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Viefleur [7K]
3 years ago
7

PLEASE HELP ME I DO NOT UNDERSTAND WHAT TO DO COULD SOMEONE HELP ME PLEASE THANK YOU I REALLY APPRECIATE IT

Mathematics
1 answer:
mamaluj [8]3 years ago
8 0

a.) A flat pattern that could be folded to make a 3-dimensional figure is called a "net." You can draw one for Tyler's bench by picking any surface of that rectangular prism and making a drawing of it. At any edge you choose, you can add the adjacent surface to your drawing. Keep doing this until all 6 surfaces are shown in their correct relationship to adjacent surfaces. An example is attached. (This is not the only way the net can be drawn.)

Interior lines of the net can be solid or dashed as you wish. I have shown some of them dashed so as to better illustrate how the area can be computed.

b.) The area of this figure represents the surface area of the rectangular prism. The dimensions of each surface will be 1×1.5, 1×5, or 1.5×5. There are two surfaces with each pair of dimensions. (Perhaps you can find each of these rectangles on the net diagram. Ones with the same dimensions are opposite faces of the rectangular prism.) We can add up the areas of the smaller rectangles to find the total, or we can take advantage of the drawing and divide the area into a smaller number of larger chunks that may make the computation easier.

For example, the rectangle AI that is shaded red is 5×4 in size, for a total of 20 ft². The rectangle KN that is shaded green is 8×1 in size, for a total of 8 ft². Then the total amount of cloth Tyler needs to reupholster his bench is

... 20 ft² + 8 ft² = 28 ft²

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Use decimals and fractions in the same equation showing the Commutative Property. Repeat for the Associative Property.
Anna71 [15]

For Commutative Property of Addition

Let us take a decimal number 2.14 and a fraction \frac{5}{20}

Now, according to the Commutative property of Addition:

For any two numbers a and b :

a+b = b+a

So, for 2.14 and \frac{5}{20}

Let us add

2.14+\frac{5}{20}  = \frac{214}{100}  +\frac{5}{20}

                                   =\frac{214}{100}  + \frac{5 \times 5}{20 \times 5} \\ \\=\frac{214}{100}  + \frac{25}{100} \\ \\= 2.14 + 0.25 \\ \\ = 2.39

Also,

\frac{5}{20} + 2.14  = \frac{5}{20} + \frac{214}{100}

                                     = \frac{5 \times 5}{20 \times 5} +\frac{214}{100} \\ \\= \frac{25}{100}  + \frac{214}{100} \\ \\=  0.25 + 2.14 \\ \\ = 2.39

Therefore, 2.14+\frac{5}{20} = \frac{5}{20} + 2.14

Hence,  Commutative Property of Addition is satisfied.


For Associated Property of Addition

Let us take two same decimal numbers 2.14 , 7.25 and a fraction \frac{5}{20}

Now, according to the Associated property of Addition:

For any three numbers a, b  and  c

a + (b+c) =(a+b) + c

So, for 2.14 , 7.25 and \frac{5}{20}

The Left hand side:

a + (b+c)

2.14 + (7.25 + \frac{5}{20}) = 2.14 + (\frac{725}{100} + \frac{5 \times 5}{20\times 5})

                                                         = 2.14 + (\frac{725}{100} + \frac{25 }{100})

                                                         = 2.14 + (\frac{750}{100} )

                                                        = \frac{214}{100} + \frac{750}{100}

                                                         = \frac{964}{100}

                                                        =9.64


The Right hand side:

(a + b )+c

(2.14 + 7.25 )+ \frac{5}{20}= ( 9.39 ) + \frac{5 }{20}

                                                = 9.39  + \frac{5 \times 5 }{20 \times 5}

                                                = 9.39  + \frac{25}{100}

                                                = 9.39  + 0.25

                                                = 9.64


Thus,

(2.14 + (7.25 + \frac{5}{20} )= (2.14 + 7.25 )+ \frac{5}{20}

Therefore, 2.14+\frac{5}{20} = \frac{5}{20} + 2.14

Hence,  Associative Property of Addition is satisfied.




8 0
3 years ago
Please help me, i have been on this problem for 45 minutes.
docker41 [41]

Answer:

Step-by-step explanation:

The absolute difference is 77-(-8)=85. The only option that is equivalent is

|-8|+77

8 0
3 years ago
Anna enjoys dinner with her family at a restaurant in Washington, D.C. She leaves a 15% tip on the price of her meal. She also h
AnnZ [28]

Answer:

$22

Step-by-step explanation:

tax and the tip increase the price paid for the meal

she paid 15 + 10 = 25% more than the price of her meal

p = original price

1.15 x p = 27,50

p = 27.50 / 1.15 = 22

3 0
2 years ago
PLEASE HELP - QUIZ
Fittoniya [83]

Answer:

257.24 yd^2

Step-by-step explanation:

I made a video explaining, I promise it’s not anything unrelated to the question. Here it is: https://youtu.be/jHVtTCYzmzI

5 0
2 years ago
. True or False? Write your response next to the statements below. A) Sam computed a 90% confidence interval for µ from a specif
Aleks04 [339]

Answer:

A) True , B) True , C) False

Step-by-step explanation:

A) True : Confidence Interval is the interval range around sample statistic, which is certain by extent of confidence level, to consist the actual population parameter.

B) True : Confidence Interval is the interval range around sample statistic, which is certain by extent of confidence level, to consist the actual population parameter.

C) False : Null Hypothesis can be accepted, despite of being actually false. This is called Type 2 Error.

6 0
2 years ago
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