Applying the secant-tangent theorem, the length of diameter, BA is: A. 52.9.
<h3>What is the Secant-Tangent Theorem?</h3>Considering the image given, the secant-tangent theorem states that:
DC² = (BC)(BA)
Given the following:
Substitute the values into the equation
30² = (17)(BA)
900/17 = BA
BA ≈ 52.9
Length of the diameter, BA is: A. 52.9
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Answer:
The area of the wall that she will paint in two rolls is <u>219.8 inches²</u>.
Step-by-step explanation:
Given:
Jenny uses a roller to paint a wall. The roller has a radius of 1.75 inches and a height of 10 inches.
Now, to find the area of the wall that she will paint in two rolls.
So, we find the lateral surface area of roller.
Radius (r) = 1.75 inches.
Height (h) = 10 inches.
So, to get the lateral surface area we put formula:
Thus, the lateral surface area of the roller = 109.9 inches².
Now, to get the area of wall that she will paint in two rolls we multiply 2 by the lateral surface area of the roller:
Therefore, the area of the wall that she will paint in two rolls is 219.8 inches².