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3 years ago

Rationalize the denominator of 5/√3+root 2

Mathematics

1 answer:

goldenfox [79]3 years ago

4 0

Answer:

10.075

Step-by-step explanation:

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Paul's mom, Gina, owns her home outright, without a mortgage. It is currently worth $100,000. If she could get five percent inte

Gala2k [10]

Use the formula i = p*r*t.

Here, p = $100000, r = 0.05 and t = 1 (year)

The interest would be i = $100000*0.05*1 = $5000 per year.

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3 years ago

Read 2 more answers

Find the exact values of a) sec of theta b)tan of theta if cos of theta= -4/5 and sin<0

Gre4nikov [31]

Answer:

Using trigonometric ratio:

$\sec \theta = \frac{1}{\cos \theta}$

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

From the given statement:

$\cos \theta = -\frac{4}{5}$ and sin < 0

⇒ $\theta$ lies in the 3rd quadrant.

then;

$\sec \theta = \frac{1}{-\frac{4}{5}} = -\frac{5}{4}$

Using trigonometry identities:

$\sin \theta = \pm \sqrt{1-\cos^2 \theta}$

Substitute the given values we have;

$\sin \theta = \pm\sqrt{1-(\frac{-4}{5})^2 } =\pm\sqrt{1-\frac{16}{25}} =\pm\sqrt{\frac{25-16}{25}} =\pm \sqrt{\frac{9}{25} } = \pm\frac{3}{5}$

Since, sin < 0

⇒ $\sin \theta = -\frac{3}{5}$

now, find $\tan \theta$ :

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

Substitute the given values we have;

$\tan \theta = \frac{-\frac{3}{5} }{-\frac{4}{5} } = \frac{3}{5}\times \frac{5}{4} = \frac{3}{4}$

Therefore, the exact value of:

(a)

$\sec \theta =-\frac{5}{4}$

(b)

$\tan \theta= \frac{3}{4}$

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3 years ago

5 increased by product of x a three is 23 what is x ?

Gala2k [10]

5+3x=23 x=6 the answer is 6

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2 years ago

What is 83.03 plus 5percent equals to what

kati45 [8]

♥ 5%= 0.05
83.03+0.05=<span>83.08
Final answer: </span>83.08

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3 years ago

Evaluate functions from their graphs

blagie [28]

Answer:

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Step-by-step explanation:

?????

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2 years ago