A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,240 ft Determine the​ flag's width and length if the length is 460 ft greater than the width.

Answers

Answer 1

Answer:

the flag is 50 feet long and 160 feet wide

Answer 2

Answer: The width is 330 feet and the length is 790 feet.

Step-by-step explanation:

     We will write a system of equations to help us solve. Let w be the width and l be the length.

2w + 2l = 2,240 ft

l = 460 ft + w

     Now, we will solve for w, the width, by substituting one equation into the other.

2w + 2l = 2,240 ft,       l = 460 ft + w

2w + 2(460 ft + w) = 2,240 ft

2w + 920 ft + 2w = 2,240 ft

4w + 920 ft = 2,240 ft

4w = 1,320 ft

w = 330 ft

     The width is 330 feet.

     Now, we will solve for l, the length.

l = 460 ft + w,          w = 330 ft

l = 460 ft + 330 ft

l = 790 ft

     The length is 790 feet.


Related Questions


Write an equation and solve for x using the diagram
below. Also give the angle measure. YOU MUST
WRITE THE EQUATION IN ORDER TO GET

Answers

Answer:

x = 45

Step-by-step explanation:

2x + 6 and 96 are vertically opposite angles and are congruent , then equation is

2x + 6 = 96 ( subtract 6 from both sides )

2x = 90 ( divide both sides by 2 )

x = 45

Evaluate x^{3} - 3y when x = -3 and y = 4.

Answers

Answer:

-39

Step-by-step explanation:

Substitute x by - 3 and y by 4

(-3)^3 - 3 *4 = - 39

The results of a survey show that the percent of adults in a certain town who want to add bike lanes to a major roadway is in the interval (0.57, 0.65)
(a) What is the point estimate for the percent who want to add the bike lanes?
(b) What is the poll’s margin of error?
(c) If the town’s adult population is 31,526, what is the best estimate for the number of people who would support the bike lanes?
Please DO NOT COMMENT RANDOM LETTERS

Answers

Answer:

a) about 39.5%

sorry if it wrong im not sure tho

Step-by-step explanation:

PLEASE PLEASE PLEASE HELP

Answers

Answer: y=6x+8

Step-by-step explanation:

slope intercept form: y= mx+b

slope(m)= (y2-y1) / (x2-x1)

using the first two columns, we get:

(14-8)/(1-0) = 6/1= 6

to find b: find the y value where x=0

that gives us b=8

therefore, if we plug in m and b into the slope intercept form, we get

y = 6x + 8

Answer: y=6x+8

Step-by-step explanation:

I need help completing the square

Answers

The formula needed to transform a quadratic polynomial or equation into a perfect square with an additional constant is known as the square formula. It is expressed as, [tex]ax^2 + bx + c = a(x + m)^2 + n[/tex], where, m and n are real numbers.

What does math's "completing the square" mean?

When a square is complete, a quadratic is written in the shape of a squared bracket, and if necessary, a constant is added. A good example is [tex]x^2 + 6x + 7[/tex] . First, let's note that [tex](x + 3)^2 = (x + 3)(x + 3) = x^2 + 6x + 9. x[/tex]  because this is two more than our expression.

Quadratic Equation: What Is It?

The polynomial equations of degree two in one variable of type[tex]f(x) = ax^2 + bx + c = 0[/tex] and with a, b, c, and R R and a 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" for the absolute term of f(x).

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Use what you know about decomposing fractions to write 11/10 as a mixed number.

Answers

The answer is 1 and 1/10.

Evaluate fraction with negative 3 raised to the seventh power times negative 3 squared in the numerator and negative 3 raised to the fifth power in the denominator.

−81
−27
27
81

Answers

Answer:

Last option, 81.

Step-by-step explanation:

Evaluate, [tex]\frac{(-3)^{7}(-3)^{2} }{\ (-3)^{5} }[/tex]

[tex]\frac{(-3)^{7}(-3)^{2} }{\ (-3)^{5} }[/tex] => [tex]\frac{(-3)^{7+2} }{\ (-3)^{5} }[/tex] => [tex]\frac{(-3)^{9} }{\ (-3)^{5} }[/tex] => [tex](-3)^{9-5}[/tex] => [tex](-3)^{4}[/tex] => [tex](-3)(-3)(-3)(-3)[/tex] => [tex]81[/tex]

Percent | Word Problems
1) Mrs. Smith has covered 50 miles of a 125-mile journey. What percentage of the
journey has been covered by her?

Answers

Answer:

40%

Step-by-step explanation:

50/125×100%

=40%

Mr Smith has covered 40 percent of the journey

Answer:

40%

Step-by-step explanation:

50/125 ×100= 40%

Which step is not necessary when solving this system of equations by graphing?


Identify the point of intersection.
Choose a method to graph the equations.
Determine the shaded area for each line.
Write the solution as an ordered pair.

Answers

Not necessary when solving this system of equations by graphing is

to determine the shaded area for each line. The correct option is C.

What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

We graph both equations in the same coordinate system in order to visually solve a system of linear equations. The intersection of the two lines is where the system's answer will be found. The point where the two lines join is (-3, -4), which is where this equation system's solution lies.

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please help me. i need this assignment done b4 tomorrow.

Answers

Answer:

Step-by-step explanation:

1/4 circle = 1/4*[tex]\pi[/tex][tex]r^{2}[/tex]

1/4 circle =1/4 *[tex]\pi[/tex]*[tex]11^{2}[/tex]

1/4 circle =95.03317

top rectangle = 11*5

top rectangle =55

bottom rectangle = 7*13

bottom rectangle = 91

add the 3 up

total area = 95.03317 + 55 + 91

total area = 241.03

Calculate the sector area: 16 in 90°​

Answers

Therefore , the solution of the given problem of area comes out to be

r = 8.

Define area.

The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.

Here,

A 90 degree sector occupies 1/4 of a circle, which has 360 degrees. Consequently, the area of the whole circle can be written as

Sector Size/Sector Area = Circle Area/360

16 ft2/90 = n/360

(360) (16 ft2)/90 = n

(4)(16 ft2) = n

The total size of the circle is n = 64 ft2.

Since Area of a Circle equals r2,

∏r2 = 64

r2 = 64/∏

r = √(64/∏)

We multiply by / to get by rationalizing the denominator.

r = √(64∏)/√(∏2) Then using the denominator's square root, we can obtain the solution of

r = √(64∏)/∏

r = 8

Therefore , the solution of the given problem of area comes out to be

r = 8.

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khan academy Find the median of the data in the dot plot below. chocolate chips

Answers

Answer:

Where's the picture?

Step-by-step explanation:

Can't see it.

what's the area? i need it by 7:00 AM EST time

Answers

Answer:

approx 506.52

Step-by-step explanation:

Rectangle: 21 x 12 =252

Half circle = 1/2 (3.14)(6^2) = 56.52

Trapezoid: 6 (33 +33) = 198

add all of them together

Answer:

479.52 cm²

Step-by-step explanation:

Semi-circle:

A = 1/2πr² = 1/2*3.14*6² = 56.52 cm²

Trapezoid:

A = 1/2(a + b)h = 1/2 [(12 + 12) + (12 + 21)] (6) = 171 cm²

Rectangle:

A = ab = 12*21 = 252 cm²

Area of the shape:

56.52 + 171 + 252 = 479.52 cm²

A 4lb. bag of salt water taffy from the beach costs $15.12. What is the unit rate?

A.$15.12/lb
B.$3.78/lb
C.$3.79/lb
D.$3.77/lb​

Answers

So a unit means 1. So for this problem you wanna take the number of pounds and multiply it by the number of pounds they got(4lb). Answere is B. 3.78*4=$15.12

Identify two angles that are marked congruent to each other on the diagram
below. (Diagram is not to scale.)

Answers

Answers:  

TSO for the first boxQRP for the second box

Explanation:

The angles TSO and QRP are marked with the same double angle arc markers. This signifies they are congruent or the same measure. For example, they both could be 30 degrees each.

The naming "angle TSO" is the same as saying "angle OST". The order of the letters does not matter as long as point S is in the middle. Similarly, saying "angle QRP" is the same as "angle PRQ".

Write −12x+y=10 in slope-intercept form.

Answers

The equation −12x+y=10 in slope-intercept form is y = 12x + 10

How to write the equation in the slope-intercept form

The general equation showing the slope-intercept form of a graph is represented as;

y = mx+ c

Given that;

y is a point on the y-axis of the graphm is the slope of the graphx is a point on the x -axis of the graphc is the intercept of the line on the y-axis

From the information given, we have the equation as;

−12x+y=10

Now, let's make 'y' the subject of formula by

-12x + y = 10

Take '12x' to the other side of the equality sign

y = 10 + 12x

Make into slope-intercept form, we have

y = 12x + 10

Hence, the formula is y = 12x + 10

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The slope-intercept form of the equation of line −12x + y = 10 is y = 12x + 10.

What is the slope-intercept form of the equation of line?

The slope-intercept form is expressed as;

y = mx + b

Where m is slope and b is the y-intercept.

Given the equation of the line;

−12x + y = 10

To rewrite in slope intercept form ( y = mx + b ), bring terms containing y to the left and x or constant terms to the write side of the equation.

−12x + y = 10

Add 12x to both sides

−12x  + 12x + y = 10 + 12x

y = 10 + 12x

Reorder in slope intercept form

y = 12x + 10

Therefore, the slope intercept form is y = 12x + 10.

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HELP ASAP

A triangular prism. The rectangular sides are 2 centimeters by 13 centimeters, 12 centimeters by 2 centimeters, and 5 centimeters by 2 centimeters. The 2 triangular sides have a base of 5 centimeters and height of 12 centimeters.
Which equation could be used to find the surface area of the net of the triangular prism shown?
SA = (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2)
SA = (1/2) (5)(13) + (1/2) (5)(13) + (5)(2) + (13)(2) + (12)(2)
SA = (1/2)(5)(12) + (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2)
SA = (2)(5)(13) + (5)(2) + (13)(2) + (12)(2)

Answers

Answer:

C.  SA = (1/2)(5)(12) + (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2)

Step-by-step explanation:

C.

Answer:

It's C

Explanation:

I got it correct on Edge

does Area = 3.1415926 times radius squared

Answers

I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link:

bit.[tex]^{}[/tex]ly/3gVQKw3

how much do 10 pieces of candy cost if 1000 pieces cost $40​

Answers

0.4 as in 4 cents
can i get brainliest

Clark is building a large gazebo for his backyard. It is in the shape of a regular hexagon. Each side of the
gazebo is 12 feet long. The apothem is 10.4 feet. He needs to purchase stones for the floor. It costs $9.50
per square foot for a special type of interlocking stone. Find the cost of the gazebo's floor.
Round to the nearest ten dollars.

Answers

Total cost of gazebo's floor is $3556.8 when the gazebo has 12 feet on each side. 10.4 feet tall is the apothem.

Given that,

In Clark's backyard, a sizable gazebo is being constructed. It has a typical hexagonal form. The gazebo has 12 feet on each side. 10.4 feet tall is the apothem. He must get stones for the flooring. The price of a particular kind of interlocking stone is $9.50 per square foot.

We have to identify the gazebo's floor's cost.

We know that,

The distance from the center of the regular polygon to the mid point of the side. Here, AB is the chord and AM =BM. O is the center of the circumcircle.

Segments joining the center of a circle to the midpoint of the chord is perpendicular to the chord.

So, OM ⊥AB

In ΔOAB,

AB is the base and OM is the height.

AB = 12 feet

OM = 10.4 feet.

The area of the triangle OAB =1/2×base×height

= 1/2×12×10.4

=62.4 square feet.

A regular hexagon is divided into 6 equilateral triangle having each side  12 feet.

Area of the regular hexagon = 6× area of the one triangle

=6×62.4=374.4 square feet

Cost of inter locking stones = $9.50 per square feet.

Total cost of gazebo's floor = 374.4× 9.50 =$3556.8

Therefore, Total cost of gazebo's floor is $3556.8 when the gazebo has 12 feet on each side. 10.4 feet tall is the apothem.

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In rolling two dice, what is the probability that the sum of the two numbers on the dice will be 4?
A: 1 over 12
B: 3
C: 11 over 12
D: 2 over 3

Answers

Answer:

A

Step-by-step explanation:

If the dice are fair and 6 sided then you can roll a 4 in three ways

2    2

1     3

3    1

The total number of ways you can throw two 6 sided dice is 6 * 6 or 36

So P(4) = 3/36 = 1/12

What is the domain of the function y equals the square root of x plus 4

Answers

Answer:

The domain is the set of numbers that the x value can be.

In an equation like  the domain is all real numbers because x can be any number.

In the case of , any x value that is less than or equal to -4 will not work because you would be taking the square root of a negative number, which doesn't work unless you're graphing on a complex plane, which I assume you aren't.

Thus, the domain is

I hope that helps!

Step-by-step explanation:

Please need help don't understand please explain

Answers

Answer:

Combine like terms for the than you do to other side the multiply last for least you divide both sides

Step-by-step explanation:

i will give Brainiest if you are right

Answers

Answer:

J is the answer ............

Answer:

The answer is G.

Step-by-step explanation:

NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ WILL REPORT FAKE ANSWERS

Answers

D. 12
That’s your answer

Answer:

(0, 12)

Step-by-step explanation:

Seventy-five percent of the land in Venezuela is owned by:
2% of the people
17% of the people
75% of the people
10% of the people

Answers

Seventy-five percent of the land in Venezuela is owned by: 2% of the people.
answer: 2% of the people

coefficient: The number in BLANK of the variable within the BLANK BLANK

Answers

The blank spaces of the statement coefficient: The number in BLANK of the variable within the BLANK BLANK are, front, addition, subtraction.

What are coefficients and like terms?

A quantity or number that is combined with a variable is known as a coefficient. The variable is often multiplied by an integer, which is then printed next to it.

Terms that have the same variables raised to the same power are referred to as like terms. The only difference is in the numerical coefficients.

We know a coefficient is a constant value combined with a variable.

For example, In 7x the coefficient of x is 7.

Given, A fill-in-the-blank statement,

coefficient: The number in BLANK of the variable within the BLANK BLANK.

Therefore,

coefficient: The number in front of the variable within the addition subtraction.

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Find the sum of the complex numbers.
(3 + 3i) + (8 + 7i)

Answers

Answer:

21i² + 45i + 24

Step-by-step explanation:

Answer:

-5-4i

Step-by-step explanation:

Find all the zeroes of the equation.
x4-6x2-7x-6 = 0

Answers

Zeros of the given equation are {-2, 3, (-1±i√3)/2}

Solution:-

As the last term is -6 then, ± 2 , ±3 are possible zeroes.

Try 2:-

[tex]2^4-6*(2)^2-7*2-6=-28[/tex] so  2 is not a zero.

Try 3:-

[tex]3^4-6*(3)^2-7*3-6=0[/tex]  so 3 is a zero.

[tex](-2)^4-6*(-2)^2-7*(-2)-6=0[/tex]  so -2 is also a zero.

Divide the function by (x +2)(x - 3),  that is  [tex]x^2 - x - 6[/tex]

gives  [tex]x^2 + x + 1[/tex]

[tex]x^2 + x + 1[/tex]

So we have [tex]x^2 + x + 1 = 0[/tex]

[tex]x = [-1 +\sqrt{1^1 - 4*1*1}] / 2[/tex]

= -1 + √(-3) / 2 , - 1 - √(-3)  / 2.

= -0.5 + 0.866i, -0.5 - 0.866i

What are math roots?

In mathematics, the number that results in the original number when multiplied by itself is called the root.

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The function is represented by a set of ordered pairs.
{(1,2), (-3,4), (3, 3), (0, -9)}
What is the range of this function?
O {1, - 3, 3, 0]
O {3, 1, 6, – 9)
O {2, 4, 3, -9)
O {1, 2, - 3, 3, 3, 0, -9}

Answers

Answer:

[tex]Range: \{2,4, 3, -9\}[/tex]

Step-by-step explanation:

Given

The ordered pairs

Required

The range of the function

The range of a function is represented as:

[tex]Range = \{y_1,y_2,y_3,,,y_n\}[/tex]

i.e. we only write out the y values.

So, the given ordered pairs can be represented as

[tex](x,y) = \{(1,2), (-3,4), (3, 3), (0, -9)\}[/tex]

So, we have:

[tex]Range= \{2,4, 3, -9\}[/tex]

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Which statement correctly identifies an asymptote of f (x) = StartFraction 16 x squared minus 35 Over x squared minus 5 EndFraction using limits?Because Limit of f (x) as x approaches plus-or-minus infinity = 7, the function has a vertical asymptote at x = 7.Because Limit of f (x) as x approaches plus-or-minus infinity = 7, the function has a horizontal asymptote at y = 7.Because Limit of f (x) as x approaches plus-or-minus infinity = 16, the function has a vertical asymptote at x = 16.Because Limit of f (x) as x approaches plus-or-minus infinity = 16, the function has a horizontal asymptote at y = 16. Please help! Ubehebe crater in death Valley has a diameter of a little more than 1/2 a mile. If Latisha walks around its rim at a rate of 2 mph, about how long will it take her to walk all the way around the crater? Round your answer to the nearest tenth. Use 3.14 for pi. A naval navigator is using sonar to look for sunken cargo. The waves he is using have a frequency of 120kHz and a wavelength of 3 mm. How far away is the cargo if the sound wave is emitted at exactly 9:24 a.m.and returns to hit the ship's sensor 3 seconds later?Answer should be in meters 1. Which of the following is not a microorganism, but helps bread rise in baking? Yoghurt Yeast Bicarbonate of soda Salt Plz help me with this worksheet, I will give brainliest Use a net to find the surface area of the cereal box What are the 5 trends changing the world of work? If a student deposits $1,500 in the bank and earns an annual interest rate of 8%,how much will he have after 15 years? (Hint: y = ab) Read the passage. Bee Stings: The Aftermath You don't have to have a life-threatening allergy to have a negative response to bee stings. Many people experience uncomfortable itching and swelling when stung. But are such reactions merely an annoyance, or might they serve a purpose? Several years ago, researchers who study the immune system wanted to find out. To do this, they injected a group of mice with bee venom. Some of the mice had allergic reactions (such as swelling) to the venom, and others did not. Three weeks later, the researchers injected the same mice with venom for a second timethis time with a dose so large it could be deadly. They found that the mice who had previously had allergic reactions to the venom were much more likely to survive the potentially lethal dose. What is the main idea of the passage?Researchers found that allergic reactions to bee venom can be as mild as swelling or as severe as death.Researchers found that mild allergic reactions may help prevent severe reactions to the same allergin in the future.Researchers found that bee venom courses allergic reaction in some mice but not others. What is it called when natural selection favors a certain trait?A. directional selectionB. the wrong directionC. natural selectionD. one direction when you multiply or divide a negative and a negative integer the product will be ? positive or negative? The data below shows the survey result of 75 randomly selected students.The school has 1,138 students total. Based on the results of the poll, how many of the school's students should be expected to travel by car? Round your answer to the nearest whole number.Show your work using the sketch board OR you may insert an image of your work on the following slide. A car rental company charges a daily fee of $12.95 on all rental cars.What is the cost for 3 days?A$25.90B$36.75$38.85D$45.23 Jada earns $7 dollars per hour mowing her neighbors lawns. Name the two quantities in Jadas situation that are in a functional relationship. Which did you choose to be the independent variable? What is the variable Please help Ill mark brainlest What is the purpose of the standard for judging art? To discourage artists from trying new things To tell the difference between visual and performing arts To make sure that all critics are looking at the same qualities To require artists to follow the established rules for their type of art find the perimeter of a figure Which is not an advantage of issuing bonds instead of common stocks:O Possible tax savingsO Theres no impact on the stockholder controlO Common shareholders may have their income increaseO The common stock earnings per share may be lowerO None of the above what's the time now? 1. What is purchasing power parity hypothesis? Is PPP realistic or not? Why?