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

31. Suppose that y varies inversely with x and that y = 4 when x = 6. What is an equation for the
inverse variation?
(1 po
6
Oy=
4x
24
y= —
2
24

Answers

Answer:

y = [tex]\frac{24}{x}[/tex]

Step-by-step explanation:

Given that y varies inversely with x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition y = 4 when x = 6 , then

4 = [tex]\frac{k}{6}[/tex] ( multiply both sides by 6 )

24 = k

y = [tex]\frac{24}{x}[/tex] ← equation of variation

Rectangle A is similar to rectangle B. The ratio of the length of rectangle A to the length
of rectangle B is 2 : 5. The width of rectangle BIs 36 inches. What is the width of
rectangle A?
A 90 in.
B
17.6 in.
B
А
с
28.8 in.
D
14.4 in.

Answers

Answer:

D. 14.4

Step-by-step explanation:

In similar polygons, corresponding sides are proportional. We can write the proportion:

[tex]\frac{l-A}{l-B} =\frac{w-A}{w-B}[/tex]

l-A is the length of A, l-B is the length of B, w-A is the width of A, and w-B is the width of B. We are given the ratio of the lengths is 2:5, so we can substitute it in:

[tex]\frac{2}{5} =\frac{w-A}{36}[/tex]

We can cross multiply:

72 = 5w-A

w-A = 14.4

Are the two triangles in the image above similar? If so then what is the correct postulate: SSS, SAS, or AA or None

Answers

the triangles are similar because of SSS

Which statement best describes the relationship between the two variables? There is an association because the relative frequencies by column are similar. There is an association because the relative frequencies by row are similar. There is no association because the relative frequencies by column are similar. There is no association because the relative frequencies by row are similar.

Answers

Answer:

I think it is B if it is your welcome if not sorry its been a while since I learned about these.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Find the y=a(b)^x form for the exponential function passing through points (1,48) and (3,12)

Answers

Answer:

y = 96 * (1/2)ˣ   or

y = (-96)*(-1/2)ˣ

Step-by-step explanation:

y=a(b)ˣ

pass (1 , 48):  48 = a * b¹        ab = 48   ...(1)

pass (3 , 12):   12 = a * b³       ab³ = 12   ...(2)

(2)/(1):   ab³/ab = b² = 12/48 = 1/4

b = 1/2 or b = - 1/2

a = 96  or a = -96

The coordinates of the vertices of parallelogram QRST are glven. What would be the coordinates of
the vertices after a dllation with a scale factor of 1/3 centered at the origin?
Q(-6,9)
R(6,9)
S(0, -9)
T(-12, -9)

Answers

Answer: -2,3. 2,3 3,-3 -4 -3

Step-by-step explanation:

Sid has a bag with 10 pink thimbles and 20 silver thimbles. If he draws a thimble from the bag without looking, what is the probability that will be a pink thimble?

Answers

Answer:

50%

Step-by-step explanation:

10/20

1/2

50%

Find a point 1/5 of the way between points A (-6,-4) and B (-1,6).

Answers

9514 1404 393

Answer:

  (-5, -2)

Step-by-step explanation:

That point P can be found from ...

  P = A + 1/5(B -A)

  P = (4/5)A +(1/5)B = (4A +B)/5

  P = (4(-6, -4) +(-1, 6))/5 = (-24-1, -16+6)/5 = (-25, -10)/5

  P = (-5, -2)

Answer:

the answer is (-5,-2)

Step-by-step explanation:

:))

PLEASE HELP!!!
A weather forecaster predicts that there is a 50% chance of rain on Saturday and a 40% chance of rain on Sunday. If these probabilities are correct, what is the probability that it will rain on both days?

