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.
Answer:
Integers, and rational numbers
Step-by-step explanation:
Integers are any positive or negative whole numbers
Rational numbers are any positive or negative numbers
Whole numbers are any positive whole numbers
Real numbers are any positive whole numbers but doesn’t include 0
Answer:
-2 1/6 + -3 1/3 + -5 1/2 = -11
Step-by-step explanation:
-2 + -3 + -5 = -10
-1/6 +- 1/3 + -1/2 = -1
-10+-1=-11
