Answer:
cos ∅ = 15/17
Step-by-step explanation:
hypotenuse² = 15² +8² = 225 + 64 = 289
hypotenuse = √289 = 17
cos ∅ = 15/17 =
Answer:
7/12.
Step-by-step explanation:
There are 12 numbers totals.
The numbers 1, 7, 11, 8, 2, 4, and 10 are not in Set Q.
There are seven of those numbers which means that the probability of a number not being in Set Q is 7/12.
Answer:
(2)(120)(80) + (2)(120)(50) - (4)(60)(5²)
Step-by-step explanation:
The lateral faces of the building are the 4 sides of the building consisting:
2 rectangles of 120 ft by 80 ft
Area of the two rectangular faces = (2)(120)(80)
And
2 rectangles of 120 ft by 50 ft
Area of the two rectangular faces = (2)(120)(50)
✔️Total lateral surface area of the building = (2)(120)(80) + (2)(120)(50)
Note: we are asked to find the expression that represents the total surface area that needs to be painted given that there are 60 windows on each lateral face of the building of the shape of a square with side lengths of 5 ft.
Therefore, the total lateral surface area of the building that will be painted = total lateral surface of the building - total area covered by the 60 windows on each face of the building
Surface area covered by 60 windows in the 4 lateral face of the building = (4)(60)(5²)
✅total lateral surface area of the building that will be painted = (2)(120)(80) + (2)(120)(50) - (4)(60)(5²)
Answer:
Step-by-step explanation:
a) 7/5, 3/10, -13/4,-27/1,0
b)36/1,-45/1,21/5, -4/5, 91/6,-2/9