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3 years ago

Can anyone help solve question3 the (ii) and the question2 match the following

Mathematics

1 answer:

Trava [24]3 years ago

3 0

Answer:

i) (c)

ii) (d)

iii) (b)

iv) (a)

ii) 80°

Step-by-step explanation:

i) 2x+x+3x=180°

x=30°

ii) x+110=180

x=70

iii) x+2x+30°=180

x=50°

iv) 2x+15°+45°+x=180

3x+60°=180

x=40°

ii) 2x+5+25=180°

2x+30°=180°

x=75°

the measure: x+5°= 75°+5°=80°

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Solution:

The permutation formula is expressed as

$\begin{gathered} P^n_r=\frac{n!}{(n-r)!} \\ \end{gathered}$

The combination formula is expressed as

$\begin{gathered} C^n_r=\frac{n!}{(n-r)!r!} \\ \\ \end{gathered}$

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Given that 6 objects are taken at a time from 8, this implies that

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Thus,

Number of permuations:

$\begin{gathered} P^8_6=\frac{8!}{(8-6)!} \\ =\frac{8!}{2!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!} \\ 2!\text{ cancel out, thus we have} \\ \begin{equation*} 8\times7\times6\times5\times4\times3 \end{equation*} \\ \Rightarrow P_6^8=20160 \end{gathered}$

Number of combinations:

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1 year ago

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From the given graph, redline passes through (-1,0) and (0,1)

The slope of Redline is m= $\frac{(Y2-Y1)}{(X2-X1)}$

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The slope of Redline is m=(1)

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