Answer:
Step-by-step explanation:
The Earth, Sun and Moon form a right triangle.
By the definition of cosine in a right triangle we can write that
cos x ° = adjacent side /hypothenuse = y/ distance Moon Sun
Since we measured the angle x, and the distance y we can use algebra to find the unknown distance between the moon and the Sun.
distance Moon Sun = y/cos x°
Answer:
5 minutes to run 1 kilometer
Step-by-step explanation:
Alonzo takes 12 minutes to run 6 times around a 400-meter track.
6 times around a 400 m track
400 * 6 = 2400 meters
It take 12 minutes to run 2400 meters
2400 meters = 2400/1000 = 2.4km
distance = 2.4 km and time = 12 minutes
Now we find our constant speed

2.4 = speed * 12
divide by 12 on both sides
speed = 0.2
so speed is 0.2 km per minute
Now we find out time when distance = 1km
Distance = speed * time
1 = 0.2 * t
divide by 0.2 on both sides
5 = t
So it take 5 minutes to run 1 kilometer
So
Total cost of the workbooks is d
And the number of workbooks is t
Therefore d = 95
95=19t
t=95/19=5
5 workbooks
Answer:
6
Step-by-step explanation:

Therefore, 
Answer:
Interest Charged = $80
Total payback = $480
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Present Value (PV) = $400
Time period (n) = 4 years
Interest rate (r) = 5%
So, we can calculate the future value(FV), by using following formula,
FV = PV ( 1 + n × r)
By putting the value, we get
FV = $400 ( 1 + 4 × 0.05)
= $480
Hence total amount she has to pay back = $480.
Interest charged = FV - PV
= $480 - $400
=$80