Answer:
A
Step-by-step explanation:
Step-by-step explanation:
5x-17 and 3x-11 are supplementary angles
They add up to 180 degrees
5x-17 + 3x - 11 = 180
8x - 28 = 180
8x= 208
x= 26
3x-11, 90, and 2y + 5 added together equal 180
3x-11 + 90 + 2y + 5 = 180
3(26) - 11 + 2y + 5 = 90
78 - 6 + 2y = 90
72 + 2y = 90
2y = 18
y = 9
I hope this helps!!!
Answer:
if its uncle sam IT MUST BE A CONSPIRACY!!!
Step-by-step explanation:
UNCLE SAM IS WATCHING
We know the following:
Cylinder volume: V₁ = π r² h
Ball (sphere) volume:V₂ =

π r³
where:
V - volume
r - radius of base of cylinder and diameter of ball
h - height of cylinder.
R = 13 cm ⇒ r = 13 ÷ 2 = 6.5
π = 3.14
a) Since balls touch all sides of cylinder (as shown in image), it can be concluded that height of cylinder is equal to sum of diameters of 3 balls and that radius of base of cylinder is equal to radius of ball:
h = 3 × r = 3 × 13 cm = 39 cm
r = 6.5 cm
So,
V₁ = <span>π r² h
</span><span>V₁ = </span>3.14 × (6.5 cm)² × 39 cm
V₁ = 5,173.9 cm³
b. The total volume of three balls is the sum of volumes of each ball:
Vₐ = 3 × <span>V₂
</span>Vₐ = 3 × <span>

π r³
</span>Vₐ = 3 ×

3.14<span> (6.5 cm)³</span>
Vₐ = 3,449.3 cm³
c. Percentage of the volume of the container occupied by three balls ould be expressed as ratio of volume of three balls and volume of cylinder:
V =

×100
V =

×100
V = 0.6666 ×100
V = 66.66%
Answer:
C 1/125
Step-by-step explanation:
5 ^−3
Calculate 5 to the power of −3 and get
1/125