The approximate value of x will be approximately equal to 3.4
<h3>Area of triangle and circle</h3>
The formula for calculating area of rectangle is expressed as:
A = lw
- l is the length
- w is the width
Ar = (3x-1)(x+2)
Ar = 3x^2+6x-x-2
Ar = 3x^2 + 5x - 2
For the circle
Ac = πr²
Ac = 3.14(x-3)²
Ac = 3.14(x²-6x+9)
Ac = 3.14x² - 18.84x + 28.26
If the area are equal;
3x² + 5x - 2 = 3.14x² - 18.84x + 28.26
3.14x² - 3x² - 5x - 18.84x + 30.26 = 0
0.14x²-23.84x+30.26 = 0
On factorizing the equation, the approximate value of x will be approximately equal to 3.4
Learn more on area of rectangle here; brainly.com/question/25292087
When you draw this out, what you have is a right triangle problem. The height of the rope from the ground is 12 (a side), the distance she is from the base of the tree is 5 (a side), and the length of the rope is the hypotenuse. Use Pythagorean's Theorem to find the length of the hypotenuse: 5^2+12^2 = c^2 or
25+144 = c^2 and c^2 = 169, which makes the length of the rope come out to be 13 feet long.
I think its 149/ 490. Not sure, but pretty confident. Hope this helps.
Answer:
3 3/11
Step-by-step explanation:
