The inequality that shows no more than $450 is to be spent on frozen treats is 0.75C + 0.85I + 0.5F ≤ 450
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let C represent the number of chocolate fudge bars, F represent the number of frozen fruit bars and I represent the number of ice-cream sandwiches
Hence:
0.75C + 0.85I + 0.5F ≤ 450
The inequality that shows no more than $450 is to be spent on frozen treats is 0.75C + 0.85I + 0.5F ≤ 450
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Forces in direction x:
fx1 = 100 * cos (50) = 64.28
fx2 = 50 * cos (160) = - 46.99
The resultant is:
fx = fx1 + fx2 = 17.29
Forces in direction y:
fy1 = 100 * sine (50) = 76.60
fy2 = 50 * sine (160) = 17.10
The resultant is:
fy = fy1 + fy2 = 93.70
The magnitude of the resulting force is:
f = root (fx ^ 2 + fy ^ 2)
f = root ((17.29) ^ 2 + (93.70) ^ 2)
f = 95.28
The angle is:
theta = atan (fy / fx)
theta = atan (93.70 / 17.29)
theta = 79.55 degrees
Answer:
The direction and magnitude of the resultant force are:
f = 95.28 pounds at theta = 79.55 degrees
Y=5s+8a+200 is the right answer pretty sure
