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Dmitry_Shevchenko [17]
3 years ago
11

HELP ASAP 30 POINTS

Mathematics
1 answer:
yarga [219]3 years ago
3 0

D. John Felton kills the Duke of Beckingham

Here is some proof: https://en.wikipedia.org/wiki/John_Felton_(assassin)

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Find the area of the triangle<br> 1. C=110 degrees, a=6, b=10<br> 2. B=130 degrees, a=92, c=30
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1.\ \ \ |\angle \ ACB|=110^0\\\\.\ \ \ \ \ a=|BC|=6\ [u]\ \ \ and\ \ \ b=|AC|=10\ [u]\\\\Area= \frac{1}{2} \cdot |AC|\cdot |BC|\cdot sin(|\angle \ ACB|)\\\\Area= \frac{1}{2} \cdot 6\cdot 10\cdot sin110^0=30\cdot sin (180^0-70^0)=\\\\.\ \ \ \ \ \ =30\cdot sin70^0\approx30\cdot 0.9397=28.191\ [u^2]\\\\

2.\ \ \ |\angle \ ABC|=130^0\\\\.\ \ \ \ \ a=|BC|=92\ [u]\ \ \ and\ \ \ c=|AB|=30\ [u]\\\\Area= \frac{1}{2} \cdot |AB|\cdot |BC|\cdot sin(|\angle \ ABC|)\\\\Area= \frac{1}{2} \cdot 30\cdot 92\cdot sin130^0=1380\cdot sin (180^0-50^0)=\\\\.\ \ \ \ \ \ =1380\cdot sin50^0\approx1380\cdot 0.7660=1057.08\ [u^2]\\\\
5 0
2 years ago
At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students, and 28 chose social studies as their favorite. He us
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Answer:

No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90.

Step-by-step explanation:

At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students from each grade level for their favorite subject.

   90 randomly selected students from each grade level for their favorite subject, and 28 chose social studies as their favorite.

so, the percent of students who love social studies is given by:

28/90 x 100=31.11%

   He used this data to draw the inference that out of the 250 middle school students, about 20% prefer social studies.

No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90.

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