Colorado State Flag (7. 4. A. 1. 4)


Illustrative Mathematics


1. 4: Colorado State Flag


The side lengths of the state flag of Colorado are in the ratio 2:3. If a flag is 12 feet long, what is its height?

Answers

Answer 1

The height of the flag is 18 feets.

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees.

Length is equal to 2 (2 + 3) the sum of the side lengths.

The sum of side length divided by (12) equals (2/5)

12 = 0.4(sum of side length) (sum of side length)

divide both sides by 0.4.

The height of the flag is calculated as side lengths plus length.

Height of flag: (30 – 12) = 18 feet

Therefore, the height of the flag is 18 feets.

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Related Questions

Multiple Choice

2. Match the graph to the table of values.
The first quadrant of a coordinate plane is shown with four plotted points.The x-axis is titled 'Time in seconds,' and the y-axis is titled 'Height in meters.' The four points resemble a layout similar to a checkmark with the first point located slightly higher than the second point. The second, third, and fourth points follow a linear pattern with a positive slope.
A.
Time (s) Height (m)
1

5

2

10

3

15

4

20

B.
Time (s) Height (m)
1

2

2

3

3

5

4

9

C.
Time (s) Height (m)
1

4

2

3

3

5

4

7
Multiple Choice

Match the graph to the table of values.
The first quadrant of a coordinate plane is shown with four plotted points. The x-axis is titled 'Time in seconds,' and the y-axis is titled 'Height in meters.' The four points start in the lower left corner of the first quadrant and follow a linear pattern with a positive slope.

A.
Time (s) Height (m)
1

5

2

10

3

15

4

20

B.
Time (s) Height (m)
1

2

2

3

3

5

4

9

C.
Time (s) Height (m)
1

4

2

3

3

5

4

7

100 POINTS FOR ANSWERS AND EXPLANATION! PLS I NEED HELP ASAP! Thanks!

Answers

Answer:

Step-by-step explanation:

Choice A: t=1, h=5; t=2, h=10

Choice B: t=1, h=2; t=2, h=3

Choice C: t=1, h=4; t=2, h=3

ans is C as it fits the descriptions

Choice A: t=1, h=5; t=2, h=10; t=3, h=15

Choice B: t=1, h=2; t=2, h=3; t=3, h=5  <== non-linear

Choice C: t=1, h=4; t=2, h=3; t=3, h=5 <== non-linear

ans is A as it fits the descriptions

How do you write 5.3 * 104 in standard form?

Answers

Multiply 5.3 by 104.

Answer: 551.2

The volume of a cylinder is 60 cubic centimeters. What is the number of cubic centimeters in the volume of the sphere it circumscribes

Answers

Call the radius of the cylinder and sphere, r And the height  of the cylinder  = 2r

How to Calculate Volume in Cubic Centimeters?Calculating volume is just another way of saying that you're measuring the amount of space inside a three-dimensional object. You can use standardized formulas for calculating the volume of shapes like cubes, cylinders and spheres, as long as you know their basic measurements.So60  =  pi * r^2 * 2r30 =  pi * r^330/pi  =  r^3[30/pi]^1/3  =  rSo...the volume of the sphere is(4/3)pi [ (30/pi)^1/3 ]^3  =(4/3) pi * 30/pi  =40 cm^3A cubic centimetre (or cubic centimeter in US English) (SI unit symbol: cm3; non-SI abbreviations: cc and ccm) is a commonly used unit of volume that corresponds to the volume of a cube that measures 1 cm × 1 cm × 1 cm. One cubic centimetre corresponds to a volume of one millilitre.How to Work out Volume with Cubic Centimetres. If a container was filled with water and it had a length of 20 cm, a height of 5 cm and a depth of 4 cm to work out the volume of water you would need to multiply all 3 numbers together. 20 cm x 5 cm x 4 cm = 400 cm³

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Pls help will give brainlest if it’s right

Answers

The answer is Public Service

Solve for x. Round your answer to the nearest tenth if necessary. NO SCAMS OR LINKS PLEASE!!!!!! ANSWER IS NOT 14.1 ​

Answers

Answer:

[tex]\boxed {\boxed {\sf x\approx 7.3}}[/tex]

Step-by-step explanation:

The triangle has a small square in the corner representing a 90 degree angle. This is a right triangle so we can use the Pythagorean Theorem to solve for the sides.

[tex]a^2+b^2=c^2[/tex]

In this equation, a and b are the legs and c is the hypotenuse.

x and 8.5 are the legs because they make up the right angle. 11.2 is the hypotenuse because it is opposite the right angle.

a= xb=8.5 c=11.2

Substitute the values into the formula.

