Answer=B
36 red marbles
64 blue marbles
red marbles:blue marbles
36:64
now lets simplify the ratio by dividing both numbers by 2
18:32
continue simplifying by dividing both sides by 2 again...
9:16
The ratio of red to blue marbles is 9:16
Answer: C) 163
Step-by-Step Solution:
In the Right Triangle formed to the extreme right, lets mark the angles as
∠1, ∠2 and ∠3.
Therefore, from the Figure :-
∠1 = 73°
∠2 = 90°
By Angle Sum Property :-
∠3 = 180 - (73 + 90)
∠3 = 180 - 163
=> ∠3 = 17°
The Angle which forms a Linear Pair with ∠3 is the Corresponding Angle of ∠r, and Corresponding Angles are Equal.
Therefore,
=> 180 - ∠3
= 180 - 17
=> 163°
Therefore, the Angle that forms the Linear Pair with ∠3 is 163°
This Angle is Corresponding to ∠r and hence they are Equal ie. ∠r = 163°
Hence, ∠r = 163°
Answer:
1 : 1
Step-by-step explanation:
When a circle is inscribed in a cylinder, the height of the cylinder is equal to the diameter of the sphere and the radius of the cylinder is same as that of the sphere.
Let the radius of sphere is r.
height of cylinder, h = 2r
radius of cylinder = r
Surface area of sphere, A = 4πr²
lateral surface area of cylinder, A' = 2 πrh
A' = 2πr x 2r = 4πr²
The ratio of surface area of sphere to the lateral surface area of cylinder is 1 : 1.
Answer:
Part A: 108
Part B: 125
Part C: 1.71 x 10^-4
Part D: 0.2
Part E: 0.040
Sorry for the wait, laptop is being slow :/
I hope this helps.
Answer:
72 students
Step-by-step explanation:
1. change 60% to decimal= 0.6
2. multiply 0.6 by 120
3. 72
