please help and explain how to solve this










A cone with height h and radius r has volume V = 1/3πr^2h. If a certain cone with a height of 9 inches has volume V = 3πx^2 + 42πx + 147π, what is the cone’s radius r in terms of x?

The value of x is 24.

If chosen at random, the probability that he plays two games is 7/29

John Venn popularized the Venn diagram in the 1880s, which is a type of diagram that displays the logical relationship between sets. The diagrams are used in probability, logic, statistics, linguistics, and computer science to teach basic set theory and to show basic set relationships.

To find the value of x:

x + (42 - x) + (42 -x ) + (30-x) + 186 -42 + x - x -30 + x

=>150x + x = 174

x= 24.

From the Venn diagram, the number of students that play both games is 42

Hence, the probability is 42/174

Simplified further, it becomes:

7/29

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Therefore , the solution of the given problem of linear equation comes out to be conan needs one more tube to put away the remaining 2 tennis balls.

A straightforward regression curve is created using the equation y=mx+b. The y-intercept is m, and the slope is B. The previous line is usually referred to as a "math equation mixing numerous variables," even though y / y represent independent components. Only two variables are present in bivariate linear equations. There are no known solutions to application issues involving linear equations.

Here,

We know that Conan has 5 tubes, and that 2 tennis balls are left unfilled. This means that he has already filled up 5 - 1 = 4 tubes.

Each tube can hold a certain number of tennis balls, so we need to know how many tennis balls each tube can hold. Once we know that, we can figure out how many tubes are needed to hold the remaining 2 tennis balls.

Let's say each tube can hold n tennis balls. Then, the 4 filled tubes have a total capacity of 4n tennis balls. We also know that there are 2 tennis balls left unfilled. Therefore, we can set up the following equation:

4n + 2 = 5n

Simplifying this equation, we get:

2 = n

So each tube can hold 2 tennis balls. Therefore, Conan needs one more tube to put away the remaining 2 tennis balls.

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Answer:

Step-by-step explanation:

1 yard = 1/2in shadow

Then 8ft = 192 * 1/2in

Then the radio tower is 192 yards (1 yard = 3 feet)

The radio tower = 576 feet

Answer:

Step-by-step explanation:

576

A for loop in MATLAB allows a user to repeatedly execute a set of instructions for a specific number of times or until a specified condition is met.

In MATLAB, a for loop is a control structure that allows users to repeatedly execute a block of code a specific number of times or until a specific condition is met. The loop variable takes on a sequence of values specified by the user, and the statements within the loop are executed for each value of the loop variable.

For loops are a powerful tool in MATLAB for automating repetitive tasks and iterating over arrays and matrices, among other uses. They can help streamline complex computations and make code more efficient and easier to read.

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The equation of the perpendicular line is 5x - 3y = 15

The complete question is added as an attachment

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

The points on the line are

(-3, 2) and (2, -1)

So, the slope (m) is

m = (-1 - 2)/(2 + 3)

Evaluate

m = -3/5

The equation of the perpendicular line is then calculated as

y = -1/m(x - x1) + y1

Where

(x1, y1) = (3, 0)

So, we have

y = 5/3(x - 3)

This gives

3y = 5x - 15

Rewrite as

5x - 3y = 15

So, the equation is 5x - 3y = 15

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If the sum of two vectors is equal to the sum of their absolute values, it means they are orthogonal and equal in magnitude.

The amount of two vectors addresses the consolidated impact of the two vectors. At the point when the amount of two vectors is equivalent to the amount of their outright qualities, it implies that the two vectors are opposite to one another and their extents are equivalent. All in all, the two vectors are symmetrical and they have a similar length.

This relationship can be shown mathematically utilizing the Pythagorean hypothesis. In the event that we have two vectors An and B, their total C can be addressed as the hypotenuse of a right triangle, where An and B are the other different sides. In the event that An and B are opposite to one another, the Pythagorean hypothesis can be utilized to show that the size of C is equivalent to the square foundation of the amount of the squares of An and B, which is equivalent to the amount of their outright qualities.

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The instantaneous rate of change calculator is the tool that displays the rate of change

The change in the rate at a certain point is referred to as the instantaneous rate of change in mathematics. It is equivalent to the rate of change in a function's derivative value at a particular location. The obtained graph is identical to the slope of the tangent line if a graph for the instantaneous rate of change at a particular point is drawn.

A free online tool known as the Instantaneous Rate of change calculator shows the rate of change, the first-order differential equation for the specified function. This tool speeds up the calculation and shows the rate of change at a particular position in a split second. With time, the tool is now widely accepted and is often used is variety of calculations.

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The equation of the line passing through (9,11) and perpendicular to the line passing through (6,1) and (2,1) is x = 6

Find the slope of the line passing through (6,1) and (2,1):

The slope of a line passing through two points (x1,y1) and (x2,y2) is given by:

slope = (y2 - y1) / (x2 - x1)

Substituting the given coordinates, we get:

slope = (1 - 1) / (2 - 6) = 0

Therefore, the slope of the line passing through (6,1) and (2,1) is 0.

Find the slope of the line perpendicular to the line passing through (6,1) and (2,1):

The slope of a line perpendicular to a line with slope m is given by:

perpendicular slope = -1/m

Substituting the slope of the line passing through (6,1) and (2,1), we get:

perpendicular slope = -1/0 (which is undefined)

This means that the line perpendicular to the line passing through (6,1) and (2,1) is a vertical line passing through the point (6,1) and (2,1).

Write the equation of the line passing through (9,11) and perpendicular to the line passing through (6,1) and (2,1):

Since the line passing through (6,1) and (2,1) is a horizontal line with equation y = 1, the line perpendicular to it is a vertical line passing through the point (6,1) and (2,1). The equation of a vertical line passing through a point (a,b) is given by:

x = a

Substituting the value of x = 6 (since the vertical line passes through (6,1) and (2,1)), we get:

x = 6

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It is proved that x⁻¹/(x⁻¹ + y⁻¹) + x⁻¹/(x⁻¹ - y⁻¹) = 2y²/(y² - x²).

What is an equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions written on the left and right sides. We have LHS = RHS (left-hand side = right-hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it contains no "equal to" symbol. It will be regarded as a phrase.

Given that

x⁻¹/(x⁻¹ + y⁻¹) + x⁻¹/(x⁻¹ - y⁻¹) = 2y²/(y² - x²)

Now solve the left-side expression:

L.H.S =

x⁻¹/(x⁻¹ + y⁻¹) + x⁻¹/(x⁻¹ - y⁻¹)

Now apply the formula a⁻¹ = 1/a:

= (1/x)/(1/x +1/y) + (1/x)/(1/x - 1/y)

= (1/x)/((x+y)/xy) + (1/x)/((y-x)/xy)

Now taking common  (1/x)/(1/xy):

= (1/x)/(1/xy)[1/(x+y) + 1/(y-x)]

= (xy)/(x)[(y - x + x + y)/(x+y) (y-x)]

= y[2y/(x+y) (y-x)]

Applying the algebraic identity (x - y)(x + y) = x² - y²:

= 2y²/(y² - x²)

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Answer: The average rate of change from (-3,5) is 4.

Step-by-step explanation: This question is incomplete there a function is needed

So, suppose f(x) = 2x²-5

Given that, x= -3 to x= -5

let a = -3 and b=5

F(a) = F(-3) = 2(-3)²-5 = 13

F(b) = F(5) = 2(5)² -5 = 45

The equation of the line that passes through the point (2, 1) and has a slope of -5/2 is y=(-5/2)*x+6.

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=3x+4. Where:

m= the slope.

b= the constant term that represents the y-intercept.

For the given example: m=3 and b=4.

The question gives:

Point : (2,1) , where x=2 and y=1

Slope= -5/2

From the  standard form of the linear equation ( y= mx+b) and the given point and the slope, you can write:

y=mx+b

1=-5/2*(2)+b , thus you can find b.

1=-5+b

-b=-5-1

-b=-6

b=6

If b=6 and m=-5/2, you can write the linear equation:

y=mx+b

y=(-5/2)*x+6

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The equation of line that models this is y = -5/2x + 6

The equation of a line is typically written in slope-intercept form, which is y = mx + b, where m is the slope of the line, and b is the y-intercept.

The slope (m) is a measure of how steep the line is, and it can be calculated using the formula:

y = mx + c

In the given question, the slope is -5/2 and the points are (2, 1)

Substituting the values into the formula of equation of line;

y = mx + c

1 = -5/2(2) + c

1 = -5 + c

c = 1 + 5

c = 6

The equation is y = -5/2 + 6

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Answer:

About 16 years

Step-by-step explanation:

The formula for compound interest is

[tex]P(t)=P_{0}(1+r/n)^n^t[/tex], where P0 is the principal, r is the interest rate, n is the number of compounding periods, and t is the time in years.

