Lets say the price of a shirt is X, then the price of sweater is X + 3.95
Since a total cost is 71.65 for 3 shirts and 2 sweaters. 71.65 = (3*X) + 2*(X+3.95)
So, 71.65 = 3X + 2X + 7.9
71.65 - 7.9 = 5X
12.75 = X. Therefore, the price of a shirt is 12.75 dollars, and the price of a sweater is 16.7 dollars (12.75 + 3.95)
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Answer:
50√3 ≈ 86.6 m
Step-by-step explanation:
The geometry can be modeled by a right triangle with the height of the kite being the leg opposite the 60° angle. The hypotenuse has the given length of 100 m.
The mnemonic SOH CAH TOA reminds you that the relation between angles and the sides of interest here is ...
Sin = Opposite/Hypotenuse
sin(60°) = (kite height)/(100 m)
kite height = (100 m)·sin(60°) = (100 m)(√3)/2
kite height = 50√3 m ≈ 86.6 m
The answer to this question is Z = -40
360 meters is the answer as 9 meter in 1st second ,27 meter in 2nd and 81 in 3rd it is in a series of geometric progression ...of 9,27,81 in which 9*3 =27,27*3=81 so next number will be 81*3=243 total distance moved in 4 seconds is 243+81+27+9=360 meters