Maria plans to use fencing to build an enclosure or enclosures for her two horses. A single enclosure would be square shaped and require an area of 2,025 ft2. Two individual adjacent enclosures would be rectangular, with dimensions 20 ft by 40 ft with a 40 ft divider between the two enclosures. A square and a rectangle are shown. The square has an area of 2,025 feet squared. The rectangle is comprised of 2 rectangles that are 20 by 40 feet long. Which statement explains the design Maria should choose to minimize her costs

Answers

Answer 1

Answer:

A. The singular enclosure would minimize cost because it requires 180 feet of fencing.

Step-by-step explanation:

Given

Single enclosure

[tex]Area = 2025ft^2[/tex] --- of square

Two adjacent enclosures

[tex]Dimension= 20ft\ by\ 40ft[/tex] ---- both rectangles

[tex]Divider = 40ft[/tex]

Required

Determine the true statement to minimize cost

Start by calculating the perimeter of the single enclosure.

Let

[tex]l \to[/tex] length of the enclosure (square shape)

So:

[tex]Area = l^2[/tex]

[tex]2025 = l^2[/tex]

Rewrite as:

[tex]l^2 = 2025[/tex]

Take square roots

[tex]l = 45[/tex]

The perimeter (P) is then calculated as:

[tex]P = 4l[/tex]

[tex]P = 4 * 45[/tex]

[tex]P_1 = 180ft[/tex]

Next, the perimeter of the two enclosures.

Let

[tex]l \to[/tex] length of the enclosure

[tex]w \to[/tex] width of the enclosure

[tex]l = 20[/tex]

[tex]w =40[/tex]

The perimeter of 1 enclosure is:

[tex]P = 2(l + w)[/tex]

[tex]P = 2(20 + 40)[/tex]

[tex]P = 2*60[/tex]

[tex]P = 120[/tex]

For 2 enclosures

[tex]P_2 =2 * P[/tex]

[tex]P_2 =2 * 120[/tex]

[tex]P_2 =240[/tex]

Remove the length of the divider

[tex]P_2 = 240 - 40[/tex]

[tex]P_2 = 200ft[/tex]

By comparison;

[tex]P_1 < P_2[/tex]

i.e.

[tex]180ft < 200ft[/tex]

Hence, the singular enclosure will minimize costs

Answer 2

Answer:

A

Step-by-step explanation:

Maria Plans To Use Fencing To Build An Enclosure Or Enclosures For Her Two Horses. A Single Enclosure

Related Questions

Name the polygon. Write whether it is regular
or not regular.

Answers

Answer:

since the polygon has eight sides, it's an octagon and no, it's not regular since length of all sides of a regular polygon must be equal but in that octagon, not all sides are equal.

Please help!!
Which word best describes the degree of overlap between the two data sets?

low

moderate

none

high

Answers

Answer:

High

Step-by-step explanation:

Lets look at the chart, and see how similar each value is:

At 11, there is:

Both have 1 point. THis is similar

At 12:

Both have 1 point. This is similar

At 13:

One has 1 point, the other has 2 points. This is not similar

Next we have 14:

Both have 2 points. This is similar

15:

Both have 4 points. THis is similar

16:

Both have 3 points. This is similar

17:

One has 2 points the other has 1 point. This is not similar

So,  5 out of the 7 poitns are similar

And remember, the two points that are not similar are only off by 1.

So I would conclude that they are highly similar.

Hope this helps!

5) A bag contains eight red
marbles and six blue
marbles. You randomly pick
a marble and return it to the
bag before picking another
marble. What is the
probabilty that the first
marble you picked was blue
and the second marble was
red? Record your answer as
a decimal to the
thousandths place (three
places past the decimal).

Answers

Answer:

P(B,R) = 24.490%

Step-by-step explanation:

P(B,R) = 6/14 x 8/14 which can be simplified to become 12/49 or 24.490%

A hiker has 2 pairs of hiking shoes, 3 shirts, and 5 pairs of shorts to choose from. How does the number of combinations of shoes, shirts, and shorts change as the
hiker adds a new pair of shorts to his collection? Explain.
If the hiker adds
new pair of shorts to his collection, the new number of combinations is
which is
than
The original number of combinations is
the original number of combinations.
(Type whole numbers.)

Answers

Answer: 12

Step-by-step explanation:

There are 12 different combinations

If you base it off of the 2 pairs of shoes, each one goes over each shirt twice, and each pair of shorts will go over once

Pls help will mark brainliest

Answers

So the one on the bottom is the answer plz mark on us as brainliest

divide 6x3 ÷3x how to do please tell me​

Answers

Answer:

hey your answer would be   3x • (2x2 - 1)

please tell me if im wrong

Step-by-step explanation:

How do I solve these problems?

Answers

You can go over to solve tab and just take a picture of the question it’s pretty easy so it will give you a choice of people to choose from go from the ones that have the highest rating

1 4/7 as an improper fraction.

Answers

your answer would be

11/7

The mix fraction as an improper fraction is 11/7.

We have,

Mix fraction:

1(4/7)

This can be simplified as an improper fraction:

= {(7 x 1) + 4} / 7

= (7+ 4) / 7

= 11/7

Thus,

The mix fraction as an improper fraction is 11/7.

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I need help with all odd numbers please

Answers

Answer:

5. a = 4

7. x = -8

9. x = -1

11. p = 1.1

13. x = -1

15. x = -4

Step-by-step explanation:

2.9a = 11.6

2.9a/2.9 = 11.6/2.9

a = 4

-3.7x = 29.6

-3.7x/-3.7 = 29.6/-3.7

x = -8

(x-5)(-3) = 18

(x-5)(-3)/-3 = 18/-3

x-5 = -6

x-5+5 = -6+5

x = -1

3.6 = -2p+5.8

3.6-5.8 = -2p+5.8-5.8

-2.2 = -2p

-2.2/-2 = -2p/-2

1.1 = p

2x+6 = -4x

2x+6-6 = -4x-6

2x = -4x-6

2x+4x = -4x-6+4x

6x = -6

6x/6 = -6/6

x = -1

21-6x = -11-14x

21-6x-21 = -11-14x-21

-6x = -14x-32

-6x+14x = -14x-32+14x

8x = -32

8x/8 = -32/8

x = -4

Answer:

5.) a= 4

7.) x= -8

9.)x= -1

11.) p= 1.1

13.) x= -1

15.) x= -4

Step-by-step explanation:

5.) divide 11.6 by 2.9a

7.)divide 29.6 by -3.7u

9.) Divide by sides by -3. simplify. Add 5 to both sides. then simplify again x= -1

11.) subtract 5.8 from 3.6 . you're left with -2p=-2.2 divide both sides by -2. you get p=1.1

13.)Subtract 6 from both sides. You get 2x= -4x-6. Add 4x to both sides. then divide -6 by 6 you get x=-1

15.) Simplify both sides of the equation, so add 14x to -6x +21 side, you get 8x= -32 then divide -32 by 8x you get -4

In Earth’s atmosphere, the speed of sound can be approximated using partial variation. The speed of sound is approximately 331 m/s at 0°C and approximately 343 m/s at 20°C.
Jenny yells out “Hello” in a canyon when the air
temperature is 10°C. It takes 1.4 s to hear her
echo. How far away is the wall of the canyon?

Answers

Given the info, we can do 343-331=12 and 20-0=20. Then divide both by 2 to get a ratio of 6:10. This indicates that if temperature is 10, speed will be 6 m/s. I order to get the distance, multiply 6 m/s by 1.4 s, the unit s (second) cancels out and the answer is 8.4 m.

What is the vertex of the function f(x) = x2 + 12x?
O (-6, -36)
O (-6,0)
O (60)
O (6,-36)

Answers

Answer:

es la tercera amiga yo pienso

The vertex of the function f(x) = x² + 12x is,

⇒ Vertex = (- 6, - 36)

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ f (x) = x² + 12x

Now, We can change the function into the form,

f (x) = (x - h)² + k

Where, (h, k) is vertex.

Here, The function is,

⇒ f (x) = x² + 12x

⇒ f (x) = x² + 12x + 36 - 36

⇒ f (x) = (x + 6)² - 36

⇒ f (x) = (x - (- 6))² + (- 36)

Hence, By comparing,

Vertex = (h, k) = (- 6, - 36)

Thus, The vertex of the function f(x) = x² + 12x is,

Vertex = (- 6, - 36)

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State the x- and y-intercepts of each equation
y= -2x + 7

Answers

Answer:

x-intercept(s):   ( 7/ 2 , 0 )

y-intercept(s):   ( 0 , 7 )

Step-by-step explanation:

Answer:

y = 7, x = 7/2

Step-by-step explanation:

y - intercept = 7

x - intercept = 7/2

HELP PLEASE READ THE IMAGE WILL GIVE BRIEANLIEANSTEINERER
Question 4 options:

5


7


3


6

Answers

Answer:

3

Step-by-step explanation:

because 12/4 = 3

now divide 9 by 3 so you get 9/3 = 3

Answer 1 pointss. Brainly back

Answers

Answer:

5

Step-by-step explanation:

I believe that this is correct because 220 is divisible by 5, which means it has completed the pattern 44 times (220 divided by 5 is 44). So 221 means that it has completed it 44 times, and then starts it one more time with only the first number.

