If tan0 = 4/11, then what will tan(90- 0) be? Please show work

Mathematics

2 answers:

PtichkaEL [24]2 years ago

7 0

Answer:

11/4

Step-by-step explanation:

$\tan(90-\theta) = \frac{\sin(90-\theta)}{\cos(90-\theta)} = \frac{\cos\theta}{\sin\theta}=\cot\theta = \frac{1}{\tan\theta} = \frac{11}{4}$ .

UNO [17]2 years ago

4 0

Answer:

11/4

Step-by-step explanation:

tan(90-x)=cot(x) by cofunction identity

tan(90-x) is therefore the reciprocal value of tan(x) since tan(x) is the reciprocal of cot(x) or vice versa.

tan(90-x)=11/4 since tan(x)=4/11

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$75 before tax. Disc: 10% Tax: 7%, Tip: 20% what’s the total?

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Answer:

$102.75

Step-by-step explanation:

Given the following question:

We are given a cost of 75 dollars and are being asked to find the total cost after adding a tip, tax, and disc to the cost. To find this answer we will use the formula to calculate percentages making sure we use 75 as our base for each addition to our total cost.

Formula to calculate percentages:

$\frac{p\times n}{100}$

First the disc:

$\frac{10\times 75}{100}$
$10\times75=750$
$750\div100=7.5$
$=7.5$

Next the tax:

$\frac{7\times75}{100}$
$7\times75=525$
$525\div100=5.25$
$=5.25$

Last but not least the tip:

$\frac{20\times75}{100}$
$20\times75=1500$
$1500\div100=15$
$=15$

Finally add:

$75+7.50+5.25+15=102.75$
$=102.75$

The total cost after adding the disc, tax, and the tip will be "$102.75."

Hope this helps.