what do you call the 9 in the statement 30% of 9 is 3

Answer:

53,412 and 66,894

Step-by-step explanation:

In this question we have to assume the things

Let us assume

Bill randall be X

So, the Corrine Brown is X + 13,482  as the corrine brown received 13,482 more votes than the Bill Randall

And, the total number of votes is 120,306

Now the equation is

X + X + 13,482 = 120,306

2X + 13,482 = 120,306

2X = 106824

X = 53,412 i.e Bill randall

And, the corrine brown is

= 13,482 + 53,412

= 66,894

To find the surface area of the smaller pyramid, we can use the concept of similarity. The ratio of the base areas of the two pyramids is equal to the square of the ratio of their heights.

Let's call the height of the larger pyramid h1 and the height of the smaller pyramid h2. The ratio of their heights is h1/h2 = √(base area of larger pyramid/base area of smaller pyramid) = \(√(16 cm^2/12.2 cm^2).\)

Given that the surface area of the larger pyramid is 56 cm^2, we can find the surface area of the smaller pyramid by using the formula: surface area of smaller pyramid = (base area of smaller pyramid) * (height of smaller pyramid + (base perimeter of smaller pyramid * (h1/h2)) / 2.

Plugging in the values, we get: surface area of smaller pyramid =\(12.2 cm^2 * (h2 + (4 * h1/h2)) / 2.\)

We can simplify this equation to: surface area of smaller pyramid = \(12.2 cm^2 * (h2 + 2h1/h2).\)

To find the surface area of the smaller pyramid, we need to substitute the value of h1 and the given surface area of the larger pyramid into this equation. Unfortunately, the information given does not include the height of the larger pyramid. Therefore, we cannot determine the surface area of the smaller pyramid.

Regarding the second part of your question, without any information about the dimensions or properties of the other triangular prisms, it is impossible to determine which prism is similar to the described prism.

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The correct answer is the first Option i.e., 40.1 cm². The surface area of the smaller pyramid is approximately 40.1 cm². The surface area of a pyramid is found by adding the area of the base to the sum of the areas of the lateral faces. Since the two pyramids are similar, the ratio of their surface areas will be the square of the ratio of their corresponding side lengths.

Let's find the ratio of the side lengths first. The ratio of the base areas is given as 12.2 cm² : 16 cm². To find the ratio of the side lengths, we take the square root of this ratio.

    \(\sqrt {\frac{12.2}{16} } = \sqrt {0.7625} \approx 0.873\)

Now, we can find the surface area of the smaller pyramid using the ratio of the side lengths. We know the surface area of the larger pyramid is 56 cm², so we can set up the equation:

    (0.873)² × surface area of the smaller pyramid = 56 cm²

Solving for the surface area of the smaller pyramid:

    (0.873)² × surface area of the smaller pyramid = 56 cm²
=> Surface area of the smaller pyramid = 56 cm² / (0.873)²

Calculating this value:

    Surface area of the smaller pyramid ≈ 40.1 cm²

Therefore, the surface area of the smaller pyramid is approximately 40.1 cm².

In conclusion, the surface area of the smaller pyramid is approximately 40.1 cm².

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Option B "Perpendicular Lines"  is correct.

"Perpendicular Lines" are two lines that intersect at a right angle, forming 90-degree angles between them. Thus, Option B holds the truth.

Perpendicular lines are a fundamental concept in geometry and they are defined as two lines that meet at a right angle; forming four 90-degree angles. This means that the slopes of the two lines are negative reciprocals of each other. Perpendicular lines are important in many areas of mathematics and physics because they allow us to calculate angles, distances and other geometric properties.

Perpendicular lines are useful in many practical applications such as: architecture, engineering and construction. By understanding the properties of perpendicular lines, one can better understand the geometry of our world and solve real-world problems.

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Answer:

12 pies

Step-by-step explanation:

Espanol:

Sabemos que el área es 108 y un lado, el ancho, es 9.

Esto significa que podemos dividir 108/9 para obtener la longitud, ya que la fórmula es:

\(A=lw\) (ingles)

\(A=la\)(espanol)

Podemos sustituir en 108 y 9 en esta ecuación:

108=9a

Dividir ambos lados por 9:

a=12

12 pies

¡Espero que esto ayude! :)

The five-number summary first need to sort the data in ascending order. Then we can find the minimum value is the smallest data point and the maximum value is the largest data point.

Generally, the five-number summary is a set of descriptive statistics that summarizes a dataset.

It includes the minimum value the first quartile (Q1) the median (Q2) the third quartile (Q3) and the maximum value.

These statistics divide the dataset into four equal parts with the median being the middle value.

Q1 is the value below which 25% of the data falls and Q3 is the value below which 75% of the data falls.

The median is the middle value of the dataset or the average of the two middle values if the dataset has an even number of values.

Q1 is the median of the lower half of the dataset and Q3 is the median of the upper half of the dataset.

Once you provide the table or data I can help you find the five-number summary that matches the data.

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The solution is Option B.

The equation of line is given by y = ( -3/4 )x + 4 , where the rate of change is the slope m = ( -3/4 ) and the initial value is 4

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

A line is graphed that passes through the y-intercept at 4 and through the point P ( 4 , 1 )

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

Substituting the values in the equation , we get

y = mx + 4   be equation (1)

when y = 1 , x = 4

1 = 4m + 4

Subtracting 4 on both sides of the equation , we get

4m = -3

Divide by 4 on both sides of the equation , we get

m = -3/4

So , the slope of the line is m = -3/4

Therefore , the equation of line is y = ( -3/4 )x + 4

Now , the initial value of the equation is when x = 0

So ,

y = ( -3/4 ) ( 0 ) + 4

y = 4

So , the initial value of f ( 0 ) = y = 4

Hence , the equation of line is y = ( -3/4 )x + 4

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Answer:

False

Step-by-step explanation:

4/8 equals to 1/2 but 6/10 equals to 3/5. Correct would be if it was 5/10

If the length of rectangular school hall is 4 times the width and the perimeter be 55m, then the length is 22m and the width of the school hall be 5.5m.

Given that the length of  rectangular school hall is 4 times the width.

We are required to find the length and breadth of the rectangle which has the length be 4 times the width.

Perimeter of rectangle is the sum of all the length and breadth of that rectangles.

Perimeter of rectangle is given as 55m

Perimeter=2(L+B)

let the width of rectangle be x.

Length of that rectangle be 4x.

According to question,

2(x+4x)=55

2*5x=55

10x=55

x=55/10

x=5.5 m

Width be 5.5 m.

Length of rectangle be 4*5.5=22m.

Hence if the length of rectangular school hall is 4 times the width then the length is 22m and the width of the school hall be 5.5m.

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The point on the line segment that is 3/4 of the way from A to B is (8,5.5).

To find the point on the line segment that is 3/4 of the way from A to B, we can use the formula for finding a point on a line segment:

P = (1-t)A + tB

Where P is the point we are trying to find, A and B are the endpoints of the line segment, and t is the fraction of the distance from A to B that we want to find. In this case, t = 3/4.

Plugging in the values for A, B, and t, we get:

P = (1-3/4)(5,-5) + (3/4)(9,9)

Simplifying, we get:

P = (1/4)(5,-5) + (3/4)(9,9)

P = (1.25,-1.25) + (6.75,6.75)

P = (8,5.5)

So the point on the line segment that is 3/4 of the way from A to B is (8,5.5).

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Answer:

a. 120 represents the total number of cow legs and chicken legs

b. 48 represents the total number of cow heads and chicken heads

c. System:

        Let x = number of cows

        Let y = number of chickens      

        1. 2x + 4y = 120

        2. x + y = 48

d. I am going to use substitution for this problem

    Step 1: Solve for y in the equation x + y = 48

         1. x + y = 48 → y = -x + 48

    Step 2: Substitute -x + 48 for y in 2x + 4y = 120    

         2. 2x + 4(-x + 48) = 120

    Step 3: Solve for x

         3. 2x - 4x + 184 = 120 → -2x + 184 = 120 → -2x = -64 → x = 32

    Step 4: Sustitute 32 for x in x + y = 48

         4. (32) + y = 48

    Step 5: Solve for y

         5. y = 16

    Number of chickens on the farm (y) = 16

    Number of cows on the farm (x) = 32

Step-by-step explanation:

All of it is above :)

Answer:

\(83\frac{1}{3} miles\)

Step-by-step explanation:

90/100=75/x

90x=100(75)

90x=7500

/90.  /90

x=83 1/3 miles

Hopes this helps

z_1 and z_2 are complex number;

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

To calculate z₁z₂ and z₁/z₂, we need to perform the complex number operations on z₁ and z₂. Let's break down the calculations step by step:

i) To find z₁z₂, we multiply the magnitudes and add the angles:

z₁z₂ = 4cos(cos(π/4) + isin(π/4)) * 2cos(2π/3) + isin(2π/3))

= 8cos((cos(π/4) + 2π/3) + isin((π/4) + 2π/3))

= 8cos(7π/12) + isin(7π/12)

ii) To find z₁/z₂, we divide the magnitudes and subtract the angles:

z₁/z₂ = (4cos(cos(π/4) + isin(π/4))) / (2cos(2π/3) + isin(2π/3))

= (4cos((cos(π/4) - 2π/3) + isin((π/4) - 2π/3))) / 2

= 2cos(π/12) + isin(π/12)

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

Please note that the given calculations are based on the provided complex numbers and their angles.

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Euler's result, which states that the sum of the p-series with p greater than 1 is finite, allows us to determine the sum of the series where p equals 4. There must be an error in the ruler's calculation. The sum of the p-series with p = 4 is infinite, as calculated by the ruler, but Euler's result contradicts this.

The p-series is a mathematical series of the form Σ(1/n^p), where n ranges from 1 to infinity and p is a positive constant. Euler's result provides a criterion for determining whether the series converges (has a finite sum) or diverges (has an infinite sum) based on the value of p. According to Euler's result, if p is greater than 1, the series converges and has a finite sum. However, if p is less than or equal to 1, the series diverges and has an infinite sum. In this case, we are given p = 4, which is greater than 1. Hence, Euler's result tells us that the series should converge and have a finite sum. However, the ruler's calculation suggests that the sum of the p-series with p = 4 is infinite. This contradicts Euler's result and indicates that there must be an error in the ruler's calculation. It is possible that the ruler made a mistake in evaluating the series or misinterpreted the result. In conclusion, Euler's result states that the sum of the p-series with p greater than 1 is finite. Therefore, the ruler's finding of an infinite sum for the series with p = 4 must be incorrect. To find the accurate sum of the series, we need to reevaluate the series using proper mathematical techniques or consult reliable sources for the correct value.

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Answer:

100% increase

Step-by-step explanation:

Answer:

100% increase

Step-by-step explanation:

1.6 plus 100% = 3.2 :)))

The proportion of persons who are 38 years old or older is 0.25.

Proportion is defined as when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal. It is a mathematical comparison between two numbers.

Proportion = (number of persons 38 years old or older) / (total number of persons)

For example, if there are 100 persons and 25 of them are 38 years old or older, the proportion would be:
Proportion = 25 / 100 = 0.25

To round to 2 decimal places, we would round 0.25 to 0.25.

So the proportion of persons who are 38 years old or older is 0.25, or 25%.

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Answer:

It's log 420

Step-by-step explanation:

The simplify value of numeric expression, 3 + 2, after adding 3456 then subtracting 45 and then dividing by 20 is equals the 17.8.

We have an expression of numbers, 3 + 2 we have to apply some arithematic operations on it and determine the final simplfy value. Let the expression be x = 3 + 2, add 3456 in it

=> x = 3 + 2 + 3456

Substracts 45 from above expression

=> x = 3 + 2 + 3456 - 45

Dividing the above expression of x by 20

=>

\(\frac{ x } {20} = \frac{ 3 + 2 + 3456 - 45}{20}\)

\(= \frac{3416}{20}\)

= 17.8

Hence, required simplify value is 17.8.

