Circumference is <span>πd</span> where d is the diameter. You can derive this to isolate diameter by dividing both sides by π.
<span>D=<span>Cπ</span></span>. Now just plug the numbers for your variables.
<span>D=<span>75.363.14</span></span>
<span>D=24</span>
The diameter is 24 yards.
Answer:
(b) There are 7 gallons left in the tank after 4 minuted
Step-by-step explanation:
Given
time since water began draining
gallons in the tank
Solving (a): Notation for gallons remaining at 4 minutes
This means that
becomes
Solving (b): Interpret f(4) = 7
We have:
time since water began draining
gallons in the tank
This means that:
It can be interpreted as:
There are 7 gallons left in the tank after 4 minuted
20% is also 20/100 or 1/5. 1/5 * 135 = 135/5 = $27.
7Answer: 7 1/15 miles ran on Tuesday
Step-by-step explanation:
Answer and explanation:
Given : A rectangular frame of uniform depth for a shadow box is to be made from a 36-in. piece of wood.
To find :
a) Write a function to represent the display area in terms of x.
The perimeter of the box is 36 inches.
Let x and y be the length and width of the box.
So,
....(1)
The area of the box is
Substitute y from (1),
The function in terms of x,
b. What dimensions should be used to maximize the display area?
As A is a quadratic function with a negative leading coefficient.
The vertex is the maximum point on the function.
So, the x-coordinate of the vertex is the value of x that will maximize the area.
Here, a=-1 and b=18
Substitute in (1),
The dimension 9 in. by 9 in. should be used maximize the display area.
c) What is the maximum area?
Substitute the value of x in the area,
The maximum area is 81 square inches.