judes water balloon is empty but filling up at a rate of 5 ml per second. Ian's water balloon contains 45ml of water of water and is losing 10 mL of water per second.

Write an equation to represent y, the amount of water in each balloon based on x, the number of seconds.

Jude:
Ian:

Answers

Answer 1

Answer:

Jude: y = 5x

Ian: y = 45 - 10x

Step-by-step explanation:

Jude:

y = 5x

Ian:

y = 45 - 10x


Related Questions

Mr. Ramirez is always trying to clean up his garage. He has 1/5 liter of oil in one can and 2 5 liter of oil in another can. How much will he have if he pours them both into one can URGENT PLEASE ANSWER

Answers

The total amount of oil he would have if he pours them both in a can is 2.7 liters.

How much oil would he have?

In order to determine the amount of oil he would have, add both numbers together. In order to add the numbers, both numbers have to be in the same form. One of the numbers is a decimal and the other is a fraction.

In order to convert the fraction to a decimal, divide the numerator by the denominator.

1/5 = 0.2

Total number of oil = 0.2 + 2.5 = 2.7 liters

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Quadrilateral ABCD'is a reflection of quadrilateral ABCD over the x-axis.

What is the length of A'D' ?



A. 3 units

B. 7 units

C. 4 units

D. 6 units

Answers

option D is correct- The length of quadrilateral of A’D’ is 6. When it is reflected ,the lengths don’t change.

image is attached below,

Quadrilateral

A quadrilateral is defined as a two-dimensional shape with four sides, four vertices, and four angles. There are two main types: concave and convex. There are also various subcategories of convex quadrilaterals, such as trapezoids, parallelograms, rectangles, rhombi, and squares.

Reflection

A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

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Does someone mind helping me with this problem? Thank you!

Answers

Answer:

0.01 goes in the first box

0.10 goes in the second box

Therefore, the first equation is 0.01p + 0.10d = 1.50

===========================================================

Reason:

The last part mentions "A penny is 0.01" which means $0.01 or 1 cent. The 0.01 is the coefficient of the variable p.

1 penny = $0.01

p number of pennies = 0.01p dollars

A similar situation happens with the dimes.

how many 10-element subsets of {1, 2, 3, . . . , 20} contain at least one odd element? (hint: we are selecting a subset of the previous set, so {1,2,3,4,5,6,7,8,9,10} is the same as {1,2,3,5,4,6,7,8,9,10}.)

Answers

The no. of subsets with at least one odd number is ²⁰C₁₀ - 1

We have the sample set to be {1, 2, 3, 4, ... 20}

Now we need to make subsets of 10 from these 20 elements.

Hence, the number of possible subsets of 10 elements will be

²⁰C₁₀

Now, there are 10 odd elements in the given sample set.

Hence the number of sets that contain at least 1 odd element

= Total no. of possible sets - no. of possible sets with no odd no.

Now since there are only 10 even numbers, there can be only one such set possible.

Hence no. of the subsets with at least one odd number is

²⁰C₁₀ - 1

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y=x^2+6x+8
solve by using completing the square.
what are the roots/zeros/x-intercepts of your parabola?

Answers

The roots of the parabola are given as follows:

x = -2 and x = -4.

How to obtain the roots of the quadratic function?

The quadratic function for this problem is defined as follows:

y = x² + 6x + 8.

Completing the squares, the quadratic function can be factored as follows:

y = (x + 4)(x + 2).

As:

The sum of the roots is of 6.The product of the roots is of 8.

Then the roots are obtained as follows:

x + 4 = 0 -> x = -4.x + 2 = 0 -> x = -2.

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The monthly rents for five apartments advertised in a newspaper were $670, $670, $790, $1550, and $810. Use the mean, median, mode, and range of the rents to answer the following question: Which measure of central tendency best described the advertised rents? Calculate the four measures of central tendency and provide two to four sentences supporting the answer. (I already calculate the four, I just need help with picking out the best one. Range: 880. Mode: 670. Mean: 898. Median: 790)​

Answers

The MEAN best describes the monthly rents.

