Answer: The square root of 8 is expressed as √8 in the radical form and as (8)½ or (8)0.5 in the exponent form. The square root of 8 rounded up to 8 decimal places is 2.82842712. It is the positive solution of the equation x2 = 8.
Step-by-step explanation:
Given:
The data values are
11, 12, 10, 7, 9, 18
To find:
The median, lowest value, greatest value, lower quartile, upper quartile, interquartile range.
Solution:
We have,
11, 12, 10, 7, 9, 18
Arrange the data values in ascending order.
7, 9, 10, 11, 12, 18
Divide the data in two equal parts.
(7, 9, 10), (11, 12, 18)
Divide each parenthesis in 2 equal parts.
(7), 9, (10), (11), 12, (18)
Now,
Median = 
=
=
Lowest value = 7
Greatest value = 18
Lower quartile = 9
Upper quartile = 12
Interquartile range (IQR) = Upper quartile - Lower quartile
= 12 - 9
= 3
Therefore, median is 10.5, lowest value is 7, greatest value is 18, lower quartile 9, upper quartile 12 and interquartile range is 3.
Answer:
56√2 ≈ 79.20
Step-by-step explanation:
The hypotenuse of an isosceles right triangle is √2 times the side length, so the side length here is ...
s·√2 = 28
s = 28/√2
The perimeter is 4 times the side length, so is ...
P = 4s = 4·28/√2
= 4·28·(√2)/2 . . . . . multiply by (√2)/(√2) to rationalize the denominator
= 56√2 ≈ 79.195959
The perimeter of the square is 56√2, about 79.20 units.
Answer: 13.7
Step-by-step explanation:
Answer:
Value of Y = 5√2 units
Step-by-step explanation:
Given:
Perpendicular = X
Base = Y
Hypotenuse = 10
Find:
Value of Y
Computation:
Cos θ = Base / Hypotenuse
Cos 45 = Y / 10
1/√2 = Y / 10
Value of Y = 5√2 units