Answer:
18
Step-by-step explanation:
x² = 16² + 30² - 2(16)(30)cos 30°
x² = 256 + 900 - 960(0.866)
x² = 1156 - 831.36
x² = 324.64
x = 18.02
Approx. 18
Please mark my answer as brainliest
Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find b:
Reference angle = 45
opposite = 8
Hypotenuse = b
Thus,
Sin(45) = 8/b
b = 8/sin(45)
b = 8/(1/√2) (sin 45 = 1/√2)
b = 8 × √2/1
b = 8√2
✔️Find a using trigonometric ratio:
Reference angle = 60°
Hypotenuse = b = 8√2
Adjacent = a
Therefore,
Cos(60) = a/8√2
8√2*cos(60) = a
8√2*½ = a
4√2 = a
a = 4√2
✔️Find c using Pythagorean Theorem:
c² = b² - a²
c² = (8√2)² - (4√2)²
c² = 128 - 32
c² = 96
c = √96
c = √(16*6)
c = 4√6
Answer:
slope = 4/1 or 4
Step-by-step explanation:
(2, 14)
(1, 10)
Formula = 
14-10 over 2 -1
4/ 1 = 4
100feet below is your answer I think
Answer:
Let the amount of Danny be y
Therefore, lance will have 1/3y
Total fraction of cup is 1/1
y+y/3=1
4y/3=1
4y=3
y=3/4
therefore, lance had 3/4 of the cup of water
