Answer:
x = 5√3; y = 5
Step-by-step explanation:
Finding y: The sine function links the 30° angle, the 10 unit hypotenuse and the side opposite the angle, y:
sin 30° = 1/2 = y/10
Solve the equation of ratios
1 y
-- = ----- using cross-multiplication first: 2y = 10 → y = 5
2 10
We can now find x either by using a similar approach and the cosine function or by using the Pythagorean Theorem:
x² + y² = 10² = 100 → x² = 100 - y² = 100 - 5² = 75
If x² = 75, then x = ±√75 = ± (√25)·(√3) → ±5√3
Since lengths are always positive, take x = 5√3 as the answer.
12 - all divisible by it (2*12=24, 3*12=36, 12*5=60)
Answer:
$88.75
Step-by-step explanation:
since he bought two tickets for $25.5 each you have to do 2(25.50) and since he also spent $10 and $27.75 you have to add that as well.
y=2(25.50)+10+27.75
y=51+10+27.75
y=61+27.75
y=88.75
2/3 + 5/6
= 4/6 + 5/6
= 9/6
= 3/2
A. 3/2
Answer:
1,2,3
Step-by-step explanation:
