Answer:
Step-by-step explanation:
Formula for slope
As the Line AB contains points A (8, −4) and B (1, −5).
Put points value in the above
Answer:
Step-by-step explanation:
Use the trigonometry formula
You are given that
Substitute into the first formula
Angle 
is acute angle, then the sine of this angle is positive and
Answer:
The answer is C
Step-by-step explanation:
12-(-2)=10 -6+14=8 1+5=6 -10+15=5
Answer:
2.29 ft of side length and 1.14 height
Step-by-step explanation:
a) Volume V = x2h, where x is side of square base and h is hite.
Then surface area S = x2 + 4xh because box is open.
b) From V = x2h = 6 we have h = 6/x2.
Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.
We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.
Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.
To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.
And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2
Answer:
Ya, Its B.
Step-by-step explanation:
You divide the centimeter value you buy a 100 to get the meter value
