A pole that is 3.2 m tall casts a shadow that is 1.32 m long. At the same , a nearby tower casts a shadow that is 46.75 m long. How tall is the tower? Round your answer to the nearest meter.

Answers

Answer 1

Answer:

The tower is 113 meters.

Step-by-step explanation:

We are given a pole and a tower that both create a shadow.

Hence, the figures made are triangles.

If you draw the figure (attached to this response), you can see the two triangles are similar triangles.

⭐What are similar triangles?

two triangles whose corresponding side lengths are proportional and have the same shape

Strategycreate a proportion of the ratios of the corresponding side lengthssolve for the length of the towerCreate a ratio for the corresponding side lengths

The length of the height of the pole (3.2) corresponds to the length of the height of the tower (x).

The length of the shadow of the pole (1.32) corresponds to the length of the shadow of the tower (46.75).

Therefore, our two ratios are:

[tex]\frac{3.2}{x}[/tex] and [tex]\frac{1.32}{46.75}[/tex]

Create a proportion for the corresponding side lengths

A proportion is when you set two ratios equal to each other:

[tex]\frac{3.2}{x} = \frac{1.32}{46.75}[/tex]

Solve for the length of the tower (x)

To solve for x, cross multiply by multiplying the opposite parts of the fraction together.

[tex]\frac{3.2}{x} = \frac{1.32}{46.75}\\46.75(3.2) = 1.32x\\149.6 = 1.32x\\\\113 = x[/tex]

The tower is 113 meters tall!

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Related Questions

Find the product: 23 x 17 = ? OA. 161 OB: 184 OC. 371 OD:391​

Answers

Answer:

391

explanation:somehow it is 391. just somehow.

Which angle is supplementary to DBE?


A. DBC
B. DBA
C. EBH
D. BGH

Answers

It is B because angle DBA is supplementary to angle DBE because together they create a straight line which equals 180 degrees.

Can you please help me? I'll mark brainiest. NO LINKS!!!!!!!

Answers

Answer:

a

Step-by-step explanation:

What is the sum of 1.3 and –1.8?

Answers

Answer in explanation:

although there's an addition sign, you subtract the two because a

(+) + (-) = (-) subtract

[This is a general rule, writing down the "rules" for reference is a good way to help if your having trouble]

subtract to find your answer (you keep the sign of 1.8 because it's the larger number.)

1.3 + (-1.8) =

-0.5

-0.5 is your answer

Hope this is clear!

how do i ansew this q

Answers

The slope is $125 and the slope tells the annual due payment of $125.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take two points from the graph as (2, 400) and (4, 650)

Then, the slope of line is

slope, m = ( 650- 400) / ( 4- 2)

slope, m = 250 /2

slope , m = 125

Hence, the slope is 125.

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PLEASE HELP ME I AM BEING TIMED, I WILL GIVE BRAINLIEST TO WHOEVER GETS THIS RIGHT.

Answers

Answer:

24 mg find the whole area then subtract 16 boom!

Answer:

Cement = 20

Step-by-step explanation:

2x6=12

2x4=8

12+8=20

Find the area of the fairway between two streams on a golf course.



Area =

yd2



Question 2

Explain how the fairway could be separated into figures whose areas you can find using formulas.

You could separate the figure into a trapezoid and a _____

A. Triangle

B. Square


Please do a step by step explanation

Answers

Question 1

The area of the fairway between two streams on a golf course cannot be determined without additional details such as the dimensions or measurements of the fairway and the streams.

Question 2

A. Triangle

THE FAIRWAY

To find the area of the fairway, you could separate it into figures whose areas you can find using formulas.

Step 1: Draw a diagram of the fairway, including the two streams and any other relevant features such as bunkers or trees.

Step 2: Divide the fairway into two sections, one on either side of the streams.

Step 3: Measure the width and length of each section of the fairway.

Step 4: Use the formula for the area of a rectangle to find the area of each section. (Area = width x length)

Step 5: Add the areas of the two sections together to find the total area of the fairway between the two streams.

THE TRAPEZOID

The base of the trapezoid would be the width of the fairway and the width of the stream, and the height would be the distance between the fairway and the stream. The area of a trapezoid is (a+b)h÷2, where a and b are the lengths of the bases and h is the height. The triangle would be formed by the side of the trapezoid that is the distance between the fairway and the stream, and the width of the stream. The area of a triangle is base×height÷2.

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which shape has at least one pair of perpendicular sides

Answers

Answer:

In a square or other rectangle, all pairs of adjacent sides are perpendicular. A right trapezoid is a trapezoid that has two pairs of adjacent sides that are perpendicular. Each of the four maltitudes of a quadrilateral is a perpendicular to a side through the midpoint of the opposite side.

Step-by-step explanation:

Your sewing cabinet has compartment that hold 8 spools of thread each you have 50 spools of thread how many compartment can you fill

Answers

You can fill 6.25

(50/8 is 6.25)



6. Shenandoah's test scores were 70, 80, 80, and 90. What was his weighted average if the

tests were weighted 1, 3, 5, and 4, in that order?

Answers

The weighted average of Shenandoah's test scores is 82.3.

What is the weighted average?

To find a weighted average, multiply each number by its weight, then add the results. If the weights don't add up to one, find the sum of all the variables multiplied by their weight, then divide by the sum of the weights.

To calculate a weighted average, we need to multiply each score by its corresponding weight, and then add those products up and divide by the sum of all the weights.

To calculate a  non-weighted average such as a mean average, all we need to do is, sum up, the scores and divide this sum by the number of scores. For a weighted average, each score must have a frequency attached to it. This frequency is called specific weight.

So in this case,

Weighted average = (701 + 803 + 805 + 904) / (1+3+5+4) = (70 + 240 + 400 + 360) / 13 = 1070/13 = 82.3

Hence, The weighted average of Shenandoah's test scores is 82.3

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The data set represents the total number of tickets each person purchased for a play.
0,0,1,1,1,2,2,2,4,
What is the median of the daya?

Answers

Answer:

The median of the data is 1

Q4. Renna went on a journey that took 712 hours. The journey started at 22 48 on Monday. At what time and day did the journey finish?

Answers

Answer:

14:48 on wednesday

Step-by-step explanation:

divide 712 by 24 to get the total number of days. you should get 29.66666667. remember that 1/3 of a day is 8 hours, so you would have 16 hours left. you can subtract 2 hours from the 16 to add to the 22:48 to get it on an 12-hour period, which in this case would be midnight, and when you do this you need to add another day to the 29 you have. then you put the remaining 14 to the 00:48, giving you 14:48. to get the day she finished on, you should honestly do it on your fingers, counting out the days until you hit the 30th day, which should give you wednesday.

Roselle has 3 cups of popcorn and 6 oz of soda for a total of 162 calories. Carmel has 1 cup of popcorn and 11 oz of soda for a total of 162 calories. Determine the number of calories per cup of popcorn and per ounce of soda

Answers

The number of calories per cup of popcorn is 28 oz and the number of calories per ounce of soda is 14 oz.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Let the number of calories per cup of popcorn be x and the number of calories per ounce of soda be y.

Roselle has 3 cups of popcorn and 6 oz of soda for a total of 162 calories.

3x+6y=162 ------(I)

Carmel has 1 cup of popcorn and 11 oz of soda for a total of 162 calories.

x+11y=182

x=182-11y------(II)

Substitute equation (II) in equation (I), we have

3(182-11y)+6y=162

546-33y+6y=162

546-162-27y=0

384-27y=0

384=27y

y=384/27

y=14

Substitute y=14 in equation (II), we get

x=182-11(14)

x=28

Therefore, the number of calories per cup of popcorn is 28 oz and the number of calories per ounce of soda is 14 oz.

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"Your question is incomplete, probably the complete question/missing part is:"

Roselle has 3 cups of popcorn and 6 oz of soda for a total of 162 calories. Carmel has 1 cup of popcorn and 11 oz of soda for a total of 182 calories. Determine the number of calories per cup of popcorn and per ounce of soda

Identify m∠C in the triangle shown. (ASAP PLS HELP!)

