What is 15 divided by 8/9

Mathematics

2 answers:

mestny [16]4 years ago

7 0

The correct answer is 16.875 or 135/8

The first step is to put the two numbers into fractions. To do this, just divide 15 by 1 making it 15/1 and 8/9. Your new equation is 15/1 divided by 8/9. The next step is to keep, change, flip. You keep 15/1 as 15/1, change division to multiplication and flip 8/9 to 9/8. Now you have 15/1 x 9/8. Multiply the two numbers and you will then get 135/8 or 16.875 if you want it to be a decimal.

vivado [14]4 years ago

6 0

The answer is 16.875

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Use the table of integrals, or a computer or calculator with symbolic integration capabilities, to find the indefinite integral.

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$-\frac{3}{11}\ln(\cot t + \csc t)+C$

Step-by-step explanation:

We are given: $\int \frac{3}{x\sqrt{121-x^2}} dx$

We will use integration by parts.

$x = 11 \sin t\\dx = 11 \cos t \: dt$

$\int \frac{3}{x\sqrt{121-x^2}} dx=\int \frac{3* 11 \cos t \: dt}{11 \sin t\sqrt{121-121\sin^2 t}} =\int \frac{3* 11 \cos t \: dt}{11 \sin t*11\cos t}} =\\\\= \frac{3}{11} \int \csc t = -\frac{3}{11}\ln(\cot t + \csc t)+C$