Answer:
First notice that θ is in quadrant I, where the sine and tangent will also be positive.
Then draw the angle in quadrant I. Drop a perpendicular to the x axis.
Since cosθ= 7/25, label the horizontal leg 7, and the hypotenuse 25; the vertical leg will be 24 by Pythagorean theorem.
Then sinθ=vertical/hypotenuse= 24/25 and tanθ= vertical/horizontal= 24/7
Step-by-step explanation:
Answer:
69
Step-by-step explanation:
Answer:
The water in the tank filled to capacity lasts 20 days.
Step-by-step explanation:
Total number of students in the hostel = 300
The average need of water per day = 36,000 L
The dimensions of the tank = 10 m × 8 m × 9 m
Now, the capacity of the tank = LENGTH X WIGHT X HEIGHT
= 10 m × 8 m × 9 m = 720 cubic meters
Now, 
⇒
So, the capacity of the tank = 720,000 L
and the average usage of water by 300 students = 
⇒
or, number of days = 20
Hence, the water in the tank filled to capacity lasts 20 days.
Answer: You multiply 8 x 3/4=24/4. Then you simplify your answer and it is 6 hours. 24/4 is division 24 divided by 4 equals 6.
Step-by-step explanation: Or, you can change 3/4 to a decimal which is .75. Then you multiply .75 x 8 and the answer is 6.00 which is 6 hours because you do not use the zeros after the decimal point.
Answer:
<em>( - 36, 24 ) </em>
Step-by-step explanation:
(- 9, 6) ------> ( - 9×4, 6×4) = <em>( - 36, 24 )</em>