Answer:
r = 4.417
Step-by-step explanation:
in order to calculate the radius of a sphere
given that
volume of sphere = 361
π = 3.14
radius = ?
recall that the volume of a sphere = 4/3 πr³
361 = 4 /3 × 3.14 × r³
361 = 12.56r³/3
cross multiply
361 × 3 = 12.56r³
1083 = 12.56r³
divide both sides by 12.56
1083/12.56 = 12.56r³/12.56
86.226 = r³
find the cubic root of both sides
r = ∛86.226
r = 4.417
therefore the radius of the sphere is evaluated to be 4.417
The function is:
f ( x ) = x² - x - 72
This is a quatdratic function. So we can find the zeroes of the function with the formula:
x 1/2 = ( - b +/- √(b² - 4 ac) ) / ( 2a )
And we have: a = 1, b = - 1 and c = - 72
x 1/2 = ( 1 +/- √((-1)² - 4 · 1· ( - 72 )) ) / 2
x 1/2 = ( 1 +/- √( 1 + 288 ) ) / 2
x 1/2 = ( 1 +/- √289 ) / 2
x 1/2 = ( 1 +/- 17 ) / 2
x 1 = ( 1 - 17 ) 2 = - 16 / 2 = - 8
x 2 = ( 1 + 17 ) / 2 = 18 / 2 = 9
Answer: The zeroes are - 8 and 9.
Answer: 300π
Step-by-step explanation: Volume=(pi)(radius^2)(height)
Volume=(pi)(5^2)(12)
V=(pi)(25)(12)
V=(pi)(300)
Value of x is -1
The correct first step to solving the inequality is distributing the -4 into the para thesis
For #16, it can be assume that the two angles are linear, so set them both equal to 90 (9x+x-10=90) and solve for x. Once you have x, plug it into the equations to find the measure of both angles. If both your final answers are added, they should equal 180. If not, go back and try to find where you messed up.
