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:

Step-by-step explanation:
To solve this problem, first you have to use the order of operations stands for parenthesis, exponents, multiply, divide, add, and subtract from left to right. Remember to use the order of operations stands for "Please Excuse My Dear Aunt Sally."
Do parenthesis first.


Next, exponent.


Multiply & divide numbers from left to right.

Finally, add & subtract numbers from left to right.

As a result, the correct answer is 21.
Answer:
427.09
Step-by-step explanation:
(2.75 x 107) + (1.23 x 108)
294.25 + 132.84 = 427.09
Answer : 
Explanation:
Since we have given that
n(U) = 120, where U denotes universal set ,
n(F) = 45, where F denotes who speak French,
n(S) = 42 , where S denotes who speak Spanish,
n(F∪S)' = 50
n(F∪S) = n(U)-n(F∪S) = 120-50 = 70
Now, we know the formula, i.e.
n(F∪s) = n(F)+n(S)-n(F∩S)
⇒ 70 = 45+42-n(F∩S)
⇒ 70 = 87- n(F∩S)
⇒ 70-87 = -n(F∩S)
⇒ -17 = -n( F∩S)
⇒ 17 = n(F∩S)
