2/9 of 50 = 11.1
Ethan spends 11.1 hours feeding the animals every week
Answer:
66.67% probability that all selected components function properly
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the components are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
Desired outcomes:
2 components which function properly, from a set of 5. So

Total outcomes:
2 components, from a set of 6. So

Probability:

66.67% probability that all selected components function properly
Answer:
Distance from the base of the cliff to the point on the ground = 7608 feet
Step-by-step explanation:
Given: Height of the cliff is 532 feet, angle of depression from the top of the cliff to a point on the ground is equal to 4 degrees.
To find: distance from the base of the cliff to the point on the ground
Solution:
In ΔABC,
(Alternate interior angles)
For any angle
,
side opposite to angle/side adjacent to angle

Put 

Distance from the base of the cliff to the point on the ground = 7608 feet
Answer:
Radius = 504units
Step-by-step explanation:
Angle = 10°
Length of arc = 28π units
L = ∅/360 × 2πr
28π = 10/360 × 2πr
28π = 1/36 × 2πr
2πr = 28π × 36
π cancelled off.......
2r = 28 × 36
r = (28 × 36)/2
r = 28 × 18
r = 504units