A)
17°

B)
19°

C)
21°

D)
23°

Answers

Answer:

[tex]x = 21[/tex]

Step-by-step explanation:

Apply triangle interior theorem,

[tex]71 + 88 + x = 180[/tex]

[tex]159 + x = 180[/tex]

[tex]x = 21[/tex]

C. 88 + 71 = 159. 180 - 159 = 21

I GIVE THANKS AND MARK BRAINLIEST

WHAT ARE THE CORRECT ANSWER(S)?

Answers

On solving the provided question, we can say that - the slope of the following will be slope, m = [tex]4-6/4-2 = -2/2 = -1[/tex]

what is slope?

A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x). The ratio of the vertical change (rise) between two points to the horizontal change (run) between the same two places is referred to as the slope. The slope-intercept form of an equation is used to represent each time a straight line's equation is stated as y = mx + b. The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).

here,

(x1,x2) = (6,4)

(y1,y2) = (2,4)

slope, m = 4-6/4-2 = -2/2 = -1

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On solving the provided question, we can say that - the slope of the following will be slope, m = -1

what is slope?

A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x). The ratio of the vertical change (rise) between two points to the horizontal change (run) between the same two places is referred to as the slope. The slope-intercept form of an equation is used to represent each time a straight line's equation is stated as y = mx + b. The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).

here,

(x1,x2) = (6,4)

(y1,y2) = (2,4)

slope, m = 4-6/4-2 = -2/2 = -1

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Helpppppppppppp plz
I will give brainlist

Answers

Answer:

general sherman is the biggist

Step-by-step explanation:

grant and sherman - 5900

washington and sherman -4650

Three systems of linear equations are shown what are the answers for each one?

Answers

Answer:

A)one solution (3, -3)

B)no solution

C)infinite solution

Step-by-step explanation:

A) The two equations intersect at a point. This point satisfies both equations.

B) The two equations are parallel and never intersect. Therefore no solution.

C) The two equations are stacked on top of one another. No matter with point of the like is chosen, the point will satisfy both equations.

Expectation 2 Suppose that X is log-normal. For example log(x) follows a normal distribution with mean m and standard deviation k. What is the expectation of X? Pick ONE option exp(m - k2/2) exp(m + k²/2) exp(m) m

Answers

The expectation of X, when X is log-normal and log(X) follows a normal distribution with mean m and standard deviation k, is exp(m + k²/2).

Therefore the answer is exp(m + k²/2).

The log-normal distribution is a probability distribution of a random variable whose logarithm is normally distributed. In other words, if X is log-normal, then log(X) follows a normal distribution with mean m and standard deviation k.

The expectation of a random variable is the expected value of the variable, which is a measure of the central tendency of the distribution. For a continuous probability distribution, the expectation is also known as the population mean. The expected value of X can be calculated using the probability density function (PDF) of X.

The expectation of X is calculated as the integral of X × f(X) over the range of X. Where f(X) is the probability density function of X and X is the random variable.

For log-normal distribution, the expectation of X is calculated as follows:

E(X) = exp(m + k²/2)

where m is the mean of log(X) and k is the standard deviation of log(X).

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Homer Simpson left an estate of $2.4 million. He left 10% to Springfield University, 15% to the First Church of Springfield, $600,000 to his wife Marge, and the remainder to be divided among his three children. How much did each child receive?

Answers

Hello there!

Answer:

$400'000

Step-by-step explanation:

Estate -- $2.4 million or $2'400'000

Springfield University will receive: 10% * $2'400'000 = 0.1 * $2'400'000 = $240'000

First Church of Springfield will receive: 15% * $2'400'000 = 0.15 * $2'400'000 = $360'000

Wife will receive $600'000

Total: $240'000 + $360'000 + $600'000 = $1'200'000

Children will receive at total: $2'400'000 - $1'200'000 = $1'200'000

So each child will receive: $1'200'000 / 3 = $400'000

Answer: Each child of Homer Simpson gets $400000.

Step-by-step explanation:

Homer Simpson left 10% of his estate, or (10/100)  x $2.4 million

= $ (10/100)x2400000= $240000

$240,000 to Springfield University.

He left 15% of his estate, or (15/100) x $2.4 million = $(15/100)2400000

= $360000

So 360,000 to the First Church of Springfield.

