The correct question is
<span>A cylinder has a volume of 320 pi in</span>³<span>. and a height of 5". Find the radius of the cylinder</span>
we know that
[volume of a cylinder]=pi*r²*h----> r²=volume/(pi*h)
r=√[volume/(pi*h)]
volume=320*pi in³
h=5 in
so
r=√[320*pi/(pi*5)]--------> r=8 in
the answer is
8 in
Answer:
AP= 12
Step-by-step explanation:
Here is the complete question: If the length of AB=12, what is the length of AP? picture attached.
Given: AB= 12
∠APB= 60°
Remember; sum of all angle of triangle is equal to 180°.
We can look at picture, where two side of triangle is radius of circle.
∴ Angle of two side will also be same for the isosceles triangle.
Lets assume the unknow angle of the triangle be "x".
Now, 
⇒ 2x+60= 180
subtracting both side by 60
⇒ 
∴ 
As now we have all the angle of triangle is 60° (equilateral triangle)
∴ All the side will be same, which is 12
Hence, AP= 12.
Answer:
4 hours
Step-by-step explanation:
Write an equation
19 +1.5x < 15+2.75x
Subtarct 15 on both sides
4+1.5x<2.75x
subtract 1.5x on both sides
4< 1.25x
Divide 1.25 on each side
3.2<X
Since they on,y charge per hour so 4 hours
Answer:
A strong correlation
Step-by-step explanation:
The closer the correlation coefficient is to the number 1 the stronger the correlation is.
Let us assume the larger number = x
Let us assume the smaller number = y
Then
x + y = 3 3/4
x + y = 15/4
And
x/3 = (2y/3) + 1/2
x = [3 * (2y/3)] + (3/2)
= 2y + (3/2)
Now putting the value of x from the second equation to the first , we get
x + y = 15/4
2y + (3/2) + y = 15/4
3y = (15/4) - (3/2)
3y = (15 - 6)/4
3y * 4 = 9
12y = 9
y = 9/12
= 3/4
Now putting the value of y in the first equation, we get
x + y = 15/4
x + (3/4) = (15/4)
x = (15/4) - (3/4)
= (15 - 3)/4
= 12/4
= 3
So the value of x or the larger number is 3 and the value of y or the smaller number is 3/4.