Answers

The answer would be 20%

-2/5 + 1 1/3 find the sum

Answers

Answer: =14/15

Step-by-step explanation: Hope this help :D, Can I have a Brainliest I really needed it please!

i will mark brainliest if correct

Answers

Answer:

a = 17.5 ft²

Step-by-step explanation:

break figure into a rectangle and a triangle

Rectangle:

a = 2 * 5 = 10

Triangle

a = (1/2)5 * 3

a = 7.5

Total area

a = 10 + 7.5

a = 17.5 ft²

answer:
17.5 ft^2

step-by-step explanation:
break the figure into 2 shapes
to find the area of the rectangle
L • W = A
2 • 5 = 10
to find the area of the triangle
hbb/2 = A
3b5/2 = A
7.5 = A
10 + 7.5
17.5

Please help me with this!!

Answers

Answer:

Step-by-step explanation:

these triangles are not similar,  you can tell, b/c the one given angle and that they are both right triangles, so you also know that the other angle , that is not given is not the same, in the two.   hence the sides are not the same lengths or ratios of each other.  they are NA

help me asap please I will mark brainliest and give extra points

Answers

Answer:

3/32

Step-by-step explanation:

prob greater than 5

that would be 6,7 or 8

p = 3/8

prob purple

p = 1/4

Prob of both

p = 3/8 * 1/4

p = 3/32

There was a population of 160 bears in a National Park. After a year, the population increased by 15%.

How many bears are there in the park now?

Answers

Answer:

184

Step-by-step explanation:

Increased by 15%: there are 15%, or 0.15 more bears.

To solve, we need to add the number of bears last year, and the number of new bears in the park.

1 * 160 + 0.15 * 160 =

1.15 * 160 =

184 bears

What is the range for

Answers

Answer:

In statistics, the range of a set of data is the difference between the largest and smallest values.

Step-by-step explanation:

Easy as pie

When Camden runs the 400 meter dash, his finishing times are normally distributed with a mean of 65 seconds and a standard deviation of 1.5 seconds. Using the empirical rule, determine the interval of times that represents the middle 68% of his finishing times in the 400 meter race.

Answers

Answer:

63.5, 66.5

Step-by-step explanation:

Approximately 68% of Camden's finishing times fall within the interval from 63.5 seconds to 66.5 seconds.

What is the empirical rule?

The empirical rule states that for a normal distribution, approximately 68% of the data lies within one standard deviation of the mean, approximately 95% of the data lies within two standard deviations of the mean, and approximately 99.7% of the data lies within three standard deviations of the mean.

Since we want to find the interval that represents the middle 68% of Camden's finishing times, we need to find the range of times that are one standard deviation above and below the mean.

The mean of Camden's finishing times is 65 seconds, and the standard deviation is 1.5 seconds, so the interval that represents the middle 68% of his finishing times is:

[65 - 1.5, 65 + 1.5] = [63.5, 66.5] seconds

This means that approximately 68% of Camden's finishing times fall within the interval from 63.5 seconds to 66.5 seconds.

Learn more about the empirical rules here:

brainly.com/question/27914019

#SPJ2

Can help me with this?

Answers

Answer:I’m sorry this is hard I don’t think I have the right answer chose C

Step-by-step explanation:

A local government wants to test a theory about the amount of water consumed by elderly people compared to young people. If the government uses a stratified random sample, what is an appropriate method for grouping the population? A. Group by the number of houses in each street. B. Group by ZIP code. C. Group by the amount of water stored by each house. D. Group by the members in each family.

Answers

Answer:

group by each member in each family. I got a 100%

Step-by-step explanation:

Answer:

group by each member in each family.

Step-by-step explanation:

At Corner Deli, you can get 6 bagels for $6. How much does it cost per 1 bagel?
(Find the unit rate)

If you can, please explain.

Answers

Answer:

$1.00 per bagel

Step-by-step explanation:

To find the unit rate, you just have to divide the number of bagels by how much they cost.

In your problem, the number of bagels is 6 and the price is also 6.

Now all you have to do is divide 6 by 6 and the answer to that is 1.

Example: 6 ÷ 6 = 1

I dont know what to ask im just posting this question so the questions I asked are equal to how much friends I have :-:

Answers

Wassup. I'm back from the dead. Satan revived me.

CALL ME BY YOUR NAAAAAAAAAAAAAAAME

The perimeter of a right triangle is 40 feet. and the area is 120 square feet. If the lengths of the sides of the triangle are each multiplied by 12, what is the perimeter of the new right triangle?

