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makkiz [27]
2 years ago
10

Hello pls help it has to do with shapes and volume. thank u :D

Mathematics
1 answer:
Alenkasestr [34]2 years ago
7 0

Hi there!

\large\boxed{r\approx 10.6 cm}

Solve for the radius using the pythagorean theorem:

a² + b² = c²

We know the lengths of the hypotenuse and one leg, so:

a = 12

b = ?

c = 16

Plug these into the equation:

12² + b² = 16²

Simplify:

144 + b² = 256

Subtract both sides by 144:

b² = 112

Take the square root:

b ≈ 10.6

Thus the radius is about 10.6 cm.

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<u><em>Question</em></u>

<em>If the CP of 15 articles equals to the SP of 12 articles, find the gain percent.</em>

<em></em>

Answer:

gain percent = 25%

Step-by-step explanation:

To solve the question given, we will follow the steps below:

gain%  =   \frac{s.p - c.p}{c.p}  ×    100%

But from the question;

"CP of 15 articles equals to the SP of 12 articles", this implies that

15 c.p  =  12 s.p

s.p = 15c.p  /   12

s.p  = \frac{15 c.p}{12}       =   \frac{5c.p}{4}

s.p  =  \frac{5c.p}{4}

substitute  s.p  =  \frac{5c.p}{4}   into the formula

gain%  =   \frac{s.p - c.p}{c.p}  ×    100%

      =\frac{\frac{5c.p}{4} -  c.p }{c.p}     ×    100%

       =  \frac{\frac{5c.p - 4c.p}{4} }{c.p}      ×    100%

  =   \frac{c.p}{4}   ÷   c.p      ×    100%

= \frac{c.p}{4}     ×   \frac{1}{c.p}    ×    100%

=   \frac{1}{4}  ×    100%

=  25 %

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3 years ago
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