[tex]x^2+(8.5)^2=(11.2)^2[/tex]

Solve the exponents.

(8.5)²= 8.5*8.5= 72.25 (11.2)²= 11.2*11.2= 125.44

[tex]x^2+72.25 =125.44[/tex]

Solve for x by isolating the variable. 72.25 is being added, so we subtract 72.25 from both sides because subtraction is the inverse operation of addition.

[tex]x^2+72.25-72.25 = 125.44-72.25[/tex]

[tex]x^2=125.44-72.25[/tex]

[tex]x^2=53.19[/tex]

x is being squared, so we take the square root of both sides.

[tex]\sqrt{x^2}=\sqrt {53.19}[/tex]

[tex]x=\sqrt{53.19[/tex]

[tex]x=7.29314746869[/tex]

Round to the nearest tenth. The 9 in the hundredth place tells us to round the 2 up to a 3.

[tex]x \approx 7.3[/tex]

The unknown side, x, is approximately 7.3

(I NEED THIS RIGHT AWAY!) (PLS HELP) Lynette earns $5 by delivering newspapers. She saves $3 and she spends the rest. If she saved $27 one month, how much did she spend?

Answers

Answer:

$18

Step-by-step explanation:

To find how many times she has saved money, you would do 27/3=9. This means that she worked 9 times. Since she worked 9 times, she earned $45 in total. To find how much she saved you would do 45-27=$18

Please help me on this

Answers

Answer:

1. a

2. d

3. none of the above - correct answer is root 133. there has to be a typo I think. if they force you to choose do C.

Step-by-step explanation:

A,B,C1,2,3

BRAINLIST??

Emily invested $2,000 in an account at a 3.5% interest rate. She kept the money in her account for four years. Determine, to the nearest dollar, the balance in the account after four years.

Answers

Answer:

$280

Step-by-step explanation:

$2000 * 3.5% * 4 = $8000 * 0.035 = $280

2000 x .035 = 70, 4 years= 4 times so 70 x 4
=280
Now Emily has invested 2000 so she started with 2000 plus the interest rates her account made
Final answer = 2280

The rectangular prism has a volume ar 936 cubic inches Find the missing dimension of the prism​

Answers

I would say the length might be 13 the width will be 9 and the height will be 8 cause:13 x 9 x 8= 936 cubic inches have a nice day

Simplify to create an equivalent expression.
−2(−5n+6)+5(2−7n)
plz help UwU

Answers

Answer:

D -25n-2

zbsbbwjavabwbwhvwjqv17w7wfw ggv s zg

MATH PLEASE HELP ME WITH THIS.

Answers

Answer:

#1 multiply

#2 divide

#3 subtract

#4 subtract

#5 divide

solve for x and graph the solution on the number line below 7+x<16

Answers

Step-by-step explanation:

x<16-7x<11

.....................

You have an ant farm with 22 ants . The population of ants in your farm will double every 3 months

Answers

The number of ants in 6 months will be 88 ants.

How to calculate the value?

The word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

In this situation, in an ant farm with 22 ants and the population of ants in your farm will double every 3 months.

The number of ants in 6 months will be:

= 22 × (6/3)²

= 22 × 2²

= 88 ants

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Complete question

You have an ant farm with 22 ants . The population of ants in your farm will double every 3 months. What is the number of ants in 6 months.

Making connections between arithmetic sequences and linear function


Use the graph or the formula to write the equation of the line in a slope intercept form

Answers

On solving the provided question, we can say that -  here in graph we have on solving equation [tex]x^2+ 3y^2 \\[/tex]  =  [tex]4+3 = 7[/tex]

What is equation?

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here-

from graph, x= 2

y = 1

[tex]x^2+ 3y^2 \\[/tex]

[tex]4+3 = 7[/tex]

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What is the domain of the function y=5√6−2x​

Answers

The domain is all values of x that makes the expression defined.

Set-Builder Notation: {x| x ≤ 3 }

Interval Notation: (-∞,3]

What is the domain of the given function?

Given the function in the question;

y = 5√(6−2x)​

To find the domain, set the radicand greater than or equal zero and solve for x.

6 - 2x ≥ 0

Subtract 6 from both sides

6 - 6- 2x ≥ 0 - 6

-2x ≥ -6

Divide both sides by -2

-2x/-2 ≤ -6/-2

x ≤ -6/-2

x ≤ 3

Therefore, the domain is;

Set-Builder Notation: {x| x ≤ 3 }

Interval Notation: (-∞,3]

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Help, what are the answers to these angles? This is due by the end of today.

Answers

Answer:

1. 128

2. 136

3. 128

4. 52

5. 44

6. 146

7. 84

8. 96

9. 96

10. 84

11.  128

12. 52

13. 44

14. 136

15. 52

16. 128

17. 136

18. 44

Step-by-step explanation:

PICTURES BELOW!!! PLEASE HELP!! XTRA POINTS TO CORRECT ANSWER!!!
Which graph best represents the solution to the system of equations shown below? (5 points)

y = −2x + 14
y = 2x + 2

Answers

Answer:

The second graph

Step-by-step explanation:

take x = 3 for instance, we can see that on the graph both lines intersect on y = 8

if we try it with our equations:

-2 * 3 + 14 = 8

2 * 3 + 2 = 8

Hope thi helps, please give brainliest thanks

If you thanks my answers I will give brainliest and thanks back

Answers

Answer:

deal

Step-by-step explanation:

Answer: for real. I give you a thanks in your answer I will give you more please give me a Brainliest I really needed it :D

Step-by-step explanation:

2: Si je cours à 12 km/h, en combien de minutes est-ce que je parcours 1 km ?​

Answers

Answer: cinq minutes

Step-by-step explanation: 1h est egalle à 60minutes. Alors I'll a couru 12km Dan's 60minute. La duration pour 1km sera 60÷12=5 minutes

Use point-slope form to find the equation of the line with a slope of -3 that passes through the point (-1,0)? Express your answer in slope-intercept form.​

Answers

Answer:

y = -3x - 3

Step-by-step explanation:

y = -3x + b

0 = -3(-1) + b

0 = 3 + b

-3 = b

y = -3x - 3

Natalia paid $38.95 for three medium-sized pizzas and a salad. If Natalia paid $11.98 for the salad, how much did each pizza cost? Enter your answer in the box.

Answers

Answer:

$8.99

Step-by-step explanation:

Find the least common denominator for the following fractions: 4/8 and 3/14

Answers

Answer:

Least Common Denominator for the following fraction is 2

Hope this helps, have a great day!

Answer:

the answer is 56 (pls think)

If $x$ is a positive multiple of 8 and $x^2>100$, but $x<20$, what is $x$?

Answers

Answer:

16

Step-by-step explanation:

16 is a positive multiple of 8, in which 16²=256>100 and 16<20 are true statements.

Answer:

[tex]$x=\boxed{16}$[/tex]

Step-by-step explanation:

Since $x$ is a positive multiple of 8, it must be at least 8. Since $x^2>100$ and $x$ is at least 8, the only solution is $x=16$.

To verify this, note that $x=8$ does not satisfy the inequality $x^2>100$, but $x=16$ does, so $x=16$ is the only solution that works.

Therefore, $x=\boxed{16}$.

Are the following statements true or false? Justify your answers. Complete parts (a) through (c) below. (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.) (a) In statistics, results are always reported with 100 % certainty. Choose the correct answer below A. False. In statistics, results are always reported with 100 % certainty only when discrete variables are measured. Results cannot be reported with 100 % certainty when continuous variables are measured. B. True. Statistics is the science of collecting, organizing, summarizing, and analyzing information to draw conclusions or answer questions. Since it is a science, results are always reported with 100 % certainty. C. True. Statistics would not be useful if they were not presented with 100 % certainty . Statistics is a form of mathematics, which means that as long as correct procedures are used, all results must be correct. D. False. In statistics, results are not reported with 100% certainty. Because statistical studies draw on samples, and because there is variation within groups, results cannot be reported with 100 % certainty.

Answers

The correct option that tests the given claim on statistics is; D. False. In statistics, results are not reported with 100% certainty. Because statistical studies draw on samples, and because there is variation within groups, results cannot be reported with 100 % certainty.

How to interpret the conclusion of a statistics research?

Statistical research is defined as the rigorous development of improved or new statistical methods grounded in probability and statistical theory.

Statistical data analysis is basically a procedure that is used to perform various statistical operations.

Now, from the question, the claim is that In statistics, results are always reported with 100 % certainty.

Now, this claim needs to be examined because there is no perfect human being and as such since statistics is drawn from a lot of samples and groups, there is guaranteed to be some form of variability in responses or results as the case may be.

Therefore, we can say that is option D.

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Please help!!!! I'LL GIVE 5 STAR RATING AND A THANKS

Answers

Answer:

9.1

Step-by-step explanation:

For the first one, I just multiplied 4.55 and 0.5 by 2 somthey are proportional. Or divide distance by time!

