Answer:
Step-by-step explanation:
The ladder forms a right angle triangle with the wall and the ground. The height of the ladder represents the hypotenuse of the right angle triangle.
Let x represent the distance from the top of the ladder to the bottom of wall. This forms the opposite side of the triangle.
The distance from the top of the ladder to the bottom of wall is 7ft more than the distance from the bottom of the ladder to the wall. This means that the distance from the bottom of the ladder to the wall is x - 7. It represents the adjacent side of the triangle.
To find the distance from the bottom of the ladder to the wall, we would apply Pythagorean theorem.
Hypotenuse² = opposite² + adjacent²
13² = x² + (x - 7)²
169 = x² + x² - 14x + 49
169 = 2x² - 14x + 49
2x² - 14x + 49 - 169 = 0
2x² - 14x - 120 = 0
Dividing through by 2, it becomes
x² - 7x - 60 = 0
x² + 5x - 12x - 60 = 0
x(x + 5) - 12(x + 5) = 0
(x - 12)(x + 5) = 0
x = 12 or x = - 5
the distance cannot be negative, so x = 12
the distance from the bottom of the ladder to the wall is
x - 7 = 12 - 7 = 5 feet
The daily rainfall during two April weeks was: 1, 0.5, 0.3, 0, 0 ,0, 1.2, 3, 0, 1.1, 0.7, 2, 1.3, 2 inches. What was the median
Leokris [45]
The answer is 0.85 inches.
The median is not the same as the mean (which is usually average).
The mean is the sum of all data divided by the number of data. So, <u>the mean of these numbers would be 0.94:</u>
(1 + 0.5 + 0.3 + 0 + 0 + 0 + 1.2 + 3 + 0 + 1.1 + 0.7 + 2 + 1.3 + 2)/14 = 13.1/14 = 0.94
But we need the median which is the middle value. To find the median, first rearrange the data from the lowest to the highest value. If there is an odd number of data, then the median is the value in the middle. If there is an even number of data, then the median is the mean of the two values that are in the middle.
Calculation of the median:
Step 1. Rearrange the data from the lowest to the highest value.
0, 0, 0, 0, 0.3, 0.5, 0.7, 1, 1.1, 1.2, 1.3, 2, 2, 3
Step 2. Since zhere is the even number of data, find two values in the middle and calculate their mean:
0, 0, 0, 0, 0.3, 0.5, 0.7, 1, 1.1, 1.2, 1.3, 2, 2, 3
7th and 8th values are in the middle. There mean is:
(0.7 + 1)/2 = 1.7/2 = 0.85
Therefore, the median of the data <span>1, 0.5, 0.3, 0, 0 ,0, 1.2, 3, 0, 1.1, 0.7, 2, 1.3, 2</span> is 0.85.
Answer:
Point a tells us at 9 degrees Celsius mikoto cat lost 2 g
Step-by-step explanation:
Thank you hope this helps❤
Answer:
24+p=t
Step-by-step explanation:
If he scored 24 points in the first half, and p in the next half, he scored a total of t points.