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2 years ago

Find and simplify an expression for the area of two rows of b squares with side lengths of b centimeters. Please help!

Mathematics

1 answer:

Ronch [10]2 years ago

6 0

Answer:

The complete area of the given figure is $(2 b^3) cm^2$

Step-by-step explanation:

Total number of rows = 2

Squares in each row = b

So, the total number of squares in 2 rows = 2 x ( Squares in 1 row ) = 2 x b

Also, side length of 1 square = b cm

As we know, AREA OF SQUARE = SIDE x SIDE

So here, area of 1 square = Side x side = b cm x b cm = $(b^2) cm^2$

⇒ The area of total (2b) squares = 2 b x ( Area of 1 square)

$= 2 b \times (b^2) = 2 b^3$

Hence, the complete area of the given figure is $(2 b^3) cm^2$

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3 years ago

Find the distance between the points (-5, 0) and (-4, 1).

choli [55]

The formula of a distance between two points A and B is :

$AB=\sqrt{(x_{B}- x_{A})^2 +( y_{B}- y_{A})^2 }$

You should this formula by heart.

Then, you just have to apply it ! :D

Here :

$x_{A}=-5$
$y_{A} =0$

$x_{B} =-4$
$y_{B}= 1$

Therefore :

$\sqrt{(-4-(-5))^2+(1-0)^2}$
$= \sqrt{1^2+1^2}$
$= \sqrt{1+1}$
$= \sqrt{2}$

In short, the answer would be the first option : $\sqrt{2}$ .

Hope this helps !

Photon

6 0

3 years ago

Read 2 more answers

Ivisional income statements and return on investment analysis

tensa zangetsu [6.8K]

The condensed divisional income statements for the three divisions is: $1,159,200, $268,800, $820,800.

<h3>Condensed divisional income statements </h3>

E.F. Lynch Company

Divisional Income Statements For the Year Ended June 30, 20Y8

Mutual Fund Electronic Brokerage Investment Banking Division

Fee revenue $4,140,000 $3,360,000 $4,560,000

Operating expenses $2,980,800 3,091,200 $3,739,200

Operating income $1,159,200, $268,800, $820,800

2. Profit margin, investment turnover, and return on investment

Mutual Fund Electronic Brokerage Investment Banking Division

Sales $4,140,000 $3,360,000 $4,560,000

Invested assets $5,175,000 $1,120,000 $3,800,000

Operating income $1,159,200, $268,800, $820,800

Margin and Turnover

Margin= Net operating income/Net sales

Mutual Fund Electronic Brokerage Investment Banking Division

Operating income $1,159,200 $268,800 $820,800

Sales $4,140,000 $3,360,000 $4,560,000

Margin 28% 8% 18%

Asset turnover ratio=Net sales/Average operating assets

Mutual Fund Electronic Brokerage Investment Banking Division

Sales $4,140,000 $3,360,000 $4,560,000

Invested Assets $5,175,000 $1,120,000 $3,800,000

Turnover 0.8 3 1.2

Return on investment (ROI)=Margin×Assets turnover

Mutual Fund Electronic Brokerage Investment Banking Division

Margin 28% 8% 18%

Assets turnover 0.8 3 1.2

RO1 22.4% 24% 21.6%

Summary:

Division Profit Margin Investment Turnover ROI

Mutual Fund Division 28% 0.8 22.4%

Electronic Brokerage Division 8% 3 24%

Investment Banking Division 18% 1.2 21.6%

3. When faced with limited funds for expansion, management should consider an expansion of the Electronic Brokerage Division first.

Therefore the condensed divisional income statements for the three divisions is: $1,159,200, $268,800, $820,800.

Learn more about condensed divisional income statements here:brainly.com/question/20350980

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1 year ago

Find the mean median and the mode of each set of data.are the sets the same

KATRIN_1 [288]

Mode would be sets that are the same

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2 years ago