A student is standing next to a vertical flagpole. The top of the student's shadow

coincides with the top of the flagpole's shadow as shown.

not to scale

The student is 62 inches tall. The student estimates that the distance from the flagpole

to the point where the student is standing is between 21 and 22 feet. The student also

estimates that the length of the student's shadow is between 7 and 7 feet.

Based on the given information, what are the least and greatest possible heights, in

feet, of the flagpole? Explain how you arrived at your answers.

Answer:

1430

Step-by-step explanation:

just do 1000x1.43 I think this is right but i might be wrong

Answer:

Step-by-step explanation:

Equation of a circle is

[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex] where (h,k) is the center and r is radius

#5 Radius 2, Center (4,-3)

[tex](x-4)^{2} +(y+3)^{2} =4[/tex]

#6 Radius 7, Center (-1,10)

[tex](x+1)^{2} +(y-10)^{2} =49[/tex]

Answer:

I would wish to be the brainliest, I would wish for more points, and i would wish for more people to answer my questions

Step-by-step explanation:

thats only for brainly though

Answer:

My three wishes would be:

1: Get all staright A's

2: the sickness that starts with C thats going around goes away forever

3: Have some cheesecake.

Step-by-step explanation:

Answer:

Answer:Option D will be your answer

Step-by-step explanation:

hope it helps you

have a great day ^-^

Answer:

6.4

Step-by-step explanation:

The distance between the point A and B is 12 inches which is the radius of the cone. Thus, The diameter of the cone will be 24 inches.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

A right circular cone is shown.

The base of the cone is a circle with the center at point A.

The Distance from point A to point C is 16 inches.

The distance from point C to point B is 20 inches.

[tex]|BC|^2 = |AB|^2 + |AC|^2 \\\\|20|^2 = |AB|^2 + |16|^2 \\\\AB = \sqrt{400 - 256}\\\\AB = \sqrt{144} \\\\AB = 12[/tex]

Therefore, the distance between the point A and B is 12 inches which is the radius of the cone.

Thus, The diameter of the cone will be 24 inches.

Learn more about Pythagoras' theorem here:

https://brainly.com/question/12105522

#SPJ2

Answer:

The diameter is related because it helps find the circumference.

Answer:

£0.35 more per hour.

Step-by-step explanation:

Jenny:

30h = £318

1h = £318 ÷ 30

  = £10.60

Calvin:

28h = £287

1h = £287 ÷ 28

  = £10.25

Difference:

£10.60 - £10.25 = £0.35

Hope this helps

Answer: Because it goes through the origin and the line is straight but there is still the empty space between the 4 and 6

Step-by-step explanation:

Answer:

you put the 3 and the 1 on the graph a you get your answer

Step-by-step explanation:

Answer:

?

Answer · 0 votes

To write fractions with a common denominator, you will most likely need to scale some numbers up! I will explain how. Let's try it with the fractions 23 and 312 12 is larger than 3, so we will have to multiply the 3 by some number to equal 12. (We are really finding the Least Common Multiple of the two denominators!) To do this, you have to multiply the 3 by 4, because 3x4=12. But now the numerator doesn't match the denominator. When you scale the denominator up, you have to scale the numerator up too! So the 2 must be multiplied by 4 also. Now you have the following: 812 and 312 These fractions now have common denominators! Now they're all set for adding or subtracting fractions. Try another: 26 and 35: The least common multiple of 6 and 5 is 30. (the product of the denominators) Transform each fraction by multiplying by "1": 26⋅55 = 1030 and 35⋅66 = 1830 One last problem: 49 and 76 What is the least common multiple of 9 and 6? Could you use 54? Absolutely, but it is not the L…

