The diagram can be redrawn as,
The value of x and y can be determined as,
![\begin{gathered} \tan C=\frac{AB}{BC} \\ \tan 45^{\circ}=\frac{x}{7\sqrt[]{2}} \\ x=7\sqrt[]{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctan%20C%3D%5Cfrac%7BAB%7D%7BBC%7D%20%5C%5C%20%5Ctan%2045%5E%7B%5Ccirc%7D%3D%5Cfrac%7Bx%7D%7B7%5Csqrt%5B%5D%7B2%7D%7D%20%5C%5C%20x%3D7%5Csqrt%5B%5D%7B2%7D%20%5Cend%7Bgathered%7D)
![\begin{gathered} \cos C=\frac{BC}{AC} \\ \cos 45^{\circ}=\frac{7\sqrt[]{2}}{y} \\ y=14 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ccos%20C%3D%5Cfrac%7BBC%7D%7BAC%7D%20%5C%5C%20%5Ccos%2045%5E%7B%5Ccirc%7D%3D%5Cfrac%7B7%5Csqrt%5B%5D%7B2%7D%7D%7By%7D%20%5C%5C%20y%3D14%20%5Cend%7Bgathered%7D)
Thus, option (D) is the correct solution.
Answer:
9/44 of an hour, or just over 12 minutes
Step-by-step explanation:
Person 1 + Person 2 divided by Person 1 x Person 2 = Both together
9 + x / 9*x = 5
9+x/9x = 5
Multiply both sides by 9x
9 + x = 45x
Subtract x from both sides
9 = 44x
Divide by 44 to get x.
9/44 of an hour
Answer:
5/18 in²
Step-by-step explanation:
The area of a rectangle is found by multiplying its length by its width. For dimensions of 5/6 in by 1/3 in, the area is ...
(5/6 in)·(1/3 in) = 5/18 in²
Answer:
180°
Step-by-step explanation:
A polygon that has 32 sides is called a triacontadigon or a triacontakaidigon.
The angles of a triacontadigon add up to 5760°.
5760÷32=180°
