Answer:
tan P=8/15
tan Q=15/8
Step-by-step explanation:
tan P=opposite/adjacent, where 8 is the opposite, while 15 is the adjacent.
tanQ=opposite/adjacent, where 15 is the opposite, while 8 is the adjacent.
Answer:
He made 5 2-pointers and 4 3-pointers
Step-by-step explanation:
Let x = number of 2-pointers he scored.
Let y = number of 3 pointers he scored.
The total number of shots he made is x + y, and it it equals 9.
The first equation is
x + y = 9
The total number of points he scored on 2-pointers is 2x. The total number of points he scored on 3-pointers is 3y. The total number of points he scored with 2-pointers and 3-pointers is 2x + 3y. It equals 22.
The second equation is
2x + 3y = 22
We have a system of 2 equations.
x + y = 9
2x + 3y = 22
We will use the substitution method.
Solve the first equation for x.
x = 9 - y
Now substitute 9 - y in for x in the second equation.
2x + 3y = 22
2(9 - y) + 3y = 22
18 - 2y + 3y = 22
y + 18 = 22
y = 4
Now we substitute 4 for y in the first equation and solve for x.
x + y = 9
x + 4 = 9
x = 5
Answer: He made 5 2-pointers and 4 3-pointers
Check:
5 2-pointers and 4 3-popinters are a total of 9 shots, so the number of shots is correct.
Now we check the number of points.
5 * 2 + 4 * 3 = 10 + 12 = 22
22 points is the correct total.
Our answer is correct.
Answer with Step-by-step explanation:
We are given that
Radius of circle=r
Total distance traveled =s
Time=t
Central angle=
rad
We know that
Linear speed,v=
Using the formula
Therefore, v=
Angular speed,
By using the formula
rad/s
Answer:
6(6a-2b)
Step-by-step explanation:
Answer:
166.5 m³
Step-by-step explanation:
Vcone = ⅓ × pi × r² × h
pi × r² × h = 3 × Vcone
Vcylinder = pi × r² × h
Vcylinder = 3 × Vcone
Vcylinder = 3 × 55.5 = 166.5 m³
