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Alex
3 years ago
7

A rectangular garden is 6 feet long and 4 feet wide. A second rectangular garden has dimensions that are double the dimensions o

f the first garden. What is the percent of change in perimeter from the first garden to the second garden?
Mathematics
2 answers:
Goshia [24]3 years ago
6 0
__________         _____________________
|    6 feet      |        |    6 feet       |     6 feet      |
|                   |        |                    |                    |    4 feet
|_________ |        |__________|__________|
                             |                    |                    |
                             |                    |                    |    4 feet
                             |__________|__________|

<span>the figure shows that the second garden has a circumference twice . We must , however, prove.
</span><span>Denote the sides of the first garden - a rectangle letters a and b
</span><span>circuit garden
C</span>₁<span> = 2a + 2b = 2*(a+b)
</span><span>The sides of the second garden also denoted with the letters a and b . We calculate the circuit
</span>C₂ = 2*2a + 2*2b = 4a + 4b = 4*(a+b)

k = \frac{ C_{2} }{ C_{1} }  =  \frac{4*(a+b)}{2*(a+b)}  =  \frac{2*(a+b)}{1}  = 2*(a+b)
 
2 = 2*100%=200%
200% -100% = 100%

Answer : The ratio of the second garden to the first ( ratio ) is 2 . <span>Circuit increased by 100 %</span>

Ulleksa [173]3 years ago
4 0
Double dimentions
perimiter

P=2(L+W)

if we have
L=6
W=4
P=2(6+4)
P=2(10)
P=20
original is 20
if both are doubled

6*2=12
4*2=8
P=2(12+8)
P=2(20)
P=40


from original to new is
from 20 to  40
what is percent  change?
find chnage
new-original=change
40-20=20
percent change=change/original
20/20=1=100%

answer is 100%
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4 0
3 years ago
student randomly receive 1 of 4 versions(A, B, C, D) of a math test. What is the probability that at least 3 of the 5 student te
alexdok [17]

Answer:

1.2%

Step-by-step explanation:

We are given that the students receive different versions of the math namely A, B, C and D.

So, the probability that a student receives version A = \frac{1}{4}.

Thus, the probability that the student does not receive version A = 1-\frac{1}{4} = \frac{3}{4}.

So, the possibilities that at-least 3 out of 5 students receive version A are,

1) 3 receives version A and 2 does not receive version A

2) 4 receives version A and 1 does not receive version A

3) All 5 students receive version A

Then the probability that at-least 3 out of 5 students receive version A is given by,

\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\times \frac{3}{4}+\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}+\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}

= (\frac{1}{4})^3\times (\frac{3}{4})^2+(\frac{1}{4})^4\times (\frac{3}{4})+(\frac{1}{4})^5

= (\frac{1}{4})^3\times (\frac{3}{4})[\frac{3}{4}+\frac{1}{4}+(\frac{1}{4})^2]

= (\frac{3}{4^4})[1+\frac{1}{16}]

= (\frac{3}{256})[\frac{17}{16}]

= 0.01171875 × 1.0625

= 0.01245

Thus, the probability that at least 3 out of 5 students receive version A is 0.0124

So, in percent the probability is 0.0124 × 100 = 1.24%

To the nearest tenth, the required probability is 1.2%.

4 0
3 years ago
) Turner helped his grandfather build a raised garden bed for Turner's grandmother. The
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The formula for calculating the volume of a rectangular prism is expressed as:

V = lwh

If turner and his grandfather used 18 bags of topsoil, each containing 3/4 of a cubic foot, to fill the bed completely, hence;

V = 3/4 * 18

V = 13.5 cubic foot

In order to determine the length of the garden;

135/10 = 9/2 * 1/2l

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Learn more on volume of rectangular prism here: brainly.com/question/24284033

5 0
2 years ago
The following statistics represent weekly salaries at a construction company.
11111nata11111 [884]

Answer:

The most common salary is $605. The salary that half the employees salaries surpass is $630. The percent of employees salary that serve because $700 is 75%. Percent of employees salaries that were less than $480 is 25%. The 9% percent of employees salaries this surpass $891 years. The total weekly salary of 104 employees is 57200.

Step-by-step explanation:

It is given that mean is $550, first quartile is $480,  median is $630, third quartile is $700,  mode is $605 and 91st percentile is $891.

First quartile is at 25% of the data, median is at 50% of the data, third quartile is at 75% of the data.

The mode of a set of data values is the value that occurs most often.

The most common salary is mode, therefore the most common salary is $605.

The salary that half the employees salaries surpass is $630. Because median is the half of the data.

The percent of employees salary that serve because $700 is 75%. Because $700 is third quartile.

Percent of employees salaries that were less than $480 is 25%. Because $480 is first quartile.

The percent of employees salaries this surpass $891 years is 9%. Because $891 is 91 percentile. Therefore 9% employees get more than $891.

If the company has 104 employees than the total salary of employees is

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because means is $550, therefore the total weekly salary of 104 employees is 57200.

8 0
3 years ago
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Romashka [77]

Answer:

x = 51

Step-by-step explanation:

The sum of internal angles for this rectangle is 360

x + 81 + 124 + 104 = 360 add like terms

x + 309 = 360 subtract 309 from both sides

x = 51

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3 years ago
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