Answer:
v=26.41 m/s
Step-by-step explanation:
From the Newtons laws of motions, we sew that x= (2v₁²sin∅os∅)/g where x is the horizontal distance v is the initial speed and ∅ is the launch angle.
From trigonometry we see that 2 sin∅cos∅=sin 2∅
Therefore, x=(v²sin2∅)/g
x=22m
∅=9°
g=9.8m/s²
22m=v²×sin(2×9)/(9.8m/s²)
v²=(22×9.8)/(sin 18)
v²=697.696
v=√697.696
v=26.41 m/s
If "4/2/7" is all we have to work with, then PEMDAS rules will save the day. Do the division from left to right.
4/2 becomes 2. Then we have 2/7, a proper fraction. I don't see where an improper fraction would come from in this case.
Answer:number of cupcakes sold is 13
Number of cookies sold is 27
Step-by-step explanation:
Let x represent the number of cupcakes that Jane sold.
Let y represent the number of cookies that Jane sold.
Each cupcake sold for $2.25 and each cookie sold for $0.50. At the end of the day, Jean had sold $42.75 worth of cookies and cupcakes.
This means that
2.25x + 0.5y = 42.75 - - - - - - - - - -1
she sold 40 cupcakes and cookies combined, it means that
x + y = 40
Substituting x = 40 - y into equation 1, it becomes
2.25(40 - y) + 0.5y = 42.75
90 - 2.25y + 0.5y = 42.75
- 2.25y + 0.5y = 42.75 - 90
- 1.75y = - 47.25
y = - 47.35/-1.75
y = 27
x = 40 - y
x = 40-27 = 13
.
Answer:
x=0
Step-by-step explanation:
4x²-18x²=0 (combine like terms)
-14x²=0
x²/-14=0/-14
√x²=√0
x=0
Answer:
2<x<8
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