Answer:
a) 0.6435 radians
b) 80.1 feet/sec
Step-by-step explanation:
a) 75 = (50²/16)sin(theta)cos(theta)
sin(theta)cos(theta) = 0.48
2sin(theta)cos(theta) = 0.96
sin(2theta) = 0.96
2theta = 1.287002218
Theta = 0.6435011088 radians
b) 200 = (v²/16)sin(0.75)cos(0.75)
6416.072347 = v²
v = 80.10038918 feet/sec
36x34= 1224cm²
(36-4)x(34-4)= 32x30= 960cm²
Area of frame= 1224
Area of picture inside frame= 960
So border = 1224-960= 264
ANSWER = 264cm²
P(rolling a 4)=1/6
Explanation:
The probability of rolling a 4 or higher on a 6-sided number cube is 1/6
Answer: 1/6
Answer:
Step-by-step explanation:
2(3x-1)+2(6)
6x-2+12
6x+10
Answer:
120 = 15x + 45 5 hours of lessons
Step-by-step explanation:
120 is total money so that goes on one side.
45 is a one-time cost so it is on its own.
15 per hour is another cost but this one depends on a variable so it has an x.
X represents the number of hours.
You put this together to from the equation: 120 = 15x + 45.
Subtract 45 from both sides: 75 = 15x
Divide 15 from both sides: 5 = x.
X = hours so 5 hours
