The perimeter of a rectangular solar panel is 540 cm. The ratio of the length to the width is 3 : 2. What are the length and width?

Answers

Answer 1

Total number of parts = 3 + 2 = 5 parts

[tex]each \: part \: = \frac{(540 \div 5)}{2} \: m[/tex]

[tex] \\ each \: part \: = \frac{108}{2} m \: \\ \\ each \: part \: = 54 \: m[/tex]

Then , the length of this triangle :

[tex]54 \times 3 \: m[/tex]

[tex] = 162 \: m[/tex]

Then , the width of this triangle will be :

[tex]54 \times 2 \: m[/tex]

[tex]108 \: m[/tex]

∴ The length of this rectangle is 162 m and the width of this rectangle is 108 m .


Related Questions

What does v equal? ;-;

Answers

Answer:

v=-3

Step-by-step explanation:

-1=1/3v

-1*3=v

-3=v

Answer:

Step-by-step explanation:

[tex]-1 = \frac{1}{3} v[/tex]

Multiply by 3

[tex]-3 = v[/tex]

Baby weights: The weight of male babies less than 2 months old in the United States is normally distributed with mean 11.8 pounds and standard deviation 3.1 pounds. Use the TI-84 Plus calculator to answer the following. (a) What proportion of babies weigh more than 13 pounds? (b) What proportion of babies weigh less than 14 pounds? (c) What proportion of babies weigh between 11 and 15.8 pounds? (d) Is it unusual for a baby to weigh more than 18 pounds? Round the answers to four decimal places.

Answers

Answer:

(a)0.3493

(b) 0.7611

(c) 0.5034

(d) No it is not unusual

Step-by-step explanation:

Using the TI-84 Plus calculator to answer the following

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean 11.8 pounds and Standard deviation 3.1 pounds.

(a) What proportion of babies weigh more than 13 pounds?

z = (x-μ)/σ

= 13 - 11.8/3.1

= 0.3871

Probability value from Z-Table:

P(x<13) = 0.65066

P(x>13) = 1 - P(x<13) = 0.34934

The proportion of babies weigh more than 13 pounds is 0.3493

(b) What proportion of babies weigh less than 14 pounds?

z = (x-μ)/σ

= 14 - 11.8/3.1

= 0.70968

Probability value from Z-Table:

P(x<14) = 0.76105

The proportion of babies weigh less than 14 pounds is 0.7611

(c) What proportion of babies weigh between 11 and 15.8 pounds?

For x = 11

z = (x-μ)/σ

= 11 - 11.8/3.1

= -0.25806

Probability value from Z-Table:

P(x = 11) = 0.39818

For x = 15.8

z = (x-μ)/σ

= 15.8 - 11.8/3.1

= 1.29032

Probability value from Z-Table:

P(x = 15.8) = 0.90153

The proportion of babies weigh between 11 and 15.8 pounds

P(x = 15.8) - P(x = 11)

= 0.90153 - 0.39818

= 0.50335

≈ 4 decimal places = 0.5034

(d) Is it unusual for a baby to weigh more than 18 pounds?

z = (x-μ)/σ

= 18 - 11.8/3.1

= 2

Probability value from Z-Table:

P(x≤ 18) = P(x = 18) =

0.97725

No it is not unusual to have a Weight of 18 pounds

Round the answers to four decimal places.

(a) The proportion of babies weigh more than 13 pounds is 0.3493.

(b) The proportion of babies weigh less than 14 pounds is 0.7611.

(c) The proportion of babies weigh between 11 and 15.8 pounds is 0.5034.

(d) No, it is not unusual.

"To understand the calculation, check below."

Probability

Formula:

z = (x-μ)/σ,

x is the raw score.

μ is the population mean.

σ is the population standard deviation.

Mean = 11.8 pounds

Standard deviation =3.1 pounds.

