Luis has 60 m of fencing to build a four-sided fence around a rectangular plot of land. The area of the land is 216 square meters. Solve for the dimensions (length and width) of the field. The dimensions are __ meters by __ meters .

Answers

Answer 1

The dimensions are 12 meter by 18 meter .

what is perimeter of rectangle ?

perimeter of rectangle = 2(length + width)

length and width of the  Luis plot by L and W, respectively.

We know that the perimeter, is 60 meters. So we can write:

2L + 2W = 60

Simplifying this equation, we can divide both sides by 2:

L + W = 30

now , area of the plot is 216 square meters:

L x W = 216

use substitution to solve for one of the variables. Let's solve for L in the first equation:

L = 30 - W

We can substitute this expression for L into the second equation:

(30 - W) x W = 216

[tex]W^2 - 30W + 216 = 0[/tex]

We can solve this quadratic equation using the quadratic formula:

W = [30 ± [tex]\sqrt{30^2 - 4 * 1 * 216}[/tex] / 2

Simplifying:

W = [30 ± 6] / 2

So  W = 18 or W = 12.

If W = 18, then L = 30 - 18 = 12.

If W = 12, then L = 30 - 12 = 18.

Therefore, the dimensions  are 18 meters by 12 meters or 12 meters by 18 meters.

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Answer:

4,500 millimeters per year.

Step-by-step explanation:

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Step-by-step explanation:

Mountain officials want to build a new ski lift from B to C, as shown in the figure below. The distance from A to C is 1540 feet. They measure angle DAC to be 38º and angle DBC to be 25º. What is the distance from A to B ? Round your answer to the nearest tenth of a foot.

Answers

Answer:

there is a 13 degree difference from DBC and DAC

 with that you divide 1540 by 13 as you get that 118.461 feet

that means that there is a 118.461 difference from B to C and A to B

so the answer is either 1658.461ft or 1421.539ft I am not sure if that is correct or not but best of luck mate  

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Answer:

24 cubic feet

Step-by-step explanation:

brainliest or 5 stars and heart or BOTH

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Answer:

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Find the distance between the two points rounding to the nearest tenth (if necessary). (1,−7) and (4,−5)

Answers

Answer:

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Step-by-step explanation:

distance formula [tex]\sqrt{(4-1)^{2} + (-5+7)^{2}[/tex]

Big chickens: A report from a poultry industry news Web site stated that the weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1376 grams and standard deviation 183 grams. Use the TI-84 PLUS calculator and round your answers to at least two decimal places. (a) Find the 24th percentile of the weights. (b) Find the 86th percentile of the weights. (c) Find the second quartile of the weights. (d) A chicken farmer wants to provide a money-back guarantee that his broilers will weigh at least a certain amount. What weight should he guarantee so that he will have to give his customers' money back only 1% of the time

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Answer:

i think its b

Step-by-step explanation:

Is 53 or 63.38 correct pls help me

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Answer:

Okay so A will equal 45 degrees

Step-by-step explanation:

When you have a right triangle the other angle measures will be 45 degrees. The interior sum of all the angles will always be 180 degrees. The other angle will be 45 degrees as well

Please help, will mark Brainly and if you need help with anything I’ll help with any work you send

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Answer:

In the first one you are missing (a +7) so it's going to be 9(a +7) or when you factor that out it will be 9a 63

In the other one you are missing the (a +5) so it's going to be 7a(a + 5) or when you factor it out it will be 7a2 + 35a

Step-by-step explanation:

a2+ 9a + 20 = (a + 4) (a + 5)

a2 + 11a+ 28 = ( a + 7) ( a + 4 )

jorge is playing football. he carries the ball forward 52/3 yards and then moves backwards 1 foot . how far forward is the ball, in feet, from were jorge stared carring the ball.

Answers

Answer:

17 feet

Step-by-step explanation:

52/3= 17 1/3

1 foot is 1/3 of a yard

17 1/3- 1/3 = 17

At a bird sanctuary, the population of bluebirds is 120 and is increasing 4% annually. How many bluebirds will there be in 8 years?

