Answer:
thank you
Step-by-step explanation:
:P
Answer:
It's D or 1/7^2

Step-by-step explanation:
They both equal 1/49
The tangent function is given by:

Since the angle is in the 3rd quadrant the opposite side and the adjacent side are negative. So, the cotangent function is given by:

Answer:
12/5
Answer:
Carlos has practiced piano for
hours.
Carlos needs to practice
hours.
Step-by-step explanation:
We have been given that Carlos wants to practice piano 2 hours each day. He practices piano for 3/4 hour before school and 7/10 hour when he gets home.
First of all, we will find piano practiced before school and after school by adding both amounts as:

Make a common denominator:


Add numerators:

Therefore, Carlos has practiced piano for
hours.
Now, we will subtract
from 2 find number of hours Carlos needs to practice to reach his goal.





Therefore, Carlos needs to practice
hours before going to bed in order to meet his goal.
Answer:
10=40
50=30
Step-by-step explanation:
Suppose the number of 10 paise coins =x
∴ the number of 50 paise coins =70−x
Now, value of 10 paise coins = Rs.
10
x and value of 50 paise coins = Rs.
2
70−x
Total value of coins =
10
x
+ 2
70−x
∴ 10
x + 2
70−x =19
Multiplying both sides by 10, (LCM of 10,2=10), we get
x+5(70−x)=19×10
x+350−5x=190
−4x=−160
−4
−4x = −4
−160
∴x=40
∴ number of 10 paise coins =40
Number of 50 paise coins =70−40=30.