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sasho [114]
2 years ago
15

Use the fact that 2 1/2 divide 1/8 =20 to find 2 1/2 divide 5/8

Mathematics
1 answer:
Tasya [4]2 years ago
7 0

Answer:

4

Step-by-step explanation:

Given that 2\frac 1 2 \div \frac 1 8 =20

\Rightarrow \frac 5 2 \div \frac 1 8 =20

\Rightarrow \frac 5 2 \times 8 1 =20 \cdots(i)

Now, 2\frac 1 2 \div \frac 5 8 = \frac 5 2 \div \frac 5 8=\frac 5 2 \times \frac 8 5

This can be written as

\frac 5 2 \times \frac 8 5=\frac 5 2 \times \left( \frac 8 1 \times \frac 1 5\right) [as \frac 8 5=\frac 8 1 \times \frac 1 5]

=\left(\frac 5 2 \times \frac 8 1 \right)\times \frac 1 5

=20 \times \frac 1 5 [ by using equation (i)]

=4

Hence, 2\frac 1 2 \div \frac 5 8=4

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icang [17]

Answer:

\int\limits {e^{2s} cos\frac{s}{4} ds    =\frac{4 e^{2s} }{65 } ({8 cos (\frac{1}{4} ) s +  sin \frac{1}{4}  s} ))

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that  f(s) =  e^{2s} cos\frac{s}{4}

Now integrating

            \int\limits {f(s)} \, ds =  \int\limits {e^{2s} cos\frac{s}{4} ds

By using integration formula

   \int\limits { e^{ax} cos b x dx = \frac{e^{ax} }{a^{2}+b^{2}  } ( a cos b x + b sin b x )

<u><em>Step(ii):-</em></u>

 \int\limits {e^{2s} cos\frac{s}{4} ds    =   \frac{e^{2s} }{(2)^{2}+(\frac{1}{4}) ^{2}  } ( 2 cos (\frac{1}{4} ) s + \frac{1}{4}  sin \frac{1}{4}  s ))  

                    = \frac{e^{2s} }{(4+\frac{1}{16})} ( 2 cos (\frac{1}{4} ) s + \frac{1}{4}  sin \frac{1}{4}  s ))

                   = \frac{e^{2s} }{(\frac{65}{16} } ( \frac{8 cos (\frac{1}{4} ) s +  sin \frac{1}{4}  s}{4}  ))

                 = 16 X\frac{e^{2s} }{65 } ( \frac{8 cos (\frac{1}{4} ) s +  sin \frac{1}{4}  s}{4}  ))

                 =\frac{4 e^{2s} }{65 } ({8 cos (\frac{1}{4} ) s +  sin \frac{1}{4}  s} ))

<u><em>Final answer:-</em></u>

\int\limits {e^{2s} cos\frac{s}{4} ds    =\frac{4 e^{2s} }{65 } ({8 cos (\frac{1}{4} ) s +  sin \frac{1}{4}  s} ))

6 0
3 years ago
A varies inversely as the square of B. If A is 1 when B is 3, find A when B is 5
RideAnS [48]

Answer:

0.36

Step-by-step explanation:

A= K/B^2

K= A × B^2

K= 1 × 3^2

K= 1×9

K= 9

Therefore if B is 5 then A can be calculated as follows.

K= A × B^2

9= A × 5^2

9= A × 25

9= 25A

A= 9/25

A= 0.36

Hence A is 0.36

6 0
2 years ago
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