The best one is Mean : 898

Now, According to the question:

The monthly rents for five apartments advertised in a newspaper were $670, $670, $790, $1550, and $810.

We are required to use the mean, median and mode to explain which measure of central tendency best describes the monthly rent.

The mean, median and mode (as calculated) are the measures of central tendency for the data set given.

This measures which value is closest to the center such that it can conveniently represent every other data. Observe carefully that the least value is 670 while the highest is 1550.

Also, observe that the value which is "more central" to both extremes is the mean.

The median is closer to the lowest value and much farther from the highest value.

The mode is actually at the lowest end of the data set.

However, the mean is safely between both ends. Its farther away from the least value than the median which means its moving closer to the "center" unlike the other two measures.

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R
102°
o
S
What is the measure of arc RT?
102 degrees
156 degrees
204 degrees
88 degrees
Previous
E
Please help

Answers

The measure of arc RT is: C. 204 degree.

How to find the measure of arc RT?

arc ORT = 102° - 90°

arc = 12°

arc ROT = 180° - 2×12°

arc ROT = 180° -  24°

arc ROT = 156°

Hence:

Measure of arc RT

arc RT= 360° - 156°

arc RT = 204°

Therefore the correct option is C.

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• The dimensions of a rectangle are 3x by 4x-9. Find x if the perimeter is 52.
Draw a picture if you need a visual

Answers

Answer:

x = 6, length of the rectangle is 18cm, and width is 21cm

Step-by-step explanation:

To solve this problem, we can use the perimeter of a rectangle formula: P = 2l + 2w.

Here, l = 3x and w = 4x - 9, so the perimeter is P = 2(3x) + 2(4x - 9) = 52.

Solving for x, we get x = 6.

Therefore, the length of the rectangle is 3x = 18 cm, and the width is 4x - 9 = 21 cm.

earle bailey has 20 songs to choose from but can play only 7 in the next half-hour on sirius xm classic.how many different (ordered) playlists are possible

Answers

Applying combination, the number of playlist is: 75,435.

How to Apply Combination to Solve a Problem?

A combination is a way of selecting a certain number of items from a larger set, without regard to the order of the items.

The number of possible playlists would be the number of ways to select 7 songs out of 20 without regard to order, which is commonly known as a combination.

The formula for combination is nCr, where n is the total number of items and r is the number of items being chosen at a time. So in this case, the number of possible playlists would be 20C7.

This can also be written as 20!/(7!*13!)

The answer is 75,435

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Solve the system by substitution. Check your solution. 0.5 x + 0.25 y = 36. y + 18 = 16 x. a. (36, 72) c. (49, 81) b. (9, 126) d. (21, 9) Please select the best answer from the choices provided A B C D

Answers

Answer:

Answer is in attached photo. (B)

Step-by-step explanation:

Solution

The solution is in the attached photo , do note the question might specify the method to use to solve the equations, just like this the question:

1) Substitution Method

2) Elimination Method

Mary decided to look at new and used cars. Mary found a used car for $10000. Mary found that she paid 40% of the price of a new car. How much would a new car cost

Answers

Answer: i don't know sorry 99

Step-by-step explanation:

56+80

What do the measures of angles BDA and BEA and the fact that and are radii of circle A tell us about and Explain your answer

Answers

The measures of angles BDA and BEA  is 90 degree and the fact that AD and AE are radii of circle A tell us about BD and BE must be a tangent to the circle.

The tangents to the circle are BD and BE.

∠BDA = 90

∠BEA = 90

Radii = AD and AE

A tangent's angle with a circle's radius is always measured as a 90-degree angle.

∠BDA = 90, and since AD is a radius, BD must be a tangent to the circle.

Similar, ∠BEA = 90 suggests that BE is a tangent to the circle and that AE is a radius.

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The complete question is:

What do the measures of angles BDA and BEA and the fact that AD and AE are radii of circle A tell us about BD and BE?

