Answer:
Step-by-step explanation:
<u>The first equation:</u>
<u>The second equation:</u>
<u>Convert to slope-intercept form:</u>
- x + 2y = 23 ⇒ 2y = -x + 23 ⇒ y = -1/2x + 11.5
- 2x + 3y = 39 ⇒ 3y = -2x + 39 ⇒ y = -2/3x + 13
<em>The graph is attached</em>
<u>Intersection point is (9, 7)</u>
- Adult tickets cost $9
- Child tickets cost $7
<span>Table:
Class Boundaries Frequency
5-10 8
10-15 9
15-20 15
20-25 10
25-30 8
30-35 6
----------
total 56
Average =
[5+10]/2*8+[10+15]/2*9+[15+20]/2*15+[20+25]/2*10+[25+30]/2*8+[30+35]/2*6
---------------------------------------------------------------------------------------------------
</span> 56
That is 1075 / 56 = 19.2
Answer: 19
Answer:
x=4
Step-by-step explanation:
We can find the length of RT by using the Pythagorean theorem
sin theta = opposite side/ hypotenuse
sin 60 = 2 sqrt(3)/ RT
Multiply each side by RT
RT sin 60 = 2 sqrt(3)
Divide by sin 60
RT = 2 sqrt(3)/ sin 60
RT = 4
Then
tan theta = opposite side/ adjacent side
tan 45 = x/RT
tan 45 = x/4
4 tan 45 = x
4 = x
