Using the Law of Sines (sina/A=sinb/B=sinc/C for any triangle)
sinR/30=sin96/54
sinR=30sin96/54
R=arcsin(30sin96/54)°
R≈33.5° (to nearest tenth of a degree)
The group lost 28/7 = 4 kilograms of weight each day.
1 kilogram = 2.2 pounds
4 kilograms = 2.2 x 4 = 8.8 pounds
The estimate of the given subtraction operation is 27,000
<h3>Estimating the value of numbers </h3>
From the question, we are to estimate the value of given operation. The operation is a subtraction operation.
The given subtraction operation is,
46,214 - 18,941
First, we are to round each number to the nearest thousand.
Round 46,214 to the nearest thousand
46,214 ≈ 46,000
Also,
Round 18,941 to the nearest thousand
18,941 ≈ 19,000
Now, subtract
46,000 - 19,000 = 27,000
Hence, the estimate of the given subtraction operation is 27,000
Learn more on Estimating Numbers here: brainly.com/question/17178459
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<h3>
Answer: 30,240</h3>
This is is one value (and not two values separated by a comma) and it's slightly over 30 thousand.
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Explanation:
There are n = 9 letters in the word "PEPPERONI"
If we could tell all the letters apart, there would be 9! = 9*8*7*6*5*4*3*2*1 = 362,880 permutations, and that would be the answer.
However, we have repeated letters that we cannot tell apart. The P shows up a = 3 times, and the E shows up b = 2 times. So we need to divide by a!*b! = 3!*2! = 6*2 = 12 to correct for the overcounting. That leads to the final answer of (362,880)/(12) = 30,240
