Make m the subject of the equation (a) 5(m + y) = 4(m - 3y)
1 answer:
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Answer:
The answer is below
Step-by-step explanation:
The question is not complete. The complete question is:
The 12 foot long bed of a dump truck loaded with debris must rise an angle of 30 degrees before the debris will spill out. Approximately how high must the front of the bed rise for the debris to spill out.
Solution:
Let x be the height of the front of the bed rise needed to be raised for the debris to spill out. We can find x using trigonometric identities. That is:
sin θ = opposite / hypotenuse
Using trigonometric identities, we can get that:
sin(30) = x / 12
This gives:
0.5 = x / 12
Cross multiplying the terms to get:
x = 12 * 0.5
x = 6 ft
Therefore the front of the bed rise must be raised 6 ft for the debris to spill out.
Answer: D. 453 miles .
Step-by-step explanation:
Given: The function models the distance, in miles, that Jessica is from her house <em>t </em>hours after she began returning home.
At t = 5 minutes = hour [1 hour = 60 minutes],
Distance covered by Jessica in 5 minutes =
Jessica is 453 miles from her home after 5 minutes she began returning home.
Hence, the correct option is D. 453 miles .