Answer:
x = 21.2 ft
Step-by-step explanation:
x = tanФ h
h = 50
Ф = 23°
x = tan(23°) * 50
x = 21.2 ft
Answer:

Step-by-step explanation:
So the chance of getting yellow is 0.25
Getting it once is 0.25
Getting it twice is 0.25 • 0.25
Not getting it is 0.75
So we have 0.25 • 0.25 • 0.75 • 0.75 • 0.75 = 
Answer:
Formula for the Arc length is given by:

As per the statement:
radius of circle(r) = 6 units
Angle (
) =
radian
Use conversion:

= 
then;
substitute these given values we have;
Use value of 

or

Simplify:

Therefore, the arc length of the arc substended in a circle with radius 6 units an angle of 7 pi/8 is 16.485 units
For starters, create an equation to show David's earnings. We can do this using Danielle's as a basis, which is set up as y=(# of hours)x+(bonus). This gives us y=12x+80. Now, as we need both their ys to be equal, we just set both equations equal to each other, making 15x+50=12x+80. Now, we solve for x, starting with 15x+50=12x+80, subtracting 12x from both sides to get 3x+50=80, subtracting 50 from both sides to get 3x=30, and dividing three from both sides to get x=10. To check, we just plug in our answer to both equations and see if the ys match up. With Danielle's equation, we get y=15(10)+50=150+50=200 and with David's equation, we get y=12(10)+80=120+80=200, proving that our answer is correct.
Answer:The GCF of 14 and 35 is 7. To identify the GCF of 14 and 35, we first need to list all of their factors: 14: 1, 2, 7, 14. 35: 1, 5, 7, 35.