Answer: 530.66 units²
<u>Step-by-step explanation:</u>

In all right triangles, the ratio between a leg and the hypothenuse is the sine of the angle opposite to the leg.
So, in your case, we have

In order to find XY, we have

So, the ratio for the sine is

Answer:
Explanation:
1. <u>Given</u>: 52 = 4(8m - 5) - 8(m - 6)
2. <u>Distributive property</u> on the two binomials: multiply 4 times each term inside the first binomial and multiply - 8 times each term inside the second binomial:
3. <u>Combine like terms</u>: 32m and -8m are a pair of like terms; - 20 and + 48 are other pair of like terms:
4. <u>Subtraction property of equality</u>: subtract 28 from both sides:
5. <u>Simplify</u>:
6. <u>Division property of equality</u>: divide each side by 24
7. <u>Simplify</u>:
8. <u>Symmetric property</u>:
Answer: The y- intercept is -2. The x-intercept is 2/3
The attachment shows the solutions.
Step-by-step explanation: The y-intercept is the "b" term in the slope-intercept form of the equation. To find the x-intercept, substitute 0 for the output and solve for x.
0 = 3x -2 . Add 2 to both sides
2 = 3x . Divide both sides by 3
2/3 = x the x-intercept is 2/3
To find f(-5) substitute -5 for x and solve.
f(-5) = 3(-5) -2
f(-5) = -15 -2
f(-5) = -17