Answer:
340 square feet
Step-by-step explanation:
If we "unwrap" the painted surface from the shed, it will have the shape shown in the attachment. It is essentially a 40' by 8' rectangle with two 10' wide by 2' high triangles added.
The rectangle area is ...
A = LW = (40 ft)(8 ft) = 320 ft²
The total area of the two triangles is ...
A = 2(1/2)bh = (10 ft)(2 ft) = 20 ft²
Then the painted area is ...
total area = 320 ft² +20 ft²
total area = 340 ft²
Answer:
y=(5/2)x+(-11/2)
Problem: What is the slope-intercept form for a line going through (3,2) and is parallel to y=(5/2)x-5?
Step-by-step explanation:
Parallel lines have the same slope.
The slope-intercept form of a line is y=mx+b where m is the slope and b is the y-intercept. So we see that m=5/2 since that is the slope of y=5/2 x-5.
y=(5/2)x+b
We know (x,y)=(3,2) is a point on the line so replacing x with 3 and y with 2 gives:
2=(5/2)(3)+b
2=(15/2)+b
Subtract 15/2 on both sides:
2-(15/2)=b
Simplify:
(4-15)/2=b
(-11/2)=b
So the equation is:
y=(5/2)x+(-11/2)
A=xy
If there is 10% increase in x then,
New value of x = x + 10%of x =1.1x
similarly for y
New value of y after increase= 1.1 y
New value of A after increase in x and y = 1 .1x × 1.1 y= 1.21xy
now
increase amount in A= New value of A - old value of A
=1.21xy - xy= 0.21xy
percentage increase in A= (0.21xy÷xy )× 100= 21%
Answer:
6
Step-by-step explanation:
Let Nancy's age be represented by n
Because Isabel is 3 times as old as Nancy, her age would be represented by 3n
Sum of their ages = 24
n + 3n = 24
4n = 24
divide both sides of the equation by 4 to determine n
n = 6
