A=43°
B=82°
c=28
1) A+B+C=180°
Replacing A=43° and B=82° in the equation above:
43°+82°+C=180°
125°+C=180°
Solving for C. Subtracting 125° both sides of the equation:
125°+C-125°=180°-125°
C=55° (option B or C)
2) Law of sines
a/sin A=b/sin B=c/sin C
Replacing A=43°, B=82°, C=55°, and c=28 in the equation above:
a/sin 43°=b/sin 82°=28/sin 55°
2.1) a/sin 43°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 43°:
sin 43°(a/sin 43°)=sin 43°(28/sin 55°)
a=28 sin 43° / sin 55°
Using the calculator: sin 43°=0.681998360, sin 55°=0.819152044
a=28(0.681998360)/0.819152044
a=23.31185549
Rounded to one decimal place
a=23.3
2.2) b/sin 82°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 82°:
sin 82°(b/sin 82°)=sin 82°(28/sin 55°)
b=28 sin 82° / sin 55°
Using the calculator: sin 82°=0.990268069, sin 55°=0.819152044
b=28(0.990268069)/0.819152044
b=33.84903466
Rounded to one decimal place
b=33.8
Answer: Option B) C=55°, b=33.8, a=23.3
<span>5.5*10^5 = 550,000 tons
</span><span>$23,000 per ton
</span>
23,000 x 550,000 = <span>$12,650,000,000 (total value)
</span>Now to convert to scientific notation.
<span>1.265 x 10^10
</span>
Hope that was useful :)
Answer:
An we can use the normal standard table and the following difference and we got this result:
Step-by-step explanation:
Assuming this statement to complete the problem "with a standard deviation 5 mpg"
We have the following info given:
represent the mean
represent the deviation
We have a sample size of n = 54 and we want to find this probability:
And for this case since the sample size is large enough >30 we can apply the central limit theorem and then we can use this distribution:
And we can use the z score formula given by:
And replacing we got:
An we can use the normal standard table and the following difference and we got this result:
Answer:
Slope = 1
Step-by-step explanation:
The table gives the values of y corresponding to the values of x.
At x =5, y = 2.
At x = 7, y = 6 and
At x = 10, y = 7
Now, we have to determine the slope between points where x = 5 and where x = 10.
Now, the two concerned points are (5,2) and (10,7) and we have to find the slope between those two points.
Now, slope, 
(Answer)
38 rounds to 40.
29 rounds to 30.
40 x 30 = 120.
