Answer
The answer is 567
Step-by-step explanation:
189*3=567
Answer:
The number of pools clean per hour is 1.5
Step-by-step explanation:
Given as :
The number of pools clean in 8 hours = 12
The number of pools clean in 7.5 hours = 9
Let The number of pools they clean per hours = x
I.e x = +
Or, x =
Or, x =
∴ x =
I.e x = 1.5
Hence The number of pools clean per hour is 1.5 Answer
There were 3 friends. Each of them bought 6 packs of candy. Each pack had 18 pieces of candy. How much candy did they have in total? .
3 × 6 = 18
18 × 18 = 324
SO, they had 324 pieces of candy in total.
Hope I helped:P
Answer:
c
Step-by-step explanation:
only 2 students were asked the question, 2 students don't represent the whole population
<u>Explanation</u><u>:</u>
On taking LHS
Cos[(3π/2)+θ]Cos(2π+θ)[Cot{(3π/2)-θ}+Cot(2π+θ)]
We know that
π = 180°
2π = 2×180° = 360°
3π/2 = (3×180°)/2 = 540°/2 = 270°
Now
LHS becomes
Cos(270°+θ)Cos(360°+θ)[Cot(270°-θ)+Cot(360°+θ)]
We know that
Cos (270°+θ) = Sin θ
Cos (360°+θ) = Cos θ
Cot (270°-θ) = Tan θ
Cot (360°+θ) = Cot θ
→ Sin θ Cos θ [Tan θ + Cot θ]
→ Sinθ Cosθ[(Sinθ/Cosθ)+(Cosθ/Sinθ)]
→ Sinθ Cosθ[(Sin²θ+Cos²θ)/(SinθCosθ)]
→ Sin θ Cos θ [1/(Sin θ Cos θ)]
Since Sin²θ+Cos²θ = 1
→ (Sin θ Cos θ)/(Sin θ Cos θ)
→ 1
→ RHS
→ LHS = RHS
<u>Hence, Proved.</u>
Here are the formulae that I have used:
→ π = 180°
→ Cos (270°+θ) = Sin θ
→ Cos (360°+θ) = Cos θ
→ Cot (270°-θ) = Tan θ
→ Cot (360°+θ) = Cot θ
Here are the Trigonometric Identities that I have used:
→ Sin²θ+Cos²θ = 1