state if polygons are similar

The length of the diameter of circle is 12 feet .

Given equation of circle,

(x - 13)² + (y + 20)² = 36

Now let us see the standard form of equation of circle,

Since, the equation of a circle is,

\({(x-h)^2} + (y - h)^2 = r^2\)

Where,

(h, k) is the center of the circle,

r = radius of the circle,

Comparing it with the standard form  the values of h, k , r are:

Here,

(h, k) = (13, -20)

r²  = 36

r = 6 units,

Now,

Diameter is double than that of radius.

So,

d = 2r

d = 12 feet

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Group of angles measures 43° = angle  1 , 3 , 5.

Alternate angles are angles that occur on opposite sides of the transversal line and have the same size. Each pair of alternate angles around the transversal are equal to each other. The two angles can either be alternate interior angles or alternate exterior angles.

In geometry, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet. They can be both horizontal and vertical. We can see parallel lines examples in our daily life like a zebra crossing, the lines of notebooks, and on railway tracks around us.

Given : A pair of parallel lines is cut by a transversal.

To find : Which group of angles measures 43°.

Solution : We have given A pair of parallel lines is cut by a transversal.

∠1 + 137 ° = 180° ( Linear pair angle ) .

On subtracting both sides by 137

∠1  = 180 -137 .

∠1  = 43°.

then ,∠1 = ∠3    ( Vertically opposite angles) So , ∠3 = 43°.

Now ,  ∠3 =  ∠5 ( Alternate interior angle ) .

So, ∠5 = 43°.

group of angles measures 43° = angle  1 , 3 , 5.

Therefore,C) Group of angles measures 43° = angle  1 , 3 , 5.

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Answer:

5 nickels

Skills needed: Coins and Money

Step-by-step explanation:

1) We need to understand the different coins in the problem.

There is a nickel in the problem.

The problem states that:

- A nickel is \(\$0.05\) which is \(5 \text{ } cents\)

From above: A nickel is 5 cents.

2) After understanding the coin values, we need to understand what the problem is asking. It asks how many nickels Sam has if he has $0.25 (25 cents) in nickels.

---> In other words: How many nickels make up 25 CENTS?

- We can use division for that:

\(25 \text{ } cents \div 5 \text{ } cents = nickels\)

(The amount of money divided by the money value of a nickel will equal the number of nickels).

---> 25 divided by 5 is 5.

5 would be your answer.

Answer:

  1/(8b^2a^8)

Step-by-step explanation:

The given expression can be simplified using the rules of exponents.

  \(ba^4\times(2ba^4)^{-3}=\dfrac{ba^4}{(2ba^4)^3}=\dfrac{ba^4}{8(ba^4)^3}=\dfrac{1}{8(ba^4)^2}=\boxed{\dfrac{1}{8b^2a^8}}\)

__

The applicable rules of exponents are ...

  a^-b = 1/a^b

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

__

Additional comment

It can be useful to think of an exponent as indicating repeated multiplication: 2^3 = 2×2×2, for example. Of course, the repeated multiplication can be nested: (4^2)^3 = (4^2)×(4^2)×(4^2) = (4×4)×(4×4)×(4×4) = 4^6

Numerator and denominator factors cancel in the usual way.

Answer:

B. Yes, the constant of proportionality is 2.

Step-by-step explanation:

Given:

A linear relationship is shown in the table.

Time (hours) 2 4 6 8

Distance (miles) 4 8 12 16

Is the linear relationship also proportional? Explain.

A. No, the constant of proportionality is 2.

B. Yes, the constant of proportionality is 2.

C. No, there is no constant of proportionality.

D. Yes, there is no constant of proportionality.

Solve:

To know if a linear relationship is proportional, all we have to find out is if after we divide distance by time and if all equal the same. Ex: 4/4=1,3/3=1. As we can see all are equal to 1.

Let's see the table:

Time (hours)                    Distance (miles)

2                                                  4

4                                                  8

6                                                  12

8                                                  16

The formula for it is 'k=y/x'

where;

k: constant of proportionality  

y and x are two quantities that are directly proportional to each other.

Also means;

y = Distance

x = Time(Hours)

Time (hours)                    Distance (miles)

2                                                  4                                                4/2=2

4                                                  8                                                8/4=2

6                                                  12                                               12/6=2

8                                                  16                                                16/8=2

As you see all equal to 2. It a constant. Also means that;

Yes, the linear relationship is proportional and the constant of proportionality is 2.

Answer: B. Yes, the constant of proportionality is 2.

RevyBreeze

Answer:

Please find the required line chart created with MS Excel

Step-by-step explanation:

Question:

The given data are;

3/4, 1 1/2, 2, 1 1/4, 3/4, 2, 1 1/2, 1 1/4, 1 1/2, 1/2, 1

In the question, it is required to create a line plot to represent the data

The given data can be sorted in ascending order in decimal form as follows;

0.5, 0.75, 0.75, 1, 1.25, 1.25, 1.5, 1.5, 1.5, 2

The line chart created with MS Excel is attached.

Answer:

3/4, 1 1/2, 2, 1 1/4, 3/4, 2, 1 1/2, 1 1/4, 1 1/2, 1/2, 1

In the question, it is required to create a line plot to represent the data

The given data can be sorted in ascending order in decimal form as follows;

0.5, 0.75, 0.75, 1, 1.25, 1.25, 1.5, 1.5, 1.5, 2

Step-by-step explanation:

To employ a Centre of enlargement, lines must be drawn across the original shape's vertices at the center and through each of the edges. We refer to these as ray lines. E.g. The triangle ABC in this example has been scaled up by a factor of two around the enlargement's Centre, point O.

E.g.

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To employ a Centre of enlargement, lines must be drawn across the original shape's vertices at the center and through each of the edges. We refer to these as ray lines. E.g. The triangle ABC in this example has been scaled up by a factor of two around the enlargement's Centre, point O.

By multiplying the original shape by a scale factor, we can change the size of the shape and make it bigger or smaller. This type of modification is called an expansion.

To employ a Centre of enlargement, lines must be drawn across the original shape's vertices at the Centre and through each of the edges. We refer to these as ray lines.

E.g.

In this instance, scale factor 1 has been used to increase triangle ABC.

A Centre of enlargement point O is surrounded by 3 3 1s. The form gets smaller if the enlargement is between 0 0 and 1 1. The new triangle has the letters A, B, and C.

The lengths of the new shape's sides are one-third that of the sides of the original shape.

Parallel lines connect the groups of corresponding sides.

The angles are the same in both shapes, and the triangles resemble one another.

Mathematical mappings include transformations like enlargements. The word "maps" is thus frequently used in questions.

An instruction in mathematics is a mapping, and an instruction in mathematics that affects a shape is a transformation.

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The major shortcoming of the general linear probability model y = β0 + β1x1 + β2x2 + … + βkxk + ε, is that the predicted values of y can be sometimes greater than 1 or less than 0.

The linear probability model does not take into account the fact that probabilities are bounded between 0 and 1. As a result, the predicted values of y can sometimes fall outside of this range, which is not meaningful or interpretable in terms of probability. To address this issue, alternative models such as logistic regression or probit regression can be used, which are specifically designed to model probabilities and ensure that predicted values fall within the appropriate range. These models use non-linear functions to map the values of the independent variables to probabilities, thereby avoiding the problem of predicted values falling outside the valid range.

Therefore,the major shortcoming of the general linear probability model y = β0 + β1x1 + β2x2 + … + βkxk + ε, is that the predicted values of y can be sometimes greater than 1 or less than 0.

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The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

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

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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The statement that is false about the relationship of L, M, and P that are collinear is: 3. LM + MP = 180.

When two or more points are on a straight line, they are classified as collinear points.

The point on a line segment that bisects the segment into two equal parts is referred to as the midpoint of the line segment.

