Answer:

Step-by-step explanation:
we know that
In the right triangle ABC
The function sine of angle 68 degrees is equal to divide the opposite side SB by the hypotenuse AC
so

substitute the values and solve for AC



Answer: 2.76 g
Step-by-step explanation:
The formula to find the standard deviation:-

The given data values : 560 g, 562 g, 556 g, 558 g, 560 g, 556 g, 559 g, 561 g, 565 g, 563 g.
Then, 
Now, 
Then, 
Hence, the standard deviation of his measurements = 2.76 g
Answer:
-5/6
Step-by-step explanation:
-1 2/3=-5/3
-5/3+5/6=-10/6+5/6=-5/6
We have been given a system of inequalities and an objective function.
The inequalities are given as:

And the objective function is given as:

In order to find the minimum value of the objective function at the given feasible region, we need to first graph the region.
The graph of the region is shown below:
From the graph, we can see that corner points of the feasible region are:
(x,y) = (15,30),(30,15) and (30,60).
Now we will evaluate the value of the objective function at each of these corner points and then we will compare which of those values is minimum.

Hence the minimum value of objective function is 975 and it occurs at x = 15 and y = 30
10 1/2-4 1/4= 6 1/4. 6 1/4-3 2/3= 2 7/12. They used 2 7/12 ft or 2ft 7in of wood to fix the stairs.