Answer:
Step-by-step explanation:
Notice that there is a right angle triangle formed with sides as follows:
hypotenuse is the actual 1500 ft string. The acute angle 43 degrees is opposite to the segment that represents the height of the kite from the ground. Therefore, the trigonometric ratio that we can use to find that opposite side to the given angle, is the sine function as shown below:
Answer:
a=15x; b=8x; c=13x
180°=a+b+c=15x+8x+13x=36x
=> x=180÷36=5
=> a=15×5=75°; b=8×5=40°; c=13×5=65°
Answer:
p = -2/5 or 3/8
Step-by-step explanation:
|5 − 3p| + 9 = 13p + 8
|5 − 3p| = 13p − 1
If 5 − 3p is positive:
5 − 3p = 13p − 1
6 = 16p
p = 3/8
If 5 − 3p is negative:
-(5 − 3p) = 13p − 1
-5 + 3p = 13p − 1
-4 = 10p
p = -2/5
Alternatively, we can square both sides of the equation:
(5 − 3p)² = (13p − 1)²
25 − 30p + 9p² = 169p² − 26p + 1
0 = 160p² + 4p − 24
0 = 40p² + p − 6
0 = (5p + 2) (8p − 3)
p = -2/5 or 3/8
The answer is -2.75
-0.5m + 2.75m - 5m
(-0.5m + 2.75m) -5m
2.25m - 5m = -2.75
