Answer:
The answer to your question is At = 48 + 36
Step-by-step explanation:
Area = Area of the base + Lateral area
a) Area of the base
Area = length x height / 2
length = 12
height² = 12² - 6²
= 144 - 36
= 108
height = 
= 6
Area = 12 x 6
= 36
b) Lateral area
height² = 10² - 6²
= 100 - 36
= 64
height = 8
Area = 12 x 8/2
= 48
c) Total area
At = 48 + 36
3/9 because it is the same as 1/3 or 2/6.
Answer:
Step-by-step explanation:
x^2
--------------------------------------------------
2x + 1 / 2x^3 - x^2 + x + 1
2x^3 + x^2
-----------------------
0 + x + 1
x + 1
The quotient is x^2 + ------------
2x + 1
Answer:
Part A) 25
Part B) 225
Step-by-step explanation:
Part A
The slope of the graph gives us the mile per gallon of the car.
Recall that the slope of the graph is rise over run.
Therefore car gets 25 miles per gallon
Part B) Since we know the slope of the direct variation line, we substitute into y=kx to get:
To find the number of miles the car travels using 9 gallons, we substitute x=9 to get:
This gives us 225 miles
Answer:
The cost of each ice cream cone is $4.50
The cost of each ice cream basket is $3.75
The cost of each donut is $1.50
Step-by-step explanation:
Let
x-----> the cost of the ice cream cone
y----> the cost of the ice cream basket
z---> the cost of the donut
we know that
2x+y=12.75 ------> y=12.75-2x ------> equation A
x+2z=7.50 ------> z=(7.50-x)/2 -----> equation B
x+y+z=9.75 ----> equation C
substitute equation A and equation B in equation C and solve for x
x+(12.75-2x)+((7.50-x)/2)=9.75
Multiply by 2 both sides
2x+25.50-4x+7.50-x=19.50
3x=25.50+7.5-19.50
3x=13.5
x=$4.50
Find the value of y
y=12.75-2(4.50)=$3.75
Find the value of z
z=(7.50-4.50)/2=$1.50
therefore
The cost of each ice cream cone is $4.50
The cost of each ice cream basket is $3.75
The cost of each donut is $1.50
