Answer: 
Step-by-step explanation:
See the image attached, where "x" represents the height in feet of the hot air balloon.
Notice that:
To find the lenght of the side BC of the right triangle, you need to use the following Trigonometric Identity:
Observe that:
Substituting values and solving for "BC", you get:
Therefore "x" is:
The statement would be true
Answer:
x-y=5
Step-by-step explanation:
If a line has a slope of 1, its function can be write as x-y=c
insert point (7,2),t then we can find out the constant c=5, so the equation of this line is x-y=5
Notice that
• <em>π</em>/2 = <em>π</em>/3 + <em>π</em>/6
• <em>π</em>/6 = <em>π</em>/3 - <em>π</em>/6
Recall the angle sum identities for sine:
sin(<em>x</em> + <em>y</em>) = sin(<em>x</em>) cos(<em>y</em>) + cos(<em>x</em>) sin(<em>y</em>)
sin(<em>x</em> - <em>y</em>) = sin(<em>x</em>) cos(<em>y</em>) - cos(<em>x</em>) sin(<em>y</em>)
By adding these together, we get
sin(<em>x</em> + <em>y</em>) + sin(<em>x</em> - <em>y</em>) = 2 sin(<em>x</em>) cos(<em>y</em>)
==> sin(<em>x</em>) cos(<em>y</em>) = 1/2 (sin(<em>x</em> + <em>y</em>) + sin(<em>x</em> - <em>y</em>))
Now take <em>x</em> = <em>π</em>/3 and <em>y</em> = <em>π</em>/6 :
sin(<em>π</em>/3) cos(<em>π</em>/6) = 1/2 (sin(<em>π</em>/2) + sin(<em>π</em>/6))
So the blank should be filled with cos.
Answer:
The largest factor that can be pulled out of that expression is 20x, giving you 20x(x² - 2x + 4)
Step-by-step explanation:
20x³ - 40x² + 80x
= 20x(x² - 2x + 4)
