A flagpole casts a shadow that is 11 feet long. At the same time, a girl standing nearby who is 3 feet tall casts a shadow that is 2 feet long. How tall is the flagpole to the nearest foot?​

Answers

Answer 1
Set up the equation with variable x representing the height of the flag pole

X/11 = 3/2

Multiply the numerator in the first fraction by the denominator in the second (x times 2)

Now reverse this with the denominator in the first equation and the numerator in the second (11 times 3)

This gives us

2x = 33

Divide both sides by 2

X = 16.5

Rounded the the nearest foot: x = 17ft
Answer 2

Answer:

17 feet

Step-by-step explanation:

The two shadows are parallel lines and are part of similar triangles formed.

Corresponding sides of similar triangles have same ratio. Let the length of the flagpole be x.

Then we have ratios:

x/11 = 3/2x = 11*1.5x = 17 feet (rounded up)

Related Questions

Dory lives 2.5 miles from school. Jim lives 3.2 kilometers from school. Ely lives 2300 meters from school, and Chris lives 3000 yards from school. Which lists the students from closest to farthest from school? (1 mi = 1.61 km; 1 m = 1.09 yd; 1 km = 1000 m) *

Answers

Step-by-step explanation:

olum herşey ingilizce normal mi bu ağaağagagâ

PLSS PLSS HELP ME I REALLY DONT UNDERSTAND THIS

Answers

The answer is probably B = 45°

If you are making a cake for a work potluck, and the recipe calls for 2 cups of flour to serve 8 people, how many cups of flour will you need in order to make a large enough cake to serve 30 people?

Answers

Answer:-

7.5 cups of flour is required for 30 people

Step-by-step explanation:-

2 cups = 8 people

x cups = 30 people

[ Cross multiply ]

=> 2×30 = x × 8

=> (2 × 30)/8 = x

=> 60/8 = x

=> 7.5 cups = x

Thus, for 30 people 7.5 cups of flour is required.

Hope this helps you.

Can you help me with the income statement?

Answers

True geography thagahahahaa

Describe the difference between f(x) = 2 ^ x and f (x) = 0.5 (2) ^ x.

Answers

Answer:

compress vertically with factor of 0.5

Step-by-step explanation:

f (x) = 0.5 (2) ˣ : compress vertically from f(x) = 2ˣ by a factor of 0.5

Write an equation of the line that passes through the pair of points.
(0, – 4), (5, – 4)

Answers

Answer:

[tex]y = -4[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (0, -4)[/tex]

[tex](x_2,y_2) = (5, -4)[/tex]

Required

Determine the equation

First, calculate the slope using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{-4 - (-4)}{5 -0}[/tex]

[tex]m = \frac{-4 +4}{5}[/tex]

[tex]m = \frac{0}{5}[/tex]

[tex]m = 0[/tex]

The equation is then calculated using:

[tex]y = m(x -x_1) + y_2[/tex]

This gives:

[tex]y = 0(x - 0)-4[/tex]

[tex]y = 0-4[/tex]

[tex]y = -4[/tex]

if 3*2=12,3*5=24and 15-6=3then 16/2=?
a.4
b.6
c.8
d.12​

Answers

Answer:

16 divided by 2 equals C which is 8.

Step-by-step explanation:

Image is down below, pls answer

Answers

Answer:

67

6+7=13

76-67=9

Done!

please help me

please pleaseplease please please
I Please please please please please please please please please please please please please please please please

Answers

Answer:

Your answer is.....

In every big pieces there will be 3 * 1/3 pieces.

So total 12 of 1/3 pieces

Mark it as brainlist answer . follow me for more answer.

Step-by-step explanation:

Can anyone please show me how to do this?

Answers

Answer:

Answer and explanation below:

Step-by-step explanation:

The formula to convert radians to degrees is 180/pi

For A:π/8=180/π

Cross multiply

The pi's cross each other out and you're left with

1440 degrees as your answer

Hope this helps! :)

heres the clearer version

Answers

Answer:

The midpoint of FH is (3;1)

Step-by-step explanation:

Hey PLEASE HELP ME ASAP I BEG OF YOU I WILL GIVE U BRAINLEST.

