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3 years ago

Why do scientists use percentages less than 1

Mathematics

1 answer:

olganol [36]3 years ago

3 0

They use percents less than one to get the the exact number

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<img src="https://tex.z-dn.net/?f=Evaluate%3A%20%5Csqrt%7B%20%5Cfrac%20%7B1%20-%20sin%28x%29%7D%7B1%20%2B%20sin%28x%29%E2%80%8B%

stealth61 [152]

$\large\underline{\sf{Solution-}}$

We have to evaluate the given expression.

$\rm = \sqrt{ \dfrac{1 - \sin(x) }{1 + \sin(x) } }$

If we multiple both numerator and denominator by 1 - sin(x), then the value remains same. Let's do that.

$\rm = \sqrt{ \dfrac{[1 - \sin(x)][1 - \sin(x) ]}{[1 + \sin(x)][1 - \sin(x) ]} }$

$\rm = \sqrt{ \dfrac{[1 - \sin(x)]^{2}}{1- \sin^{2} (x) } }$

We know that:

$\rm \longmapsto { \sin}^{2}(x) + \cos^{2}(x) = 1$

$\rm \longmapsto \cos^{2}(x) = 1 - { \sin}^{2}(x)$

Therefore, the expression becomes:

$\rm = \sqrt{ \dfrac{[1 - \sin(x)]^{2}}{\cos^{2} (x)}}$

$\rm = \dfrac{1 - \sin(x)}{\cos(x)}$

$\rm = \dfrac{1}{\cos(x)} - \dfrac{ \sin(x) }{ \cos(x) }$

$\rm = \sec(x) - \tan(x)$

7 0

2 years ago

Read 2 more answers

Find the ordered pair (s, t) that satisfies the system

sertanlavr [38]

$\left\{\begin{array}{ccc}\dfrac{s}{2}-3t=-1&\text{multiply both sides by 4}\\3t-2s=3\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2s-12t=-4\\3t-2s=3\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad -9t=-1\qquad\text{divide both sides by (-9)}\\.\qqud\qquad\boxed{t=\dfrac{1}{9}}\\\\\text{Put the value of t to the second equation}\\\\3\left(\dfrac{1}{9}\right)-2s=3\\\\\dfrac{1}{3}-2s=3\qquad\text{subtract}\ \dfrac{1}{3}\ \text{from both sides}$

$-2s=2\dfrac{2}{3}\qquad\text{divide both sides by (-2)}\\\\s=\dfrac{8}{3}\cdot\left(-\dfrac{1}{2}\right)\\\\\boxed{s=-\dfrac{4}{3}}\\\\Answer:\ \boxed{\left(-\dfrac{4}{3},\ \dfrac{1}{9}\right)}$

4 0

2 years ago

Which expression is equivalent to (5^-2)(5^-1)

nadya68 [22]

The rule for multiplying similar bases with exponents:

(a^b)(a^c)=a^(b+c)

In this case we have:

(5^-2)(5^-1)

5^(-2-1)

5^(-3)

The rule for negative exponents:

a^(-b)=1/(a^b)

So in this case:

5^(-3) is equal to

1/(5^3)

1/125

5 0

3 years ago

Read 2 more answers

1.2/4.4 = 3/a what is a

bazaltina [42]

Simply cross multiply and simplify to get a = 11

Hope this helped!! xx

7 0

3 years ago

Read 2 more answers

Which decimal is between 6.4 and 6.6? A.) 6.04 , B.) 6.44 , C.) 6.60 , or D.) 6.06

m_a_m_a [10]

B 6.44 because 6.4 is equal to 6.40 and in between 6.40 and 6.60 there is 6.44.

4 0

2 years ago