Answers

The answer is: 158 birds

4% of 120 is 4.8 birds. So the population is increasing by 4.8 each year. 4.8 x 8 years = 38.4

120 + 38.4 = 158.4

Which two statements are true according to the law of supply? A decrease in demand leads to an increase in supply. A decrease in demand leads to a decrease in supply. There is no change in demand or supply. A decrease in price leads to a decrease in supply. An increase in price leads to an increase in supply.

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Answer:

b and c

Step-by-step explanation:

a decrease in demand leads to a decrease in supply. and if there is no change in demand or supply.

What is X in this equation?

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Answer:

B) 44

Step-by-step explanation:

x + 54 + 82 = 180

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Rebecca paid $25.80 to place an advertisement in a local newspaper. The total cost is determined by a
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52 words, you subtract 5.00 then divide 20.80 by 0.04 and get 52

In 42 of the 64 years from 1950 through 2014,the S& P 500 finished higher after the first five days of trading (in 2011 there was virtually no change). In 37 out of 42 years, the S&P 500 finished higher for the year. Is a good first week a good omen for the upcoming year? The following table gives the first-week and annual performance over this 64-year period.

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b) Given that the S&P finished lower after the first five days of trading,
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Answers

Answer:

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What is Theoretical Probability in your own words ?​

Answers

Answer:

Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes. The result is a ratio that can be expressed as a fraction (like 2/5), or a decimal.

Step-by-step explanation:

Myles has a room that is 300 m². If he wants to tile the room using 5 cm x 5 cm tiles, how many whole tiles will he have to use?

Answers

Answer:

Number of whole tiles need = 120,000 tiles

Step-by-step explanation:

Given:

Area of room = 300 m²

Dimension of each tile = 5cm x 5cm

Find:

Number of whole tiles need

Computation:

Dimension of tile in meter = 5 /100 = 0.05 m

Area of each tile = 0.05 x 0.05

Area of each tile = 0.0025 m²

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Jim takes out a mortgage for 30 years at an interest rate of 2.49% and his monthly repayments are $986.50. What is the principal loan amount? Round your answer to the nearest ten thousand dollars. Do NOT round until you have calculated the final answer.

Answers

Answer:

250000

Step-by-step explanation:

P=986.50(1-(1+.0249/12)^-(12)(30) Then divide the answer you get by (.0249/12)

Answer: 250,000

Step-by-step explanation:

We must apply the formula for P0, that is,

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Evaluate the expression: –5 + 280 + 62.

Answers

Answer:

the answer is 337

Step-by-step explanation:

-5 + 280 + 62

= 337

Answer:

337

Step-by-step explanation:

-5 plus 280 is 275

275 + 62 is...

337

if x = –2 ,then find the value of x³ –2x + 1​

Answers

Answer:

- 3

Step-by-step explanation:

Substitute x = - 2 into the expression , that is

(- 2)³ - 2(- 2) + 1

= - 8 + 4 + 1

= - 3

29. The table shows the average annual salary in dollars based on the minimum level of education required for two occupations. Based on the average annual salaries in the table, how much more would an accountant eam than a tax preparer over a 30 year career? Occupations Occupation Average Annual Salary (dollars) Level of Education Required Accountant 71,040 41,700 Bachelor's degree High school diploma Tax preparer A $112,740 B. $3,382,200 C. $880,200 D. $1,251,000​

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Answer:

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Step-by-step explanation:

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what is the volume of a cereal box that is 2 inches thick, 12 inches high and 10 inches wide?

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Answer:

240

Step-by-step explanation:

12 times 2 is 24

24 times 10 is 240

Have a nice day

Answer:

240 [tex]Inches^{3}[/tex]

Step-by-step explanation:

1. Find the measure of the side indicated (x). Round to the nearest tenth. Show your work to support your
answer

Answers

Answer:

Is this for a Trig class?  just wondering

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

we want to find the Hypotenuse (Hyp)  and are given an angle and the adjacent side (adj)  sooo use  CAH  , b/c it has all of the pieces

Cos(37) = Adj / Hyp

Cos(37) = 11 / Hyp

swap  Cos(37) and Hyp... an algebra trick you should know from college algebra or where ever you learned algebra

Hyp = 11 / Cos(37)

now solve with your handy TI 83 / 84 / 89   calculator :)  if you don't have one go get one . :D get the 89 if  you are going into engineering classes...  the 83 /84 if not. (obviously there are many many other good choices, i'm not really a calculator salesman on the side :D )

Hyp = 13.77349...

