Callie evaluated the expression using the steps shown below.
2 answers:
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The value of sin(2x) is
Explanation:
Given that
The formula for is
Since,
Also, it is given that
Thus, and
To find the hypotenuse, let us use the pythagoras theorem,
Now, we can find the value of sin x and cos x.
Now, substituting these values in the formula for sin 2x, we get,
Thus, the value of sin(2x) is
ANSWER :
Surface area of larger cone : 24π units^2
Surface area of smaller cone : 6π units^2
The surface area of the smaller cone is 25% of that of the larger cone.
EXPLANATION :
From the given problem,
AB = 3 is the radius of the larger cone and the slanted height is BC = 5
DE = 1.5 is the radius of the smaller cone and the slanted height is EC = 2.5
Recall the surface area of the cone :
where r = radius and L = slanted height.
For the larger cone, r = 3 and L = 5
For the smaller cone, r = 1.5 and L = 2.5
Comparing the surface areas :
The area of the smaller cone compared to the larger cone is :