We are given that:

LM = MP, since, points L, M. and P are collinear points, therefore, it implies that point M is the midpoint of segment LP.

It also means that M bisects segment LP since LM = MP, where M is the midpoint of segment LP.

Thus, the statement that is false about the relationship of L, M, and P that are collinear is: 3. LM + MP = 180.

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Answer:

7 feet per second

Step-by-step explanation:

The change in elevation of the parachutist is -35 ft in 5 seconds. To find the change in elevation per second, we can divide the total change by the number of seconds.

Change in elevation per second = -35 ft / 5 seconds = -7 ft/s

So the parachutist's elevation changes by -7 ft/s each second.

It means the elevation of the parachute is decreasing by 7 feet per second.

The function (x3 + 2x)/(2x + 1) is o(x2) as x approaches 0.

To prove that (x3 + 2x)/(2x + 1) is o(x2), we need to show that its limit as x approaches 0 is 0. We can use L'Hopital's Rule to evaluate the limit:

lim x→0 (x3 + 2x)/(2x + 1)

= lim x→0 (3x2 + 2)/(2)

= 1

Since the limit of (x3 + 2x)/(2x + 1) as x approaches 0 is 1, which is not equal to 0, the function is not O(x2) as x approaches 0. However, since the limit of the function divided by x2 as x approaches 0 is equal to 0, we can conclude that (x3 + 2x)/(2x + 1) is o(x2) as x approaches 0.

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Answer:

(0) = 0.9(-6.333) - 5.7

Step-by-step explanation:

The lake activity with a central angle of 46.8° is waterskiing, since it is the lake activity chosen by 13% of the campers.

what is central angle ?

A central angle is an angle formed by two radii of a circle that intersect at its center. The central angle is measured in degrees and is used in circle graphs or pie charts to represent the proportion or percentage of each category in the data.

In the given question,

To find out which lake activity has a central angle of 46.8°, we first need to calculate the total number of campers who participated in the survey:

Total number of campers = 15 + 11 + 7 + 13 + 54 = 100

Next, we need to find the percentage of campers who chose each lake activity:

Percentage of campers who chose kayaking = (15/100) x 100% = 15%

Percentage of campers who chose wakeboarding = (11/100) x 100% = 11%

Percentage of campers who chose windsurfing = (7/100) x 100% = 7%

Percentage of campers who chose waterskiing = (13/100) x 100% = 13%

Percentage of campers who chose paddleboarding = (54/100) x 100% = 54%

Now we can use the formula for calculating the central angle of a circle graph:

Central angle = (Percentage/100) x 360°

For the lake activity with a central angle of 46.8°, we can set up the following equation:

(Percentage/100) x 360° = 46.8°

Solving for Percentage, we get:

Percentage = (46.8°/360°) x 100% = 13%

Therefore, the lake activity with a central angle of 46.8° is waterskiing, since it is the lake activity chosen by 13% of the campers.

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Intellectually gifted people score in the top 1 - 2percent on a standard IQ test.

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

IQ of intellectual gifted people

The general rule is that

People with intellectuals are usually ranked high and the range is usually small

Next, we test the options

A. 10

The top 10% has a high range

B. 5-10

The top 10% omits people in top 5%

C. 5

The top 5% has a high range

D. 1-2

This has a small range and it is the highest

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The Probability (first card is a Queen) is not equal to P(second card is a Queen) in this scenario.

The probability of drawing a Queen as the first card: P(first card is a Queen) = 4/52 (since there are 4 Queens in a deck of 52 cards)

After removing one Queen from the deck, there are now 51 cards left, and 3 Queens remaining.

The probability of drawing a Queen as the second card: P(second card is a Queen) = 3/51

To determine if the probabilities are equal, we can compare the fractions:

P(first card is a Queen) = 4/52 = 1/13 P(second card is a Queen) = 3/51

Since 1/13 is not equal to 3/51, we can conclude that P(first card is a Queen) is not equal to P(second card is a Queen) in this scenario.

