Speed is the rate of distance over time.
<em>The speed of the boat is 13mph south-west</em>
Given
<em />
<em> --- west</em>
<em />
<em> -- south</em>
<em />
The speed is illustrated with the attached image
Because both speeds act at a diagonal, the speed (v) of the boat is calculated using Pythagoras theorem as follows:
Take square root
<em />
<em>Hence, the speed of the boat is 13mph south-west</em>
Read more about speed at:
brainly.com/question/22610586
c or d for sure hope this helps
A)
a+b=180 and a=2(b-30) using this in the first equation gives you:
2(b-30)+b=180
2b-60+b=180
3b-60=180
3b=240
b=80 so a=100
Andre's score was 100 and Brandon's score was 80.
b)
100x-200>50x-75 subtract 50x from both sides
50x-200>-75 add 200 to both sides
50x>125 divide both sides by 50
x>2.5
9514 1404 393
Answer:
56 feet
Step-by-step explanation:
Let x represent the height of the pole. Then the distance to the anchor point is (x-23), and the length of the wire is (x+9). The Pythagorean theorem tells you the relation between these values is ...
(x+9)² = x² +(x -23)²
0 = x² -64x +448 . . . . . subtract the left side, put in standard form
0 = (x -8)(x -56) . . . . . . factor
The solutions to the quadratic are x=8 and x=56. For our purposes, we require x > 23 so the distances are positive. That means x=56 is the solution of interest.
The pole is 56 feet tall.
