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Lady_Fox [76]
3 years ago
5

Write a multiplication expression using the following clues: 1. One factor is a two digit number between 1 and 10 2. One factor

is a two digit number between 1 and 10 (different from the first) 3. The product is greater than 8, but less than 10​
Mathematics
1 answer:
Anika [276]3 years ago
3 0

Answer:

3.5 x 2.5=8.75

Step-by-step explanation:

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2/3(9 + x)= -5( 4 - x)
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Prove that: (secA-cosec A) (1+cot A +tan A) =( sec^2A/cosecA)-(Cosec^2A/secA)<br>​
Ksju [112]

Step-by-step explanation:

(\sec A - \csc A)(1 + \cot A + \tan A)

=(\sec A - \csc A)\left(1 + \dfrac{\cos A}{\sin A} + \dfrac{\sin A}{\cos A} \right)

=(\sec A - \csc A)\left(1 + \dfrac{\cos^2 A + \sin^2 A}{\sin A\cos A} \right)

=(\sec A - \csc A)\left(\dfrac{1 + \sin A \cos A}{\sin A \cos A} \right)

=\left(\dfrac{\frac{1}{\cos A} - \frac{1}{\sin A}+\sin A - \cos A}{\sin A\cos A}\right)

=\dfrac{\sin A - \sin A \cos^2A - \cos A + \cos A\sin^2A}{(\sin A\cos A)^2}

=\dfrac{\sin A(1 - \cos^2A) - \cos A (1 - \sin^2 A)}{(\sin A\cos A)^2}

=\dfrac{\sin^3A - \cos^3A}{\sin^2A\cos^2A}

=\dfrac{\sin A}{\cos^2A} - \dfrac{\cos A}{\sin^2A}

=\left(\dfrac{1}{\cos A}\right)\left(\dfrac{\sin A}{1}\right) - \left(\dfrac{1}{\sin^2A}\right) \left(\dfrac{\cos A}{1}\right)

=\sec^2A\csc A -  \csc^2A\sec A

5 0
3 years ago
Find the percentage profit when a car was bought for 60,000k and sold for 140,000k.​
Reil [10]

Step-by-step explanation:

profit = sold price - bought price

= 140,000 - 60,000 k

= 80,000 k

% profit = (80,000/60,000)×100

= 133.33 %

8 0
3 years ago
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