Answer:
D
Step-by-step explanation:
I took the quiz :)
The length of the rope needed is 15 feet
Given the following parameters;
- Height of the pole = 9 foot
- The distance from the <u>rope away from the base </u>of the pole is 12 feet
Required
To get the length of the rope, you will use the pythagoras theorem expressed as:
Substituting the given parameters:
c² = 9² + 12²
c² =81 + 144
c² = 225
c = √225
c = 15 feet
Therefore the length of the rope needed is 15 feet
Learn more on Pythagoras theorem here: brainly.com/question/231802
Answer:
8.8
Step-by-step explanation:
Normally, to find the distance between two points, you would use the distance formula, but these two points have the same x-coordinate, meaning they will form a vertical line when connected. To find the length of a vertical line you find the distance between the y-coordinates, in this case -4.7 and 4.1. Finding the distance is the same as finding the absolute value of the difference:
|4.1 -(-4.7)|
|4.1 + 4.7|
|8.8|
8.8
The area of Philip and Laura's pool is 3x^2 - 13x - 10 square feet
<h3>Area of a rectangle</h3>
Givene the dimensiion of Philip and Laura's pool as:
Length = (x - 5)
Width = (3x + 2)
Given the area expressed as:
f(x) = (x - 5)(3x + 2)feet
Taking the product will give:
f(x) = 3x^2 + 2x -15x - 10
f(x) = 3x^2 - 13x - 10
Hence the area of Philip and Laura's pool is 3x^2 - 13x - 10 square feet
Learn more on area of rectangle here: brainly.com/question/25292087
Answer:
yes ! it's a rational number.
Step-by-step explanation:
<em>The square root of 16 is 4, which is an integer, and therefore rational.</em>
<em>H</em><em>o</em><em>p</em><em>e</em><em> </em><em>it'll</em><em> </em><em>help</em><em>!</em>
<em>s</em><em>t</em><em>a</em><em>y</em><em> </em><em>safe</em><em>:</em><em>)</em>