1. sqrt 52 = 7.211 rounds to 7
2. irrational number
3. sqrt 441 = 21....rational
4. 12^2 + 3^2 = h^2
144 + 9 = h^2
153 = h^2
sqrt 153 = h
12.4 = h <===
5. 6^2 + b^2 = 18^2
36 + b^2 = 324
b^2 = 324 - 36
b^2 = 288
b = sqrt 288
b = 16.97 rounds to 17 <==
6. 39^2 + 52^2 = c^2
1521 + 2704 = c^2
4225 = c^2
sqrt 4225 = c
65 = c
(39 + 52) - 65 = 91 - 65 = 26 miles shorter <==
7. 4^2 + b^2 = 16^2
16 + b^2 = 256
b^2 = 256 - 16
b^2 = 240
b = sqrt 240
b = 15.49 rounds to 15.5 <==
8. ?
Answer and Step-by-step explanation:
7. 70 - 180 = 110
8. 39 - 180 = 141
9. 81 - 180 = 99
10. 81 - 180 = 99
11. 115 - 180 = 65
12. 41+36 = 77 - 180 = 103
x = answer
Answer:
x = 4
Step-by-step explanation:
Since the triangle is right, solve for x using Pythagoras' identity, that is
x² = 8² + 4² = 64 + 16 = 80
Take the square root of both sides
x =
=
=
×
= 4
← exact value
Answer: Question 1.1: It is 1.5 standard deviations away from the mean.
Our value of 26 is 6 units about the mean of 20. If each standard deviation is 4, we just divide 6 by 4. This gives us the number of standard deviations.
Question 2.2 The correct answer is -0.52
If we are 0.52 standard deviations below the mean, then our z-score is simply -0.52. The definition of a z-score is the number of standard deviations from the mean.
Factors of 12 : 1, 2, 3, 4, 6, 12
Factors of 20: 1, 2, 4, 5, 10, 20
In both lists of factors, 4 is in common. Therefore, the value of K is 4 because it can divide into both 12 and 20 without a remainder. 2 is also another possible value of K.