6 sin θ - 3 csc θ = 0
6 sin θ = 3 csc θ = 3/sin θ
6 sin^2 θ = 3
sin^2 θ = 3/6 = 1/2
sin θ = sqrt(1/2)
θ = arcsin(sqrt(1/2)) = 45 degrees.
θ = 45°
Answer:
Solution given:
1.
diameter(d)=6mm
base(b)=8mm
height (h)=5mm
Area of figure=area of parallelogram +area of semi circle
- base*height+½π(d/2)²
- 8*5+½*π×(6/2)²
- 40+14.14
- 54.4mm²
- <u>Area</u><u> </u><u>:</u><u>5</u><u>4</u><u>.</u><u>1</u><u>4</u><u>m</u><u>m</u><u>²</u>
2.
for triangle
base[b]=6ft
height(h)=9ft
for square
length[l]=9ft
Area of figure=area of square +area of triangle
- =l²+½*b*h
- =9²+½*6*9
- =81+27
- =108ft²
- <u>Area</u><u>:</u><u> </u><u>1</u><u>0</u><u>8</u><u>f</u><u>t</u><u>²</u>
Answer: He could have played more than 3 games.
Step-by-step explanation:
Hi, to answer this question we have to write an inequality.
I golf club charges $10 to join and $5 per game: So, the cost of playing golf is equal to $10 (joining price) plus the product of the number of games played (x) and the price per game (5).
That expression must be higher than 25, since john paid more than $25.
Mathematically speaking
10+ 5 x > 25
Solving for x
5x >25-10
5x >15
x >15/5
x> 3
He could have played more than 3 games, since his cost was higher ( not equal or higher) than 25.
Answer:
G is 35.
Step-by-step explanation:
You can make the equation 93 = g + 58. In order to find the variable g, you have to isolate it. So you can subtract 93 by 58 and you get 35. To double check your work, just plug in your answer in g.
93 = 35 + 58
93 = 93 ✔️
The answer is 35.
