Mathematics: Kenneth completed 0.65 of the total number of sit-ups his coach required .what fraction best represents this amount?

Kenneth completed 0.65 of the total number of

MNM83

12.03.2022

we know that

$0.65=\frac{65}{100}$

Simplify

Divide by 5 both numerator and denominator

$\frac{65}{100}=\frac{13}{20}$

therefore

the answer is

$\frac{13}{20}$

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tabbic

20.10.2020

(B)

Explanation:

$(\sec \beta + 1)(\tan \beta \csc \beta - 1)$

$=\left(\dfrac{1}{\cos\beta} + 1 \right) \left(\dfrac{\sin \beta}{\cos \beta} \dfrac{1}{\sin \beta} - 1 \right)$

$=\left(\dfrac{1}{\cos\beta} + 1 \right) \left(\dfrac{1}{\cos \beta} - 1 \right)$

$= \left(\dfrac{1}{\cos^2 \beta} - 1 \right)$

$= \left(\dfrac{1 - \cos^2 \beta}{\cos^2 \beta} \right)$

$= \dfrac{\sin^2 \beta}{\cos^2 \beta}$

$= \tan^2 \beta$

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