Answer:
<h2>
3y + 2 = 8</h2>
Step-by-step explanation:
solve A
2y - 3 = 19
2y = 22
y = 11
solve B
3y + 2 = 8
3y = 6
<h2>
y = 2</h2>
solve C
4y - 4 = -4
4y = 0
y = 0
solve D
5y + 1 = 10
5y = 9
y = 9/5
Answer:
The angle of elevation of the sun is 39⁰
Step-by-step explanation:
Given;
height of the tree, h = 96 ft
length of the shadow, L = 120 ft
|
| 96ft
|
|
θ------------------------------------
120ft
Completing this triangle to cut across the top of the tree gives you a right angled triangle with θ as the angle of elevation of the sun.
Apply trig-ratio to determine the angle of elevation of the sun;
tanθ = opposite side / adjacent side
tanθ = 96 / 120
tanθ = 0.8
θ = tan⁻¹(0.8)
θ = 38.7⁰
θ = 39⁰
Therefore, the angle of elevation of the sun is 39⁰
Answer:
Number of adult tickets sold= 100
Step-by-step explanation:
Giving the following information:
Adults tickets= $15
Student tickets= $10
Number of tickets sold= 150
Total sales= $2,000
<u>First, we determine the systems of equations:</u>
15*x + 10*y= 2,000
x + y = 150
x= number of adults tickets sold
y= number of students tickets sold
<u>Now, we isolate x in one equation, and substitute it in the other one:</u>
x= 150 - y
15*(150 - y) + 10y = 2,000
2,250 - 15y + 10y = 2,000
250 = 5y
50= y
x= 150 - 50
x= 100
<u>Prove: </u>
15*100 + 10*50= 2,000
100 + 50 = 150
Answer:
For the 12 sided one it would be 1/12
For the 6 sided one it would be 1/6
Combine those together and it would be <u>3/12</u> which is equal to <u>1/4</u>
Step-by-step explanation:
