What is the length of the rectangle?

What Is The Length Of The Rectangle?

Answers

Answer 1

Step-by-step explanation:

[tex]area \: of \: rectangle \: = 60 \: {yards}^{2} \\ \therefore \: (w + 4) \times \: w = 60\\ \\ \therefore \: {w}^{2} + 4w -60 = 0 \\ \\ \therefore \: {w}^{2} + 10w - 6w -60 = 0 \\ \\ \therefore \: w({w} + 10) - 6(w + 10)= 0 \\ \\ \therefore \: ({w} + 10) (w- 6)= 0 \\ \therefore \: {w} + 10 = 0 \: or \: w- 6 = 0 \\ \therefore \: {w} = - 10 \: or \: w = 6 \\ \because \: sides \: of \: rectangle \: cant \: be \: negative \\ \therefore \: w \neq \: - 10 \\ \\ \therefore \: w = 6 \\ \\ \therefore \: w + 4 = 6 + 4 = 10 \\ \\ length \: of \: rectangle \: = 10 \: yards.[/tex]

Answer 2

The length of a rectangle is 10 yards, and its width is 6 yards. The rectangle's area is 60 square yards. The length is 4 yards more than the width.

Let's call the width of the rectangle "W" in yards. According to the information given, the length of the rectangle is 4 more than the width, so the length can be represented as "W + 4" yards.

The formula for the area (A) of a rectangle is:

A = Length × Width

In this case, we know that the area is 60 square yards, so we can set up the equation:

60 = (W + 4) × W

Now, we can solve for the width (W). First, expand the equation:

60 = W^2 + 4W

Next, rearrange the equation to set it equal to zero:

W^2 + 4W - 60 = 0

Now, we can solve this quadratic equation for W. You can do this by factoring, completing the square, or using the quadratic formula. In this case, I'll use the quadratic formula:

W = (-b ± √(b^2 - 4ac)) / (2a)

In this equation, a = 1, b = 4, and c = -60. Plug these values into the formula:

W = (-4 ± √(4^2 - 4 * 1 * (-60))) / (2 * 1)

W = (-4 ± √(16 + 240)) / 2

W = (-4 ± √256) / 2

W = (-4 ± 16) / 2

Now, you have two potential solutions for W:

1. W = (-4 + 16) / 2 = 12/2 = 6

2. W = (-4 - 16) / 2 = -20/2 = -10

Since the width of the rectangle cannot be negative, we take the positive value, which is W = 6 yards.

Now that we know the width, we can find the length, which is W + 4:

Length = 6 + 4 = 10 yards

So, the length of the rectangle is 10 yards.

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Related Questions

Joey paints old furniture and sells the pieces at craft fairs. The function f(t) approximates how many pieces of furniture he paints per hour. The function w(h) represents how many hours per week Joey spends painting the pieces of furniture. What are the units of measurement for the composite function f(w(h))?


hours over weeks

weeks over furniture

furniture over hours

furniture over weeks

Answers

Answer:  Furniture over weeks

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

f(t) = furniture/ hour w(h)= hours/week

So, for the function f (w(h)) = hours /week x (furniture /hours)

Because "hours" are in both terms, and one is the numerator and the other is the denominator, they can be cancelled with each other.

f (w(h)) = furniture / week

Feel free to ask for more if needed or if you did not understand something.

Answer: D) Furniture over weeks

Step-by-step explanation:

I took the test

Can someone please answer this for me

Answers

Answer:

x = 9

Step-by-step explanation:

MN is a midline segment and is half the length of GH, thus

GH = 2 × MN, substitute values

15x - 45 = 10x ( subtract 10x from both sides )

5x - 45 = 0 ( add 45 to both sides )

5x = 45 ( divide both sides by 5 )

x = 9

What is 12.357 in expanded form

Answers

Answer:

10+2+0.3+0.05+0.007

Step-by-step explanation:

Final answer:

The number 12.357 in expanded form is written as 1 x 10 + 2 x 1 + 3 x 0.1 + 5 x 0.01 + 7 x 0.001. This represents the actual value of each digit in the number depending on its position.

Explanation:

The number 12.357 in expanded form is written as:

1 x 10 + 2 x 1 + 3 x 0.1 + 5 x 0.01 + 7 x 0.001.

Expanded form is a way of breaking down a number into its individual place value components. The correct intention is to show each digit's actual value, considering its position within the number. In this case, '1' is in the 'tens' place, '2' in the 'ones', '3' in the tenths', '5' in the 'hundredths' and '7' in the 'thousandths' place.

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I need help in solving this problem involving definite integrals in calculus. The correct answer is A) 64, but I need to know how it was done. Can you please show the steps in solving this? I need to correct my mistake.

Thanks in advance!​

Answers

Answer:

A) 64

Step-by-step explanation:

Integral of f(x+2) is the same as integral of f(x) with limits x+2

Integral of f(x-2) is the same as integral of f(x) with limits x-2

Intrtralof 3x² is x³

3(7) - 5(2) + [4³ - 1]

21 - 20 + 63 = 64

The diagonals of a kite are 22 feet and 33 long. what is the area ?

Answers

Answer:

A=363

Step-by-step explanation:

To solve the area of a kite you use

[tex] a = \frac{pq}{2} [/tex]

So 22×33=726 then divide that by 2 and you get 363.

Final answer:

The area of a kite with diagonals of 22 feet and 33 feet is calculated as half the product of its diagonals, resulting in an area of 363 square feet.

Explanation:

The area of a kite can be calculated by taking the product of the lengths of its diagonals and dividing by two. In the case of the kite with diagonals of 22 feet and 33 feet, we use the formula: Area = (diagonal1 × diagonal2) / 2. Substituting the given lengths into the formula, we get Area = (22 × 33) / 2.

To find the area, we multiply 22 feet by 33 feet which equals 726 square feet. Then we divide by 2, so the area of the kite is 363 square feet.

A town has accumulated 2 inches of​ snow, and the snow depth is increasing by 6 inches every hour. A nearby town has accumulated 8 ​inches, and the depth is increasing by 2 inches every hour. In about how many hours will the snowfall of the towns be​ equal?

Answers

Answer:

192 inches

Step-by-step explanation:

I dont know I tried

It will take approximately 1.5 hours for the snowfall in both towns to be equal.

The question asks to determine when the snowfall in two different towns will be equal. The first town starts with 2 inches of snow and accumulates 6 inches every hour. The second town starts with 8 inches of snow and accumulates 2 inches every hour. To find when the depths will be equal, we need to set up an equation where the snow depths of both towns are set equal to each other and then solve for time (t).

Let t be the number of hours required for the snow depths to be equal.

For the first town: Initial depth + (Rate of snowfall * Time) = 2 inches + (6 inches/hour * t)

For the second town: Initial depth + (Rate of snowfall *Time) = 8 inches + (2 inches/hour *t)

Setting both expressions equal, we get: 2 + 6t = 8 + 2t. By solving for t, we subtract 2t from both sides and also subtract 2 from both sides to obtain: 4t = 6. Then we divide both sides by 4 to find t = 1.5 hours.

So, it will take 1.5 hours for the snow depths in both towns to be equal.

a farmer has 1384 trees to be planted on a rectangular parcel of land. if there are 21 trees planted in each row and each row must be completed before it is planted, how many trees will be left over after planting?

Answers

Answer:

There will be 19 trees left over after planting.

Step-by-step explanation:

Divide 1384 by 21 which gives you the quotient of 65.90...

Then multiply 65 by 21 which equals 1365

Lastly subtract 1384 and 1365 which gives the answer 19.

Please help me with this problem

Answers

Answer:

The perimeter is 96 ft

Step-by-step explanation:

Step 1:  Add the given sides

9 + 9 + 9 + 9 + 9 + 9 + 30 + (30 - 9 - 9)

84 + (12)

96

(30 - 9 - 9) gives us the opposite side of 30 ft

Answer:  The perimeter is 96 ft

5y + (86 - y) = 86 + 4y

Answers

Answer:

All real values, (-∞, ∞)

Step-by-step explanation:

Step 1:  Distribute

5y + (86 - y) = 86 + 4y

5y + 86 - y = 86 + 4y

Step 2:  Combine like terms

5y + 86 - y = 86 + 4y

4y + 86 = 86 + 4y

Step 3:  Subtract 4y from both sides

4y + 86 - 4y = 86 + 4y - 4y

86 = 86

Step 4:  Subtract 86 from both sides

0 = 0

Answer:  All real values, (-∞, ∞)

Answer:

0

Step-by-step explanation:

Given

5y + (86 - y) = 86 + 4y

Open parenthesis

5y + 86 - y = 86 + 4y

Rearrange the expression

5y - y + 86 = 86 + 4y

4y + 86 = 86 + 4y

Combine like terms

4y - 4y = 86 - 86

0 = 0

0

Which two ratios form a proportion?
02:3 and 4:12
2:3 and 6:12
2:3 and 12:18
2:3 and 12:36

Answers

2: 3 and 12: 18 form a proportion

Step-by-step explanation:

When the two ratios are equal then they are said to be in proportion.

[tex]$\frac{2}{3}[/tex]  ≠ [tex]$\frac{4}{12} = \frac{1}{3}[/tex]  

So 2:3 and 4:12 are not in proportion.

[tex]$\frac{2}{3}[/tex]  ≠ [tex]$\frac{6}{12} = \frac{1}{2}[/tex]

So 2:3 and 6:12 are not in proportion

[tex]$\frac{2}{3}[/tex]  ≠ [tex]$\frac{12}{18} = \frac{2}{3}[/tex]  

So 2:3 and 12:18 are in proportion

[tex]$\frac{2}{3}[/tex]  ≠ [tex]$\frac{12}{36} = \frac{1}{3}[/tex]

So 2:3 and 12: 36 are not in proportion  

Please help I’m failing

What is the negation of the following statement?
m∠A is greater than 90.


A: m∠A is not less than 90.


B: m∠A is less than or equal to 90.

Answers

I’m pretty sure and I think that it is B

Maya wants to know how many games the seventh grade students at her school play on their phones. Which is the BEST population for Maya's question? A) All the students in the school. B) All the students in Maya's homeroom. C) All of Maya's seventh grade friends. D) All the seventh grade students at Maya's school.

Answers

Answer:

The best population for Maya's school would be all the seventh grade students at Maya's school, because that is who she wants to know how many games they play.

D. All the seventh grade students at Maya's school.

Hope this helps ;)

Answer:d

Step-by-step explanation:

If you bought a stock last year for a price of $128, and it has gone down 14.7% since then, how much is the stock worth now, to the nearest cent?

Answers

Answer:

so, you've lost 14.7 percent of value. or, in other words, you still have 85.3 percent of value.

Step-by-step explanation:

so just so .853 times 128 and you're there I'm too lazy to grab calc but please give me brainliest answer

Answer: $109

Step-by-step explanation:

Given stock at last year = $128

14.7 percent decrease = 14.7/100 × 128

=$18.8

To get the Current worth of stock, we then subtract 14% decrease from the worth of stock as at last year:

= $128 - $18.8

=$109.18 to the nearest cent is $109

I hope this helps.

A scientist looks at a bacterium and a virus in a lab. The bacterium has a diameter of 10 Superscript negative 6 meters. The virus has a diameter of 10 Superscript negative 7 meters. Which statement accurately compares the sizes of the specimens?

Answers

Answer:

the answer is a

Step-by-step explanation:

Answer:

The diameter of the bacterium is 10 times greater than that of the virus.

Step-by-step explanation:

I just took quiz in edge

You have a jar of jelly beans in front of you

with 12 - lime, 17 - papaya, 5 - mango and 13

- bubble gum. What is the probability, as a

fraction, of selecting either a lime or bubble

gum followed by a papaya?

Answers

Final answer:

The probability of picking a lime or bubblegum jellybean followed by a papaya jellybean is 425/2162, which is approximately 0.196 when rounded to three decimal places.

Explanation:

The subject of this question is probability, a mathematical concept. Here is how we would calculate the answer to the student's query:

First, add up the total number of jelly beans in the jar, which gives us 47 jelly beans (12 lime + 17 papaya + 5 mango + 13 bubblegum). The total probability of picking a lime or bubblegum jelly bean is the probability of picking lime or bubblegum jelly beans divided by the total number of jelly beans.

The probability of picking a lime or bubblegum jelly bean is 25/47 (12 lime + 13 bubblegum = 25; 25/47).

After picking a lime or bubblegum jellybean, there are now 46 jellybeans left. Hence the probability of picking a papaya jellybean is 17/46.

Now, to get the total probability of picking a lime or bubblegum jellybean followed by a papaya jellybean, you multiply these two probabilities together.

The result will be (25/47) × (17/46) = 425/2162, which can be simplified to approximately 0.196 when rounded to three decimal places.

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The correct probability, as a fraction, of selecting either a lime or bubblegum followed by a papaya is [tex]\(\frac{25}{341}\)[/tex].

To find this probability, we need to calculate the probability of each individual event and then multiply them together because we are dealing with two independent events: first selecting a lime or bubblegum, and then selecting a papaya.

 First, let's find the total number of jelly beans:

Total jelly beans = lime + papaya + mango + bubble gum

Total jelly beans = 12 + 17 + 5 + 13

Total jelly beans = 47

Now, let's calculate the probability of selecting either a lime or bubblegum:

Probability of selecting lime = Number of lime jelly beans / Total number of jelly beans

Probability of selecting lime = 12 / 47

Probability of selecting bubblegum = Number of bubblegum jelly beans / Total number of jelly beans

Probability of selecting bubblegum = 13 / 47

 Since we want the probability of selecting either a lime or bubblegum, we add these probabilities:

Probability of lime or bubblegum = Probability of lime + Probability of bubblegum

Probability of lime or bubblegum = (12 / 47) + (13 / 47)

Probability of lime or bubblegum = 25 / 47

 Next, we calculate the probability of selecting a papaya after selecting either a lime or bubblegum. Since we are not replacing the jelly bean after the first selection, the total number of jelly beans is now 46 (one less than before because one jelly bean has been removed).

Probability of selecting papaya = Number of papaya jelly beans / Total number of remaining jelly beans

Probability of selecting papaya = 17 / 46

Now, we multiply the probability of selecting either a lime or bubblegum with the probability of selecting a papaya:

Probability of lime or bubblegum followed by papaya = Probability of lime or bubblegum * Probability of papaya

Probability of lime or bubblegum followed by papaya = (25 / 47) * (17 / 46)

Finally, we simplify this expression:

Probability of lime or bubblegum followed by papaya = (25 * 17) / (47 * 46)

Probability of lime or bubblegum followed by papaya = 425 / 2162

This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 1 in this case. So the fraction is already in its simplest form.

 Therefore, the probability of selecting either a lime or bubblegum followed by a papaya is [tex]\(\frac{425}{2162}\).[/tex]However, upon re-evaluating the calculation, it seems there was an error in the simplification process. The correct simplification is:

 Probability of lime or bubblegum followed by papaya = [tex]\(\frac{25}{341}\).[/tex]

HELP ASAP, I'M TIMED

Which equation can be used to solve for angle N in the triangle below?

A. 6.2^2 = 3.6^2 + 4.3^2 - 2(3.6)(4.3)cosN
B. 6.2^2 = 3.6^2 + 4.3^2 + 2(3.6)(4.3)cosN
C. 6.2^2 = 3.6^2 + 4.3^2 - (3.6)(4.3)cosN
D. 6.2^2 = 3.6^2 + 4.3^2 + (3.6)(4.3)cosN

Answers

Option A:

The equation used to solve for angle N is

 [tex]6.2^{2}=3.6^{2}+4.3^{2}-2(3.6)(4.3) \cdot \cos N[/tex]

Solution:

Given data:

MO = 6.2 cm

ON = 4.3 cm

MN = 3.6 cm

To find the equation to solve for angle N:

Using cosine formula,

 [tex]c^{2}=a^{2}+b^{2}-2 a b \cdot \cos C[/tex]

Here, a = 3.6 cm, b = 4.3 cm, c = 6.2 cm, and angle A = angle C

Substitute these in the formula, we get

 [tex]6.2^{2}=3.6^{2}+4.3^{2}-2(3.6)(4.3) \cdot \cos N[/tex]

The equation used to solve for angle N is

 [tex]6.2^{2}=3.6^{2}+4.3^{2}-2(3.6)(4.3) \cdot \cos N[/tex]

Hence option A is the correct answer.

5 to the power of two

Answers

Answer:

25

Step-by-step explanation:

5^2 = 25

5 * 5 = 25

Answer:

25

Step-by-step explanation:

Step 1:  Convert words into an expression

5 to the power of two

5^2

Step 2:  Solve

5^2

25

Answer:  25

All 5 students in Mrs. Awful's class got a 50 on the test. What’s the average grade in this class?

Answers

Answer:

50

Step-by-step explanation:

add them all up and divide by 5

Answer:

50

Step-by-step explanation:

divide them all

Last one!! Will give Brainliest as always

Answers

Answer:

216 square yards

216 yd^2

Step-by-step explanation:

Base: 6 × 12 = 72

Rectangular Sides: 5 × 12 = 60 (×2 = 120)

Triangular Sides: 6 × 4 = 24 (÷2 ×2 = 24)

Add: 72 + 120 + 24 = 216

Jeanie wrote the expanded form of (0.2)^5
0.2+0.2+0.2+0.2+0.2
Which statement is true?
Jeanie wrote the expanded form correctly
Jeanie should have used only for factors of 0.2 as the base
Jeanie should have multiplied the base by itself five times
Jeanie should have multiplied 0.2 x 5

Answers

Answer:

Jenny should multiplies the base itself five times

Step-by-step explanation:

(0.2)^5 is (.02) multipled by it's self repeated for the number of exponents. Use this as a example 2^x; 2^1 = 2, 2^2 = 2*2, 2^3 = 8, and so on....

Answer:

C I took the test

Step-by-step explanation:

which expressions are equivalent to 2^5/6^5

Answers

3^-5 is the answer to this expression.

George is playing cards. what is probability of pulling an ace or Jack from the deck

Answers

Answer:

There are 52 cards in a regular deck, and there are 4 aces and 4 jacks (1 for each suit) so the fraction is 8/52. Simplifying, we get: 4/21. So there is a 4/21 chance of pulling an Ace or Jack from a regular deck of cards.

I hope this helps!

heyy I kinda need help

Answers

Answer:

1.72

Step-by-step explanation: 19.28+25.3= 44.58

46.3-44.58=1.72

10/10
6x-7=12
5/6
6/19
19/6

Answers

Answer:

[tex]10/10 = 1[/tex]

[tex]x=\frac{19}{6} \\[/tex]

[tex]5/6 =0.83[/tex]

[tex]6/19 = 0.31578947[/tex]

[tex]19/6 = 3.16[/tex]

terry ran around a circular track . if the radius of the track is 200 feet how far did tarry run​

Answers

Terry ran a distance of 1256ft

Data;

Radius of Track = 200 feetDistance covered = ?

Circumference of a Circle

The distance covered can be calculated from the circumference of the circular track. This can be done using the formula of circumference of a circle which is given as

[tex]C = 2\pi r\\[/tex]

Let's substitute the values and solve

[tex]C = 2\pi r\\C = 2 * 3.14 * 200\\C = 1256ft[/tex]

The circumference of the track is 1256ft.

From the calculation above, Terry ran a distance of 1256ft

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Final answer:

Terry ran a distance of 400π feet around the circular track with a radius of 200 feet.

Explanation:

To find the distance Terry ran around a circular track with a radius of 200 feet, we can use the formula for the circumference of a circle. The circumference of a circle is given by the formula: C = 2πr, where C is the circumference and r is the radius. So, the distance Terry ran is: D = 2π(200). Calculating this gives us the answer: D = 400π feet.

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PLEASE ANSWERRRRRRRRRR

A student makes the claim that the space around a charged particle will exert a force on any other charged particle that is placed within this space. If an object is placed between two charged metal plates, one plate that is positively charged and one plate that is negatively charged, which argument BEST supports the student's claim?

A. An object with a positive charge will be attracted to the positive plate.
B. An object with a negative charge will remain stationary between the plates.
C. An object with a negative charge will be attracted to the negative plate.
D. An object with a positive charge will move toward the negative plate.

Answers

Answer: D

Step-by-step explanation:

The claim of the student that supported should be an object along with the positive charge along with will the movement towards the negative plate.

Hence, Option D is true.

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.

Since, We know that;

In terms of physics, the charged particle refer to the particle along with an electric charge. It should be ion like molecule or atom along with a surplus or deficit of electrons with respect to the b.

Hence, In the case when the object should be considered as the positive charge should be movement towards the negative plate so the same should be considered as the student claim.

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Solve this quadratic equation using the quadratic formula.
2x^2 - 10x + 7 = 02x2 - 10x + 7 = 0

Answers

Answer:

I'm assuming the equation is:

2x^2 -10x +7 = 0

x = (-b +- sqr root (b^2 - 4ac)) / 2a

x = (--10 +-sqr root (100 -4*2*7)) / 4

x = (10 +- sqr root (44)) / 4

x1 = (10 + 6.6332495807 ) /4

x1 = 16.6332495807 / 4

x1 = 4.1583123952

x2 =(10 - 6.6332495807 ) /4

x2 = 3.3667504193  / 4

x2 = 0.8416876048

Step-by-step explanation:

A parking garage charges a flat rate for the first hour plus $1.25 for each additional hour of parking. It costs $8.00 to park in the garage for 5 hour. What is the linear equation models the total cost, y, of parking in the garage for x hours?
Please show your work if you can.
A. Y= 1.25x
B. Y= 1.25x + 5
C. Y= 1.25x + 1.75
D. Y= 1.25x + 3

Answers

Find the flat rate:

1.25 x 4 = 5.00

8.00 -5.00 = 3

The flat rate is $3

The equation would be:

D. Y= 1.25x + 3

Answer:

1.25x+1.75 is the correct answer

Step-by-step explanation:

np


Describe what an "included" angle is. Give an example.

Answers

Answer:

The angle between two sides is the included angle.

Example:

In triangle ABC,

Angle B is an included angles because it's formed by two sides AB and CB which meet at point B.

Similarly, other angles in a triangle are also included.

This is for all segments which meet at point, triangle is just one example

WXYZ is a trapezoid with WX ≅ YZ. Isosceles trapezoid W X Y Z is shown. Sides X Y and W Z are parallel. The length of X Y is 3 a minus 4 and the length of W Z is 3 a. Sides W X and Y Z are congruent. The length of W X is 2 a minus 2 and the length of Y Z is a + 1. What is the length of XY? 3 units 4 units 5 units 6 units

Answers

Answer: 5 units

Step-by-step explanation:

Based on the definition of an isosceles trapezoid, the length of XY is: 5 units.

What is an Isosceles Trapezoid?

An isosceles trapezoid is a trapezoid that has two legs that are congruent.

Therefore:

2a - 2 = a + 1

Add like terms

2a - a = 2 + 1

a = 3

XY = 3a - 4

Plug in the value of x

XY = 3(3) - 4

XY = 5 units

Therefore, based on the definition of an isosceles trapezoid, the length of XY is: 5 units.

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