Hyp = 13.8 ( rounded to nearest 10th )  :)

Answer:

13.8

Step-by-step explanation:

cos37 = 11/x

0.79863551 = 11/x

x = 11/0.79863551 = 13.77 or 13.8

please answer asap NO SCAM LINKS.

Answers

ITS D !! since his parents give him 10 dollars every certain time amount, so that means the slope is 10

12. Li drinks 1 liter of water each day after soccer practice. How many
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F. 5,000 milliliters
H. 50 milliliters
G. 500 milliliters
L. 5 liters

Answers

Answer:

F. 5000militres

Step-by-step explanation:

1 litre= 1000ml

1 practice= 1000ml

therefore 5 practices= 5*1000ml

= 5000ml

If a dozen dozen candies cost a half-a-dozen dimes a dozen, how much will a half-a-dozen dozen candies cost?

Answers

Answer:

74

Step-by-step explanation:

The cost of half-a-dozeon dozen candies for this case will be $3.6

How much a dozen consists of ?

A dozen of a thing means 12 of such thing is in consideration. If we say we have a dozen pencils, then twe mean we have 12 pencils.

For this case, it is given that:

Cost of a dozen dozen candies = half a dozen dimes a dozenCost of a half a dozen dozen candies = ? (to find)

A dozen contains 12 quantities.

A dozen dozen candies means 12 times 12 = 144 candies

half a dozen dimes dozen cost = (12/2) × 12 dimes = 72 dimes

That means:

144 candies cost 72 dimes.

Dividing both quantities by 144 to get price of 1 candy:

144/144 = 1 candy's price = 72/144 dimes = 0.5 dimes = 0.05 dollars (1 dime = 0.1 dollars)

Half a dozen times dozen candies = 72 candies

1 candy costs 0.05 dollars

72 candies cost [tex]72 \times 0.05 = 3.6[/tex] dollars.

Thus, the cost of half-a-dozeon dozen candies for this case will be $3.6

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the measures of a triangle are in the ratio 2:3:5. what are the measures of the angles?
(give all 3 angle measurements pls)

Answers

9514 1404 393

Answer:

  36°, 54°, 90°

Step-by-step explanation:

We have to assume that the given measures are angle ratios, not side ratios. Sides in the ratios 2:3:5 will not form a triangle.

For some multiplier x, the angle values will total 180°.

  2x +3x +5x = 180

  x = 180/(2+3+5) = 18

Then the angle measures are ...

  2x° = 2·18° = 36°

  3x° = 3·18° = 54°

  5x° = 5·18° = 90°

The angle measures are 36°, 54°, and 90°.

Try to find this answer! Thank you!

Answers

418,200 - 326,700 = 91,500

which expression is equivalent to m-4/m+4 + (m+2) ?

A. m-4/(m+4)(m+2)
B. (m+4)(m+2)/m-4
C. m-4)(m+2)/m+4
D. m+4/(m-4)(m+2)

Answers

Answer:

C.

Step-by-step explanation:

......................

The expression that is equivalent to the expression (m - 4)/(m + 4) + (m + 2) is {m + m² + 6m + 4}/{m + 4}.

What is algebraic expression?

An expression in mathematics is a combination of terms both constant and variable. For example, we can write the expressions as -

2x + 3y + 5

2z + y

x + 3y

Given is to find the expression is equivalent to -

(m - 4)/(m + 4)  +  (m + 2)

We have the following expression as -

(m - 4)/(m + 4)  +  (m + 2)

{(m - 4) + (m + 2)(m + 4)}/(m + 4)

{(m - 4) + m² + 4m + 2m + 8}/(m + 4)

{m + m² + 6m + 4}/{m + 4}

Therefore, the expression that is equivalent to the expression (m - 4)/(m + 4) + (m + 2) is {m + m² + 6m + 4}/{m + 4}.

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