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Answer:

The mean is 30

The measurement that is closest to the lateral surface area of the cylinder is 132.15 square centimeters.

To determine the lateral surface area of a cylinder, you can use the formula 2πrh, where "r" represents the radius of the circular base of the cylinder, and "h" represents the height of the cylinder. This formula calculates the total area of the curved part of the cylinder, excluding the top and bottom circular bases.

The height of the cylinder is 5.8 cm and the radius of the circular base is 7.6/2 = 3.8 cm.

So, the lateral surface area of the cylinder is approximately:

2π(3.8)(5.8) ≈ 132.15 cm²

The value that is nearest to the lateral surface area of the cylinder is 132.15 square centimeters.

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Answer:

RT || AB

Step-by-step explanation:

The answer to your question is that segment RT is parallel to AB.

And for those of you who encounter AB || ?

The answer is RT.

Both questions are rewrites.

RT || AB if R and T are the midpoints of AC and BC. Then the correct option is C.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

R, S, and T are midpoints of AC, AB, and CB.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

A line is parallel to the right side if it divides any two triangles sides in a similar ratio.

RT || AB if R and T are the midpoints of AC and BC. Then the correct option is C.

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The measure of angle F in triangle DEF is approximately 46.93 degrees.

To find the measure of angle F in triangle DEF, we can use the Law of Cosines.The Law of Cosines states that in a triangle with sides a, b, and c, and angle C opposite side c, the following equation holds:

\(c^2 = a^2 + b^2 - 2ab * cos(C)\)

In triangle DEF, we know the lengths of sides d, e, and f:

d = 12 ft

e = 10 ft

f = 9 ft

Let's denote the measure of angle F as angle C, and the length of side f as side c.

c = f = 9 ft

a = d = 12 ft

b = e = 10 ft

Using the Law of Cosines, we can solve for angle C (m∠ F):

\(c^2 = a^2 + b^2 - 2ab * cos(C)\)

\((9 ft)^2 = (12 ft)^2 + (10 ft)^2 - 2 * 12 ft * 10 ft * cos(C)\)

81 = 144 + 100 - 240 * cos(C)

-163 = -240 * cos(C)

cos(C) = -163 / -240

cos(C) ≈ 0.6792

To find angle C, we can take the inverse cosine (cos^-1) of 0.6792:

C ≈ cos^-1(0.6792)

C ≈ 46.93 degrees

Therefore, the measure of angle F in triangle DEF is approximately 46.93 degrees.

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it would take 1872 Joules of work to stretch the spring 12 m beyond its natural length.

What is Hooke's Law?

Hooke's  is a principle in physics that describes the relationship between the force applied to an elastic object (such as a spring) and the resulting deformation or change in length of the object. It states that the force required to stretch or compress an elastic object is directly proportional to the displacement or change in length from its natural or equilibrium position.

To find the work required to stretch the spring 12 m beyond its natural length, we need to consider the relationship between force and displacement in Hooke's Law.

Hooke's Law states that the force required to stretch or compress a spring is directly proportional to the displacement from its natural length. Mathematically, it can be expressed as:

F = k * x

where F is the force applied to the spring, k is the spring constant, and x is the displacement from the natural length.

In this case, we are given that a force of 65 N stretches the spring 2.5 m beyond its natural length. Using Hooke's Law, we can calculate the spring constant:

65 N = k * 2.5 m

k = 65 N / 2.5 m

Now, we can determine the work required to stretch the spring 12 m beyond its natural length. The work done is given by the formula:

\(Work = (1/2) * k * x^2\)

where x is the displacement from the natural length.

For x = 12 m, we can substitute the values into the formula:

\(Work = (1/2) * (65 N / 2.5 m) * (12 m)^2\)

\(Work = (1/2) * (65 N / 2.5 m) * 144 m^2\)

Work = (1/2) * 65 N * 57.6 m

Work = 1872 J

Therefore, it would take 1872 Joules of work to stretch the spring 12 m beyond its natural length.

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Answer:

It only shows, "Download PDF"

Step-by-step explanation:

Sorry!!! Can't help!

Try taking a pic of it

Answer:

B. -1

Step-by-step explanation: