<span>The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .</span>
Answer:
9.43 cm³
Step-by-step explanation:
Given that the surface area of the spherical scoop is 36π cm², we find its radius. The surface area of a sphere, A = 4πr² where r = radius
36π cm² = 4πr²
r² = 36π cm²/4π
r² = 9 cm²
r = √(9 cm²)
r = 3 cm
So, the volume of the spherical scoop of ice cream is thus V = 4πr³/3
= 4π(3 cm)³/3
= 4π(9 cm³)
= 36π cm³
The volume of the ice cream cone is V' = πr²h/3 where r = radius of cone = radius of spherical scoop = 3cm and h = height of cone = 11 cm
V' = π(3 cm)² × 11 cm/3
= 9π cm² × 11 cm/3
= 33π cm³
So, the volume of ice cream that will overflow is thus V - V' = 36π cm³ - 33π cm³
= 3π cm³
= 9.43 cm³
Set up a proprtion and cross multiply.
18/7.5=22/4x+1
7.5×22=18 (4x+1)
165=72x+18
147=72x
x=2.04
Area = length x width
264 = length x 11
/11 /11
24 = length
ANSWER: 24 yards = length
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The factor theorem says that for a function f(x), if f(a) = 0, then (x - a) is a factor of f(x).
For f(x) = 2x^4 + 22x^3 + 60x^2
f(-5) = 2(-5)^4 + 22(-5)^3 + 60(-5)^2 = 2(625) + 22(-125) + 60(25) = 1250 - 2750 + 1500 = 0
Therefore, x - (-5) = x + 5 is a factor of f(x).