Answer:
a. 61.92 in²
b. 21.396 ≈ 21.4%
c. $4.71
Step-by-step explanation:
a. Amount of waste = area of rectangular piece of stock - area of two identical circles cut out
Area of rectangular piece of stock = 24 in × 12 in = 288 in²
Area of the two circles = 2(πr²)
Use 3.14 as π
radius = ½*12 = 6
Area of two circles = 2(3.14*6²) = 226.08 in²
Amount of waste = 288 - 226.08 = 61.92 in²
b. % of the original stock wasted = amount of waste ÷ original stock × 100
= 61.92/288 × 100 = 6,162/288 = 21.396 ≈ 21.4%
c. 288 in² of the piece of stock costs $12.00,
Each cut-out circle of 113.04 in² (226.08/2) will cost = (12*113.04)/288
= 1,356.48/288 = $4.71.
Answer:
will be inequality which shows the times there will be more than 10 gallons in the barrel.
Step-by-step explanation:
To determine:
Write an inequality showing the times there will be more than 10 gallons in the barrel.
Information Fetching and Solution Steps:
- Skylar is filling a barrel with water.
- The graph shows the relationship between time in minutes and the gallons of water in the barrel.
As the questions asks to determine the inequality showing the times there will be more than 10 gallons in the barrel.
For inequalities with 'more than', we use the 'greater than' symbol.
The graph shows that at time 15 minutes, the number of gallons of water is being shown as 10. As we have to determine the inequality for the time there will be more than 10 gallons in the barrel. So, time must be greater than 15 when there will be more than 10 gallons in the barrel.
If time is represented by 't', then the inequality showing the times there will be more than 10 gallons in the barrel will be:
Therefore, will be inequality which shows the times there will be more than 10 gallons in the barrel.
Answer:
6 inches
Step-by-step explanation:
The volume of a triangular pyramid can be found using
v=1/3bh
where b is the area of the base, and h is the height
We know the volume is 12, so let's find the area of the base
The area of a triangle can be found using:
a=bh/2
We know the base is 4, and the the height is 3, so we can substitute them in
a=4*3/2
a=12/2
a=6
Now, we can solve for the height
v=1/3bh
Substitute 12 in for v, and 6 in for b
12=1/3(6h)
Multiply both sides by 3
3*12=1/3(6h)*3
36=6h
Divide both sides by 6
h=6
The height is 6 inches
Answer:
It can not be proved, so the last option
Step-by-step explanation:
Because there are no two angles in one triangle so it's not AAS or ASA. And there are no two sides so it's not SAS either.
