3 4/12 x 9/12 =? And need to show how we got it

2 answers:

8 0

Answer:

2 $\frac{1}{2}$ or 2.5

Step-by-step explanation:

Convert mixed numbers to improper fractions:

$\frac{40}{12}$ × $\frac{9}{12}$

Cancel the common factor (4):

$\frac{10}{3}$ × $\frac{9}{12}$

Cancel the common factor (3):

$\frac{3}{4}$ × $\frac{10}{3}$

Multiply fractions:

$\frac{10 * 3}{3*4}$

Cancel the common factor (3):

$\frac{10}{4}$

Cancel the common factor (2):

$\frac{5}{2}$

Convert improper fraction to mixed number:

$\frac{5}{2} = 2 \frac{1}{2}$ or 2.5

7 0

Answer:

Hope that helps. Type the question into photomath

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Serhud [2]

Answer:

Ф = $\frac{\pi }{4} ,\frac{5\pi}{4}$

Step-by-step explanation:

It is a bit difficult to input the work here, so I uploaded an image

First we can use the trig identities to change sec²(Ф) to tan²(Ф) + 1
Then we can combine like terms
Then we can factor this as a polynomial function
Then we can set each term equal to zero and solve for Ф
The first term tan(Ф) - 2 = 0 has no solution because tan(Ф) ≠ -2 anywhere
The second term tan(Ф) - 1 = 0 has two solutions of $\frac{\pi}{4}$ and $\frac{5\pi}{4}$ so these are the solutions to the problem