For this problem, our n = 12 because there are 12 months in a single year and we must convert our percentage to a decimal (3.60/100 = 0.0360): [tex]7000=4000(1+0.0360/12)^1^2^t\\7000=4000(1.003)^1^2^t\\1.75=1.003^1^2^t\\log(1.75)=log(1.003)^1^2^t\\log(1.75)=12t*log(1.003)\\\frac{log(1.75)}{log(1.003)} =12t\\1/12*\frac{log(1.75)}{log(1.003)}=t\\ 15.56818868=16=t[/tex]

The error in the solution is that, In step 2, the Distributive Property was applied incorrectly.

Equations are mathematical expressions consisting of two or more variables and constants on two sides connected by an equal to sign.

Solution of the equation is the value of the variable that the equation holds true.

Given equation is,

8 - [tex]\frac{a}{2}[/tex] = 3 (4 - 5a)

Using the multiplication property of equality, multiplying whole equation by 2,

(2 × 8) - a = 6 (4 - 5a)

16 - a = 6 (4 - 5a)

Distributive property states that, for three numbers or expressions, a, b and c,

a (b + c) = ab + ac

Applying that,

6 (4 - 5a) = (6 × 4) - (6 × 5a) = 24 - 30a

But the student didn't multiply 6 with 5a, and thus he got 24 - 5a in step 2.

Hence the incorrect step is step 2 because of incorrect use of distributive property.

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Your question is a bit confusing. The complete question with an image is given below.

A student provided the steps for solving an equation. Which statement describes the error in the solution?

Equation : 8 - [tex]\frac{a}{2}[/tex] = 3 (4 - 5a)

Answer:

8x8 > 9x7 (64 > 63)

Step-by-step explanation:

The value of the average normal distribution with a 95% degree of confidence is Z 1.96 as 95% of the area under the standard normal distribution curve should fall between -Z and Z, hence Z should be selected to reflect this.

In statistics, the standard normal distribution is a bell-shaped curve with a mean of 0 and a standard deviation of 1. The region beneath the curve between any two values represents the chance of seeing a value inside a given range.

At a 95% confidence level, the value of Z should be chosen so that 95% of the area under the standard normal distribution curve is between -Z and Z. Using a calculator or a generic table of the normal distribution, we may determine Z = 1.96 with a 95% confidence interval. In 95% of the situations, the values of the classic normal distribution lie between +/- 1.96 standard deviations from the mean.

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The height of the flagpole is approximately 10.05 meters.

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It is used to solve problems related to measurements of angles and distances.

We want to find the height h of the flagpole. We can use similar triangles to set up an equation involving the distances and heights in the diagram. In particular, we have two similar triangles: one formed by the mirror, Chloe's eyes, and the top of the flagpole, and another formed by the mirror, Chloe's feet, and the bottom of the flagpole. These triangles are similar because they have the same angles (due to the reflection in the mirror) and share one angle (the one formed by Chloe's eyes, the mirror, and the flagpole). Therefore, we can set up the following proportion:

h / (d + 1.15) = h / 1.1

where d is the distance from the mirror to the base of the flagpole. Solving for h, we get:

h = (1.1 / (d + 1.15)) * h

Cross-multiplying, we get:

h * (d + 1.15) = 1.1 * h

Simplifying, we get:

d = (1.1 / h) - 1.15

Now we can use the distance of 8.85 meters to set up another proportion involving the similar triangles:

h / d = (h + 1.15 + 1.1) / 8.85

where h + 1.15 + 1.1 is the total height of the triangle formed by the mirror, Chloe's eyes, and the top of the flagpole. Solving for h, we get:

h = (8.85 * d) / (d + 2.25)

Substituting the expression for d that we found earlier, we get:

h = (8.85 * ((1.1 / h) - 1.15)) / (((1.1 / h) - 1.15) + 2.25)

Simplifying and solving for h, we get:

h ≈ 10.05 meters

Therefore, the height of the flagpole is approximately 10.05 meters.

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Answer:

The answer is 92.25. Not the first answer from the guy that answered "10.05"

Step-by-step explanation:

These are the photos of the DeltaMath I worked and I decided to put this photo as an evidence that I didn't stole and a much clearly explanation for some people that doesn't understand well!!^^

113.399 grams make up a quarter pound or 0.25 pounds.

The unit of measurement known as a QP, or quarter pound, is frequently used in the sale and distribution of food item measures.

Kilograms equal 2.2046 pounds.

1,000 grams make up one kilogram.

Alternatively, 1,000 grams is 2.2046 pounds.

So, one pound equals x grams.

Divide 1,000 grams by 2.2046 to get 453.597 grams in a pound.

So, one pound is 453.597 grams.

453.597 divided by 0.25 to get 0.25 pounds, or 0.25 pounds, is 113.399 grams.

To achieve precise and consistent outcomes, weight measures are frequently used in cooking and baking. A quarter pound of a culinary item, such as butter or sugar, is also referred to as a QP.

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Answer:

[tex] \sf \: a) \: 2x + 7y - 2 [/tex]

[tex] \sf \: c) \: 7y - 2 + 2x [/tex]

Step-by-step explanation:

Now we have to,

→ Simplify the given expression.

The expression is,

→ -2x + 3 + 7y + 4x - 5

Let's simplify the expression,

→ -2x + 3 + 7y + 4x - 5

→ -2x + 4x + 7y + 3 - 5

→ (-2x + 4x) + (7y) + (3 - 5)

→ (2x) + 7y + (-2)

→ 2x + 7y - 2

→ 7y - 2 + 2x

Hence, option (a) & (c) is correct.

Step-by-step explanation:

-2x + 3 + 7y + 4x - 5 = 2x + 7y - 2

as addition is commutative (= can be done in any sequence of terms), the right answers are variations in the sequence of these 3 terms :

A and C are correct.

B and D disqualify themselves right away by including mixed terms of xy. you can never ever create such a mixed term just out of addition or subtraction of single x and y terms. you need multiplication to do that. but there is none.

The length of side x in simplest radical form with a rational denominator is   [tex]\sqrt{3} /2[/tex].

What is the equilateral triangle?

In an equilateral triangle, all sides are equal in length.

That means that all the angles of the triangle will be congruent.

Since a triangle has 3 angles that always add up to 180 degrees, each angle is 60 degrees.

Therefore, the hypotenuse of the equilateral triangle is 1.

So,

[tex]x = 1 * sin60[/tex]°

[tex]x = 1 * \sqrt{3} /2\\x = \sqrt{3} /2[/tex]

Hence, The length of side x in simplest radical form with a rational denominator is   [tex]\sqrt{3} /2[/tex].

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Answer: look at the image for the answer and explanation

Step-by-step explanation:

the sample data supports the claim that the politician's chance of being elected is less than 70%.

To test whether the politician's claim is valid, we can perform a hypothesis test using the null hypothesis that the true probability of the politician being elected is 0.7 and the alternative hypothesis that the true probability is less than 0.7.

Let p be the true probability of the politician being elected. We have:

Null hypothesis: H 0 : p = 0.7

Alternative hypothesis: H a : p < 0.7 (one-tailed test with alpha = 0.05)

We can use the sample proportion, denoted by p, to estimate the true proportion p. The test statistic for testing the above hypotheses is given by:

z = (p - p) / √(p×(1-p)/n)

where n = 500 is the sample size. Under the null hypothesis, the test statistic follows a standard normal distribution. Using the given sample proportion p = 0.6, we can compute the test statistic as follows:

z = (0.6 - 0.7) / √(0.7×(1-0.7)/500) = -3.05

The corresponding p-value for this test statistic is P(Z < -3.05) = 0.0012 (using a standard normal distribution table or calculator).

Since the p-value (0.0012) is less than the significance level (0.05), we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the true probability of the politician being elected is less than 0.7. In other words, the sample data supports the claim that the politician's chance of being elected is less than 70%.

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Answer:

a8

Step-by-step explanation:

Here you go.

nth term is ar^n-1

The expression below are correct:

πr_c^2h_c / 4 = πr_p^2h_p / 5

h_c / h_p = (r_p / r_c)^2 * (5 / 4)

To prove that the equation

πr_c^2h_c / 4 = πr_p^2h_p / 5

and

h_c / h_p = (r_p / r_c)^2 * (5 / 4)

are correct, we can use some algebraic manipulation and the properties of ratios.

Starting with the first equation, we can simplify it as follows:

πr_c^2h_c / 4 = πr_p^2h_p / 5

5πr_c^2h_c = 4πr_p^2h_p (multiply both sides by 20 to get rid of fractions)

5r_c^2h_c = 4r_p^2h_p (cancel out π on both sides)

Next, we can rearrange the second equation to solve for h_c:

h_c / h_p = (r_p / r_c)^2 * (5 / 4)

h_c = h_p * (r_p / r_c)^2 * (5 / 4) (multiply both sides by h_p)

Now we can substitute this expression for h_c into the simplified version of the first equation:

5r_c^2h_c = 4r_p^2h_p

5r_c^2(h_p * (r_p / r_c)^2 * (5 / 4)) = 4r_p^2h_p (substitute h_c)

5r_c^2r_p^2(5/4) = 4r_p^2h_p (simplify)

5r_c^2 = (16/25)h_p (divide both sides by 4r_p^2)

Finally, we can substitute this expression for h_p into the earlier expression we found for h_c:

h_c = h_p * (r_p / r_c)^2 * (5 / 4)

h_c = (5/16)r_c^2 (substitute for h_p)

h_c / r_c^2 = 5/16

This means that the ratio of the height to the radius squared for cylinder c is 5/16, which is a constant value. We can also rearrange the simplified first equation to solve for h_p in terms of r_c and r_p:

5r_c^2h_c = 4r_p^2h_p

h_p = (5/4)h_c(r_c/r_p)^2 (divide both sides by 4r_p^2 and multiply by 5/4)

Substituting this expression for h_p into the second equation, we get:

h_c / h_p = (r_p / r_c)^2 * (5 / 4)

h_c / ((5/4)h_c(r_c/r_p)^2) = (r_p / r_c)^2 * (5 / 4) (substitute for h_p)

1 / ((5/4)(r_c/r_p)^2) = (r_p / r_c)^2 * (5 / 4) (simplify)

Now we can simplify this expression using the fact that (r_p / r_c)^2 = 1 / (r_c / r_p)^2:

1 / ((5/4)(r_c/r_p)^2) = (1 / (r_c/r_p)^2) * (5/4)

1 / (5/4) = (r_c/r_p)^4 * (5/4)

4/5 = (r_c/r_p)^4

(r_c/r_p)^2 = √(2/√5) or -(√2/√(√5))

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To calculate the value of g we have to multiply the G( universal gravitational constant) and M( mass of body) divide by R square.

Earth's acceleration caused by gravity, or the magnitude of g, is 9.8 m/s2. According to this, an item falling freely on Earth would accelerate by 9.8 metres per second. The gravity of the Earth is to blame for this acceleration.

The acceleration due to gravity formula is given by

[tex]g = \frac{GM}{R^2}[/tex]

Where,

G is the universal gravitational constant, G = 6.674×10-11m3kg-1s-2.

M is the mass of the massive body measured using kg.

R is the radius of the massive body measured using m.

g is the acceleration due to gravity measured using m/s2.

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Yes, in solid geometry a square is a rhombus. A rhombus has all four sides equal just like a square for why it is also known as a titled square.

A rhombus can be thought of as a special parallelogram since it is a quadrilateral with two pairs of parallel sides. Similar to a square, a rhombus likewise has equal sides on each of its four sides. As a result, it's frequently referred to as a tilted square.

According to definition, a square is a regular quadrilateral with four equal sides and four equal 90-degree angles.

Rhombus also has four equal sides.

Therefore, a square is a rhombus with all of its angles being right angles.

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The complete question is:

Given. a square proof it’s a rhombus.

Answer: The new perimeter is 2334 inches.

Step-by-step explanation:

The way to find perimeter is 2L + 2W. The original length was 799 inches and 23 inches were added. 799 in. + 23 in. = 822 in. The width is 245 in. 2(822) + 2(245) = Perimeter. 1844 in. + 490 in. = 2334 in. is the Perimeter.

After simplifying and finding x, we obtain: (x - 4)([tex]x^2[/tex] - 4x + 32) = 0

[tex]x^3[/tex] - [tex]8x^2[/tex] - 64x + 128 = 0

There are no actual roots for the quadratic factor, hence we have the:

x = 4

Line BC, therefore, has a length of 4.

Describe Inequality.

In mathematics, an inequality is a statement that two values are not equal. Instead, one value is either greater than or less than the other value. Inequalities are represented by symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).

For example, the inequality 5 < 8 means that 5 is less than 8, while the inequality x + 3 > 7 means that the sum of x and 3 is greater than 7.

Inequalities can be graphed on a number line, which is a horizontal line that represents the set of real numbers. To graph an inequality on a number line, you can draw a closed or open circle at the value of the variable that satisfies the inequality, and shade the region to the left or right of the circle, depending on the direction of the inequality.

For example, to graph the inequality x < 3, you would draw an open circle at 3 on the number line, and shade the region to the left of the circle, because x is less than 3. Similarly, to graph the inequality y ≥ -2, you would draw a closed circle at -2 on the number line, and shade the region to the right of the circle, because y is greater than or equal to -2.

Graphing inequalities on a number line is a useful tool for solving problems and visualizing the solutions to inequalities in one variable.

Let BC = x.

Using the Triangle Inequality on triangle ABD, we have:

AB + BD > AD

6 + x > 4 + 2

x > -4

Using the Triangle Inequality on triangle BDC, we have:

BC + CD > BD

x + 2 > 4

x > 2

Therefore, we have:

2 < x < 6

Now, we can use the Law of Cosines on triangle BDC:

BD² = BC² + CD² - 2BC·CD·cos(BDC)

Substituting known values and solving for x, we have:

4 = x² + 4 - 8x·cos(BDC)

x² - 8x·cos(BDC) + 0 = 0

x(x - 8·cos(BDC)) = 0

Since x cannot be zero, we have:

x - 8·cos(BDC) = 0

cos(BDC) = x/8

Using the Law of Cosines on triangle ACE:

AC² = AE² + CE² - 2AE·CE·cos(ACE)

Substituting known values and simplifying, we have:

(6 + x)² = 4² + 2² - 2·4·2·cos(ACE)

36 + 12x + x² = 20 - 16cos(ACE)

cos(ACE) = (12x + x² - 16)/(-16)

Since cos(BDC) = cos(ACE), we have:

x/8 = (12x + x² - 16)/(-16)

Simplifying and solving for x, we have:

8x² + 64x - x³ - 128 = 0

x³ - 8x² - 64x + 128 = 0

(x - 4)(x² - 4x + 32) = 0

The quadratic factor has no real roots, so we have:

x = 4

Therefore, the length of line BC is 4.

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The percentage of the increase in the cost of season tickets is 8%.

A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."

Given:

In the last year,

$2450 was the cost of the season ticket.

This year, the cost is $2,646.

Let n be the percentage in increase amount in the season ticket.

So, applying the percentage formula,

2646 - 2450 = (2450 x n/100)

196 = 2450 x n/100

19600 = 2450 x n

Applying cross multiplication,

we get,

n = 19600/2450

n = 8

Therefore, the required value of the percentage is 8%.

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The required height of domino number 7 is 11.76 cm (rounded to two decimal places).

Arithmetic progression is the series of numbers that have common differences between adjacent values.

Here,
Since each subsequent domino is 13% taller than the one before, we can find the height of each domino by multiplying the height of the previous domino by 1.13.

Starting with the height of the smallest domino, we can calculate the height of each subsequent domino using this rule:

Height of domino n = Height of domino (n-1) × 1.13

Using this formula, we can find the height of each domino:

Height of domino 1 = 5.00 cm × 1.13 = 5.65 cm

Height of domino 2 = 5.65 cm × 1.13 = 6.38 cm

Height of domino 3 = 6.38 cm × 1.13 = 7.21 cm

Height of domino 4 = 7.21 cm × 1.13 = 8.16 cm

Height of domino 5 = 8.16 cm × 1.13 = 9.22 cm

Height of domino 6 = 9.22 cm × 1.13 = 10.41 cm

Height of domino 7 = 10.41 cm × 1.13 = 11.76 cm

Therefore, the height of domino number 7 is 11.76 cm (rounded to two decimal places).

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The conversion of the unit centimeters to feet is written as 147 centimeters = 4.82283 feet.

Centimeters and feet are the units that are used for measuring the length of the any given parameter.

Conversion of the unit centimeter into feet is written as :

Value of  one centimeter =  0.0328084 feet.

To convert the given value 147 centimeters substitute in the given relation we have,

⇒ ( 147 × 1 ) centimeters = ( 147 ×  0.0328084 ) feet

⇒ 147 centimeters = ( 4.822835 ) feet

⇒  147 centimeters = ( 4.8228 ) feet ( Round upto four decimals )

Therefore, after conversion the measurements centimeters to feet we have 147 cm is equal to  ( 4.8228 ) feet ( Round upto four decimals ) .

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