Abby sold half of her comic books and then bought seventeen more. She now has 32. With how many did she begin?

Answers

Answer:

15 because 32 - 17 = 15

Step-by-step explanation:

Help me with this please!!!!!

Answers

Answer:

d = √(x2 - x2)^2 + (y2 - y1)^2 + (z2 - z1)^2

P1(0, 0, 0) P2(-9, 6, -4)

Substitute the values in the above equation and you will get

d = √(-9)^2 + (6)^2 + (-4)^2

= √(81 + 36 + 16)

= √133

= 11.53

Answer:

The answer is 11.53

What is the value of x in the triangle?

Answers

Answer:

a. 10√2

Step-by-step explanation:

hey, just use Pythagoras theorem

h²=p²+b²=10²+10²=100+100=200

h²=200, h= √200 =√(100×2)=√100×√2=10√2

Answer this so i can get a good math grade

Answers

Answer:

64 degrees is the answer

hope it helped
Answer: According to the math, I’m pretty sure it’s 64! I hope you get your good math grade :)

A new test is developed to test for organic matter in soil samples, giving "positive" or "negative" results to indicate that a sample does or does not contain organic matter.

For a soil sample that contains organic matter, the test will give a positive result 95% of the time and a negative result (false negative) 5% of the time. For a soil sample that does not contain organic matter, the test will give a positive result (false positive) 20% of the time and a negative result 80% of the time.

A study included a population of 1,000 soil samples, and 70% of those studied where known to contain organic matter.

Fill in the missing values in the table and statement below. If necessary, round the percentage to one decimal place.


Number of
Samples Positive
Result Negative
Result
Contains
Organic Matter 700 665
Does Not Contain
Organic Matter 300
240

If a soil sample test gives a positive result, it is
% likely that the soil sample contains organic matter.

Answers

Answer:

35

60

91%

Step-by-step explanation:

If a soil sample test gives a positive result, it is **91.7%** likely that the soil sample contains organic matter.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

Positive results= 95%

Negative results= 5%

Now,

Positive result = 700 * 0.95 = 665

Negative result = 700 * 0.05 = 35

Similarly, for the soil samples that do not contain organic matter, we know that 20% of them will give a positive result and 80% will give a negative result. So, we can multiply 300 by 0.2 and 0.8 to get:

Positive result = 300 * 0.2 = 60

Negative result = 300 * 0.8 = 240

To fill in the missing value in the statement, we can use Bayes' theorem, which states that:

P(A|B) = P(B|A) * P(A) / P(B)

So, we have:

P(contains organic matter | positive result) = P(positive result | contains organic matter) * P(contains organic matter) / P(positive result)

P(positive result) = P(positive result | contains organic matter) * P(contains organic matter) + P(positive result | does not contain organic matter) * P(does not contain organic matter)

P(positive result) = 0.95 * 0.7 + 0.2 * 0.3

P(positive result) = 0.665 + 0.06

P(positive result) = 0.725

Plugging these values into Bayes' theorem, we get:

P(contains organic matter | positive result) = (0.95 * 0.7) / (0.725)

P(contains organic matter | positive result) = (0.665) / (0.725)

P(contains organic matter | positive result) = 0.9172

Therefore, by probability the answer will be 91.7%

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pls help me i dont know the awnser

Answers

Answer:

13/12

Step-by-step explanation:

make into inproper fraction then cross multiply then reduce to lowest terms. hope this helps

Answer:

Length of each stump is 2.167 feet

Step-by-step explanation:

8 2/3 divided by 4 is 2.166667

2.166667 simplified is 2.167

You randomly draw a marble from a bag, record is color, and then replace it. You draw a blue marble 11 out of 50 times. What is the experimental probability that the nes marble will be blue? Write your answer as a fraction, de mal, or percent. The experimental probabilty that the next marble will be blue is​

Answers

Answer:  11/50

Explanation:

This may seem like a trick question, but it's not. Your teacher simply wants to know how many times you got blue out of the number of times total. The numerator is the number of blue. The denominator is the number of total tries.  The fraction 11/50 cannot be reduced because 11 and 50 share no common factors other than 1.

