A^2 - b^2 = (a-b)(a+b)
To test it, expand the right hand side.
Answer:
- 1/4 of a pound
- 4/15 of the flat
Step-by-step explanation:
For number 1:
- 3/4 ÷ 3 = 0.25
- 0.25 = 1/4
For number 2:
- 4/5 ÷ 3 = 4/15
I hope this helps!
Answer: 294√3
Explanation:
1) The described hexagon has these featrues:
a) 6 congruent equilateral triangles whose side lengths measure 14
b) height of each triangle = apotema = a
c) the area of each triangle is base × a / 2 = 14 × a / 2 = 7a
2) a is one leg of a right triangle whose other leg is 14 / 2 = 7, and the hypotenuse is 14.
3) Then you can use Pythagorean theorem fo find a:
14² = 7² + a² ⇒ a² = 14² - 7² = 147 ⇒ a = √ 147 = 7√3
4) Therefore, the area of one triangle is: 14 × 7√3 / 2 = 49√3
5) And the area of the hexagon is 6 times that: 6 × 49√3 = 294√3
Answer:
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Step-by-step explanation:
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632=.60 x (it is important to convert the percentage to decimal by dividing by 100)
632/.60=x
x= 1053.33
x is your original price
the actual answer is 1053.3333(3 repeating) but since it is money you cut it off at 2 decimal points.