So in total, he left $240,000 + $360,000 + $600,000 = $(240000+360000+600000)

=$1200000

 $1,200,000 to organizations and his wife.

That means the remainder of the estate, $2.4 million - $1,200,000

= $2400000-1200000

= $1200000

1,200,000, was divided among his three children. So each child received $1,200,000 / 3 = $1200000/3

=$400000

Answer: $400000.

Olivia is making greeting cards, which she will sell by the box at an arts fair. She paid $24 for a booth at the fair, and the materials for each box of cards cost $2. She will sell the cards for $6 per box of cards. At some point, she will sell enough cards so that her sales cover her expenditures. How much will the sales and expenditures be? How many cards will that take?

Answers

Answer:

$8

Step-by-step explanation:

A snack recipe calls for cup of sunflower seeds. The recipe makes 6 cups of the snack. Joshua wants to make 24 cups of the snack to bring on a camping trip. How many cups of sunflower seeds will Joshua need?​

Answers

Answer: he will need 4 cups of sunflower.

Explanation: for 6 cups of the snack he needs 1 cup of sunflower seeds, so for 24 cups of snacks he need 24/6= 4 cups of sunflower seeds.

Graph the function y = - 5/3x - 1

Answers

Answer:

y intercept at (0,-1) and line runs through the points (-6,3) and (-3,4)

Step-by-step explanation:

Answers for A B and C?

Answers

Answer:

a) 45/2,25=20 km per hour

b) 45 minutes

c) 45/3=15 km per hour

I’m confused, please help!

Answers

Answer:

B

Step-by-step explanation:

Did this problem yesterday

what is the mean absolute deviation best described as​

Answers

The value obtained when you add all the values in the data set and divide by the number of values.

I think of a number. I subtract 14 from the number and then treble the difference. The result is two third of the number. Find the original number​

Answers

Answer:

18 is the original number.

Step-by-step explanation:

Let the number be x.

A/Q:-

3 (x-14)= 2/3x

Multiplying by 3 we get

9(x-14)=2x

9x-126=2x

9x-2x=126

7x=126

x =126/7

x=18

Answer:

Let the no. be x

3 (x-14) =

How do you solve equivalent questions?

Answers

One of the way by which we can solve equivalent questions is by multiplying both the numerator and the denominator by a same number .

The number chosen for the purpose should be same and should be a non zero number. Example, if we want to find the equivalent of 2/8 then we can simply multiply 2 and 8 which are the numerator and the denominator by a same number say 3 .

Then we will get the result as 2 x 3 /8 x 3 = 6 / 24 .

The result will be a number equivalent to the given fraction. This can be checked by reducing the result to its lowest terms.

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Convert 723.8 mm to cm.

Answers

Answer:

72.38

Step-by-step explanation:

When converting from mm to cm divide the length value by 10

30PTS 30PTS don’t explain just answer (it’s not 90)

Answers

Answer:

20

Step-by-step explanation:

110 -70 = 40 40/2= 20

Answer:

[tex] \sf \: x = {20}^{o} [/tex]

Step-by-step explanation:

Let's take the value of y as,

→ y = 90°

(Because, it is a right angle)

Forming the equation,

→ x + y + 70° = 180°

Now the value of x will be,

→ x + y + 70° = 180°

→ x + 90° + 70° = 180°

→ x + 160° = 180°

→ x = 180° - 160°

→ [ x = 20° ]

Hence, the value of x is 20°.

What is associative property example?

Answers

The example of an associative property is a+(b+c) = (a+b) + c for additional operation and a × (b × c) = (a × b) × c for the multiplication operation. The associative property is used to solve an equation or expression of real numbers.

What are the properties of real numbers?

In the number system, real numbers are only the fusion of rational and irrational numbers. These numbers can generally be used for all arithmetic operations and can also be expressed on a number line.

The four primary characteristics of real numbers are as follows:

Commutative property

Associative property

Distributive property

Identity property.

Associative property: The associative property is applicable on two arithmetic operations. They are multiplication and addition.

For multiplication operations: a × (b × c) = (a × b) × c

For additional operation: a+(b+c) = (a+b) +

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