Notes:

11/50 = 0.22 = 22%The answer above applies to experimental probability only. The theoretical probability is likely different. We don't have enough info to compute the theoretical probability.

Laurie is trying to stay within 10 feet of her current diving depth of -30 feet (with regard to sea level) so that the light is still good but she can be close to the sea life during her scuba dive Which two equations can be used to find the minimum and maximum depths Laurie wants to stay between?

Answers

Answer:

It should be the first one

Step-by-step explanation:

since positive ten would represent going further up and negative ten going further down, the diver would be within ten feet of her current position

Answer:

A) -30 - x = 10 and -30 - x = –10

Step-by-step explanation:

Part 1:

1) Isolate the variable x

-30 - x = 10

-x = 40

2) Multiply both sides by -1

x = -40

Therefore -30 - x = 10 is correct

Part 2:

1) Isolate the variable x

-30 - x = –10

-x = 20

2) Multiply both sides by -1

x = -20

Therefore -30 - x = –10 is also correct

Final Answer: -30 - x = 10 and -30 - x = –10

Find 789.81−474.928 . Express your answer in decimal form.

Answers

Answer:

314.882

Step-by-step explanation:

789.81 − 474.928 = 314.882

Mark as Brainliest

Hello! I really need some help on this.

Answers

Answer:

The area is 51 units squared.

Step-by-step explanation:

Since you are finding the area of a triangle, you first start with 12 x 8.5 = 102.

Then, you divide 102 in half, since the shape is a triangle. So, 102 ÷ 2 = 51.

So the answer is 51 units squared.

Hope this helps!

A company analyzed how inventory was affected during the first five hours after a commercial aired for its product. The relationship is shown on the graph below.



What happens to inventory as each hour passes?
A.
The inventory decreases by 20 units.

B.
The inventory decreases by 10 units.

C.
The inventory decreases by 5 units.

D.
The inventory decreases by 1 unit.

Answers

I think the answer is B

AB is tangent to circle O if AO = 30 and bc = 48 what is AB

Answers

Answer: 72

Step-by-step explanation:

30+48=78

√78^2-30^2=

√5184=

72

If AO = 30, BC = 48 then, AB = 72.

What is tangent?

"Tangent to a circle is the line that touches the circle at only one point."

"A tangent to a circle is always perpendicular to the radius of a circle."

For given question,

AB is tangent to circle.

Also, AO = 30, BC = 48

From figure, we can observe that,

AO = CO                            .......................(radius of circle)

⇒OC = 48

Also,

OB = OC + BC

⇒ OB = 30 + 48

⇒ OB = 78

We know, a tangent to a circle is always perpendicular to the radius of a circle.

⇒ AB ⊥ AO

This means, ΔAOB is right triangle.

Using Pythagoras theorem to right triangle AOB,

⇒ [tex](OB)^{2} = (AO)^{2} + (AB)^{2}[/tex]

⇒ [tex](AB)^2 = (OB)^{2} - (AO)^{2}[/tex]

⇒ [tex](AB)^2=(78)^2-(30)^2[/tex]

⇒ [tex](AB)^2=5184[/tex]

⇒ [tex]AB=\sqrt{5184}[/tex]

⇒ [tex]\bold{AB=72}[/tex]

Therefore, option (D) is the correct answer.

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-4,-21,-38 common difference

Answers

the common difference is 17

solve : 30z + 20 = 480
with steps

Answers

30z+20=480
-20 -20
30z=460
30z/30=460/30
z=15.3333333 or rounded z=15.3

Please help I struggle with this

Answers

Answer:

1390

Step-by-step explanation:

The triangles are 8*15* 2 and that equals 240. now you have 3 rectangles so solve so 23*17 is one another is 17*23 and the last one is 16*23 and that all equals 1150. so now you add 240 and 1150= 1390

9. please please help me out ill mark you brainlist

Answers

Answer:

C. The scale factor is less than one.

Step-by-step explanation:

By definition, similar triangles have equal angles and proportional corresponding side lengths. Thus, A, B, and D are all mutually exclusive, leaving C the only possible answer. Upon further inspection, the scale factor is indeed greater than one (each side length is scaled by a factor of two, which is large than one)

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