Answer:
44 pi centimeters cubed
Step-by-step explanation:
Since, base radius and height of cone are equal to to that of cylinder. Hence,
Answer:
Father's age is 50, Son's age is 10
Step-by-step explanation:
X+Y=60
X-Y= 40
Let X represent the Father's age while Y represents the Son's age;
therefore, from the two equations, the value of X is
X= 60-Y
X= 40+Y then putting in the value of x
(40+Y) + Y= 60,
40+2Y=60
2Y=60-40 =20
Y= 10,
Now that we know the value of Y, we can get the value of x
If X+Y=60, then
X+10=60,
X=60-10,
X= 50
The function of the length z in meters of the side parallel to the wall is A(z) = z/2(210 - z)
<h3>How to write a function of the length z in meters of the side parallel to the wall?</h3>
The given parameters are:
Perimeter = 210 meters
Let the length parallel to the wall be represented as z and the width be x
So, the perimeter of the fence is
P = 2x + z
This gives
210 = 2x + z
Make x the subject
x = 1/2(210 - z)
The area of the wall is calculated as
A = xz
So, we have
A = 1/2(210 - z) * z
This gives
A = z/2(210 - z)
Rewrite as
A(z) = z/2(210 - z)
Hence, the function of the length z in meters of the side parallel to the wall is A(z) = z/2(210 - z)
Read more about functions at
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PL= sqrt(4^2+12^2)=4sqrt(1+9)=4sqrt(10)
Using similarity gives that AM=4/3.
ML=40/3
[PLMU]=40/3 * 4 = 160/3 (53.33)
Or
PM= sqrt(4^2+16/9)=sqrt(160/9)=4sqrt(10)/3
4sqrt(10)*4sqrt(10)/3=160/3 or approximately 53.33
Answer:
F. (0, 5) and (-4, 2)
Step-by-step explanation:
We need to calculate the slope of each of the given sets of points until we find the set associated with a slope of 3/4:
F. (0,5) and (-4,2) As we go from (-4, 2) to (0,5), x increases by 4 and y increases by 3, so the slope is m = rise / run = 3/4. This is the line with slope 3/4.
