Answer:
A
Step-by-step explanation:
Just put x = 80 and y = 210 into the equation...
or put x = 40, y = 90.
A:
210 - 90 = 3(80-40)
120 = 120√
B:
210 + 90 = 3(80+40)
300 = 360×
C:
210 - 90 = 2.6(80-40)
120 = 104×
D:
210 + 90 = 2.6(80+40)
300 = 312×
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:
Lines stay parallel or overlap
Step-by-step explanation:
AB and CD are parallel lines
Rotation around a point 90 degrees clockwise will make these lines perpendicular to their initial position but AB and CD will still be parallel to each other
They will overlap if the distance between them and point E is equal
Their initial slope is same and equal to m
Their final slope will be -1/m as a result of 90 degrees rotation
∑ Hey, petalssquad10 ⊃
Answer:
( 10 x + 10 ) = 110
Step-by-step explanation:
As you can see this following diagram shown a vertical angles which are angles that are opposite of each other when two lines cross. You can also see it kind of look like a "x". Vertical angles also means that they have the same angle measure. A example is if this angle is "110" then the other sides equal to "110''.
Hence, the equation we can be used to solve for x in the following diagram is:
( 10 x + 10 ) = 110
You can also refer to the image below:
<u><em>xcookiex12</em></u>
<u><em></em></u>
<em>8/18/2022</em>
Answer:
ok
Step-by-step explanation: