Answer:
50.528º
Step-by-step explanation:
tanA = BC/BA
tanA = 17/14
A = 50.528º
Answer:
The speed on motorboat is 20 mph
Step-by-step explanation:
here, we want to find the speed on the motorboat
if he has a speed of x mph on the motor boat, his speed on the ski will be (x + 10) mph
The total hours is 4 hours
Mathematically; speed = distance/time
Time on ski is 27/x+ 10
Time on motor boat is 62/x
The addition of both is 4
Thus;
27/(x + 10) + 62/x = 4
27(x) + 62(x + 10) = 4(x)(x + 10)
27x + 62x + 620 = 4(x^2 + 10x)
89x + 620 = 4x^2 + 40x
4x^2 -49x-620 = 0
using the quadratic formula;
{-b ± √(b^2-4ac)}/2a
where a = 4, b = -49 and c = -620
= 49 ± √(-49)^2-4(4)(-620)/8
So we have
49+ 111/8 or 49-111/8
Speed cannot be negative
(49 + 111)/8
= 20 mph
Quadrant Four (IV) since the x coordinate is a positive and the y coordinate is a negative.
Slope: 15 Y Int:40 equation y=15x+40. 24 Hours $55
Answer:
10n -10
Step-by-step explanation:
5n * 2n = 10n
-5 * 2 = -10
-10 + 10n = 10n - 10