Part (a) :

The proportion of babies weigh more than 13 pounds is :

z = (x-μ)/σ

z = 13 - 11.8/3.1

z = 0.3871

Probability value from Z-Table:

P(x<13) = 0.65066

P(x>13) = 1 - P(x<13) = 0.34934

The proportion of babies weigh more than 13 pounds is 0.3493

Part (b):

The proportion of babies weigh less than 14 pounds is :

z = (x-μ)/σ

z= 14 - 11.8/3.1

z= 0.70968

Probability value from Z-Table:

P(x<14) = 0.76105

The proportion of babies weigh less than 14 pounds is 0.7611.

Part (c):

The proportion of babies weigh between 11 and 15.8 pounds is :

For x = 11

z = (x-μ)/σ

z= 11 - 11.8/3.1

z= -0.25806

Probability value from Z-Table:

P(x = 11) = 0.39818

For x = 15.8

z = (x-μ)/σ

z= 15.8 - 11.8/3.1

z= 1.29032

Probability value from Z-Table:

P(x = 15.8) = 0.90153

The proportion of babies weigh between 11 and 15.8 pounds:

P(x = 15.8) - P(x = 11)

= 0.90153 - 0.39818

= 0.50335

≈ 4 decimal places = 0.5034

Part (d) :

Is it unusual for a baby to weigh more than 18 pounds :

z = (x-μ)/σ

z = 18 - 11.8/3.1

z = 2

Probability value from Z-Table:

P(x≤ 18) = P(x = 18) =0.97725

No, it is not unusual to have a Weight of 18 pounds.

Learn more about "Mean weight":

https://brainly.com/question/14275983?referrer=searchResults

483 calories and serves 3.5 people . How many calories in each serving?

Answers

Answer:

138

Step-by-step explanation:

483/3.5=138

Answer:

The answer is 138, simple math If you know what your doing :)

Step-by-step explanation:

483/3.5=138

Write 3 < x < 9 in interval notation.

Answers

Answer:

(3, 9)

Step-by-step explanation:

If we have ≤ or ≥, we use brackets to signify it includes the values.

If we have < or >, we use parenthesis to signify it doesn't include the values.

A local bakery sells 18 bagels for $12.99. How many bagels can be purchased for $20? Round down to the nearest whole bagel.

Answers

You can buy 5 more bagels because if you divide 18 by $12.99 you get 1.385, which would be the price of each bagel. Then you will have about $7.01 left. Now divide $7.01 by 1.385 and it will give you 5.06 bagels. Therefore 18 bagels plus 5 bagels is 23 bagels and so you can buy 23 bagels in total.

A group of students held a fundraiser last year and raised $950 for charity. This year, they raised $1,045.
What is the percent change in the amount the group raised?
bo

Answers

% change = (new value - old value)/old valu x 100 = (1,045 - 950)/950 x 100 = 95/950 x 100 = 0.1 x 100 = 10%

Answer:

10% (if this is helpful please brainlist!!!)

Step-by-step explanation/proof:

9 1/8 divided by 2/3

Answers

Answer:

219/16

Step-by-step explanation:

pls help fast pls pls

Answers

Answer:

x = 10-3

When x + 3 = 10 is simplified x = 7 AND x = 10-3 also equals 7 (x = 7)

the answer is : x = 10 - 3

because it’s the same as x + 3 = 10

10-3 = 7

replace 7 with x

7+3 =10

10-3=7

What is the value of X+1/9=1/3

Answers

Answer:

x = 2/9

Step-by-step explanation:

x + 1/9 = 1/3

Subtract 1/9 from each side

x + 1/9 -1/9 = 1/3 - 1/9

Get a common denominator

x = 1/3 *3/3 - 1/9

x = 3/9 -1/9

x = 2/9

x=1/3-1/9
x=3/9-1/9
x=2/9=0.222

706.5 - 549.5 divided by 6 | SIMPLIFIEDDD giving 5O POINTS mark BRAINLIEST

Answers

Answer: 2.166 repeating

More info

Subtract 706.5 - 549.5

That equals 157.

