Nautical flags are used to represent letters of alphabets. the flag for the letter o consists of a yellow right triangle and a red right triangle joined together along their hypotenuse to form a square. the joint hypotenuse of the two triangles is three inches longer than a side of the square. find the length of a side of the flag. round your answer to the nearest tenth.

S = 7.24

Step-by-step explanation:

Attached image.

We can use the pythagorean theorem to solve this. It states

Where

c is the hypotenuse (s + 3)

a and b are th two legs (s each respectively)

So we have:

Since length can't be negative, we take

s = 7.24

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47