Answer:
The answer to your question is the letter D) 46°
Step-by-step explanation:
Data
length = 25 ft
Opposite side = 18 ft
Angle = Ф
To solve this problem, use trigonometric functions. The trigonometric function that relates the Opposite side and the hypotenuse is sine.
Sin Ф = Opposite side / hypotenuse
-Substitution
sin Ф = 18/25
-Simplification
sin Ф = 0.72
-Result
sin⁻¹ Ф = 0.72 = 46°
Since they both have 3x terms subtract the second from the first to get rid of the x terms...
3x+2y=10
-3x+y=-13
__________
3y=-3
y=-1, which makes 3x+2y=10 become: 3x-2=10 so
x=4
So the solution is the point (4, -1)
Answer:
- ∠R = 56°
- ∠Q = 90°
- ∠S = 34°
Step-by-step explanation:
The given triangle is a right angled triangle.
So, the angles in the triangle are :
- 90°
- (2x + 38)°
- (5x - 11)°
Solving according to <u>angle sum property</u>,
Sum of all angles in a triangle is 180°
90° + (2x + 38)° + (5x - 11)° = 180°
117° + 7x = 180°
7x = 180° - 117°
7x = 63°
x = 9
Angles =
2(9) + 38
56°
5(9) - 11
34°
- ∠R = 56°
- ∠Q = 90°
- ∠S = 34°
The angles are 56°, 90° and 34°.
Answer: 192 people
Step-by-step explanation:
We can set up a ratio.
Let x be the number of men working in the company.

We can cross umltiply.
360 = 5x
x = 72 men.
Therefore, the total number of employees = 120 women + 72 men
= 192 people.