Answer: (d)
Step-by-step explanation:
Given
It takes 14 hours with 40 mph to reach the theatre
so, the distance traveled is given by

It is given that d is the distance from theatre to friend's house
So, d must be less than
i.e.

So, the most appropriate option out of the given is option (d) as d must be less than 560 and it is possible that it maybe less than 160.
Answer:
The correct option is 1.
Step-by-step explanation:
Given information: The coordinates of a right angled triangle ABC are A(0, 0), B(0, 4a – 5) and C(2a + 1, 2a + 6). Angle ABC = 90°.
It means AB and BC are legs of the right angled triangle ABC.
Side AB lies on the y-axis because the x-coordinate of both A and B is 0.
Two legs are perpendicular to each other. So, BC must be parallel to x-axis and the y-coordinate of both B and C is must be same.



Divide both sides by 2.

The value of a is 2. So the coordinates of triangle ABC are


The area of a triangle is

The area of triangle ABC is





The area of triangle ABC is 102. Therefore the correct option is 1.
Answer:
Mean volume shipped per trailer load = 2960 ft³
Step-by-step explanation:
Since both trailers are always full,
Total volume in one 30 feet trailer shipment = 8 × 10 × 30 = 2400 ft³
Total volume in one 40 feet trailer shipment = 8 × 10 × 40 = 3200 ft³
Assuming a basis of 10 shipments, 3 shipments are done using the 2400 ft³ trailer and 7 shipments are done using the 3200 ft³ trailer.
Mean volume shipped per trailer load = total volume shipped/number of shipments
Total volume shipped = (3 × 2400) + (7 × 3200) = 7200 + 22400 = 29600 ft³
Number of shipment in the basis used = 10
Mean volume shipped per trailer load = 29600/10 = 2960 ft³