Answer:
<em>x = 437.3 ft</em>
Step-by-step explanation:
<u>Right Triangles</u>
In right triangles, where one of its internal angles measures 90°, the trigonometric ratios are satisfied.
We have completed the figure below with the missing internal angle A that measures A = 90° - 29° = 61° because the lines marked with an arrow are parallel.
Given the internal angle A, we can relate the unknown side of length x with the known side length of 500 ft, the hypotenuse of the triangle. We use the sine ratio:


Solving for x:

Calculating:
x = 437.3 ft
Answer:
5 hours
Step-by-step explanation:
Electrician got 90 for the first hour from the total bill, thus we can say:
330 - 90 = 240 remaining for remaining hours
$60 per hour, so $240 for how many hours?? We divide:
240/60 = 4 hours
So, electrician works 4 hours for 60 per hour = 2 * 6 = 240
and 1 hour for 90 (first hour) = 1 * 90 = 90
Total Bill is 240 + 90 = 330 {exactly what we have}
So we have checked and back-worked our problem to get electrician's total hours of work:
1 + 4 = 5 hours
The inequality :y ≥ 2 x - 1We shall plug-in all the values:A ) - 3 ≥ 6 - 1- 3 ≥ 5 ⊥ ( not correct )
B ) - 5 ≥ 4 - 1- 5 ≥ 3 ⊥C ) - 5 ≥ 6 - 1- 5 ≥ 5 ⊥D ) 0 ≥ 0 - 10 ≥ - 1 T ( correct )E ) - 8 ≥ 10 - 1- 8 ≥ 9 ⊥F ) - 9 ≥ 10 - 1- 9 ≥ 9 ⊥Answer: D ) ( 0, 0 ).
Answer:
B
Step-by-step explanation:
y2-y1 / x2-x1
2+5/-3-1
-7/4