Answer:
The arc length is 87.5 inches.
Step-by-step explanation:
Given that,
Arc length = S = ?
Angle = theta = 100°
Radius = r = 50 inches
The relation between the arc length (S), angle (theta) and radius (r) is calculated using
However, the angle should be in radian.
To convert degrees into radian, we use:
=>
=> 1.75 radian
By putting values in the above relation, we get
Therefore, the arc length is 87.5 inches.
Answer:
Step-by-step explanation:
D(A,B) = √(x2 - x1)^2 + (y2 - y1)^2
d(A,B) = √(-3 - 4)^2 + (5 - 5)^2
d(A,B) = 7
12% of 68 is 8.16. In order to find this answer you must change 12% into a decimal (.12) and then multiply by 68. (68×.12=8.16).
Let x = ribeye steak cost, y = grilled salmon cost. With this we set up two equations:
17x + 16y = 571.16
21x + 8y = 583.22
We must now pick which dinner we could like to find the cost of first. I choose the ribeyes. To do so, I'm going to divide the first equation by - 2. I will explain why:
- 8.5x - 8y = - 285.58
21x + 8y = 571.16
Now we combine like terms. Notice that the y-variables cancel each other out. This why I divided by - 2. It causes this cancellation leaving us with only one variable to solve. This gives us:
12.5x = 297.64
Divide both sides by 12.5 to isolate variable x.
x = 23.8112 or x ≈ 23.81. I round two decimal points since we're dealing with money.
Now, we plug this cost into either of the two equations and solve for variable y. I'll use the first one.
17(23.81) + 16y = 571.16
404.77 + 16y = 571.16
Subtract 404.77 from both sides to isolate the variable and its coefficient.
16y = 166.37
Divide by 16 on both sides to get rid of the coefficient
y ≈ 10.3993 or y ≈ 10.40 since we're dealing with money.
Cost of ribeye steak -- $23.81
Cost of grilled salmon -- $10.40