Answer:
Length of diagonal in the first top figure is 13 yd
Okay for this one, the formula of a diagonal in a cuboid is the root of sum of squares
length, breadth and height
so
D = root of 12^2 + 4^2 + 3^2
D = root of 144 + 16 + 9
D = root 169
D = 13yd
Length of diagonal in the bottom figure is 10.77 which is 10.8m
For this one, you have to find the diameter of base first
Since radius of the base is 5 diameter = 10
Since its a right angled triangle, Hypotenuse square = sum of sides square
Diagonal^2 = 10^2 + 4^2
D^2 = 100 + 16
D^2 = 116
D = root 116
D = 10.77
D = 10.8 m
B. 25/20 using gcf simplified is 5/4
Answer:
The coordinates of Y' will be: A'(4, -3)
Step-by-step explanation:
Triangle XYZ with vertices
We have to determine the answer for the image Y' of the point Y(-3, 4) with respect to the line mirror y=x.
We know that when P(x, y) is reflected in y = x, we get P'(y, x)
i.e.
The rule of y=x:
As we are given that Y(-3, 4), so the coordinates of Y' will be:
A(-3, 4) → A'(4, -3)
Therefore, the coordinates of Y' will be: A'(4, -3)
Answer:
After increasing their employees by 18% they will now have 531 total employees.
Step-by-step explanation:
0.18 x 450 = 81
81 + 450 = 531
We are given the following data:
Sample Size = n = 1000
Sample Mean = u = 15 hours
Population Standard Deviation = s = 2 hours
Since we know the population standard deviation, we can use z distribution to find the confidence interval about the mean. z value for 95% confidence interval is 1.96.
Formula for the confidence interval is:
Using the values in the formula, we get:
Therefore, the 95% confidence interval about the population mean is 14.88 hours to 15.12 hours. So B option is the correct answer.