Answers

Answer:

31333.75cm³

Step-by-step explanation:

Volume = πr²h

= 3.14 × (46.45/2)² × 18.5 = 31333.75cm³

Calculate the value of the error rounded to the nearest whole number for the multiplication of x and y:

Answers

Answer:

The answer is "15%".

Step-by-step explanation:

[tex]x = 26 \pm 6\% \\\\ y = 29 \pm 9\%\\\\z=x \times y \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Z=(x \pm &x \%)\times (y\pm &y \%)[/tex]

  [tex]= 26 \pm 6\% \times 29 \pm 9\%\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Z=xy \pm (&x+ &y)\%[/tex]

  [tex]=754 \pm 15\%\\\\[/tex]

[tex]15 \% \ \ error[/tex]

The ratio of Mollie’s age to Heather’s age is 4:9 Heather is 40 years older than Mollie
How old is Mollie?

Answers

Answer:

I believe it would be 90

Step-by-step explanation:

The required age of Mollie's is 32years and age of Heather's is 72years.

Given that,

The ratio of Mollie’s age to Heather’s age is 4:9,

Heather is 40 years older than Mollie.

We have to determine,

How old is Mollie.

According to the question,

The ratio of Mollie’s age to Heather’s age is 4:9,

The age of Mollie's = 4x

And age of Heather's = 9x

Then ,

The age of Mollie is calculated in the following steps.

The difference between the age of both is 40 years

Age of Heather's - Age of Mollie = Difference of their ages

Then,

[tex]= 9x-4x = 40\\\\= 5x = 40\\\\= x = \frac{40}{5} \\\\= x = 8[/tex]

The value of x is 8.

Therefore,

Age of Mollie's = 4x = (4).(8) = 32years

And Age of Heather's = 9x = (9).(8) = 72years

Hence, The required age of Mollie's is 32years and age of Heather's is 72years.

For more information about linear equation click the link given below.

https://brainly.com/question/11897796

A student investigates force and motion. She measures the mass of four wood blocks and places the blocks on a smooth surface. She will push each block with an equal amount of force and measure how far each moves with a ruler. Then, she will place the blocks in order based on how far they move when pushed. Which best predicts her results in order, from the block that moves the farthest to the block that moves the least?



Block Mass (g)
1 45
2 25
3 35
4

Answers

Answer:

4, 2, 3, 1

Step-by-step explanation:

Blocks that weigh heavier won't go as far because friction will get to much and the weight and air resistance is bigger on a bigger block, therefore it would slow to a stop further behind te lesser weight ones

I hope you are having a lovely day.

I would really appreciate brainliest it would make me sooo happy :)

Whats is the slope of line that is perpendicular to the line y= -9x + 7

Answers

Answer: 1/9

Step-by-step explanation:

The slope of this line is -9. The slope of the perpendicular line is the opposite reciprocal. The reciprocal of -9 is -1/9, the opposite of that is 1/9

The curve y=ax2+bx+c passes through (2,5) (3,12) and (-1,-4).find the equation of the curve

Answers

Explanation:

You want to first to substitute to form 3 equations.

5=4a+2b+c

12=9a+3b+c

-4=a-b+c

Now solve with whatever way you fell comfortable, I'm going to use elimination.

First eliminate c

7=5a+b

16=8a+4b --> 4=2a+b

Then I'll eliminate b,

3=3a

a=1

Now solve for b and c

7=5+b

b=2

1-2+c=-4

c=-3

Now for the equation:

y=x^2+2b-3

Hope this helps!

Solve this system by substitution​

Answers

This is what I got. (-17/3,1) looks like weird number but I think I did it right.

How are the triangles similar PLEASEEE HELPPPPPPP

Answers

Answer:

AA similarity postulate

Hope this helps you. Do mark me as brainly.

Evaluate the following expression for b = -10.
2 (b - 5) + 4

Answers

Answer:

−26 and (−1)×2×13=-26

Step-by-step explanation:

2(−10−5)+4

Subtract 5 from −10 to get −15.

2(−15)+4

Multiply 2 and −15 to get −30.

−30+4

Add −30 and 4 to get −26.