Triangle GHI is similar to triangle JKL. Find the measure of side JK. Round your answer to the nearest tenth!

Answers

Given: Two triangle AGHI AJKL.

To find: measure of side JK and round the answer nearest tenth.

Solution: from figure

IH=5, GH=8,LK=16 from similarity rule

IH/LK=GH/JK

5/16 = 8/x

⇒5x=16x8

x=16×8/5

⇒x=25.6 or

x= 26 (nearest tenth), this is side JK

Definition of Triangle

A triangle is a type of polygon, which has three sides, and the two sides are joined end to end is called the vertex of the triangle. An angle is formed between two sides. This is one of the important parts of geometry.

Some major concepts, such as Pythagoras theorem and trigonometry, are dependent on triangle properties. A triangle has different types based on its angles and sides.

Shape of Triangle

Triangle is a closed two-dimensional shape. It is a three-sided polygon. All sides are made of straight lines. The point where two straight lines join is the vertex. Hence, the triangle has three vertices. Each vertex forms an angle.

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write the ratio of 14 and 18 in its lowest terms

Answers

Answer:

the correct answer is 7 and 9

Answer:

7 and 9

Step-by-step explanation:

14 ÷ 2 and 18÷ 2

= 7 and 9

3. At the grocery store, three flavors of Cheerios are sold.

Flavor A is 20 ounces and costs $4.49. The unit rate is ------------- per ounce.

For Flavor B, the equation y = 0.20x represents the cost (y) per ounce (x) in each box. The unit rate is------------------------ per ounce.
For Flavor C, the table below shows the amount paid per ounce. The unit rate is ---------------------- per ounce
Ray is making bouquets of balloons. In each bouquet 2 out of every 5 balloons are red. Write an equation to help Ray determine how many red balloons are needed compared to the the total number of balloons used.

7. Let x represent the number of balloons used compared to y which is the number of red balloons.
10.
Review the keywords below. Find at least 2 words commonly used for "Rate of Change". Drag and Drop them to the box for "Rate of Change" to earn full credit.

Answers

The unit rate of flavor A is; $0.2245 per ounce

The unit rate of flavor B is; $0.20 per ounce

An equation to help Ray determine how many red balloons are needed compared to the the total number of balloons used is; y = ²/₅x

How to find the unit rate?

A unit rate is also called unit ratio and it describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.

We are given that Flavor A is 20 ounces and costs $4.49. Thus;

Unit rate of flavour A = $4.49/20 = $0.2245 per ounce

For Flavor B, the equation y = 0.20x represents the cost (y) per ounce (x) in each box. Thus, the unit rate is $0.20 per ounce

Since ray is making bouquets of balloons. In each bouquet 2 out of every 5 balloons are red.

If x is the number of ounces, then the unit rate is 2/5 . Thus, the equation is; y = ²/₅x

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Zasha spent $6 on packages of gum. How many more packages of gum that cost $1.20 each can she buy if she has a $20 bill?

Answers

Answer: Zasha spent $6 on packages of gum, which means that she bought 6 / $1.20 = 5 packages of gum.

If she has a $20 bill, she has $20 - $6 = $14 left to spend on gum.

Zasha can buy an additional 14 / $1.20 = 11.6666666666666666666666667 packages of gum with this money.

Rounded down, Zasha can buy an additional 11 packages of gum.

Therefore, Zasha can buy a total of 5 + 11 = 16 packages of gum.

Step-by-step explanation:

She can buy 16 packages
Step-by-step explanation:
mhm yes yes mayum :p

A population has a standard deviation x=18.4. How large a sample must be drawn so that a 98% confidence interval will have a margin of error equal to 4.1?

Answers

Answer:

"109" will be the appropriate response.

Step-by-step explanation:

The given values are:

Standard deviation,

[tex]\sigma=18.4[/tex]

Margin of error,

[tex]E = 4.1[/tex]

Using the table,

[tex]Z_{(\frac{0.02}{2} )}=2.326[/tex]

Now,

The sample size will be:

⇒  [tex]n=(\frac{Z_{(\frac{0.02}{2})\times \sigma}}{E} )^2[/tex]

On substituting the values, we get

⇒      [tex]=(\frac{2.326\times 18.4}{4.1} )^2[/tex]

⇒      [tex]=(\frac{42.7984}{4.1} )^2[/tex]

⇒      [tex]=(10.4386341)^2[/tex]

⇒      [tex]=109[/tex]

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