Find the area of the trapezoid by decomposing it into other shapes.
2 answers:
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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.
The approximate solution of the above equation is: 55/15 (Option A). This is solved using the quartic formula, not quadratic equation.
<h3>What is the Quartic Formula?</h3>
The quartic formula has up to four various solutions including real and imaginary numbers. Read on for more explanation.
<h3>What is the solution to the above question?</h3>
First we restate the above equation:
x²-3x+2= √(x-2) + 2
Next we remove square roots - 6x³ + 9x² = x - 2
Add two to both sides
→ - 6x³ + 9x²+2 = x - 2 +2
→ - 6x³ + 9x²+2 = x
Subtract X from both sides
→ - 6x³ + 9x²+2 -x = x -x
→ - 6x³ + 9x²+2 - x= 0
Using the Quartic formula to solve the fourth order equation:
a + bx³ + cx² + dx + e
The resolution of x is given as:
x = 2.691085, 3.346753
Because the fraction nearest to 3.4 is 55/16
hence, the correct answer is Option A.
Learn more about quadratic equations at;
brainly.com/question/25841119
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