To solve the question we shall use the formula for the range given by:
Horizontal range, R=[v²sin 2θ]/g
plugging in our values we get:
500=[160²×sin 2θ]/10
5000=160²×sin 2θ
0.1953=sin 2θ
thus:
arcsin 0.1953=2θ
11.263=2θ
hence:
θ=5.6315°~5.63
The answer for this answer would be B. X is less than -10 so B would be the answer.
Answer:
- The equation 2n = p should be 2p = n.
- The actual cost of the onions is $3.00 per pound.
- Potatoes cost $1.50 per pound.
Step-by-step explanation:
The wording "onions cost twice as much as potatoes" is understood to mean the cost per pound of onions (n) is equal to two times the cost per pound of potatoes (2p). Then the appropriate equation would be ...
2p = n
Then the solution is ...
6p +3(2p) = 18
12p = 18
p = 18/12 = 1.50
n = 2p = 2(1.50) = 3.00
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The equation should be 2p = n; onions cost $3.00 per pound; potatoes cost $1.50 per pound.
Answer:
The inequality
represents the length of the femur for which the woman had a height greater than 160cm.
Step-by-step explanation:
The given equation is

Where, h is woman's height in centimeters and f is length of the femur in centimeters.
If woman's height is greater than 160cm, then


Substract 60 from both sides.

Divide both sides by 2.5.

Therefore the inequality
represents the lengths of the femur for which the woman had a height greater than 160cm.