Answer:
Area = 960 cm^2
Step-by-step explanation:
Perimeter (P) = 2 (l + w)
P = 2l + 2w
Let the length be 5x
Let the width be 3x
From the question, P = 128.
Therefore:
128 = 2l + 2w
Divide both sides by 2.
l + w = 64
Recall we said:
l = 5x
w = 3x
So then:
5x + 3x = 64
8x = 64
Divide both sides by 8
x = 64/8
x = 8.
Since x = 8
Length = 5x = 5*8 = 40cm
Width =3x = 3 * 8 = 24cm
Area of a RECTANGLE:
Area = length * width
Area = 40 * 24
Area = 960 cm^2
Answer:

Step-by-step explanation:
To solve this problem we first need to find the diameter of the circle. We are told the point
is the circle, so we can assume it is the center of the circle. To find the diameter we can use the Pythagorean Theorem:

The diameter is
units, which means the radius is
. From here we can calculate the area of the circle:

Now we need to subtract the area of the triangle from the area of the circle. Calculate the area of the triangle:

Subtract the triangle area from the circle area to get the area of the shaded area:

There are 5 shelves in the bookcase.
2/5 of one shelve is occupied.
That would be:
2/5*1/5=2/25 of all shelves
7/2 is more than 1, so it refers to the bookcase instead
of one shelve. The same with 11/10.
So the total is:
2/5+7/2+11/10 = 5
So all shelves are completely full.
So there is no room for any other book.
Answer:
2080
Step-by-step explanation:
The solution to these equations might best be found using Cramer's Rule. It tells you ...
x = (56939×3 -41655×2)/(-236×3 +838×2) = 87507/968 ≈ 90.400
This is years after 1990, so the year the incomes become the same is predicted to be ...
1990 +90.4 = 2080.4
The median incomes will be the same in the year 2080.