Since both terms are perfect squares, factor using the difference of squares formula,
a² − b² = (a + b) (a − b) where a = 5(x + 5/4) and b = 4 (x (7/4) ).
− (12x + 25/4) (2x + −25/4)
1.
11 16
— X — = 44
4 1
Answer to number 1. —- 44 cups.
2.
880 yards is half of 1,760. So, if 1,760 yards is 1 mile then 880 yards (1/2) is .5 mile.
Answer to number 2. —- 0.5 mile.
3.
36 7
— X — =84
1 3
Answer to number 3. —- 84 inches.
ANSWER:
1. 44 cups
2. 0.5 mile
3.84 inches
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<span>The Sears Tower is about 443.2 meters tall.
To convert from feet to meters, simply multiply by 0.3048. So
1454 * 0.3048 = 443.1792 meters.
Since we only have 4 significant figures, the result should also be rounded to 4 significant figures, so we get 443.2 meters.</span>
Angles 1, 2, and 3 are all 90°.
10x = 90
.. x = 9
x +y = 90
.. y = 81
5z = 90
.. z = 18
The values of (x, y, z) are (9, 81, 18).