−26

Answer:

-26

Step-by-step explanation:

We substitute b for -10, so 2 ((-10) - 5) + 4

Using PEMDAS, we do the parenthesis first: 2 ((-10) - 5) + 4 = 2 (-15) + 4

Then we multiply: 2 (-15) + 4 = (-30) + 4

And finally, we add: (-30) + 4 = -26

-2(4 - 0) = 12x – 3
How is this solved

Answers

Answer:  x  =  − 5  12

Step-by-step explanation: yeetus

x = -5/12
OR
x = -0.416 (6 repeating)

isolate the variable by dividing each side by factors that don’t contain the variable

A rectangle is 3 meters wide and 10
meters long. How long is the diagonal
of the rectangle?

Answers

a^2 + b^2 = c^2

A-15.1

B-13

Answer:

Diagonal = 10.44 m

Step-by-step explanation:

(3×3)+(10×10) = 109

Sq rt 109 = 10.44 m

Which relationships describe angles 1 and 2?

Select all correct answers.


A. adjacent angles

B. complementary angles

C. supplementary angles

D. vertical angles

Answers

Answer:

A, B

Step-by-step explanation:

C supplementary angels

Find the probability.
There are three nickels, four dimes, and five quarters in your pocket. You randomly pick
a coin. It is a nickel or a dime.

Answers

Answer:

0.583

Step-by-step explanation:

You have a total of 12 coins in your pockets (3 nickels + 4 dimes + 5 quarters).

There are 7 nickels/dimes (3 + 4), meaning you have a 7/12 chance of picking either a nickel or a dime.

7/12 simplifies to 0.583.

You have a 0.583% chance of picking either a nickel or a dime.

Is negative 6 a rational number

Answers

Yes, 6 is a rational number because it can be expressed as the quotient of two integers

Yes,  negative 6 a rational number because it can be represented as a fraction of two integers.

A rational number is a number that can be expressed as a fraction of two integers, where the denominator is not zero.

It is any number that can be written in the form "a/b," where "a" and "b" are integers and "b" is not equal to zero.

The number -6 can be expressed as -6/1.

Here, -6 is the numerator and 1 is the denominator.

Both the numerator and denominator are integers, and the denominator is not zero.

Therefore, -6 can be represented as a fraction of two integers and meets the definition of a rational number.

To learn more on Number system click:

https://brainly.com/question/1763119

#SPJ6

write a function of least degree to model this graph with the final answer in factored form.

Answers

Answer 1 maybe

Step-by-step explanati

2(a - 4) + 15 = 13
Please help

Answers

Answer:

a=3

Step-by-step explanation:

Answer:

a = 3

Step-by-step explanation:

WHAT ARE
THE common FACTORS of 4 and 8​

Answers

Hello!

Answer:

4- 8, 12, 16, 20, 24 ect keep adding 4

8- 16, 24, 32, 40, 48 ect keep adding 8

Step-by-step explanation:

both- 16, 24, 40, 48

Hope this helps have a good day! <3

Plz mark brainliest when u get the chance!

i need help with this problem down below

Answers

Answer:

[tex] y = 4 [/tex]

Step-by-step explanation:

Given:

[tex] y = \frac{7x + 1}{3x - 6} [/tex],

To find the value of y, let's find x by solving 3x = 15.

3x = 15

Divide both sides by 3

x = 15/3

x = 5

Plug in the value of x into [tex] y = \frac{7x + 1}{3x - 6} [/tex]

[tex] y = \frac{7(5) + 1}{3(5) - 6} [/tex]

[tex] y = \frac{35 + 1}{15 - 6} [/tex]

[tex] y = \frac{36}{9} [/tex]

[tex] y = 4 [/tex]

Find an explicit formula for the geometric sequence -1,-7,-49,-343,.... Note : the first term should be d(1) . d(n) =

Answers

Answer:

dn = -7^n-1

Step-by-step explanation:

Given the sequence -1,-7,-49,-343,....

We are to find the nth term of the sequence

dn = ar^n-1

a is the first term = -1

r is the common ration = -7/-1 = -49/-7 = 7

n is the number of terms

Substitute

dn = -1(7)^n-1

dn = -7^n-1

hence the nth term of the sequence is dn = -7^n-1

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