Answer:
Step-by-step explanation:
Sin 21 = 
Sin 21 = 
0.3583 = 
0.3583*15 = BC
BC = 5.3745 = 5.37 m
Tan ∅ = 
Tan ∅ = 
∅ = tan⁻¹ (0.7448) = 36.67 = 36.7
Answer:
213.52 cubic ft
Step-by-step explanation:
Diameter of pipe = 4ft
radius for circle is half of diameter
thus radius of pipe = 1/2 of 4ft = 2 ft
length of pipe = 17 feet
volume of cylinder is given by 
where r is the radius and l is the length of cylinder
.
thus volume of pipe is calculated below using above values

volume of pipe is 213.52 cubic ft.
Answer:
D
Step-by-step explanation:
We know that vector addition is scalar addition.
Given vectors are u = <-3.5, -1.5> and v = <-1.25, 2.25>
2v = < -2.5, 4.5>
2v - u = < -2.5, 4.5> - <-3.5, -1.5> = < -2.5 - (-3.5) , 4.5 -(-1.5) >
2v-u = < 1 , 6 >
This vector is basically i + 6j which is drawn in option D
The answer is 91 ............
Answer:
Force= Mass×Accelaraion
F=m×a
But as The unit of accelaration is given miles per hour and the SI is meters per second sqaure we have to convert 10mph to m/s²
Thus, we have 10mph = 4.47 meters per second square. (i converted using scientific calculator)
So now we have,
2000N= m×4.47m/s²
= 2000/4.47m/s²=m
= 447.42
Thus the mass of the object is 447.42 (i am not sure of units)