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Answer:50 penguins it’s right

Answer:

Work shown below!

Step-by-step explanation:

f(n) = 16 - 2(n - 1)

f(1) = 16 - 2(1 - 1)

f(1) = 16 - 2(0)

f(1) = 16

Common difference is -2

Answer:

x=2, x=5

Step-by-step explanation:

It’s easier to factor and get the answers:

(-x+5)(x-2)

So x=2, x=5

But if it must be done by quadratic formula:

x=(-7±(√7²-4(-1)(-10))/2(-1)

x=(-7÷√9)/-2

x=(-7±3)/-2

x=4/2, x=10/2

x=2, x=5

Answer:

D. 67

Step-by-step explanation:

\(f(x)=x^{4} +6x^{3} +3\\\)

put x=2

\(f(2)=2^{2} +6(2)^{3} +3\\\)

\(15+6*8+3\)

\(16+48+3\)

\(16+51\)

\(=67\)

So option D

\(--------\)

hope it helps..

have a great day!!

The function f(x) after evaluation at {x} = 2 is equal to 67.

A function is a relation between a dependent and independent variable. We can write the examples of function as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is to evaluate the function f(x) = x⁴ + 6x³ + 3 at {x} = 2.

The given function is -

f(x) = x⁴ + 6x³ + 3

Now, for {x} = 2, we can write that -

f(2) = 2⁴ + 6(2)³ + 3

f(2) = 16 + 6 x 8 + 3

f(2) = 16 + 48 + 3

f(2) = 67

Therefore, the function f(x) after evaluation at {x} = 2 is equal to 67.

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Here are three pairs of binomial dividend and divisor and in each pair, the dividend is in the form of (a² - b²), and the divisor is either (a + b) or (a - b). The quotient is obtained by dividing the dividend by the divisor using binomial division rules.

Pair 1:

Dividend: (a² - b²)

Divisor: (a + b)

Quotient: (a - b)

Pair 2:

Dividend: (4x² - 9)

Divisor: (2x - 3)

Quotient: (2x + 3)

Pair 3:

Dividend: (9y² - 16)

Divisor: (3y - 4)

Quotient: (3y + 4)

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1 yard = 3 feet

3ft * 2 yards = 6 feet

$1.26 / 6ft = $0.21 / ft

Step-by-step explanation:

Jimmy's group : has 841 students

Lauren's group: has 351 students

9 vans  16 buses

8 vans 5 buses              

Vans: V

Buses: B

9v + 16b = 841

9v + 16b = 841

        -16b     -16b

9v/ 9 = 841 /9 - 16b/9

8( 841/9 - 16b/9) +5b = 351

v - (841/ 9 - 16b / 9 )

8 (841 / 9 - 16b/9) +5b =  351

6728/9 - 128b / 9 +5b = 351

-128b/9 + 45b/9 = -83/9b

6728/9 -83/9

- 6728/9   +83/9 = 3159/9 - 6728/9

(9)83b / 9 = -3569 (9)/9

-83b = -3564

-83        -83

B = 43 students

8v + 5b = 351  

8v + 5 (43) = 351

8v + 215 = 315

      -215      -215

8v = 136

8        8

V = 17 students

43 students can fit on a bus and 17 students can fit in a van.

Answer:

ill answer

Step-by-step explanation:

but what is the question please make me brillianist

Answer:

This answer is based on that I don't know what that 2 is for

Step-by-step explanation:

There are many different answers for this question

Area is l times w so 4 times 4 = 16 the lengths could be 4

If one of the sides is 2 then the length must be 8 because 8 times 2 is 16

Answer:

$337.12

Step-by-step explanation:

Multiply $1562 by 78.5% (or 0.785) =1230.88

Then subtract the percent of her paycheck spent (1230.88) from the total of her paycheck(1562) to find out how much is missing(the mortgage payment)

1562-1230.88=337.12