Answer:
Step-by-step explanation:
Since it is a right-angled triangle, it has base, perpendicular and hypotenuse.
Base = r
Perpendicular = 14
Hypotenuse = r + 7
<u>Using Pythagoras theorem:</u>
Put the values
(r + 7)² = (r)² + (14)²
Using formula a² + 2ab + b² = (a + b)²
r² + 14r + 49 = r² + 196
<em>Subtract</em> r² to both sides
14r + 49 = 196
<em>Subtract</em> 49 to both sides
14r = 196 - 49
14r = 147
<em>Divide</em> 14 to both sides
r = 147 / 14
r = 10.5
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Answer: 0.00462962962...
Step-by-step explanation:
Answer:
Original position =6,800 feet.
800 (ft per hour) x 6(hours) =4800 ft
11,600-4,800=6,800 feet
Step-by-step explanation:
Answer:
x^2 + y^2 = 25
Step-by-step explanation:
The standard form of a circle equation is:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center and r is the radius.
We can see that the center is (0, 0) by looking at the graph, and the radius is 5 because it is marked. Plugging these in we get:
x^2 + y^2 = 25
