Maria has 64 meters of fencing to enclose a rectangular plot of land. She knows the area of the plot is 252 square meters. Find the dimension of Maria's plot of land.

Answers

Answer 1

Answer:

18 meters by 14 meters

Step-by-step explanation:

Area of rectangle is base times height (AKA length times width or however you wish to call the dimensions).

This question is a system of equations question. We can make two equations. We know that every rectangle must have 2 "lengths" and 2 "widths" (4 sides in a rectangle). Since Maria only has 64 meters of fencing, we get the equation:

2L+2W = 64

Now we know the area enclosed must be 252 so we have:

L* W = 252

Rewriting the second equation we get: [tex]W=\frac{252}{L}[/tex]

Plug this into first equation to get: [tex]2L+2\left(\frac{252}{L}\right)=64[/tex]

[tex]2L+\frac{504}{L}=64[/tex]

[tex]2L^2+504=64L[/tex] (multiply everything by L)

Solving the quadratic tells us L can be 18 or 14. Let's consider if L is 18 first by plugging 18 back into the second equation to get 18 * W = 252 which gives us W = 14. If we do the same for when L = 14, we get that W = 18.

Now you might wonder why we have 2 possible combinations, that's because in reality, it doesn't matter which one we label as length (L) or width (W).


Related Questions

which expression results from using the distributive property?
number 1: 7(x+3) a.7x+3 b. 7 x + 3. c.21x d. X + 21
number 2: 3(6+r) a.6+r b.6+3r c.18r d.18+3r
number 3:12(n+2) a.12n b.n+24 c.12n+24 d.24n​

Answers

Answer:

Number 1: 7x+21

Number 2: 18+3r

Number 3: 12n+24

Step-by-step explanation:

Factor

Evaluate the function w=-5x-1 when x=-3,0, and 8.

Answers

When x = -3;

w = -5(-3) - 1

w = 15 - 1

w = 14

When x = 0;

w = -5(0) - 1

w = 0 - 1

w = -1

When x = 8;

w = -5(8) - 1

w = -40 - 1

w = -41

Best of Luck!

All formula of Trignometric Identities​

Answers

[tex] \huge \purple{\tt{Answer:}} [/tex]

Trigonometric identities and relations

6th grade math help me please....

Answers

Answer:

5^3 = 125^3

Step-by-step explanation:

5x5x5

Answer:

5³=125

Step-by-step explanation:

5x5x5

=5³

=125

3x-12y=216 solve for y fully reduced​

Answers

3x-12y=216

-3x. -3x

-12y=216-3x

÷-12. ÷-12

Y= -18+1/4x

I think

What is the discriminant of the quadratic equation x^2 + 2x + 6 = 0 please hurry!!!

Answers

Answer:

Step-by-step explanation:

If ax² + bx + c = 0, then the discriminant is b²-4ac

x² + 2x + 6 = 0

discriminant = 2²-4·1·6 = -20

Since the discriminant is negative, there are no real roots. There are two complex roots.

How can you write and
solve equations involving rational numbers?

Answers

Convert the rational number to decimals, then solve it as a decimal instead, (with the optional choice of re-converting it back to rational).

AC =
Round your answer to the nearest hundredth.

Answers

Answer:

the answer is 8.24 using tan =opp/adj

Need help will give brainly

Answers

Answer:

130

Step-by-step explanation:

i think it's 130 cuz we have to multiply 10 by 13 yard and we get 130 for that.

Answer:

g = 8.5

Step-by-step explanation:

V = area of base x height

1105 = 10(13)g

1105 = 130g

g = 8.5

Hari can do a piece of work in 8 days. In how many days would he do one-fourth of the same work ? Can anyone show the process as well ? Will matk brainlieast​

Answers

Answer:

2 days

Step-by-step explanation:

I figured out what 1/4 of 8 was by taking 2 and multiplying it by 4. You can also get this same answer by dividing 8 by 4.

Write as a product (5c-3d)^2-9d^2

Answers

Answer:

25c^2-30cd

Step-by-step explanation:

The product of expression is,

⇒ 5c (5c - 6d)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ (5c - 3d)² - 9d²

Now, We can write the expression in form of product as;

⇒ (5c - 3d)² - 9d²

⇒ (5c - 3d)² - (3d)²

⇒ (5c - 3d - 3d) (5c - 3d + 3d)

⇒ (5c - 6d) (5c)

⇒ 5c (5c - 6d)

Thus, The product of expression is,

⇒ 5c (5c - 6d)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

is (6, 0) a coordinate, a slope, or neither

Answers

Answer:

Coordinate

Step-by-step explanation:

It is a coordinate because with slope you would need at least two ordered pairs

Answer:

A coordinate.

Step-by-step explanation:

A coordinate takes the form of ( x , y ), in which x is the horizontal, while y is the vertical.

In this case, (6 ,0) is the given coordinate, in which it displaces +6 to the right of the (0 , 0).

~

A slope will typically look like either a whole number, or the more usual fraction.

~

What is the y-intercept in the equation y=4x-3?

Answers

Answer:

I haven't did this in a long time, but I think it's -3

Step-by-step explanation:

Company cuz closed at $52.93 per share with a P/E ratio of 15.17 how much were earnings per share

Answers

Answer: $3.49

Step-by-step explanation:

Earnings per share shows how much of the profit of the company every share will get.

You can use it to calcutae the P/E ratio through the following formula:

P/E ratio = Share price / Earnings per share

15.17 = 52.93 / EPS

EPS * 15.17 = 52.93

EPS = 52.93 / 15.17

= $3.49

PLEASE HELP!

