Answer:
The equation of line Passing through (2,3) and (4,7)
The slope of line is
4−2
7−3
=
2
4
=2
The equation of line is y−7=2(x−4)
y−7=2x−8
2x−y−1=0
Step-by-step explanation:
Answer:
11 miles
Step-by-step explanation:
Divide it by 1760
Answer:
Step-by-step explanation:
Given
See attachment for diagram
Required
The equation to find x
First, calculate the area of the big rectangle using:
So:
The smaller rectangle
The difference between this areas give the area of the shaded region.
So:
Open brackets
Collect like terms
<em>The above equation can be used to solve for x</em>
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%
2.2512*10^8 let me know if its wrong