first what you have to do you have to find the common denominator which is 24
it's 24 because 8 times 3 equals 24 and 12 times 2 equals 24 so they have a like denominator so what you have to do to the bottom you have to do to the top so 8 times 3 is 24 so 3 times 3 is 9 so the new fraction is 9/24. Then 1/12 12×2=24 and 1×2= 2 so the new fraction is 2/24. that would leave you with the problem of 9/24 + 2/24 which is 11/ 24
A. about 14
divide 72/5= 14.4 which rounds to 14
The distance across the lake, a is 611 yards
<h3>Right angle triangle:</h3>
Right angle triangle have one of its angles as 90 degrees. Therefore, the side a can be found using trigonometric ratios,
Therefore,
tan 47° = opposite / adjacent
tan 47° = a / 570
cross multiply
a = 570 tan 47°
a = 570 × 1.07236871002
a = 611.250164714
a = 611 yards
learn more on right triangle here: brainly.com/question/18450490
For the cut glass pieces to be rectangular in shape, the glass cutter should ensure:
- All four interior angles = 90° each.
- Opposite sides are parallel and equal to each other.
- Diagonals should be of the same length and should bisect each other.
<h3>Properties of a Rectangle</h3>
- All four angles of a rectangle are 90° each.
- There are two pairs of parallel sides that are equal in length.
- The diagonals bisect each other and are of equal length.
Thus, to ensure the cut glass pieces are rectangular in shape, he should ensure the following:
- Make the four interior angles 90° each.
- The opposite sides should be parallel and equal to each other.
- The diagonals should be of the same length and should bisect each other.
Learn more about properties of rectangle on:
brainly.com/question/2835318
