You can use the sin function to solve this.
Think of a triangle with the conveyor being the longest side (hypotenuse). The height (the vertical side) is H=17m. The angle of elevation is a=36.2. We are looking for length of the hypotenuse, L.
The sin is the ratio of height to hypotenuse: sin(36.2) = H/L = 17/L
Now solve for L:
L = 17/sin(36.2) = 17m/0.59 = 28.78m
The conveyor needs to be approx. 28.8m long to get close to the max. efficient angle.
The two rolls of the number cube are independent events because
the result of 1 roll does not affect the result of the other roll.
To find the probability of two independent events, we first find
the probability of each event, then we multiply the probabilities.
We can find the probability of an event using the following ratio:
number of favorable outcomes/total number of outcomes
Since there is only one way to roll a 3 and there are six
possible outcomes, 1, 2, 3, 4, 5, and 6, the probability of rolling a 3 is 1/6.
Since there is also only one way to roll a 2 and there are
six possible outcomes, the probability of rolling a 2 would be 1/6.
Now we multiply the probabilities.
1/6 x 1/6 is 1/36.
So the probability of rolling a 3 and a 2 is 1/36.
sin = 3/7
1 = sin²0 + cos²0
cos²0 = 1 - 9/49
cos²0 = 40/49
cos0 = √(40) / 7
since its in Quadrant 2 the sin is positive and cos is negative
cos0 = - √(40) / 7
Answer:
Step-by-step explanation:
Area of rectangle = length x width
Area of square = side x side
Given: Dimension of rectangular wall: 8 feet high and 30 feet wide
Area of rectangular wall = 8 feet x 30 feet = 240 ft²
Height of square wall = 9 feet
Area of square wall = 9 x 9 ft² = 81 ft²
Total area need to paint = 240 ft²+ 81 ft² = 321 ft² > 250 ft.²
i.e. Molly does not have enough p[aint to cover both walls.
