The volume given is 3Pi(x^3) and the radius is x.
The formula for the volume of a cone is V= [1/3]Pi(r^2)*height
=> [1/3]Pi (r^2) x = 3Pi(x^3) =>
(r^2)x = 3*3(x^3) => (r^2)x = 9(x^3) => (r^2) = 9x^2 =>
r = sqrt[9x^2] = 3x.
<span>Answer: r = 3x</span>
Answer:
Option 1:(x-4)^2+y^2=100
Step-by-step explanation:
Given center = (h,k) = (4,0)
The point (-2,8) lies on circle which means the distance between the point and center will be equal to the radius.
So,
The distance formula will be used:
Hence radius is 10.
The standard form of equation of circle is:
(x-h)^2+(y-k)^2 = r^2
Putting the values
(x-4)^2+(y-0)^2=10^2
(x-4)^2+y^2=100
Hence option 1 is correct ..
I believe the correct answers are:
<span>UV = 14 ft and m∠TUV = 45°</span>
<span>ST = 20 ft, UV = 14 ft, and m∠UST = 98°
Or, in other words, Options A and D.
</span>
The percent change from one period to another is calculated from the formula:
<span><span> Where:<span>PR = Percent Rate
VPresent = Present or Future Value
VPast = Past or Present Value</span></span><span>The annual percentage growth rate is simply the percent growth divided by N, the number of years.</span>
(415.79-200)/200*100=107.89
The annual<span> percentage growth rate is simply the percent growth divided by N, the number of years.</span>
<span>
</span><span>107.89/15=7.193</span>
</span>
<span>In a baseball season:
Peter hit = 2 (x - 6)
Total = 19 hits
X= Alex’s hit
Y = Peter’s Hit
=> Y = 2(x - 6)
=> x + y = 18
Let’s start from the second given equation:
=> x + y =18
=> y = 18 – x
Now, let’s use the first given equation to solve:
=> 18 – x = 2 (x - 6)
=> 18 – x = 2x – 12
=> -3x = -30
x = 10
Now, Let’s try:
=> Y = 2(x - 6)
=> y = 2 (10 - 6)
=> y = 2 (4)
=> y = 8
Thus, Peter hit 8 and Alice hit 10.</span>
