Answer:yes 3x2=6
Step-by-step explanation:
Answer:
$352.48
Step-by-step explanation:
500 = P(1+6/100)^6
500 = P(1.141851912)
P = 500 / 1.1418519112 = 352.48
Answer:
5 percent is the difference between 10 and 5 because the ramp needs to be 5 percent but most average wheelchair ramps are 10 degrees and there is a 5 degree differance
Step-by-step explanation:
hope this helps
Answer:
Option D
Step-by-step explanation:
The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other and the given angle is the included angle. This means that the angle is formed by the intersection of the two lines. Therefore, cosine rule will be used to calculate the length of b. The cosine rule is:
b^2 = a^2 + c^2 - 2*a*c*cos(B).
The question specifies that a=42, B=120°, and c=35. Plugging in the values:
b^2 = 42^2 + 35^2 - 2(42)(35)*cos(120°).
Simplifying gives:
b^2 = 4459.
Taking square root on the both sides gives b = 66.78 (rounded to the two decimal places).
This means that the length of the third side is 66.78 units!!!
<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>
