30 is 60% of the number 50. The answer is 50
Let the lenght perpendicular to street = x
Means lenght two sides will be x and x
Another side of retangle will be = 256 - 2x
Area of rectangle will be= A = x * (256-2x) = 256 x - 2 x^2
For maximum area, dA/dx = 0
d/dx (256 x - 2 x^2) = 0
256 - 4 x = 0
4 x = 256
x = 64 feet
Means one side is 64 feet
Another side will be = 256 - 2 * 64 = 128
Now we have two sides of rectangle 64 and 128
Area = 128 * 64 = 8192 square feet : Answer
Hope it will help :)
Answer:
|-7| - 7 = 0
2 |-7| = 14
( -7 )^2 = 49
-7^2 = 49
-7 -|-7| = -14
Step-by-step explanation:
Answer:
cosA = √(21/25)
Step-by-step explanation:
We know
sin²(A) + cos²(A) = 1
Next, we know that sin(A) = 2/5. Plugging that into our equation, we get
(2/5)² + cos²A = 1
4/25 + cos²A = 1
subtract 4/25 from both sides to isolate cos²A
cos²A = 1 - 4/25 = 25/25-4/25 = 21/25
square root both sides to get
cosA = √(21/25)
We do not include -√(21/25) in our possible answer for cosA because this is in quadrant 1, so cosA must be positive.
Answer:
Based on given data, we can say with 95% confidence that the female employees at this company average between $110 less and $10 less per week than the male employees.
Step-by-step explanation:
Sample 1 for female
Sample 2 for male
Confidence = 90%
Difference in mean weekly salary of all female employees and the mean weekly salary of all male employees = µ₁- µ₂
So based on above given data, we can say with 95% confidence that the female employees at this company average between $110 less and $10 less per week than the male employees.
