Answer: fifty four degrees (54)
Step-by-step explanation: Using the law of sines you'd multiply both sides by b then plug in the known values... sin(B)= 9/11xsin(80degrees). Then, you'd evaluate to find B and after solving you'd reach 54
Answer:
5:36
Step-by-step explanation:
12 inches = 1 foot, so 6 feet = 72 inches
10:72, reduces to 5:36
<h2>
Dimension of box is 2 m x 2 m x 1.33 m</h2>
Step-by-step explanation:
Let a be base side and h be the height.
Volume of box, V = a²h
The sides of the box will cost $3 per m² and the base will cost $4 per m². Cost for making is $48.
That is
4a² + 3 x 4 x a x h = 48
4a² + 12 a x h = 48
a² + 3 ah = 12

So volume is

At maximum volume we have derivative is zero,

Negative side is not possible, hence side of square base is 2m.
Substituting in a² + 3 ah = 12
2² + 3 x 2 x h = 12
h = 1.33 m
Dimension of box is 2 m x 2 m x 1.33 m
Answer:
n = - 2
Step-by-step explanation:
Given
- 6n - 2n = 16, that is
- 8n = 16 ( divide both sides by - 8 )
n = - 2
Answer:
x = ± 
Step-by-step explanation:
To find the zeros equate the polynomial to zero, that is
x² - 7 = 0 ( add 7 to both sides )
x² = 7 ( take the square root of both sides )
x = ±
Thus the exact solutions are
x = -
, x = 