We know that In right angle triangle c^2 = a^2 + b^2.
19^2 = 3^2 + b^2
b = (361 - 9)^1/2 = 18.761663039294
Now for angles
sin(A) = a/c = 3/19
A = sin{-1}(3/19) = 9.0847202873911
A = 9.0847202873911
sin(B) = b/c = 18.761663039294 / 19
B = sin{-1}(18.761663039294 / 19) = 80.915279712614
B = 80.915279712614

8 0

3 years ago

Ed planned to read 25 pages a day of his favorite book by some deadline. However, he read 8 pages more a day and there were just

GaryK [48]

Answer:

175 pages

Step-by-step explanation:

Let's call 'd' the number of days before the deadline, and 'n' the total number of pages of the book.

We have the following equations:

(1) $25 d = n$ --> if we multiply the number of pages per day (25) times the number of days (d), we get the total number of pages of the book (n)

(2) $(25+8)(d-2)=n-10$ --> he reads 8 pages more per day (so, 25+8), for a number of days equal to (d-2) (d is the deadline), and he reads a total of n-10 pages (because only 10 are left)

We can substitute (1) into (2) and we find:

$33(d-2)=25d-10\\33d-66=25d-10\\33d-25d=66-10\\8d=56\\d=7$

So, the deadline is 7 days, and from eq.(1) we find the number of pages in the book:

$n=25d=25 (7)=175$

8 0

3 years ago

Which equation represents a line that is a perpendicular bisector to the line joining the points A(3,-4) and B( 5 , -2)?

liq [111]

Answer is third......

3 0

3 years ago