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3 years ago

If a rectangle has perimeter of 50 cm., what could its dimensions (length and

Mathematics

2 answers:

Feliz [49]3 years ago

5 0

Answer:

The two middle ones: 15cm and 10cm; 5cm and 20cm

Step-by-step explanation:

The first one would be a rectangle with a perimeter of 100, while the last would have a perimeter of 30.

Vladimir79 [104]3 years ago

3 0

Answer:

Step-by-step explanation:

Given a rectangle where the length is 5cm and the width is 3cm. Find the area of this rectangle.

Solution: To calculate the area, we can use the formula for the area of a rectangle:

A = L×W

Since the length is given as 5cm, we can substitute L with 5. Similarly, since the width is given as 3cm, we can substitute W with 3. After doing so, we can calculate A, as shown below:

A = L×W

A = 3×5

A = 15

Now, the calculated number 15 only has a meaning if we include the unit for it. Since the given length and width are in cm, the unit for area will be cm2. Hence:

A = 15 cm2

Example 2: Find the area of the garden, length and width of the garden are respectively 600m and 400m.

Solution:

Area of garden = Length×Width

A = L×W

A = 600×400

A = 240000 m2

Example 3: A white paper has a size of length 20 cm and width 15 cm. Jack has drawn a rectangle in the center of the paper which is 10 cm in length and 5 cm in width and painted the entire rectangle in violet color. Find the area of the violet colored portion and area of white portion.

Solution: We know that area of a rectangle is length × width.

Here the given paper has the shape of a rectangle.

So the area of the paper is = 20cm x 15cm = 300cm².

And the area of the violet colored rectangle = 10cm x 5cm = 50cm².

So the area of the white portion = 300cm² - 50cm² = 250cm².

Example 4: The length of a rectangular shaped garden is 250 meters and then the width of the garden is 175 meters. Find the area of the rectangular garden.

Solution: The length of the garden = 250 meter

The width of the garden = 175 meter

Area of the rectangular garden = 250 x 175

= 43,750 m2

Example 5: In an auditorium the floor is covered with a rectangular carpet, which is measured 9 m in length and 6 m in width. Calculate the area of the rectangle carpet.

Solution:

Given that, length (L) of carpet =9m and Breadth of a carpet (W) =6m

Area of rectangle = length Breadth

Area = L × W = 9 × 6 = 54 m2

sorry if it long hope it helps tho

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Law Incorporation [45]

Answer:

50x50=1000000

Step-by-step explanation:

4 0

3 years ago

a sandwich shop has 60 stores and 70 percent of the stores are I California. How many stores are in California and Nevada

Aliun [14]

Answer:

The number of stores in California 42

The number of stores in Nevada 18

Step-by-step explanation:

Given as :

The total sandwich shop in California and Nevada = 60

The percentage of shop in California = 70%

So, The percentage of shop in Nevada = 100% - 70% = 30%

Let The number of stores in California = c

And The number of stores in Nevada = n

Now, According to question

The number of stores in California = 70% of the total number of shops

I.e c = $\frac{70}{100}$ × total number of shops

Or, c = $\frac{70}{100}$ × 60

∴ c = $\frac{70\times 60}{100}$

or, c = $\frac{4200}{100}$

or, c = 42

So, The number of stores in California = c =42

Again

The number of stores in Nevada = 30% of the total number of shops

I.e n = $\frac{30}{100}$ × total number of shops

Or, n = $\frac{30}{100}$ × 60

∴ n = $\frac{30\times 60}{100}$

or, n = $\frac{1800}{100}$

or, n = 18

So, The number of stores in Nevada = n = 18

Hence The number of stores in California 42

And The number of stores in Nevada 18 Answer

8 0

3 years ago

Accountants at the Tucson firm, Larry Youdelman, CPAs, believed that several traveling executives were submitting unusually hi

77julia77 [94]

Answer:

a) $Y= 90 +46.50(5) +0.35 (340) =441.50$

b) The accountant should not question the voucher as the request is much higher than expected.

c) We can add the following variables

d) The percentage of variation in the trip cost that can be explained by the model = (0.64)^2 =0.4096 or 40.96%

A. Type of travel (air/car)

B. Gender of the executive (male/female)

The last option is not too important since we are analyzing the traveling executives not the type of business

Step-by-step explanation:

Part a

For this case we have the multiple regression model given by:

$Y= 90 +46.50 x_1 +0.35 x_2$

Where $x_1$ represent the number of days on the road and $x_2$ the distance traveled in miles.

And we want to find the expected amount from a 340-mile trip that took her out of town for 5 days, so we just need to replace x1= 5 and x2=340 and we got:

$Y= 90 +46.50(5) +0.35 (340) =441.50$

Part b

The expected value taking in count that x1 = 5 and y = 340 is:

$Y= 90 +46.50(55) +0.35 (340) =441.50$

And the difference from the obtained value is : 685-441.50=243.5

So then the correct answer would be:

The accountant should not question the voucher as the request is much higher than expected.

Part c

We can add the following variables

A. Type of travel (air/car)

B. Gender of the executive (male/female)

The last option is not too important since we are analyzing the traveling executives not the type of business

Part d

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

The coefficient of determination "is a measure used in statistical analysis that assesses how well a model explains and predicts future outcomes. It is indicative of the level of explained variability in the data set".

The percentage of variation in the trip cost that can be explained by the model = (0.64)^2 =0.4096 or 40.96%

6 0

3 years ago

In ΔDEF, the measure of ∠F=90°, the measure of ∠D=70°, and EF = 4.4 feet. Find the length of FD to the nearest tenth of a foot.

shutvik [7]

Answer:

1.6

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Independent Practice

Oduvanchick [21]

I believe the answer is d y=x^3 i hope this helped

8 0

3 years ago