Answer:
1,1, and 1000
Step-by-step explanation:
The two numbers are -4 and -6.
- two negatives make a positive. in this case -4×-4 equals 16 and -6×-6 equals 36. these are the squares
- 16+36 equals 52
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Answer:
Step-by-step explanation:
sin(θ+30∘)=cos50∘
⟹cos(90∘−(θ+30∘))=cos50∘
⟹cos(60∘−θ)=cos50∘
⟹cos(π3−θ)=cos5π18
Writing the general solution as follows
π3−θ=2nπ±5π18
⟹θ=π3−(2nπ±5π18)
Method 2: ,
sin(θ+30∘)=cos50∘
⟹sin(θ+30∘)=sin(90∘−50∘)
⟹sin(θ+30∘)=sin40∘
⟹sin(θ+π6)=sin2π9
Writing the general solution as follows
θ+π6=2nπ+2π9
⟹θ=2nπ+2π9−π6
⟹θ=2nπ+π18
or
θ+π6=(2n+1)π−2π9
⟹θ=2nπ+π−2π9−π6
⟹θ=2nπ+11π18
Hint 1: sin(a)=sin(b) iff a−b=2kπ or a+b=(2k+1)π for some k∈Z.
Hint 2: cos(40∘)=sin(50∘).
Hint:
sinθ=cos(90∘−θ)
cos50∘=sin40∘
can you solve for θ using the above?
0
Knowing the relation between sin(θ) and cos(θ) is quite crucial. One of the major relation is that the sine function and cosine function are fairly similar with 90∘ difference so,
Sin(x+90)=cos(x)
We are given x=50, so
x+90=30+θ
θ=110
or
180−140=40
This is θ+30 so,
θ=10∘
Answer:
A
Step-by-step explanation:
multiplication is the inverse of division and subtraction is the inverse of addition
Answer:
35 cm
Step-by-step explanation:
volume of cylinder = πr²h
πr²h = 1058.75π
Divide both sides by π.
r²h = 1058.75 cm³
r = 5.5 cm
Substitute r² with (5.5 cm)².
(5.5 cm)²h = 1058.75 cm³
h = 1058.75/30.25 cm
h = 35 cm