Answer:
1) -95.
2) 15.
3) The conference center is on floor 5.
Step-by-step explanation:
1) Evaluating gives 
2) Substituting gives 
3) After going 4 floors down, we are on level -4. After going 9 floors up to the desired room, we are on level -4+9=5. So the conference center is on floor 5.
Answer:
Plan B
Step-by-step explanation:
Let's calculate the amount required for each plan
<h3>Plan A</h3>
- 0.15*200 + 0.10*100 = $40
<h3>Plan B</h3>
- 15 + 200*0.05 + 100*0.05 = $30
As we see Plan B costs less
Lets solve for x.
0.8x = 50. - Remember that the jacket was 80% of the original price.
Thus, divide by x.
x = 50 / 0.8
x = 62.5
X = height of pole (in meters)
With respect to the 50 degree angle, the side x is the opposite leg. It is the leg furthest from the reference angle. The hypotenuse is 5 meters.
The trig function sine ties together the opposite and hypotenuse
sin(angle) = opposite/hypotenuse
sin(50) = x/5
5*sin(50) = x .... multiply both sides by 5
x = 5*sin(50)
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Since x = 5*sin(50) isn't listed as an answer choice, let's try using cosine. We can't use it right away because we don't know the adjacent side. What we can do is change the reference angle. The missing angle of the triangle is 90-50 = 40 degrees. Let's make the 40 degree angle the reference angle
So x is now the adjacent side with respect to the 40 degree reference angle. The hypotenuse is always the longest side. The hypotenuse stays at 5.
cos(angle) = adjacent/hypotenuse
cos(40) = x/5
5*cos(40) = x
x = 5*cos(40)
This expression is listed. The answer is choice B
<span>4x+2(3x-9)=42
first we want to distribute the 2 using the distributive property
4x+6x-18=42
Then we simplify
</span><span>10x-18=42
we add 18 to both sides
10x=60
divide both side by 10
x=6</span>
