Answer:
Step-by-step explanation:
We want to rewrite
in the form
We expand to get:
Regroup similar terms:
Simplify:
This is now of the form
where a=23.75 and b=76.24
What time is shown on the clock?
2 answers:
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Answer:
The volume of the prism is 27 cubic inches.
Step-by-step explanation:
In order to calculate the volume of the given prism, we need to apply the correct formula. The volume of the wedge prism is given by the following formula:
Applying the data from the problem on the equation above, we have:
The volume of the prism is 27 cubic inches.
Answer:
The whale is at a depth 120 feet below the sea level.
Step-by-step explanation:
A grey whale is cruising at a depth of 233 feet below sea level. The depth below the sea level has the negative position, thus the initial position of the whale is -233.
It rises 73 feet, the position of the whale becomes 73 feet higher. This means we should add 73.
Then it comes up another 40 feet, so we need to add 40.
Mathematically,
The whale is at a depth 120 feet below the sea level.
Answer:
257.5 mph
332.5 mph
Step-by-step explanation:
The initial distance between the two planes is 960 miles, while the final distance (after t=1.5 h) is 75 miles, so the total distance covered by the two planes in 1.5h is
miles
Calling v1 and v2 the velocities of the two planes, we have the following equations:
(1) --> velocity of plane 1 exceeds velocity of plane 2 by 75 mph
(2) --> the total distance covered by the two planes is 885 miles (t=1.5 h is the time, and the products v1 t and v2 t represent the distance covered by each plane)
Substituting t=1.5 h, the second equation becomes:
By substituting (1) into this last equation, we find:
And substituting this back into eq.(1), we find
So, the speeds of the two planes are
257.5 mph
332.5 mph