volume is 14,850cm³
Step-by-step explanation:
Given
Volume of a rectangular prism = 550cm
Required
Value of volume when the dimensions are tripled.
The volume of a rectangular prism is calculated using the following formula.
V = lbh
<em>When Volume = 550, the formula is written as follows</em>
550 = lbh
<em>Rearrange</em>
lbh = 550
However, when each dimension is tripled.
This means that,
new length = 3 * old length
new breadth = 3 * old breadth
new height = 3 * old height
<em>Let L, B and H represent the new length, new breadth and new height respectively</em>
In other words,
L = 3l
B = 3b
H = 3h
Calculating new volume
New volume = LBH
Substitute, 3l for L, 3b for B and 3h for H;
V = 3l * 3b * 3h
V = 3 * l * 3 * b * 3 * h
V = 3 * 3 * 3 * l*b*h
V = 27 * lbh
Recall that lbh = 550
So,
V = 27 * 550
V = 14,850
Hence, the new volume is 14,850cm³
The movie should be 2 hours and 15 minutes long.