A) 8640
B) 5760
C) 720
D) 480

Answers

Answer:

D

Step-by-step explanation:

did it on Time4learning

Find the volume of this object.
3
5cm
114cm
HELP ME
PLEASE IM DESPERATE
V = [?]cm3
6cm

Answers

Answer:

Half of 6 is 3(new radius)

3^3 = 9

9 x 3.14 = 28.26(area of circle)

Now we multiply by height

28.26 x 5 = 141.3

Now we divide by 3 since its part for the formula of finding the cone's volume:

141.3 x 1/3(basically just dividing by 3) = 47.1

Now let's find the volume of the cylinder:

3^3 = 9, 9 x 3.14 = 28.26

28.26 x 14 = 395.64

Now let's add the given volumes:

395.64  + 47.1 = 442.74 cm^3 is your answer.

Evaluate each of the following (only whole numbers or fractions
as answers):
a) 62
b) 4-3
c) (2xyz)º
d) (-1000)

Answers


I think it’s D
.........

can someone help!???!??!? asap

Answers

Answer:

C) The number of pens must be multiplied by 1.25 to find the cost.

Step-by-step explanation:

hope this helps and is right. p.s i really need brainliest :)

Answer: The answer is C

This is because the other solutions do not match the table. When you multiply 1.25 by 3 you get  $3.75.

If you think this answer was satisfactory I would ask that you mark it brainiest.

1.11 x 10^-5 standard form

Answers

Answer:

.0000111

Step-by-step explanation:

move the decimal five places to the left because the 5 is negative

help lolololololol um

Answers

Answer:

The correct answer is B. m = 1.1

Step-by-step explanation:

Every time x is increases by 1, y increases by 1.1.

Answer:

m = 1.1

Step-by-step explanation:

The function equation is y = 1.1x because every increase in x produces an additional output of 1.1, therefore the slope equals 1.1.

324.5 as scientific notation;

step by step explanation please

Answers

Answer:

3.456 x 10^11

Step-by-step explanation:

= 3.456 × 10¹¹

scientific notation

= 3.456e¹¹

scientific e notation

= 345.6 × 109

engineering notation

billion; prefix giga- (G)

= 3.456 × 10¹¹

standard form

= 345600000000

(real number)

Answer:   3.245 * 10^2

==============================================

Explanation:

Place the decimal point between the first two nonzero digits. So we'll place the decimal point between the 3 and 2 to get 3.245

Now ask yourself "how many spots to the right must I move the decimal point to get back to 324.5?" The answer is "2 spots to the right"

That "2" from "2 spots to the right" is the exponent over the 10.

So that's how we get to the answer 3.245 * 10^2

Using your calculator, you should find that 3.245 * 10^2 = 324.5

--------------

Side note: if the exponent over the 10 is negative, then the decimal point will move left that number of spaces.

For example, 3.2 * 10^(-2) = 0.032 showing it has moved 2 spaces to the left.


HELP ASAP!

Show me how to find x using the correct equation shown here (geometry)

Answers

Answer:

x = 13

Step-by-step explanation:

The 2 angles same- side interior angles and sum to 180°

Then the equation to use to find x is

12x - 29 + 4x + 1 = 180

16x - 28 = 180 ( add 28 to both sides )

16x = 208 ( divide both sides by 16 )

x = 13

Answer:

13

Step-by-step explanation:

Angles ( 12x - 29 ) and ( 4x + 1 ) are co - interior angles.

Sum of co - interior angles are supplementary.

12x - 29 + 4x + 1 = 180

12x + 4x - 29 + 1 = 180

16x - 28 = 180

16x = 180 + 28

16x = 208

x = 208 / 16

x = 13

find the slope (3,-6)(-1,4)

Answers

Answer:

slope is -5\2

Step-by-step explanation:

use the point point slope formula

which is the pattern for factoring the sum of cubes​

Answers

Answer:

4th option

Step-by-step explanation:

The factors of a³ + b³ are

a³ + b³ = (a + b)(a² - ab + b² )

Answer:

4th option

Step-by-step explanation:

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