Answer:
84cm^2
Step-by-step explanation:
P=2l+2w
We are given,
P=40cm
l=2w+2
Plug these into the first formula and solve for the dimensions,
length and width, of the rectangle:
40=2(2w+2)+2w Simplify
40=4w+4+2w
40=6w+4
36=6w
6=w OR the width is 6cm, therefore,
the length is
l=2(6)+2
l=14cm
To calculate the area of a rectangle, A=lw,
plug the length,14cm, and the width, 6cm, into this formula
A=(14)(6)
A=84cm2 OR the area of the rectangle is 84cm^2
X+9-3≤14
Add 3 to the other side. (do the inverse of subtraction)
x+9≤17
Subtract 9 on both sides. (the inverse of addition)
x≤8
I hope this helps!
~kaikers
The answer is y= 3/4x - 4.
Answer:
y = $100 + $25x
Step-by-step explanation:
y is the total cost
x is the number of months
The sign up fee is $100.
Each month would cost an additional $25 per month.
The total cost then would be the sign up fee plus the $25 for each month. Since we do not know the number of months, we will assign x.
So the equation would be:
y = $100 + $25x
Answer:
Height = 8 meters
Step-by-step explanation:
Given that
The volume V = 209 cubic meters Diameter = 10 meters
Radius r = 5 metres
How tall is the shed? The question is looking for the height of the cone
Using the formula for volume of a cone.
V = 1/3πr^2h
Where π = 3.14
209 = 1/3 × 3.14 × 5^2 ×h
209 = 3.14/3 × 25h
209 = 78.5h/3
h = 7.99 meters
h = 8 meters
Therefore, the shed is 8 meters tall.