Answer:
60 ft²
Step-by-step explanation:
You can divide the figure into 2 parts.
First, solve for the rectangle: Area of a rectangle = b*h = 4ft x 10ft = 40ft²
Then, solve for the triangle:
Height = 10ft - 5ft = 5ft
Base = 12ft - 4ft = 8ft
Area of a triangle = (b*h)/2 = (5ft x 8ft)/2 = 20ft²
Just add them together: 20ft² + 40ft² = 60ft²
:)
Answer:
The cost of one cup of hot chocolate is $4.50
Step-by-step explanation:
Let
x ----> the cost of one cup of hot chocolate
y ----> the cost of one cup of hot tea
we know that
3x+4y=25.50 ------> equation A
y=(2/3)x -----> equation B
Solve the system of equations by substitution
substitute equation B in equation A and solve for x
3x+4(2/3)x=25.50
3x+(8/3)x=25.50
(17/3)x=25.50
x=25.50*3/17
x=$4.50
therefore
The cost of one cup of hot chocolate is $4.50
Answer:
1/5
Step-by-step explanation:
The only options are 5 and 10. That means your odds are 2/10 which equals 1/5
If

, then either

or

is contained entirely in

.
In the first case, we get

.
In the second case, we have

, or

. The LHS must be between 0 and 1, and this can only occur as long as

.