Use the box method to distribute and
simplify (-5x - 2) (5x + 4). Drag and
drop the terms to the correct locations of
the table.
( − 5x − 2)(5x+4)
You must answer all questions above
in order to submit.

Answers

Create a table with the place values for the first and second factors down the left and the top and bottom, respectively.

What is the box method?

Multiplication using the box method: Create a table with the place values of the first and second factors down the left and the top and bottom, respectively. Second step: multiply the place values and add the results to the table. Step 3: Add up all of the table's rows. Step 4: Add the sums of these rows.

Placing the first word in the first box and the last term in the last box is the first step in utilizing the box technique to factor a trinomial. Multiply the first and last boxes after that. Identify the first and last boxes' products, which together make up the middle word. Put these words in the remaining spaces.

Here's how you can use the box method to distribute and simplify the expression:

( -5x - 2 ) ( 5x + 4 )

⇒-5x -2

⇒5x 4

⇒-25x^2 -10x + 20x - 8

⇒-25x^2 + 10x - 8

So the simplified expression is:

-25x^2 + 10x - 8.

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The ratio of the volumes of the bags of dog food is [ Select ] which means the scale factor of the dimensions of the two bags is [ Select ] . Therefore the scale factor of the surface area of the two bags is [ Select ] .

Answers

Answer:

Step-by-step explanation:

Answer:

20, 2.7, 7.4

Step-by-step explanation:

I completed the assingment and got it 100

t
he points that are on the graph of the function defined by y=2x+3
.

Answers

The point that lies on the function defined by the equation is (2, 7)

How to determine the point that lies on the graph of the equation

From the question, we have the following parameters that can be used in our computation:

y = 2x + 3

The point in the ordered pair that lies on the graph of the equation is the solution set

Take for instance, we set x = 2

So, we have the following representation

y = 2 * 2 + 3

Evaluate the product and the sum

This gives

y = 7

When repesented as an ordered pair, we have

(2, 7)

Hence, the point is (2, 7)

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From the observation deck of a skyscraper, Morgan measures a 67
∘ angle of depression to a ship in the harbor below. If the observation deck is 955 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest hundredth of a foot if necessary.

Answers

Angle of depression and elevation:The angle of depression refers to the angle above the hill.The ship is 349.8 feet away from the skyscraper's base horizontally.

How far does the ship extend horizontally from the skyscraper's base?

You could calculate the angle of elevation, for instance, if you were standing on the ground and were looking up at a mountain's summit.

The angle between a line of sight's horizontal axis and its downward axis is known as the angle of depression.

The ship is 349.8 feet away from the skyscraper's base horizontally.

Angle of depression and elevation:The angle of depression refers to the angle above the hill.

given the aforementioned variables

The harbor is 824 feet tall.

Depression angle is 67 degrees.

SOH CAH TOA identification claims that:

Tan = opp/adj Tan = 824 Tan = 67

d = 824.8/tan67 d = 349.8 feet

Therefore, the vertical distance from the skyscraper's base to the ship is 349.8 feet.

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Systems of Linear Inequalities

PLEASE HELP

Answers

Th systems of Linear Inequalities are:

x>=-7,

y<6-2x/3,

y<=-1,

y>3/5x-5,

y<6+5x

How to solve the linear inequalities?

Step1:

x>=-7,y<6-2x/3,y<=-1,y> 3/5x-5,y<6+5x: [x>=-7]

[y<6-2x/3]

[y<=-1]

[ y>3/5x-5]

[y<6+5x]

x>=-7

[tex]3y+2x < 6\sy < =-1\sy > \frac{3}{5}[/tex]

x-5\sy-5x<6

Separate y for 3y+2x6 as follows: y6-2x/3 3y+2x6

Step2:

shuffle twice to the right side

Divide both sides by 3 using the formula 3y/6/3-2x/3.

simplify

3y/3<6/32x/3

Simplify 3y/3 by dividing it by y.

3/3=1

simplify 6/3-2x/3: 6-2x/3

6/3-2x/3

Apply the formula a/c + b/c = a+-b/c = 6-2x/3 y 6-2x/3

Identify y for y-5x6: y6+5x y-5x6.

