All you do is add up the sides of the walls, and you get your answer.
<3.
OG.
Answer:
-1 Not in domain
0 In domain
1 In domain
Step-by-step explanation:
The domain for the square root function is all positive numbers including (0). The domain is the set of real numbers which when substituted into the function will produce a real result. While one can substitute a negative number into the square root function and get a result, however, the result will be imaginary. Therefore, the domain for the square root function is all positive numbers. It can simply be expressed with the following inequality:
Therefore, one can state the following about the given numbers. Evaluate if the number is greater than or equal to zero, if it is, then it is a part of the domain;
-1 => less than zero; Not in domain
0 => equal to zero; <em> </em>In domain
1 => greater than zero: In domain
Longer leg = x + 4
Shorter leg = x
Hypotenuse = x + 8
Using Pythagorean Theorem:
a^2 + b^2 = c^2
(x + 4)^2 + x^2 = (x + 8)^2
x^2 + 8x + 16 + x^2 = x^2 + 16x + 64
2x^2 + 8x + 16 = x^2 + 16x + 64
2x^2 +8x = x^2 + 16x + 48
2x^2 - 8x = x^2 + 48
x^2 - 8x = 48
x^2 - 8x - 48 = 0
You can complete the square from here or use the quadratic formula.
Completing the square:
x^2 - 8x = 48
x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2
x^2 - 8x + 16 = 48 + 16
(x - 4)(x - 4) = 64 or (x - 4)^2 = 64
x - 4 = +√64 OR x - 4 = -√64
x - 4 = +8 OR x - 4 = -8
x = 12 OR x = -4
However, you can't use negative 4 as a length because your length needs to be a positive.
So x will be 12.
Shorter leg: 12
Longer leg: 12 + 4
Hypotenuse: 12 + 8
First, order the number set from least to greatest:
3 , 4 , 4 , 7 , 8 , 9 , 12 , 14 , 16 , 20
Mean: You find the mean by combining all the terms, and dividing by the amount of the terms there are in the number set:
(3 + 4 + 4 + 7 + 8 + 9 + 12 + 14 + 16 + 20)/10
(97)/10 = 9.7
Mean: 9.7
Median: You find the median by first ordering the number set from least to greatest, and finding the middle number. Note that if there is a even number of numbers in the set, you find the mean with the two given median digits:
8 & 9 are the median numbers:
(8 + 9)/2 = (17)/2 = 8.5
Median: 8.5
Mode: The mode is the number(s) in the set that shows up the most:
Mode: 4 (shows up one more time than all other numbers)
Range: The range can be found by subtracting the least number from the greatest number in the number set:
Range: 20 - 3 = 17
Range: 17
~
Answer:
298.258
Step-by-step explanation:
- 8×60 =480 ÷1.609
