I believe the answer is cos^2 theta. Sec^2 theta on the right side of the equation is the inverse of Cos^2 theta, so multiplying the two together will get you 1. Cos^2 theta * Tan^2 theta = Sin^2 theta, and Cos^2 theta * 1 = Cos^2 theta. This all leads to the third and last step in the picture above.
Answer:
10
Step-by-step explanation:
$15.00 / $1.50 = 10
Answer:
chisquare = 31.667
degree of freedom = 2
Step-by-step explanation:
Formula for chisquare test = (O-E)²/E
total number observations= 60 + 25 + 15 = 100
Estimated E,
80% x 100 = 80
15%x100 = 15
5% x 100 = 5
chisquare =

= 5 + 6.67 + 20
= 31.667
from the calculation above the value of the chisquare statistic = 31.67
the degree of freedom is the number of samples in the test n - 1
= 3-1
= 2
I have solve this question also in a tabular form to aid understanding in the file i uploaded.
thank you and good luck!
Hi!
Let's separate this shape into three sections to make it easier to find the area. (see image)
Let's start with the green shape.
The base of the green shape is 20. The height is 6.
20 x 6 = 120
Now the blue shape.
The base of the blue shape is 20, the height is (9 + 6) 15.
20 x 15 = 300
Now the red shape.
The base of the red shape is (20 - 10) 10, the height is 5.
10 x 5 = 50
Add all of the areas together.
120 + 300 + 50 = 470
The answer is
470Hope this helps! :)
Answer:
96 minutes or 1 3/5 hours
Step-by-step explanation:
To get this answer properly , we shall be converting any of the time fraction to minutes
The total time taken is 3 4/5 hours
1 hour is 60 minutes, 3 hours is 3 * 60 = 180 minutes
4/5 hours is 4/5 * 60 = 48 minutes
Total travel time is 48 + 180 = 228 minutes
Walking, he did for 2/5 hours = 2/5 * 60 = 24 minutes
Riding on a train took 1 4/5 hours; that would be 60 minutes plus 4/5 * 60 = 48 minutes ; a total time of 108 minutes
Time spent on walking and on train would be 108 minutes + 24 minutes = 132 minutes
The time spent on train would thus be 228 - 132 = 96 minutes = 60 + 36 minutes = 1 hour + 36/60 = 1 hour + 3/5 hours = 1 3/5 hours was spent on the train