Y=6+5x move the right side by 5x.

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8 of the tables at Joy's Italian Restaurant are full and the other 13 tables are empty. What is the ratio of the number of empty tables to the total number of tables?

Answers

The ratio of the number of empty tables to the total number of tables 13:21.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that 8 of the tables at Joy's Italian Restaurant are full

13 tables are empty

The total number of tables in the restaurant are 8+13=21

We have to find  ratio of the number of empty tables to the total number of tables

Empty tables = 13

Total number of tables=21

Ratio of the number of empty tables to the total number of tables 13:21

Hence, the ratio of the number of empty tables to the total number of tables 13:21.

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dr. green is interested in conducting a 2 x 2 x 3 within-group factorial design, with 20 participants in each cell. how many participants does she need overall?

Answers

she need 240 number of participant .

Graphing cell means to picture primary impacts and connections. The numbers in the secret elements address bunch implies in a 2 x 2 x 3 plan. The negligible means for factors An and B are likewise shown. The cell implies are plotted as line diagrams and as reference charts.

Now, According to the question:

We have Dr. Green is interested in conducting a 2 x 2 x 3 within-group factorial design.

There are 12 cells in factorial, and each cell 20 participant.

Then, number of participant = 20(12) = 240 participant.

Thus, she need 240 number of participant .

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Find the measures of the numbered angles.

Answers

Answer: ∠1= 75°, ∠2= 105°, ∠3=105°, ∠4=75°, ∠6=105°, ∠7= 105°, ∠8=75°

Step-by-step explanation:

∠1 is corresponding to angle 75° which make them equal.

∠2 is supplementary to ∠1 which means they add up to 180°. Since ∠1 is 75° you would subtract 75° from 180° to get 105°.

∠3 is vertical to ∠2 which makes them equal.

∠4 is vertical to ∠1 which makes them equal.

∠6 is corresponding to ∠2 which makes them equal.

∠7 is vertical to ∠6 which makes them equal.

∠8 is vertical to 75° which makes them equal.

give three points that lie on a line with a slope of -2/5

Answers

The three points that lie on a line y = -2/5x with a slope -2/5 will be:

(0, 0)

(5, -2)

(10, -4)

How to illustrate the slope?

Given slope = m = -2/5. We suppose the line passes through the origin, so b = 0

substituting m = -2/5 and b = 0 in the slope-intercept form

y = -2/5x + 0

y = -2/5x

Thus, the equation of line with the slope m = -2/5 and passes through the origin (0, 0) will be:

y = -2/5x

As the equation of line passes through (0, 0), thus the point (0, 0) lies on the line.

Putting x = 0 in the equation y = -2/5x

y = -2/5 × (0)

y = 0

Thus, (0, 0) is the point which also passes through the line

Putting x = 5 in the equation y = -2/5x

y = -2/5 × 5

y = -2

Thus, (5, -2) is the point which also passes through the line.

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8x +x2/3 what is that answer

Answers

The solution to the expression when x = 3 is 26

How to determine the solution to the expression

From the question, we have the following parameters that can be used in our computation:

8x + x * 2/3

Also, we have

x = 3

substitute the known values in the above equation, so, we have the following representation

8 * 3 + 3 * 2/3

Evaluate the product

24 + 2

Evaluate the sum

26

Hence, the solution is 26

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Complete question

Given that 8x + x * 2/3, calculate the expression when x = 3

The algebraic expression 8x + 2x/3 is simplified to a simple fraction as 26x/3

How to simply the algebraic expression

We shall first find the lowest common multiple (LCM) of the denominators of both terms to have a single fraction and then we simplify as follows;

The denominator of 8x is 1 and 2x/3 is 3

LCM of 1 and 3 is 3

we simplify to a single fraction;

multiply the term 8x by the LCM 3

(3 × 8x + 2x)/3

multiply the term 8x by the LCM 3

(24x + 2x)/3

add the algebraic terms 24x and 2x together

26x/3

Therefore, the algebraic expression 8x + 2x/3 is simplified to a simple fraction as 26x/3.

