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amid [387]
3 years ago
11

) a) Liaqat gave his uncle a puzzle. "five times my age plus 10 years makes 70 years." How old is Liaquat? b) His uncle replied,

"four times my age, less than 10 years ,is 130." How old is Liaqat's uncle?
Mathematics
1 answer:
Kamila [148]3 years ago
8 0

Answer:

a. 12 years

b. 30 years

Step-by-step explanation:

a) Assume Liaqat's age is x. His age would be:

5x + 10 = 70

5x = 70- 10

x = (70 - 10) / 5

x = 12

<em>Liaqat is 12 years old.</em>

b. Assume his uncle's age is y;

4y - 10 = 130

4y = 130 - 10

y = (130 - 10) / 4

y = 30

<em>Liaqat's uncle is 30 years old. </em>

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Convert the angle 0 = 70° to radians.​
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If alpha beta are the roots of the equation
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Step-by-step explanation:

Hello, I believe that we can consider a different from 0.

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You have 100 cm of string which can be cut in one place (or not cut at all) and then formed into a circle and a square (or just
Ne4ueva [31]

Answer:

44cm for minimum area and 0 for maximum area (circle)

Step-by-step explanation:

Let's C be the circumference of the circle and S be the circumference of the square. If we cut the string into 2 pieces the total circumferences would be the string length 100cm.

S + C  = 100 or S = 100 - C

The side of square is S/4 and radius of the circle is \frac{C}{2\pi}

So the area of the square is

A_S = \frac{S^2}{4^2} = \frac{S^2}{16}

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Therefore the total area is

A = A_S + A_C = \frac{S^2}{16} + \frac{C^2}{4\pi}

We can substitute 100 - C for S

A = \frac{(100 - C)^2}{16} + \frac{C^2}{4\pi}

A = \frac{100^2 - 200C + C^2}{16} + \frac{C^2}{4\pi}

A = 625 -12.5C + \frac{C^2}{16} + \frac{C^2}{4\pi}

A = 625 -12.5C + C^2(\frac{1}{16} + \frac{1}{4\pi})

To find the maximum and minimum of this, we can take the first derivative and set that to 0

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A^{''} = \frac{1}{8} + \frac{1}{2\pi} > 0

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