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3 years ago

Suppose you are covering your desk (shape below) with paper and want to know how many square inches of paper you need.

Mathematics

1 answer:

zavuch27 [327]3 years ago

3 0

Answer:

a. Divide the figure into two rectangles, find the area of each rectangle and add them (See the picture attached).

b. $279\ in^2$

c. The total area of the figure is 279 square inches.

Step-by-step explanation:

a. Divide the figure into two rectangles (See the picture attached), then find the area of each rectangle and finally, add the areas calculated in order to get the total area of the given figure,

b. The area of a rectangle can be found using this formula:

$A=lw$

Where "l" is lenght and "w" is the width.

Area of Rectangle A

You can identify that:

$l_A=19\ in\\\\w_A=11\ in$

Then, its area is:

$A_A=(19\ in)(11\ in)=209\ in^2$

Area of Rectangle B

You can identify that:

$l_B=10\ in\\\\w_B=18\ in-11\ in=7\ in$

Then, its area is:

$A_B=(10\ in)(7\ in)=70\ in^2$

Total area

$A_T=209\ in^2+70\ in^2=279\ in^2$

c. The total area of the figure is 279 square inches.

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Answer:

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Step-by-step explanation:

We have the following points of data

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If we find the middle number we'll see that it's between 55 and 56. When this is the case you find the average of the two numbers (add them and divide by 2)

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Answer:

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Step-by-step explanation:

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2 years ago

I need the smaller and larger angle

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x=11

Step-by-step explanation:

(4x)+(3x+13)=90

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3 years ago

Which score indicates the highest relative position? I. A score of 2.6 on a test with X = 5.0 and s = 1.6 II. A score of 650 on

Zanzabum

Answer:

A score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6 and A score of 48 on a test with $\bar X$ = 57 and s = 6 indicate the highest relative position.

Step-by-step explanation:

We are given the following:

I. A score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6

II. A score of 650 on a test with $\bar X$ = 800 and s = 200

III. A score of 48 on a test with $\bar X$ = 57 and s = 6

And we have to find that which score indicates the highest relative position.

For finding in which score indicates the highest relative position, we will find the z score for each of the score on a test because the higher the z score, it indicates the highest relative position.

The z-score probability distribution is given by;

Z = $\frac{X-\bar X}{s}$ ~ N(0,1)

where, $\bar X$ = mean score

s = standard deviation

X = each score on a test

The z-score of First condition is calculated as;

Since we are given that a score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6,

So, z-score = $\frac{2.6-5}{1.6}$ = -1.5 {where $\bar X = 5.0$ and s = 1.6 }

The z-score of Second condition is calculated as;

Since we are given that a score of 650 on a test with $\bar X$ = 800 and s = 200,

So, z-score = $\frac{650-800}{200}$ = -0.75 {where $\bar X = 800$ and s = 200 }

The z-score of Third condition is calculated as;

Since we are given that a score of 48 on a test with $\bar X$ = 57 and s = 6,

So, z-score = $\frac{48-57}{6}$ = -1.5 {where $\bar X = 57$ and s = 6 }

AS we can clearly see that the z score of First and third condition are equally likely higher as compared to Second condition so it can be stated that A score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6 and A score of 48 on a test with $\bar X$ = 57 and s = 6 indicate the highest relative position.

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