Answer:
Step-by-step explanation:
1.

2.
cosθ+sinθ tan θ
=cosθ+sin θ×(sinθ)/(cosθ)

3.
x²+(y-6)²=35
x²+y²-12y+36=35
x²+y²-12y+1=0
put x=r cosθ
y=r sin θ
square and add
x²+y²=r²cos²θ +r² sin²θ=r² (cos² θ+sin² θ)=r²
r²-12rsinθ+1=0
Answer:
First, in standard notation, we must define our zero.
In this case, would make sense to define the zero in the surface of the water.
(below is a number line so you can see the process to think this)
Then if the whale is swimming 60ft bellow the surface of the water, then the first position of the whale is:
-60
Now the whale goes up 30ft, then the new position of the whale is:
-60ft + 30ft = -30ft.
The correct option is A:
The equation is -60 + 30 = -30. The whale is 30 feet below the water's surface.
(you wrote that the equation was equal to +30 instead of -30 in the option A, i supposed that it was a typo)
180 is the answer....
angle B =50
angle C = 130
Answer:
Sheila earned $120 in interest.
Step-by-step explanation:
In order to calculate the interest earned by Sheila we can use the simple interest formula shown bellow:
i = P*r*t
Where i is the interested earned, P is the amount invested, r is the interest rate and t is the total time. For this case we have:
i = 800*0.03*5
i = 24*5
i = 120
Sheila earned $120 in interest.
Answer:
Step-by-step explanation:
Given that a basketball coach will select the members of a five-player team from among 9 players, including John and Peter.
Out of nine players five are chosen at random.
The team consists of John and Peter.
Hence we can sort 9 players as I group, John and Peter and II group 7 players.
Now the selection is 2 from I group and remaining 3 from II group.
Hence no of ways of selecting a team that includes both John and Peter=
=35
Total no of ways =
=126
=
=