Answer:
A
Step-by-step explanation:
In a right triangle, the side opposite to the 90 degree angle (here, side opposite to angle A) is known as the hypotenuse.
Also, the side that is "opposite" to the angle given (here side opposite is y to angle given 30 degrees) is the opposite side.
Since we want to find "opposite" and have "hypotenuse" , recalling trig ratios, we can say opposite/hypotenuse is the ratio SINE, so we can write:
We solve for y:
Since the answer choice has angles in radians, we recall 30 degrees is 
radians.
Thus, the correct answer is 
, or option A
Answer:9:00 pm
Step-by-step explanation:
Start time: 7:20pm
Duration of movie: 1 hour 40minutes
End time= 7:20 + 1:40
= 8:60 = 9:00pm
60 minutes make 1 hour.
<span> Let x = the width
Let 2x = the length
Let h = the height
</span>then vol = x*2x*h. So we have 2x^2*h = 24
h=24/(2*x^2)=12/x^2
Surface area: two ends + 1 bottom + 2 sides (no top)
S.A. = 2(x*h) + 1(2x*x) + 2(2x*h)
S.A. = 2xh + 2x^2 + 4xh<span> S.A. = 2x^2 + 6xh
</span>Replace h with 12/x^2
S.A = 2x^2 + 6x(12/x^2)
S.A = 2x^2 + 6(12/x)
S.A = 2x^2 + (72/x)
Graph this equation to find the value of x for minimum material
Min surface area when x = 3.0 is the width<span> then
</span>2(3) = 6 is the length
Find the height:
h=12/(3.0)^2
h=1.33
Box dimensions for min surface area: 3.0 by 6 by 1.33; much better numbers
Check the vol of these dimensions: 3.0*6*1.33 ~ 24
graphic attachment
Answer:
Bro write the question better
Step-by-step explanation:
The total price would be $3.56 times however many you bought, so the correct equation would be x = 3.56k.
