The dimensions would be 28.9 for the steel length and 28.8 for the pine boards, for a total cost of $403.40.
To maximize area and minimize perimeter, you want a figure that is as close to equilateral as you can get. Therefore we take the square root of our area:
√833 = 28.9.
Dividing 833/28.9 we get 28.8.
We want to use the shorter side, 28.8, for the pine boards, as they cost more. 28.8*2*6 = 345.60.
The cost of the steel side is given by 28.9*2 = 57.80.
Together it costs 345.60+57.80 = 403.40.
Answer:
102 degrees
Step-by-step explanation:
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If you roll a six sided dice once, each outcome has a 1/6 probability.
This means 4 has a 1/6 probability.
If you roll a dice 1200 times....
1200 × 1/6 = 1200/6 = 200
You would expect to get a 4 200 times.
Answer:
Step-by-step explanation:
Vertical Angles are congruent, so set the two expressions equal to each other:
[x + 30]° = [3x - 18]°
-[3x]° - [3x]°
___________
−18° = 30° - [2x]°
- 30° - 30°
____________
−48° = [−2x]°
____ ___
−2° −2°
[Plug this back into both expressions to get both <em>m</em>∠<em>N</em> and <em>m</em>∠<em>M</em> at 54°.]
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