<span>8 minutes 20 seconds.
First, lets determine who many miles per minute each vehicle moves by dividing each speed by 60.
Speeder = 60 / 60 = 1 mile per minute.
Police = 75 / 60 = 1.25 miles per minute.
Other car = 45 / 60 = 0.75 miles per minute.
Since the speeding car moves for 5 minutes before the police start to chase, that means that the speeding car will now be 5 + T miles down the road with T being the time the police has been chasing. The police will be 1.25 T. We're looking for when those two equations equal each other. So
5 + T = 1.25 T
Subtract T from both sides
5 = 0.25T
Divide both sides by 0.25
20 = T
So it will take the police officer 20 minutes to catch up to the speeder. And they will both have traveled a total distance of 25 miles from the point where the speeder passed the police car.
Now we need to figure out how far the law obeying car has moved during those 25 minutes. So
25 * 0.75 = 18.75 miles.
The distance the law obeying car needs to travel to catch up to the police officer then becomes
25 - 18.75 = 6.25 miles.
The number of minutes that the law obeying car needs to travel that distance is
6.25 / 0.75 = 8.333....
Which is 8 minutes 20 seconds.</span>
Answer:Answer: the total number of views that the video got over the course of the first 27 days is 718833
Step-by-step explanation:
The number of views that the video got each day increased by 18% per day. It means that the number of views is increasing in geometric progression. The formula for determining the sum of n terms(days), Sn of a geometric sequence is expressed as
Sn = (ar^n - 1)/(r - 1)
Where
n represents the number of terms(days) in the sequence.
a represents the first term in the sequence.
r represents the common ratio.
From the information given,
a = 1500
r = 1 + 18/100 = 1.18
n = 27 days
Therefore, the sum of the first 27 terms, S27 is
S27 = (1500 × 1.18^(27) - 1)/1.18 - 1
S27 = (1500 × 86.26)/0.18
S27 = 718833
Hopefully It helps:)
Answer:
∠A = 78° , ∠B = 39° and ∠C = 63°
Step-by-step explanation:
Let the measure of angle A = m°
So, according to the question
Angle B = (m/2)°
Angle C = (m - 15)°
Now by ANGLE SUM PROPERTY, the sum pf all angles of a triangle is 180°
⇒ ∠A +∠B + ∠C = 180°
or, m + (m/2) + (m -15) = 180°
Solving for m , we get 2m + (m/2) = 180 + 15
or,
or, m = 78°
Hence ∠A = 78°
∠B = (m/2) = (78/2) = 39°
and ∠C = (m -15) = 78 - 15 = 63°
