ANSWER
EXPLANATION
The outermost square tile has side length,
The area of a square is given by;
We substitite the given expression for the side length into the formula to obtain,
We expand using the distributive property to obtain;
This gives us:
The last choice is correct.
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.
Yes if they relate to one another using an = sign
Answer + Explanation:
let x be the measure of angle x
let y be the measure of angle y
Now, solve:
plug x = 24 + y into x + y = 180
24 + y + y = 180
24 + 2y = 180
2y = 156
y = 78
Now, plug this back into the equation x = 24 + 78
x = 102
