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3 years ago

What is the common difference in the following arithmetic sequence? 2.8, 4.4, 6, 7.6

Mathematics

2 answers:

Vera_Pavlovna [14]3 years ago

7 0

Answer: 1.6 is the common difference

Step-by-step explanation:

Common difference of an arithmetic series is obtained by subtracting each next term by its previous term

Generally a,a+d,a+2d,a+3d ....,a+(n-1)d , here common difference is d .

therefore here we see that we get 1.6 if we take difference of the terms given .

here we can see that

4.4-2.8 = 6-4.4=7.6-6 = 1.6 is the common difference.

iren [92.7K]3 years ago

5 0

4.4 - 2.8 = 1.6

6 - 4.4 = 1.6

7.6 - 6 = 1.6

the common difference is 1.6

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Help on math please? Thanks

maks197457 [2]

Answer C

Domain are the first numbers without repeating the answers
Range are the second numbers without repeating the answers

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4 years ago

The area of an 14-cm-wide rectangle is 322 cm2. What is its length? The length is cm.

Anika [276]

Answer:

The length of rectangle is 23 cm.

Step-by-step explanation:

DIAGRAM :

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large{14\ cm}}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large{14\ cm}}\put(-0.5,-0.4){\bf}\put(-0.5,3.2){\bf}\put(5.3,-0.4){\bf}\put(5.3,3.2){\bf}\end{picture}$

$\begin{gathered}\end{gathered}$

SOLUTION :

Here's the required formula to find the length of rectangle :

${\longrightarrow{\pmb{\sf{A_{(Rectangle)} = l \times b}}}}$

A = Area
l = length
b = breadth

Substituting all the given values in the formula to find the length of rectangle :

$\begin{gathered}\qquad{\longrightarrow{\sf{A_{(Rectangle)} = l \times b}}}\\\\\qquad{\longrightarrow{\sf{322 = l \times 14}}}\\\\\qquad{\longrightarrow{\sf{322 = 14l}}}\\\\\qquad{\longrightarrow{\sf{l = \dfrac{322}{14}}}}\\\\\qquad{\longrightarrow{\sf{l = \cancel{\dfrac{322}{14}}}}}\\\\\qquad{\longrightarrow{\sf{l = 23 \: cm}}}\\\\\qquad{\star{\underline{\boxed{\sf{ \pink{l = 23 \: cm}}}}}}\end{gathered}$

Hence, the length of rectangle is 23 cm.

$\begin{gathered}\end{gathered}$

LEARN MORE :

$\boxed{\begin {minipage}{9cm}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}p\sqrt {4a^2-p^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {minipage}}$

$\rule{300}{2.5}$

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2 years ago

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Paraphin [41]

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3 years ago

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F(x)=x g(x)=1 what is the domain of (g/f)(x)

balandron [24]

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3 years ago

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I need someone to explain me quickly.

Alekssandra [29.7K]

Answer:

Finding x FIRST:

2x-9 = x+5

1x-9 = 5

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x = 14

Perimeter = Add all sides

Perimeter of KLM = 15+(2x-9)+8

= 15+(2(14)-9)+8

= 15+(28-9)+8

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3 years ago