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Goryan [66]
3 years ago
11

Can anyone explain me (a)

Mathematics
1 answer:
cupoosta [38]3 years ago
3 0

ANSWER

a) £1350

b)£235

c)108°

EXPLANATION

The angle that corresponds to Andrew is 72°

The total angle in the circle is 360°

If 72° corresponds to £270,

Then, 360° corresponds to:

=  \frac{360 \times 270}{72}

=£1350

Therefore the total weekly income of the 5 employees is £1350.

b) The angle that corresponds to Brian's income is 62°

Brian's weekly income is

=  \frac{60}{360}  \times 1350

=£225

c) Carol's weekly income is £405

Let x represent the angle representing Carol's weekly income.

\frac{x}{360}  \times 1350 = 405

3.75x = 405

x =  \frac{405}{3.75}  = 108 \degree

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{\boxed{\mathcal{\purple{D.\:81}}}} ✅

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

( {3})^{ \frac{11}{5} }  \div  {3}^{ \frac{ - 9}{5} }  \\  \\=(  {3})^{ \frac{11}{5} - ( \frac{ - 9}{5} ) }  \\ \\ = ( {3})^{ \frac{11}{5}   +  \frac{9}{5} }  \\ \\ = ( {3})^{ \frac{11 + 9}{5} } \\ \\  = ( {3})^{ \frac{20}{5} }  \\ \\  = ( {3})^{4}  \\ \\ = ( \: 3 \times 3 \times 3 \times 3 \: ) \\ \\ = 81

<u>Note</u>:-

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