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3 years ago

7

A 150-foot fence encloses a garden. What is the length of each side of the garden

2 answers:

Helga [31]3 years ago

4 0

I Think 150 divided by 4=37.5

Simora [160]3 years ago

3 0

It's possible to be a rectangle where the sides are 100ft and the width is 25ft

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When planning a date night, you have a choice of 2 types of restaurants: pizza (P) or barbeque (B); a choice of 3 types of movie

enot [183]

Answer:

$S = \{PRC, PRI,PAC,PAI,PDC,PDI,BRC, BRI,BAC,BAI,BDC,BDI\}$

Step-by-step explanation:

Given

$Restaurant = \{P,B\}$

$Movies = \{R,A,D\}$

$Post-movie = \{C,I\}$

Required

List out the sample space

To do this, we simply pick 1 item in each category, without repetition.

So, we have:

$S = \{PRC, PRI,PAC,PAI,PDC,PDI,BRC, BRI,BAC,BAI,BDC,BDI\}$

4 0

3 years ago

Simplify the following

den301095 [7]

Answer:

1) 11 $\sqrt{3}$

2) 2 $\sqrt{2}$

3) $20\sqrt{3} + 15\sqrt{2}$

4) $53 + 12\sqrt{10}$

5) -2

6) $7\sqrt{2} - 5\sqrt{3}$

Step-by-step explanation:

1) 2 $\sqrt{12}$ + 3 $\sqrt{48}$ - $\sqrt{75}$

=(2 × 2 $\sqrt{3}$ )+ (3 × 4 $\sqrt{3}$ ) - 5 $\sqrt{3}$

= 4 $\sqrt{3}$ + 12 $\sqrt{3}$ - 5 $\sqrt{3}$

= 11 $\sqrt{3}$

2) 4 $\sqrt{8}$ -2 $\sqrt{98}$ + $\sqrt{128}$

= (4 × 2 $\sqrt{2}$ ) - (2 × 7 $\sqrt{2}$ ) + 8 $\sqrt{2}$

= 8 $\sqrt{2}$ - 14 $\sqrt{2}$ +8 $\sqrt{2}$

= 2 $\sqrt{2}$

3) 5 $\sqrt{12\\}$ - 3 $\sqrt{18} + 4 \sqrt{72} +2\sqrt{75}$

= 5× $2\sqrt{3}$ - 3× $3\sqrt{2}$ + 4× $6\sqrt{2}$ + 2× $5\sqrt{3}$

= $10\sqrt{3} - 9\sqrt{2} +24\sqrt{2} +10\sqrt{3}$

= $20\sqrt{3} + 15\sqrt{2}$

4) $(2\sqrt{2} + 3\sqrt{5} )^{2}$

= $8 + 12\sqrt{10} + 45$

= $53 + 12\sqrt{10}$

5) $(1+\sqrt{3} ) (1-\sqrt{3} )$

= $1 - 3$

= -2

6) $(2\sqrt{6} -1) (\sqrt{3} -\sqrt{2} )$

= $2\sqrt{18}-2\sqrt{12} -\sqrt{3} +\sqrt{2}$

= 2× $3\sqrt{2}$ - 2× $2\sqrt{3}$ - $\sqrt{3} + \sqrt{2}$

= $6\sqrt{2} - 4\sqrt{3} -\sqrt{3} +\sqrt{2}$

= $7\sqrt{2} - 5\sqrt{3}$

Hope the working out is clear and will help you. :)

5 0

3 years ago

Read 2 more answers

Elena needs to find a table that will fit three cube-shaped cases, each containing a frog.

iVinArrow [24]

The area of the table is 3.75 feet
The boxes are .83333 feet by .83333 feet so that area is .69
.69x3 is 2.07 so yes they will fit on top of the table

6 0

3 years ago

Which expression is equivalent to 12•2•3

Ivahew [28]

Answer:

4 x 3 x 2 x 3

Step-by-step explanation:

4 x 3 = 12

12 x 2 = 24

24 x 3 = 36

It doesn't matter what order it will come out to be 36 in every situation, since PEMDAS isn't needed.

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Ccos2%5Cpi%20" id="TexFormula1" title=" \cos2\pi " alt=" \cos2\pi " align="absmiddle" cla

Georgia [21]

Answer:

answer=cos2 I ---------1

5 0

3 years ago