Explanation:
tan(arctan x) = x
This is because arctan is the reciprocal of tan. You can view this as the same as 5(1/5x) = x. Since they are reciprocals, when they are multiplied by each other, they cancel each other out.
Answer:
a = 1000 cm²
Step-by-step explanation:
Center square
20 * 20 = 400cm²
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Triangle side
a = (1/2)(20)(15)
a = 150
There are 4 sides
a = 4 * 150
a = 600 cm²
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Total area
a = 400 - 600
a = 1000 cm²
To find the inverse, interchange the variables and solve for y.
f^−1(x)=−25+5x/2
Answer: The median is 30.
1.) Line up each number in numerical order based on the data set.
- 27, 28, 28, 29, 29, 29, 30, 30, 30, 31, 31, 31, 33, 34.
2.) Cross out the numbers from inside out. (Find the middle number.)
- Because the data set has an even amount of numbers, you are left with 2 middle numbers. (30 & 30)
- In this case, you add the numbers together (30 + 30) and divide them by 2. (60/2)
- You end with the result of 30, therefore your answer (the median) is 30.
Answer:
84
Step-by-step explanation:
Pretend her first 3 quizzes were all 83 since that was the average. So the 4th was 87.
83+83+83+87 = 336
Divide by the total number of quizzes because they are equally weighted.
336/4 = 84
Her new average score is 84.
