Answer:
20.78feet
Step-by-step explanation:
The question made us to understand that the man is standing and also there is angle of elevation, then we need to draw a right triangle having a base equal to 36 feet with an angle from the base to the top of the pole which is 30 degrees.
tan= opposite side / adjacent side
Let height of the pole =h
Tan(30)= h/36
But tan 30degree= 1/√3
h= 36 × 1/√3
h= 20.78feet
Therefore, the height of the pole= 20.78feet
CHECK THE ATTACHMENT FOR DETAILED FIGURE
In this question, it is given that the base radius is 2 , height is 6 and the value of pi is 3.14 .
And we have to find the volume of the cylinder, and for that, we have to use the following formula
Substituting the values of pi,r and h, we will get
Answer:
6n + 7 = 7n
Step-by-step explanation:
Number of students involved in sports = 5n + 7
Number of students involved in student council = n
Number of students involved in sports and student council = (5n + 7) + n = 5n + 7 + n = 6n + 7
Number of students involved in band = 3n - 2
Number of students involved in drama club = 2(2n + 1)
Number of students involved in band and drama club = (3n - 2) + 2(2n + 1) = 3n - 2 + 4n + 2 = 7n
Equation to model number of students involved in sports and student council which equal number of students involved in band and drama club:
6n + 7 = 7n
Answer:
X=5, Y=0
Step-by-step explanation:
-9Y +4X -20=0
-7Y+16X-80=0
1. We can multiply the first equation by 4. This will equal to -36Y +16X-80=0.
-36Y +16X -80 =0
-7Y+16X-80=0
2. We can subtract these two equations.
-36Y +16X -80 =0
-7Y+16X-80=0
We will get -29Y =0. Y=0.
3. Then we can substitute y into the first equation. -9(0) +4x-20 =0. 4x=20. x=5
X=5, Y=0
