Answer:
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Step-by-step explanation:
Answer:
40 mph
Step-by-step explanation:
We assume "outbound" refers to the trip <em>to the lake</em>. The ratio of speeds is inversely proportional to the ratio of times, so ...
outbound speed : inbound speed = 4 : 3
These differ by one ratio unit, so that one ratio unit corresponds to the speed difference of 10 mph. Then the 4 ratio units of outbound speed will correspond to ...
4×10 mph = 40 mph
Paul's average speed on the outbound trip was 40 mph.
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The distance to the lake was 120 mi.
Answer:
b = 8√3 mm, a = 16 mm, x = 5 ft, y = 5√2 ft.
Step-by-step explanation:
With 30° 60° 90° triangles, one side will be a number, the other leg will be that number multiplied by √3, and the hypotenuse will be 2 times that original number.
So in this case:
The original leg's length is 8 mm. Side b will be that 8 times √3.
So, b = 8√3 mm.
Side a will be 8 times 2.
So, a = 16 mm.
With 45° 45° 90° triangles, the two legs will be the same length, and the hypotenuse will be that number times √2.
So in this case:
The original leg's length is 5 ft. Side x will be that same length.
So, x = 5 ft.
Side y will be 5 times √2.
So, y = 5√2 ft.
Answer:
See step by step explantation
Step-by-step explanation:
Step 1. given
Step 2. Subtraction property of equality
Step 3. Simplification
Step 4. Subtraction property of equality
Step 5. Simplification
Step 6. Multiplication property of equality
Step 7. Simplification