James ran 28 miles in `2\frac{1}{3}`hours. What was his rate in miles per hour?



Write the expression, then solve. Must show all work.

Answers

Answer:

15 mph

Step-by-step explanation:

28mi=2  1/3

2   1/3 = 2 hrs 20min

110min

28/110=.254 mi per min

.25*60=15 mi per hrs

I need Math help thank you!

Answers

Answer:

Step-by-step explanation:

Coordinates of the vertices of the triangle are,

M(-2, 5), N(3, 2) and L(-2, 1)

Rule for the rotation of a point (x, y) 90° counterclockwise about the origin ,

(x, y) → (-y, x)

That means coordinates of a point (x, y) becomes (-y, x) after the rotation of 90° counterclockwise about the origin.

Following this rule,

M(-2, 5) → M'(-5, -2)

N(3, 2) → N'(-2, 3)

L(-2, 1) → L'(-1, -2)

Now we can draw the image triangle M'N'L' with the help of these image points.

please help me tysm!
Stan has read 90% of his book. If his book is 360 pages long, which is the best estimate of how many pages he still has to read?

Answers

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:


700, 1200, 1600, 2000, X
If the mean of the five numbers above is 1600, what
is the value of x ?

Answers

Answer:

2500

Step-by-step explanation:

The mean of 700, 1200, 1600, 2000, 2500 is 1600.

find the area of shaded region in given figure 14 cm and 7 cm

Answers

Given:

The radii of circles are 14 cm and 7 cm.

To find:

The area of the shaded region.

Solution:

Area of a circle is

[tex]Area=\pi r^2[/tex]

From the given figure, it is clear that

Area of shaded region = Area of larger circle - Area of smaller circle

                                      = [tex]\pi (14)^2-\pi (7)^2[/tex]

                                      = [tex]\dfrac{22}{7}\times 14\times 14-\dfrac{22}{7}\times 7\times 7[/tex]

                                      = [tex]616-154[/tex]

                                      = [tex]462[/tex]

Therefore, the area of the shaded region is 462 sq. cm.

Find 25% of 14.

A. 3.5
B. 11.5
C. 12
D. 7

Answers

Answer:

A

Step-by-step explanation:

PLEASE HELP ME!!! I HAVE 15 MINS

Answers

the right answer for that question is c

Karen bought 8 pounds of fruit to make 3 equal-sized fruit salads. What is the weight of each fruit salad?
Fractions.

Answers

Answer:

Improper fraction: 8/3 Mixed Number: 2 2/3

Step-by-step explanation:

In this problem ,  you have to divide the 8 pounds of fruit into three different salads.

So, you need to divide 8 by 3. So, the answer will be 8/3 OR 2 2/3

How many times larger
is 8 x 10^4 than 8 x 10^1

Answers

Answer:

8x10^4=80,000

8x10^1=80

79,920 times larger!

Step-by-step explanation:

Hope that helps! :)

The values 8 * 10^4 is 1000 times larger than 8 * 10^1

Scientific notations are expressions written in the form A * 10^n

Given the following scientifc notations:

A = 8 x 10^4

B = 8 x 10^1

In order to know how many times larger  is 8 x 10^4 than 8 x 10^1, we will take the ratio of both values as shown;

Ratio =

[tex]\frac{A}{B} = \frac{8 \times 10^4}{8 \times 10^1}\\ \frac{A}{B} = 1 \times 10^{4-1} \\ \frac{A}{B} = 10^3\\ \frac{A}{B} = 1000[/tex]

This shows that the values 8 * 10^4 are 1000 times larger than 8 * 10^1

Learn more here: https://brainly.com/question/10401258

PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!!

Answers

Answer:

Step-by-step explanation:

T = $3b

Can someone help pls? With working out if possible :)

Answers

Answer:

x=7/2

Step-by-step explanation:

first, multiply 3/4 and 5/8 into the () to get rid of them.

3/4x -3/4 = 5/4x -5/2

next, combine like terms

5/4x -3/4x = -3/4 +5/2

1/2x = -3/4 +10/4 = 7/4

divide both sides by 1/2

x= 7/2


PLZ HELP ME PLZ I NEED IT

Answers

Answer:

1, 3, 2, 4, 5

Step-by-step explanation:

George has a sum of money.
He divides the money between Siobhan and Iwan.
Iwan receives 11 of the money.
Write the ratio of the money that Siobhan receives to the money that Iwan receives.
Input note: give your ratio in its simplest form where each part is a whole number.

Answers

11:100
iwan:siobhan
if iwan gets 11% then iwan gets 89/100

What is the length of QR

Answers

Answer:

8

Step-by-step explanation:

Set 3n-1=5n-7.

Solve.

n=3.

Plug in 3 to 5n-7.

QR=8

Answer:

QR=8

Step-by-step explanation:

so using the fact that the two triangles are congruent, we can determine:

5n-7=3n-1

5n-6=3n

2n-6=0

n=3

so we replace all n in 5n-7 with three

5x3-7

15-7

8

In ∆DEF, ∠F = ∠D and EF = 4 cm and DF = 5 cm. Then find the length of DE

Answers

Answer:

DE = 4cm.

Step-by-step explanation:

The Isoscles Triangle Theorem says that:

"If two sides of a triangle are congruent, then angles opposite those sides are congruent."

The converse of this theorem is

"If angles opposite those sides are congruent, then two sides of a triangle are congruent."

Therefore, since ∠F is congruent to ∠D and are opposite sides ED and EF

while EF = 4 cm and DF = 5 cm.

DE = 4cm.

HURRY ILL GIVE YOU EXTRA POINTS IF YOU ANSWER FAST

Answers

Answer:

4th one probs

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