Rewriting the question, the given lengths that were cut from the board were 30 3/4 inches, 12 1/4 inches, and 16 1/4 inches. To obtain the remaining length of the board, all of the measurements cut are to be added and subtracted from 72 inches. This is shown below:
30 3/4 + 12 1/4 + 16 1/4 = 237/4 = 59.25 inches.
Remaining length of board = 72 - 59.25 = 12.75 inches.
Therefore, there will be 12.75 inches remaining of the board.
Answer:
28
Step-by-step explanation: She cut the rope into thirds so the mathematical equation I used was 9x3 plus the 1/3 she already had which means one more piece of rope.
Answer: 3.82 miles
Step-by-step explanation:
According to the shown figure, we can imagine the scene as a <u>right triangle</u>, where the tower is located at the right angle, and the fireman and the forest fire located at each of the other two vertices.
So, since we are dealing with a right triangle we can use the Pithagorean Theorem, in order to find the distance from the fireman to the fire
, which is also the hypotenuse.
![d^{2}= (2.1 miles)^{2} +(3.2 miles)^{2}](https://tex.z-dn.net/?f=d%5E%7B2%7D%3D%20%282.1%20miles%29%5E%7B2%7D%20%2B%283.2%20miles%29%5E%7B2%7D)
![d=\sqrt{(2.1 miles)^{2} +(3.2 miles)^{2}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%282.1%20miles%29%5E%7B2%7D%20%2B%283.2%20miles%29%5E%7B2%7D%7D)
Finally:
![d=3.82 miles](https://tex.z-dn.net/?f=d%3D3.82%20miles)
Since ABC has the same length and angle as ADC, so the answer is 142 degrees.