Step-by-step explanation:
Hello there!
4/4=1
(4+4)/4=2
(4+4+4)/4=3
Continue in this fashion. It's a bit wobbly, but it works!
Have a great day, and mark me brainliest if I am most helpful!
:)
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:A
Step-by-step explanation:
The bottles are represented by b. Each bottle costed 2.10, so it's 2.10b. Then he also bought a pizza for 12.99. The total of all of it was 21.39.
Answer:
a. blue 16x + 5
a. red 4x + 5
b. 12x
c. blue 53
c. red 17
Step-by-step explanation:
a.
The perimeter of a polygon is the sum of the lengths of the sides of the polygon.
Blue triangle:
side lengths: 4x + 2, 5x - 4, 7x + 7
perimeter = 4x + 2 + 5x - 4 + 7x + 7 = 16x + 5
Red triangle:
side lengths: x + 3, x + 7, 2x - 5
perimeter = x + 3 + x + 7 + 2x - 5 = 4x + 5
b.
We subtract the perimeter of the red triangle from the perimeter of the blue triangle.
16x + 5 - (4x + 5) =
= 16x + 5 - 4x - 5
= 12x
c.
Blue triangle:
perimeter = 16x + 5 = 16(3) + 5 = 48 + 5 = 53
Red triangle:
perimeter = 4x + 5 = 4(3) + 5 = 12 + 5 = 17