Write the equation of a line that is perpendicular to the given line and that passes through the given point. y=3/4x-9;(-8,-18)
1 answer:
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<u>Given</u>:
Given that we need to prove the identity
<u>Proof</u>:
Step 1: Factor out the common term sin x, we get;
Step 2: Using the identity
Step 3: Reciprocating sec x, we get;
Step 4: Splitting the denominator, we have;
Simplifying, we get;
Thus, the identity is proved.
The surface area of the figure given is of: 61.3 yd².
<h3>What is the combined surface area of a figure?</h3>The combined surface area of a figure is the area of each figure.
This figure is composed by:
- A circle of radius 3 yd.
- A triangle with base 6 yd and one leg 11.4 yd.
The area of the circle is given as follows:
For the triangle, we need to find it's height, which is the <u>leg of a right triangle, in which one of the sides is 3 and the hypotenuse is 11.4</u>, hence:
h² + 3² = 11.4²
h = 11 yd.
Hence the area of the triangle is:
A = 0.5 x 6 x 11 = 33 yd²
The surface area of the figure is:
9pi + 33 yd² = 61.3 yd².
More can be learned about the surface area of at brainly.com/question/21208177
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