Divide 157 by 6

You get 2.1666666667, or 2.166 repeating

it would be 614.916666 with the 6 going on forever because you know PEMDAS

A researcher is exploring the notion that there is an economy of scale in raising children. While having one child might add to a family's financial stress, the second or third one might not be as "expensive" since they would already be sharing one roof, could share clothing, etc. The researcher has access to a large community of parents where 15% have one child under 18 in their home, 65% of parents have two children, and 20% of parents have three or more children. Rounded to the nearest whole number, the probability that any given family who is selected has two or more children at home is ________ %?

Answers

Answer:

The probability is   [tex]G  =  85% [/tex]

Step-by-step explanation:

From the question we are told that

   The percentage of parents that have one child under 18 in their homes is  k = 15%

  The percentage of parents that have two children is  T = 65%

    The percentage of parents that have three or more children is  Y = 20%

Generally the probability that any given family who is selected have two or more children at home is mathematically evaluated as

     [tex]G  =  T  +  Y[/tex]

=>  [tex]G  =  65% +  20% [/tex]

=>  [tex]G  =  85% [/tex]

0.00062 as a scientific notation

Answers

Answer:

6.2 x 10^-4

Step-by-step explanation:

Since it is a decimal you would move the decimal point to the right. Making the exponent a negative number.

Find the Domain and Range for the graph.

Answers

Answer:

options ?

Step-by-step explanation:

Okay so domain is x’s and range is y’s.

Domain is 4(The <= is the one with the line underneath, which represents less than or equal to).

Range is -3<=y<=5

Hope this helps!

8.546 rounded to the nearest tenths?

Answers

Answer:

8.550

Step-by-step explanation:

PLEASEE HELP GIVING OUT BRAINLIEST

Answers

Answer:

0 < x + 7 < 5 = [-7,-2)

Step-by-step explanation:

Move all terms not containing x from the center section of the inequality.

7 < x < -2

convert the inequality to interval notation

[-7,-2)

Hope this helps.

A study took a random sample often married couples, and asked the husband's and wife's age. The scatterplot shows the association between the ages of the husbands and wives. Not surprisingly, older husbands tend to have older wives, so the data has a positive linear association. A researcher finds that the least squares regression equation for this relationship is ŷ= 0.89 x + 2.62.
Suppose you interview a married man who has lived to the ripe old age of 100, and still married to his wife. using the least squares regression equation, predict his wife's age.

A. 100
B. 89
C. 91.62
D. 86.38​

—my answer is option (c.) 91.62
Any reviews would be much appreciated...

Answers

I agree I personally think it’s C too! :)
I agree :)! The correct answer is C, 91.62. Well.. I think. lol.

devisibility rules for 3, 6, and 9

Answers

Answer:

Divisibility rule for 3 -

If the sum of all the digits divisible by 3 then the number is divisible by 3.

Here, we take an example for better understanding -

Example 1 - 3525

Add up the digits - 3 + 5 + 2 + 5

→ 15

As, 15 is divisible by 3. So, 3525 is a factor of 3.

Divisibility rule for 6 -

A number is to be divisible by 6 , if the number is also divisible by 2 and 3.

Example 2 - 132

Add up the digits = 1 + 3 + 2 = 6

As, 6 is divisible by 2 and it's also divisible by 3. Then, 132 is a factor of 6.

Divisibility rule for 9 -

If the sum of all the digits is divisible by 9 then the number is divisible by 9. Just like we'd in 3.

Example 3 - 1052

Add up the digits - 10 + 5 + 2 = 17

As, 17 is not divisible by 9. So, 1052 is also not divisible by 9.

