Answer:
f(x) > -x + 2
Step-by-step explanation:
First I found the equation of the line.
The y intercept is at 2 so I know to add 2 at the end
The slope is -1 since it is going downwards
Since the top side is shaded, that represents greater than, if it was shaded downwards, it would be less than
Putting all that together, the equation is f(x) > -x + 2
It is $7. Anything average 5 you need to round up
The expectation would be that the player would not get much money. 3, 4, 5, 6, 8, 9, 10, and 11 does not get a lot due to the entrance fee of $3. 20 - 3 = 17. 5 - 3 = 2.
<span>In triangle XYZ,
angle X=46 degrees,
XZ = 10 units and
YZ=8 units.
We will find the length of XY using cosine rule:
According to cosine rule:
a² = b² + c² - 2bc cosA (the figure is attached)
Here, A = 46 degree.
a = 8 units.
b <span>= ?
</span>c = 10 units.
</span>⇒ b² = c² - a² -2bc cosA
⇒ b² = 100 - 64 - 160*cos(46)
⇒ b² = 100 - 64 - 160*0.69
⇒ b² = 100 - 64 - 110.4
⇒ b² = 100 - 64 - 110.4
⇒ b² = 74.4
or b = 8.62 units.
or b = 8 untis approximately.
Answer:
sin(2θ) = 24/25
Explanation:
In order to find the value of sin 2θ, first, recall the double-angle formula for sine.

From the right-triangle:

Substitute these values into the double-angle formula obtained earlier.

The exact value of sin(2θ) is 24/25.