Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). John is five ye
1 answer:
John's present age is 15 years.
His sister's present age is 10 years.
<u>Step-by-step explanation</u>:
step 1 :
Let,
- Age of sister = x
- Age of john = x+5
step 2 :
The product of their present ages is 150.
⇒ x(x+5) = 150
⇒ x^2 +5x -150 =0
step 3 :
Using factorization method,
product of the roots (-1015) = -150
Sum of the roots (-10+15) = 5
∴ The values of x are x=10 and x=-15.
Age cannot be negative.
So, the present age of sister is 10 years.
The present age of John = x+5 = 15 years.
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Step-by-step explanation:
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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.
