3/4 foot is 9 inches, and 4 1/2 feet is 54 inches, so, 54/9 makes exactly 6 pieces of string.
Answer:
305 degree
Step-by-step explanation:
As AD and CE are the diameters of circle P, so that they intersect each other at point P.
=> So that ∡CPA and ∡DPE are two vertical angles.
=> ∡CPA = ∡DPE = 93 degree
As we can see, ∡CPA = ∡CPB + ∡BPA =38 + ∡BPA
=> ∡BPA = ∡CPA - 38 = 93 - 38 = 55 degree
As P is the centre of the circle, so that ∡BPA is equal to the measure of the arc AB, equal to 55 degree.
In the circle P, the total measure of arc AEB and arc AB are 360 degree
=> arc AEB + arc AB = 360
=> arc AEB = 360 - arc AB = 360 - 55 = 305
So that the measure of arc AEB is 305 degree
Answer:
Volume is increased in a factor of 8. The volume is increased from 
to 
.
Step-by-step explanation:
The formula for the volume of the rectangular prism is:
Where:
- Width
- Height
- Length
If dimensions are doubled, then volume is increased in a factor of 8:
The volume is increased from to .
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>
