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bulgar [2K]
3 years ago
11

the excercise goes like" there are 20 books on the lowest shelf, 18 on next one, 16 on next one etc., till the top shelf on whic

h there is 4 books. How many books are on this bookshelf?"
Mathematics
2 answers:
Alik [6]3 years ago
8 0
K so bottom has 20 and each time it goes up you the shelf has 2 less books, so to find how many shelves there are. There are 9 shelves so we add the number of books of these 9 shelves 20+18+16+14+12+10+8+6+4=108

THere are 108 books

Hope that helpes srry if took so long i had to get up for a sec :)
Elena L [17]3 years ago
4 0
20+16+12+8+4= 132 books mah fweind
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Step-by-step explanation:

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2 years ago
What conclusion can be made based on this equation 8×6=48
Readme [11.4K]

Answer:

That 48 is a multiple of 8 and 6. That 8 and 6 are factors of 48 (which is the same as saying that 8 and 6 are divisors of 48).

7 0
2 years ago
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Need help on this math question!!!
gavmur [86]

Answer:

s = 10w

Step-by-step explanation:

We can find the equation in <u>slope-intercept form</u> which is y = mx + b. The variables mean:

"b" - for the y-intercept (where the graph hits the y-axis)

"m" - for the slope (how steep the line is)

"x" and "y" - coordinates that satisfy the equation (points on the line)

From the graph, we can see that the y-intercept is 0. b = 0, therefore we do not need to write it in the equation.

To find the slope, "m", use the equation  m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}. To use it, substitute the coordinates for two points. Using the diagram, choose a point 1 and a point 2.

Point 1 (0, 0)      x₁ = 0   y₁ = 0

Point 2 (1, 10)     x₂ = 1   y₂ = 10

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}          Substitute values

m = \frac{10-0}{1-0}          Subtract to simplify

m = \frac{10}{1}          Simplify the fraction

m = 10            Slope of the line

Since we know "m" and "b", we can write the equation:

y = mx + b

y = 10x + 0

y = 10x

We are not using "x" and "y" in this case. Change them according to the question.

x => w

y => s

y = 10x   =>   s = 10w

5 0
2 years ago
Cos ( α ) = √ 6/ 6 and sin ( β ) = √ 2/4 . Find tan ( α − β )
Zina [86]

Answer:

\purple{ \bold{ \tan( \alpha  -  \beta ) = 1.00701798}}

Step-by-step explanation:

\cos( \alpha ) =  \frac{ \sqrt{6} }{6}  =  \frac{1}{ \sqrt{6} }  \\  \\  \therefore \:  \sin( \alpha )  =  \sqrt{1 -  { \cos}^{2} ( \alpha ) }  \\  \\  =  \sqrt{1 -  \bigg( {\frac{1}{ \sqrt{6} } \bigg )}^{2} }  \\  \\ =  \sqrt{1 -  {\frac{1}{ {6} }}}  \\  \\ =  \sqrt{ {\frac{6 - 1}{ {6} }}}   \\  \\  \red{\sin( \alpha ) =  \sqrt{ { \frac{5}{ {6} }}} } \\  \\  \tan( \alpha ) =  \frac{\sin( \alpha ) }{\cos( \alpha ) }  =  \sqrt{5}  \\  \\ \sin( \beta )  =  \frac{ \sqrt{2} }{4}  \\  \\  \implies \: \cos( \beta )  =   \sqrt{ \frac{7}{8} }  \\  \\ \tan( \beta )  =  \frac{\sin( \beta ) }{\cos( \beta ) } =  \frac{1}{ \sqrt{7} }   \\  \\  \tan( \alpha  -  \beta ) =  \frac{ \tan \alpha  -  \tan \beta }{1 +  \tan \alpha .  \tan \beta}  \\  \\  =  \frac{ \sqrt{5} -  \frac{1}{ \sqrt{7} }  }{1 +  \sqrt{5} . \frac{1}{ \sqrt{7} } }  \\  \\  =  \frac{ \sqrt{35} - 1 }{ \sqrt{7}  +  \sqrt{5} }  \\  \\  \purple{ \bold{ \tan( \alpha  -  \beta ) = 1.00701798}}

8 0
3 years ago
Can anyone solve this?
Serhud [2]

Answer:

A) 96 cm

Step-by-step explanation:

Split into three parallelograms

Shape 1: 6 by 7     6×7=42

Shape 2: 3 by 4    3×4=12

Shape 3: 6 by 7    6×7=42

42+12+42=96

6 0
2 years ago
Read 2 more answers
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