(15 points!)

1 answer:

4 0

If we put number 100 as the value
first year: 100
second year: 80
third year: 64
fourth year :51.2
fifth year: 40.96

good luck

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A/5 divided by 3/10a if a does not equal 0? What is the answer?

lidiya [134]

Answer:

The answer is $\frac{2}{3}$

Step-by-step explanation:

When we divide two fractions, we multiply the numerator by the inverse of the denominator. So

$\frac{\frac{a}{5}}{\frac{3a}{10}} = \frac{a}{5} \times \frac{10}{3a} = \frac{10*a}{5*3a} = \frac{10a}{15a} = \frac{2}{3}$

The answer is $\frac{2}{3}$

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Sin∅=√3-1/2 find approximate value of sec∅(sec∅+tan∅)/1+tan²∅

Neko [114]

Answer:

The approximate value of $f(\theta) = \frac{\sec \theta \cdot (\sec \theta+\tan \theta)}{1+\tan^{2}\theta}$ is 1.366.

Step-by-step explanation:

Let $f(\theta) = \frac{\sec \theta \cdot (\sec \theta+\tan \theta)}{1+\tan^{2}\theta}$ , we proceed to simplify the formula until a form based exclusively in sines and cosines is found. From Trigonometry, we shall use the following identities:

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

$\tan\theta = \frac{\sin\theta}{\cos \theta}$ (2)

$\cos^{2}+\sin^{2} = 1$ (3)

Then, we simplify the given formula:

$f(\theta) = \frac{\left(\frac{1}{\cos \theta} \right)\cdot \left(\frac{1}{\cos \theta}+\frac{\sin \theta}{\cos \theta}\right) }{1+\frac{\sin^{2}\theta}{\cos^{2}\theta} }$