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Brainly.com

Question

1.What’s the least common multiple (LCM) for each group of numbers? a. 6 and 15 b. 4 and 11 c. 6, 9, and 12 d. 8, 10, and 20 2.What’s the least common denominator (LCD) for each group of fractions? a. 1⁄6 and 7⁄8 b. 3⁄4 and 7⁄10 c. 7⁄12, 3⁄8 and 11⁄36 d. 8⁄15, 11⁄30 and 3⁄5 3.Insert the “equal” sign or the “not equal” sign ( = or ≠) to make each statement true. a. 18/36 _____ 1/2 b. 13/15 _____ 7/10 c. 3/5 _____ 5/9 d. 3/8 _____ 10/16 4.On a hot summer day, John drank 5⁄11 of a quart of iced tea; Gary drank 7⁄10 of a quart; and Carter drank 3⁄5 of a quart. Which man was the most thirsty? 5.What’s the largest fraction in each group? a. 5⁄6 and 29⁄36 b. 5⁄12 and 3⁄8 c. 2⁄5 and 19⁄45 d. 5⁄7, 13⁄14, and 19⁄21 e. 7⁄11 and 9⁄121 f. 1⁄2, 3⁄18, and 4⁄9 6.Reduce each of the following fractions to its simplest form. a. 12⁄18 b. 48⁄54 c. 27⁄90 d. 63⁄77 e. 24⁄32 f. 73⁄365 7.What is the next fraction in each of the following patterns? a. 1⁄40, 4⁄40, 9⁄40, 16⁄40, 25⁄40 . . .? b. 3⁄101, 4⁄101, 7⁄101, 11⁄101, 18⁄101, 29⁄101. . .? c. 5⁄1, 10⁄2, 9⁄2, 18⁄4, 17⁄8, 34⁄32, 33⁄256. . .? 8.In each pair, tell if the fractions are equal by using cross multiplication. a. 5⁄30 and 1⁄6 b. 4⁄12 and 21⁄60 c. 17⁄34 and 41⁄82 d. 6⁄9 and 25⁄36 9.This year, a baseball player made 92 hits out of 564 times at bat. Another player made 84 hits out of 634 times at bat. Did the two players have the same batting average? 10.On a test with 80 questions, Bob got 60 correct. On another test with 100 questions, he got 75 correct. Did Bob get the same score on both tests? 11.Find the missing numerators in each of the following problems. a. 10⁄15 = ⁄60 b. ⁄108 = 4⁄9 c. 7⁄11 = ⁄121 d. ⁄144 = 2⁄6 12.This handy application of LCMs is used by astronomers. All the planets in our solar system revolve around the sun. The planets occasionally line up together in their journeys, as shown in the illustration. The chart shows the time it takes each planet to make one trip around the sun. Now, imagine that the planets Earth, Mars, Jupiter, Saturn, Uranus, and Neptune aligned last night. How many years will pass before this happens again? (Hint—Find the LCM of the planets’ revolution times.) Solar System Planet Revolution Time Earth 1 year Mars 2 years Jupiter 12 years Saturn 30 years Uranus 84 years Neptune 165 years

Answer · 15 votes

1. a. 30b. 44c. 36d. 402. I don't really remember how to do these but if you cant make the denominator smaller then I belive it's a. 24b. 20c. 4d. 53.a. =b. not =c. not =d. not =4. Gary5. a. 5/6b. 5/12c. 19/45d. 13/14e. 7/11f. 1/26.a. 2/3b. 8/9c. 3/10d. 9/11e. 3/4f. 1/57.a. 36/40b. c. 8.a. yesb. noc. nod. no9. no10. yes11. a. 40b. 48c. 77d. 4812. 4,620

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Wyzant

Question

what is the common denominator for 3/4 and 2/5

Answer · 0 votes

Hi Elikem! To find the common denominator. First check to see if one of the numbers is divisible by the other. In this case 4 is not divisible by 5 and 5 is not divisible by 4. So the next step is to find the common multiple. You do this by writing out the multiples of each. 4 8 12 16 20 24 28 5 10 15 20 25 When you find a common multiple, in this case 20, you have found the common denominator. Hope this helps!I am available for online tutoring for $35 per hour sessions.

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Brainly.ph

Question

What is the least common denominator of 2/6 and 5/12​

Answer · 3 votes

Answer:12Step-by-step explanation:Rewriting input as fractions if necessary: 2/6, 5/12 For the denominators (6, 12) the least common multiple (LCM) is 12. Therefore, the least common denominator (LCD) is 12. Calculations to rewrite the original inputs as equivalent fractions with the LCD:2/6 = 2/6 × 2/2 = 4/125/12 = 5/12 × 1/1 = 5/12

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People also ask

What is the LCM of 4/6 and 9?

What is the common denominator of 4 and 9?

What is the LCD of 4 and 6?

What is the lowest common denominator of 4 and 9?

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

snsnnsnsnnsnnnsn s s

Answer:

There are 66 gold coins in the jar

Step-by-step explanation:

Let the number of silver coins = X

Then the number of gold coins = 3X (as there are 1/3 number of silver coins as gold)

Total coins =88

Total coins = silver coins + gold coins

Total coins = X + 3X = 88

Total coins = 4X = 88

X = 88/4

X = 22

No. Of silver coins = 22

No. Of gold coins  = 3X = 3×22

No. Of gold coins = 3X= 66

Check

Total coins = 3X + X = 88

66+22 = 88

88 = 88

Hope it helps...

Have a great day :P

Answer:

Hello There!!

Step-by-step explanation:

Let the number of silver coins be x and gold coins be 3x which add up to 4x. Make an expression and add 88 with 4x so 4x=88

x=22(88÷4).

So x=22[silver coins]

3x=66(22×3) [gold coins]

hope this helps,have a great day!!

~Pinky~

Answer:

r = 1

Step-by-step explanation:

Find the missing x-coordinate r.

Use the point-slope formula y - k = m(x - h).  We are given the point (-7, -1) on the line and the slope of the line 1/4, and so this general formula becomes

y + 1 = (1/4)(x + 7)

Now substitute the coordinates of the other point (r, 1) to solve for r:

1 + 1 = (1/4)(r + 7)

Multiplying both sides by 4 eliminates the fractional coefficient:

8 = r + 7

It is readily apparent that r must be 1.

Check:  If r = 1, then (r, 1) becomes (1, 1).  use the point-slope formula again, this time to see if we are correctly predicting the r value 1:

y + 1 = (1/4)(x + 7)  becomes 1 + 1 = (1/4)(r + 7), or

2 = (1/4)(r + 7).  Multiplying both sides by 4, we get 8 = r + 7, and so r = 1.

Answer:A unit rate is a comparison of two measurements, one of which has a value of ... The unit scale on a map may read \begin{align*}\frac{1}{2}\ inch=100 ... A line 4 inches long would represent an actual line of 800 feet. Unit scales and proportions can be used to calculate actual distances from maps, drawings, ...

Step-by-step explanation:

Answer:

the answer is 6a

Step-by-step explanation:

-48/-8=6

a^2/a=a

combine 6 and a to get 6a.

hope it helped

Answer:

1/6

Step-by-step explanation:

3/18= 1/6. (y-y)/(x-x)

Answer:

y<-13/12

Step-by-step explanation:

12y<-8-5

12y<-13

Answer:

2

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 +b^2 = c^2  where a and b are the legs and c is the hypotenuse

a^2 + (2.1)^2 = (2.9)^2

a^2 +4.41=8.41

a^2 = 8.41-4.41

a^2 =4

Take the square root of each side

sqrt(a^2)=sqrt(4)

a=2

Answer:

m=3

Step-by-step explanation:

Answer: 3/1

Step-by-step explanation: If you look at the very start of the graph you see that the only time the ray touches the right angle of the line is a (1,3) and (0,0). Plugging that into the [tex]m=\frac{y2-y1}{x2-x1}[/tex]  you get [tex]\frac{3}{1}[/tex]  and turning that into a fraction you get 3 which is the slope.

Answer: The forest ranger closest to the fire is at a distance of 9.92 miles (nearest hundredth).

Draw a horizontal line AB of length 15 miles to represent the positions of the two forest rangers.

Point A is to the left and point B is to the right.

Complete triangle ABC so that m∠A = 41° and m∠B = 56°.

The point C represents the location of the fire.

Let x = length of BC. It is the shortest distance from the forest ranger B to the fire because BC is opposite the smaller angle of 41°.

Because the sum of angles in a triangle is 180°,

m∠C = 180° - (41° + 56°) = 83°.

From the Law of Sines,

x/sin(41) = 15/sin(83)

x = 15*[sin(41)/sin(83)] = 9.915 mi

Step-by-step explanation:

Draw a horizontal line AB of length 15 miles to represent the positions of the two forest rangers.

Point A is to the left and point B is to the right.

Complete triangle ABC so that m∠A = 41° and m∠B = 56°.

The point C represents the location of the fire.

Let x = length of BC. It is the shortest distance from the forest ranger B to the fire because BC is opposite the smaller angle of 41°.

Because the sum of angles in a triangle is 180°,

m∠C = 180° - (41° + 56°) = 83°.

From the Law of Sines,

x/sin(41) = 15/sin(83)

x = 15*[sin(41)/sin(83)] = 9.915 mi

It should be B correct me if I'm wrong but it should be B.

Answer:

15 heads out of 30

Step-by-step explanation:

The total number of possible sequences of coin flips can be determined by raising the number of outcomes, which is 2 for any coin (heads or tails), to the power of the number of times the coin is flipped, given by the question as 30. Therefore,  230  is the total number of different sequences for 30 coin flips.

We can use combinatorial math to find the number of sequences with exactly 15 heads, which is 30 choose 15 or  (3015) . The probability we are looking for will be the number of sequences with 15 heads divided by the total possible sequences.

Now we can express the whole probability in math notation, and calculate an answer (rounded to 4 decimal places):

(3015)230=1551175201073741824≈0.1445≈14.45%

15 heads out of 30 is the most likely outcome when flipping 30 coins, if you run the same calculation with 14 or 16 heads you will get two equal, but smaller probabilities, same with 13 and 17 heads, and so on. If you graphed all of the outcomes, you will find it follows a normal distribution, or Bell curve, with the outcome of 15 heads, located at the peak.

If the coin is tossed 30 times then the expected value of the tails to appear is 15 which means tails will appear 15 times.

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

The expected value and variance of X are:

[tex]E(X) = np\\[/tex]

You flip a coin 30 times then the expected value will be

The probability of getting tails is 0.5 then the expected value will be

[tex]E(X) = 0.5 \times 30\\\\E(X) = 15\\[/tex]

Learn more about binomial distribution here:

https://brainly.com/question/13609688

Answer:

(7,0) and (-3,0)

Step-by-step explanation:

Given the factors, we want to get the x-intercepts

All we have to do is to get the x values by equating the factors to zero

we have this as;

(x -7) = 0 and (x + 3) = 0

x = 7 and x = -3

The x-intercepts are;

(7,0) and (-3,0)

Step-by-step explanation:

x,y£R

x and y are element of real numbers

any number you set for x you get which is strictly greater than 2

Answer:

2-2x=y

Step-by-step explanation: