In the diagram below, RSTU is a rectangle, and the two shaded regions are squares.
1 answer:
Answer:
length PQ = 8.9 m
Step-by-step explanation:
The picture below completes the question you asked. From the picture above RSTU is a rectangle . The two shaded square has a length of sides 8 m and 4 m respectively. The legs of the triangle is the sides of the 2 squares. Therefore, the triangle is a right angle triangle. The adjacent side is 4 m while the opposite side is 8 m.
Using Pythagoras theorem the hypotenuse of the triangle can be calculated below.
Pythagoras theorem
c² = a² + b² Therefore,
c² = 4² + 8²
c² = 16 + 64
c² = 80
square root both sides
c = √80
c = 8.94427191
c ≈ 8.9 m
length PQ = 8.9 m
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Answer:
Sedan: 4 passengers
Minivan: 6 passengers
Step-by-step explanation:
We can write the following system of equations:
, where
represents the number of people a sedan can seat and
represents the number of people a minivan can seat.
Subtracting the first equation from the second, we have:
Now plug in in any of the equations to solve for
:
Verify that the solution pair works:
Therefore, a sedan can hold 4 passengers and a minivan can hold 6 passengers.