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Ludmilka [50]
2 years ago
11

74ft 24ft b What is the length of the missing leg?

Mathematics
1 answer:
amm18122 years ago
4 0

Answer: 70

Step-by-step explanation:

a^2 + b^2 = c^2

24^2 + b^2 = 74^2

576 + b^2 = 5,476

-576             -576

b^2             =4,900

(square root)

b                 =70

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Sove the equation and verify
Nostrana [21]

Let's break the equation in several step to make things more clear: first of all, the numerator of the left hand side simplifies to

\dfrac{2x}{3}-\dfrac{1}{2} = \dfrac{4x-3}{6}

Similarly, the denominator becomes

\dfrac{3x}{4}-\dfrac{1}{2} = \dfrac{3x-2}{4}

Dividing by a fraction means to multiply by the inverse of that fraction:

\dfrac{\frac{a}{b}}{\frac{c}{d}} = \dfrac{a}{b}\cdot\dfrac{d}{c}

So, in your case, we have

\dfrac{\frac{2x}{3}-\frac{1}{2}}{\frac{3x}{4}-\frac{1}{2}} = \dfrac{\frac{4x-3}{6}}{\frac{3x-2}{4}} = \dfrac{4x-3}{6}\cdot \dfrac{4}{3x-2} = \dfrac{2(4x-3)}{3(3x-2)} = \dfrac{8x-6}{9x-6}

So, the equation has become

\dfrac{8x-6}{9x-6} = \dfrac{4}{3}

Multiply both sides by 3(9x-6):

3(8x-6) = 4(9x-6) \iff 24x-18 = 36x-24

Subtract 24x from both sides, and add 18 to both sides:

36x-24x = 24-18 \iff 12x=6 \iff x = \dfrac{1}{2}

8 0
3 years ago
Is 6(x+0.4) equivalent to 3(2x+0.8)? YES or NO???????
amm1812

Answer:

Yes

Step-by-step explanation:

If we multiply them out, we get 6x + 2.4 for the first one and 6x + 2.4 for the second one, therefore they are the same.

3 0
3 years ago
What is the value of x if the quadrilateral is a rhombus? please help
stiks02 [169]
In a rhombus, all sides are equal:

5x = 15
and x = 15/5 = 3

(you could have done the same thing with the other side: 5x = 4x +3)


3 0
3 years ago
Read 2 more answers
What is six copies of the sum of nine-fifths and three
Ira Lisetskai [31]
9/5+3/1


24/5 24/5 24/5 24/5 24/5 24/5
Hope this helps! :D
7 0
3 years ago
here is my question: Find the rule which gives the number of matchsticks required to make the following matchstick patterns?
kipiarov [429]
Number of matchsticks required is 2. Rule which matchstick pattern is 2 x n.
5 0
2 years ago
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