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Divide the following: MUST SHOW WORK. (30 points)

Answers

On dividing the expression [(x²-9)/(x²+5x+4)]/[(x²-4x-5)/(x²-2x-15)], the value obtained is 1 + [(6x²-22)/(x³-3x²-9x-5)].

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The expression is given as - [(x²-9)/(x²+5x+4)]/[(x²-4x-5)/(x²-2x-15)]

Apply the fraction rule, (a/b)/(c/d) = a·d/b·c

= [(x²-9) × (x²-2x-15)]/[(x²-4x-5) × (x²+5x+4)]

= [(x²-9) × (x+3)]/[(x²-4x-5) × (x+1)]

Expand the expression -

= [(x²-9) × (x+3)]/(x³-3x²-9x-5)

= (x³+3x²-9x-27)/(x³-3x²-9x-5)

= 1 + [(6x²-22)/(x³-3x²-9x-5)]

Therefore, the expression obtained is 1 + [(6x²-22)/(x³-3x²-9x-5)].

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researchers collect data about juuling by asking users to keep track of the number of times per day they turn their device on and the number of inhalations each time they turn the device on. what type of data are these? group of answer choices interval nominal ratio ordinal

Answers

The given data is ordinal data.

This type of data is ordinal data, as the variables are collected on an ordered scale (the number of times per day the device is turned on and the number of inhalations per activation). Although the actual numerical values may not have equal distances, they can still be ordered and compared based on the magnitude of the numbers.

Ordinal data is a categorical statistical data type when the distances between the categories are unknown and the variables have naturally occurring, ordered categories. These statistics are presented on an ordinal scale, one of the four measurement levels that S. S. Stevens described in 1946.

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THE AREA OF A SECTOR IS A = 384 in².
A. IF THE RADIUS IS 24 IN. , WHAT IS THE MEASURE OF THE CENTRAL ANGLE, IN RADIANS?

B. IF THE CENTRAL ANGLE MEASURES RADIANS, WHAT IS THE RADIUS OF THE CIRCLE? ROUND TO THE NEAREST HUNDREDTH.

Answers

A) The measure of the central angle is  [tex]\frac{4}{3} \pi[/tex] .

B) The radius of the circle is 55.43 in.

A) We know,

The area of a sector is  [tex]\frac{n}{2\pi } \pi R^{2}[/tex]

where n = the degree of the central angle of the sector

          R = radius of the circle

Suppose, the measure of the central angle is x.

   [tex]\frac{x}{2\pi } .\pi .24^{2} = 384\pi[/tex]

⇒ [tex]\frac{x}{2\pi } = \frac{384\pi }{576\pi }[/tex]

⇒ [tex]x = \frac{384\pi }{576\pi } * 2\pi[/tex]

⇒ [tex]x = \frac{4}{3} \pi[/tex]

So, the measure of the central angle is  [tex]\frac{4}{3} \pi[/tex].

B) Suppose the radius of the circle is r in.

   [tex]\frac{\pi /4}{2\pi } .\pi .r^{2} =384\pi[/tex]

⇒[tex]\frac{1}{8} .\pi .r^{2} =384\pi[/tex]

⇒ [tex]r^{2} = 384\pi / \frac{1}{8} \pi[/tex]

⇒  [tex]r^{2} = 3072[/tex]

As r > 0

So, r = 55.43

Hence, The radius of the circle is 55.43 in.

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Identify bias based on a survey of 2718 people the national opinion research center concluded that 30% 32% of americans always make a special effort to sort and recycle glass cans plastic or papers 24% americans often make such an effort

Answers

Based on a survey of 2718​ people, a research center concluded that​ 32% of Americans​ "always" make a special effort to sort and recycle​ glass, cans,​ plastic, or​ papers. Participation bias is there in this case.

The bias would have no effect on a reader's perception of the assertion because no group of persons is much more likely to respond to the poll than any other.

When comparisons are performed between groups of patients who differ in outcome determinants and the differences are connected to the result, participation bias emerges.

1. Participation bias is inherent in studies that involve participant enrollment.

2 Because selective participation might jeopardize study external validity, determining the magnitude of participation bias is critical for optimizing inference from these investigations.

Few community studies have looked into the impact of participation bias. Nonparticipants in one population-based study of myocardial infarction (MI) were older, had more comorbidity, and had a lower survival rate than participants.

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Set up a system of equations for the given information by filling in the boxes with the coefficients of the variables and the constant values, where is the amount invested in stocks, is the amount invested in bonds, and is the amount invested in CD's. If there is no visible coefficient, then enter for the coefficient. If a specific variable is not present in the equation, then enter for the coefficient. Country Day's scholarship fund receives a gift of $200000. The money is invested in stocks, bonds, and CDs. CDs pay 5% interest, bonds pay 2.9% interest, and stocks pay 10.9% interest. Country day invests $20000 more in bonds than in CDs. The total amount earned from the investments is $11165. Total amount invested: + + = Total amount earned from investements: + + = Relation of bonds and CDs: + + =

Answers

The system of equations is:

a + b + c = 2000000.109a + 0.029b + 0.05c  = 11165b = c + 20000

How to determine the system of equations

From the question, we have the following parameters that can be used in our computation:

Total amount invested = $110000

Using the fiollowing variable representations:

Amount invested in stocks = a Amount invested in bonds = bAmount invested in CD's = c

We have

a + b + c = 200000

Using the total interest earned of 7145, we have:

10.9% * a + 2.9% * b + 5% * c  = 11165

So, we have

0.109a + 0.029b + 0.05%c  = 11165

Country day invests $20000 more in bonds than in CDs.

So, we have

b = c + 20000

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Ella has .5 of sugar. How much water should she add to make 1.5% syrup concentration

Answers

We need to find how much water Ella needs to make the different concentrations of syrups. The solution will be for 1.5%, we need 32.83 lbs of water.

How to explain the concentration?

The percentage in the concentration tells us how much in the mixture is sugar.

So for example, in the 50% syrup, we have a 50% of sugar, meaning that half of it is sugar, and we have 0.5 lbs of sugar, so we need to add the same amount of water, 0.5 lbs of water.

For the 1.5% syrup, this will be:

= (0.5 - 0.5 × 0.015) / 0.015

= 32.83 lbs

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Complete question

Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will have in each case.  1.5% syrup?

a light post casts a shadow on a small boy. the boy, who is 4 feet 6 inches tall, notices that his shadow is 3 feet 4 inches long. he decided that if he measures how far he is from the light post, he can determine how tall the post is from the ground. explain how he can figure out the height of the light post. use mathematical reasoning.

Answers

The small boy can use the mathematical reasoning of similar triangles and the concept of ratios to determine the height of the light post.

Similar triangles are triangles that have the same shape but can have different sizes. In this case, the shadow of the boy, the boy himself, and the light post form similar triangles.

Let h be the height of the light post, x be the distance between the boy and the light post, and s be the length of the shadow, we can use the following ratios -

(boy's height) / (boy's shadow) = (light post height) / (light post shadow)

i.e. (4 feet 6 inches) / (3 feet 4 inches) = (h) / (x)

Now, we can find the height of the light post by using the above equation and the given values of the boy's height and the shadow.

The small boy can measure the distance between him and the light post, and he can use this value in the above equation to determine the height of the light post. The equation is h/x = (4.5)/(3.33)

This is the ratio of the height of the light post and the distance between the boy and the light post, so h = (4.5 * x) / (3.33)

In this way, the small boy can use the mathematical reasoning of similar triangles and the concept of ratios to determine the height of the light post.

Read more about Similar triangles:

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16/1 x 3/8 in simplest form

Answers

Answer: 6

Step-by-step explanation:

1. 16/1 × 3/8= 48/8

2. 48/8= 6

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