Answer:
86.5 square inches
Step-by-step explanation:
Area of circle: pi*r^2
10.5in /2= 5.25in
5.25^2=27.5625
27.5625*3.14=86.54625
rounded 86.5 in
Answer:
x=3
Step-by-step explanation:
Simplifying
4(4x + -3) = 36
Reorder the terms:
4(-3 + 4x) = 36
(-3 * 4 + 4x * 4) = 36
(-12 + 16x) = 36
Solving
-12 + 16x = 36
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + 16x = 36 + 12
Combine like terms: -12 + 12 = 0
0 + 16x = 36 + 12
16x = 36 + 12
Combine like terms: 36 + 12 = 48
16x = 48
Divide each side by '16'.
x = 3
Simplifying
x = 3
Answer: About 45.
Step-by-step explanation: There's always a pattern in these kinds of questions, you can see for 9th to 13th August, the number has always been between 20 to 40. And since on 13th August the graph is on a rise again, it would be around 45. 90 is just not realistic considering there's only an increase of around 5-10 tickets every day.
Answer:
4
Step-by-step explanation:
Let the lengths of the sides of the rectangle be x and y. Then A(Area) = xy and 2(x+y)=300. You can use substitution to make one equation that gives A in terms of either x or y instead of both.
2(x+y) = 300
x+y = 150
y = 150-x
A=x(150-x) <--(substitution)
The resulting equation is a quadratic equation that is concave down, so it has an absolute maximum. The x value of this maximum is going to be halfway between the zeroes of the function. The zeroes of the function can be found by setting A equal to 0:
0=x(150-x)
x=0, 150
So halfway between the zeroes is 75. Plug this into the quadratic equation to find the maximum area.
A=75(150-75)
A=75*75
A=5625
So the maximum area that can be enclosed is 5625 square feet.
