Answer:
4√2
Step-by-step explanation:
If a square has a perimeter of 16, then its side lengths are 4.
Use the pythagorean theorem to find the diagonal.
- 4^2+4^2=c^2
- 16+16=c^2
- 32=c^2
- c=√32
√32 can be simplified to 4√2.
I hope this helps you sorry to get it wrong
Answer:
H after a 270 degrees clockwise rotation is at (-5,-7)
Answer:
A = (16π -32) in²
P = (4π +8√2) in
Step-by-step explanation:
The area is that of a quarter-circle of radius 8 inches less half the area of a square with side length 8 inches. Two formulas are useful:
area of a circle = πr² . . . . .r = radius
area of a square = s² . . . . s = side length
Then your area is ...
A = (1/4)π(8 in)² - (1/2)(8 in)² = (64 in²)(π/4 -1/2)
A = (16π -32) in²
____
The applicable formulas for the side lengths of your figure are ...
arc BD = (1/4)(2πr) = π(r/2) = π(8 in)/2 = 4π in
segment BD = (8 in)√2
The perimeter is the sum of these lengths, so is ...
P = (4π +8√2) in
_____
Of course, you are very familiar with the fact that an isosceles right triangle with side lengths 1 has a hypotenuse of length √(1²+1²) = √2. Scaling the triangle by a factor of 8 inches means the segment AB will be 8√2 inches long.
Answer:
Average rate of change for the number of African American women who held office at any given time between 1970 & 1993 is 94.43.
Step-by-step explanation:
Here, according to the question:
Number of African American women in elected public office in the United States in the year 1970 = 160
Number of African American women in elected public office in the United States in the year 1993 = 2332
Now, the change in the number of elected women between 1970 & 1993
= Women elected in the year 1993 - Women elected in the year 1970
= 2332 - 160 = 2,172
or, the change in the number of elected women candidates between 1970 & 1993 is 2,172
Now, the difference in the time period is 1993 - 1970 = 23 years
So, 
Hence, the average rate of change for the number of African American women who held office at any given time between 1970 & 1993 is 94.43.
Answer:
B. There is an association because the value 0.15 is not similar to the value 0.55
Step-by-step explanation:
Based on the above picture, for the nutritionist to determine whether there is an association between where food is prepared and the number of calories the food contains, there must be an association between two categorical variables.
The conditions that satisfy whether there exists an association between conditional relative frequencies are:
1. When there is a bigger difference in the conditional relative frequencies, the stronger the association between the variables.
2. When the conditional relative frequencies are nearly equal for all categories, there may be no association between the variables.
For the given conditional relative frequency, we can see that there exists a significant difference between the columns of the table in the picture because 0.15 is significantly different from 0.55 and 0.85 is significantly different from 0.45
We can conclude that there is an association because the value 0.15 is not similar to the value 0.55
