Dividing by a fraction means the same as multiplying by its reciprocal.
In other words, change the division sign to multiplication
and flip or take the reciprocal of the second fraction.
So we can rewrite 2/13 ÷ 1/6 as 2/13 × 6/1.
Now multiply across the numerators and denominators to get 12/13.
Answer:
The equivalent equation is
Step-by-step explanation:
p is given by the following relation:
And we are given the following equation:
On the right side, we can simplify. So
Replacing by p, the equation is:
Answer:
Step-by-step explanation:
GIVEN: kayden paddled a canoe to an island. the island is miles from the shore. his trip to the island took two hours while paddling against the current. he paddles mph with no current.
TO FIND: what was the speed of the current.
SOLUTION:
distance of island from the shore miles
total time taken by Kayden hours
speed of Kayden in still water
Let the speed of current be
Speed of Kayden against current
As,
Hence speed of current is
Answer:
sin²2θ. (cos θ sin θ). cos 2θ
Step-by-step explanation:
finding g'(x)
g'(x)
= 4 (cosθsinθ)³ . { cosθ. (sinθ)' + sinθ. (cosθ)' }
- (cosθ)' = - sinθ
- (sinθ)' = cosθ
= 4 (cosθsinθ)³ { cosθ. cos θ + sinθ.(-sin θ)}
= 4 (cosθsinθ)³{ cos²θ - sin²θ}
- cos²θ - sin²θ = cos 2θ
- 2sinθ cosθ = sin 2θ
= (4 cosθ sinθ)². (cosθ sinθ). { cos²θ - sin²θ}
= <u>sin²2θ. (cos θ sin θ). cos 2θ</u>