Answer:
21
Step-by-step explanation:
13 + 4(9-7) =
13 + 4(2) =
13 + 8 = 21
Answer:
10657.5
Step-by-step explanation:
<h2>
Long way that is unnecessarily long</h2>
We can start by finding the area of the larger triangle. Using the Pythagorean theorem, we can say that 251²-105²=the bottom side², and 251²-105²=51976, so the bottom side of the larger triangle is √51976 , or approximately 228. Then, the area of the larger triangle is √51976 * 105/2 = 11969 (approximately). Then, the area of the smallest triangle (the largest triangle - the one that we're trying to find the area of) is 105*(√51976-203)/2 = approximately 1312. Then, subtracting that from the total area, we get (√51976 * 105 - 105*(√51976-203))/2 = 105*203/2 = 10657.5
<h2>Short way</h2>
ALTERNATIVELY, upon further review, we can just see that the height is 105 and the base is 203, so we multiply those two and divide by 2, as is the formula for the area of a triangle, to get 10657.5
The median of the data is 6 and the IQR will be 4.
<h3>What are median and IQR?</h3>
The median is the number separating the greater half from the lower half of a sample data in probability theory and statistics. The interquartile range is a measure of statistical dispersion, or the spread of the data, in descriptive statistics.
To calculate the median first arrange the data in the increasing order and then find the mid value.
3,4,6,6,6,8,9,9,12
The middlemost value will be the median.
Median = 6
To calculate the IQR convert the data into lower limits and the upper limits from the median and then calculate the IQR.
3,4,6,6, |6| ,8,9,9,12
Lower Upper
Q1 = (4 + 6)/2 = 5
Q2 = ( 9+9)/2 = 9
IQR = 9 - 5 = 4
Therefore, the median of the data is 6 and the IQR will be 4.
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Answer:
Step-by-step explanation:
- The lengths of the sides of a 30-60-90 triangle are in the ratio 1:2:√3.
- The lengths of the sides of a 45-45-90 triangle are in the ratio 1 : 1 : √2
- We can get the length of the longest side of the bottom triangle is 9×2÷√3 =
- And based on the theory shown on the 2nd step, we can get x (the length of the longest side of the upper triangle) is x√2