The temperature this morning is 52°F the temperature rose 15° and drop 20° by midnight time what is the temperature by night

Answers

Answer:

47

Step-by-step explanation:

you should add 15 to 52 and then subtract 20 from 67 which you got from 52 plus 15

1.32/0.12 with working please

Answers

Answer:

11

Step-by-step explanation:

There is no working you literally just divide

Answer:

11

Step-by-step explanation:


a square as an area of 144m 2 squared what is the length of each side

Answers

Answer:

12

Step-by-step explanation:

To find the area of a square, you have to square a side length. Squaring a number is the same as multiplying a number by itself.

12 x 12 = 144

The difference between the areas of the figures is less than 4.

An absolute value inequality that represents this situation is ___

The solution of the inequality is ___

Thank you!

Answers

The first is 4
The second one is
4=x-4
-x=-4-4
X=8

Please HELP ASAP!! Fill in the blank:

If two angles of one triangle are equal in measure to two angles of another triangle then the remaining two angles _________

Answers

Answer:

are equal to each other by Triangle Sum Theorem.

Step-by-step explanation:

Answer:

are equal to each other.

Step-by-step explanation:

This happens because the inside angles of a triangle always add up to 180º no matter what type of triangle it is. So if two triangles have two equal measurements then the third will also be equal. This is according to the Triangle Sum Theorem.

Super easy math question pls help

Answers

Answer:

Thanks

Step-by-step explanation

6(9)+6(7)

also, 18(3)+14(3)

Will give brainlist plz help its for my 9 week exam
Without looking, Tammy takes a marble out of a bag that contains 10 red marbles, 15 green marbles, and 25 blue marbles. Tammy records the color of the marble and returns it to the bag. If Tammy repeats this process 360 times, how many times can she expect to pull out a red marble?

A. 72
B. 36
C. 20
D. 10

Answers

Answer: A. 72
Explanation: 15 + 25 + 10 = Total of marbles = 50
10/50 10 Marbles out of 50 total marbles
10/50 = ?/360
360 / 50 = 7.2
7.2*10= 72
72/360 so yeah it’s 72

How many grams in one dose of medicine?

Answers

Answer:

65

Step-by-step explanation:

GIVING 25 POINTS PLEASE ANSWER


Fix the error in the algebraic expression to the translation below.

One less than twice a number translates to x² - 1

Answers

Answer:

2x - 1

Step-by-step explanation:

Determine the effective annual yield for each investment.
Then select the better investment. Assume 360 days in a year.
A. 9% compounded monthly
B. 9.25% compounded annually

Answers

I think it’s B but don’t at me

Pamela's age is three times Jiri's age. The sum of their ages is 84. What is Jiri's age?​

Answers

Answer:

21

Step-by-step explanation:

21*3 = 63 (add jiri's age)

63+21= 84

Hope this helps!

Write the following number in standard form.
eight hundred twenty-six and four hundredths
8,264
826.4
826.004
826.04

Answers

Answer:

D

Step-by-step explanation:

hope this helps :3

Answer:

hundreds

Step-by-step explanation:

Remember the place values:

thousands 8

hundreds 2

tens 1

ones 6

.

tenths 4

The 2 is in the hundreds place.

According to a​ magazine, ​% of the​ world's solar energy cells are manufactured in one country. Consider a random sample of five solar energy cells and let x represent the number in the sample that are manufactured in that country. The formula below gives the probability distribution for​ x, where . Complete parts a through d. ​p(x) a. Explain why x is a discrete random variable. A. The event x is a discrete random variable because the values of the random variable are countable and each possible outcome is equally likely. B. The event x is a discrete random variable b

Answers

Answer:

The event x is a discrete random variable because the values of the random variable are countable and each possible outcome is equally likely

Step-by-step explanation:

A) Explaining why x is a discrete random variable

 The event x is a discrete random variable because the values of the random variable are countable and each possible outcome is equally likely. A discrete random variable is variable that contains a countable number of values contained in it and each value stands an equal chance i.e The probability of each value/outcome is between 0 and 1

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