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Complete the two-column proof of the Segments of Chords Theorem.

Please correct me for any of the answers I got wrong.

Answer:

A = [tex]8\sqrt{110}[/tex] [tex]inches^{2}[/tex]

Step-by-step explanation:

In this question, we are tasked with calculating the area of a triangle given the length of its three sides

Mathematically, we can calculate this using the Heron's formula

For Heron's formula, A = [tex]\sqrt{S(S-A)(S-B)(S-C)}[/tex]

WHERE S = [tex]\frac{A+B+C}{2}[/tex]

we take the lengths of the triangle as A,B and C respectively as given

S = (12 + 14 + 18)/2 = 22

Plugging the values into the equation, we have;

A = [tex]\sqrt{22(22-12)(22-14)(22-18)}\\ \\\sqrt{22(10)(8)(4)} \\\\\sqrt{7040}[/tex]

A = [tex]8\sqrt{110}[/tex] [tex]inches^{2}[/tex]

Answer:

8*sqrt(110)

Step-by-step explanation:

Answer:

(7-4)/(6-2)= 3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Rise/ Run = (7-4)/(6-2) = 3/4

Respuesta:

se comunican 27 personas 9 +14+4=27 personas

Explicación paso a paso:

para resolver vean los datos en la tabla de frecuencia que van a desarrollar

observamos el intervalo [77; 81[ a partir de el determinamos la cantidad de personas que se comunican 77 minutos o mas minutos

The simplified expression for the number of moons of Neptune, based on the variable for Mars' moons m, is 6m + 2, meaning Neptune has twice as many moons as Mars plus two more.

The student has asked to write and interpret a simplified expression that represents the number of moons of Neptune, based on the information that Mars has m moons, Pluto has one more than twice the number of moons of Mars, and Neptune has one less than three times the number of moons of Pluto.

Let's denote the number of moons of Mars as m. According to the information, Pluto has 2m + 1 moons. Therefore, Neptune would have 3(2m + 1) - 1 moons. Simplifying this expression:

Neptune's moons = 3(2m + 1) - 1

= 6m + 3 - 1

= 6m + 2

The simplified expression 6m + 2 represents the number of moons of Neptune, which means that Neptune has twice as many moons as Mars plus an additional two moons.

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Answer:

The answer is

D. 8 inches

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cylinder this time.

Given data

Volume of cylindrical shape v=

56.52 inch³

Diameter of cylindrical glass d= 3

inch

But raduis r =diameter/2=3/2= 1.5

inch

We know that the the expression for the volume of a cylinder is given as

v= πr²h

Substituting our given data to solve for the height h

56.52= 3.14*(1.5)²*h

56.52= 7.065h

h= 56.52/7.065

h= 8 inches

To calculate the height of the cylindrical glass, use the volume formula with the radius from the diameter, and solve for the height. The final calculation shows that the glass is 8 inches tall, corresponding to option D.

To find the height of a cylindrical drinking glass given its volume and diameter, we can use the formula for the volume of a cylinder: V = πr²h, where V is the volume, π (pi) is a constant approximated as 3.14, r is the radius of the cylinder, and h is the height of the cylinder.

Since the diameter is given as 3 inches, the radius r is half of that, which is 1.5 inches. By substituting the values into the formula and solving for h, we get:

V = πr²h

56.52 = 3.14 × (1.5)² × h

56.52 = 3.14 × 2.25 × h

56.52 = 7.065 × h

h = 56.52 / 7.065

h = 8 inches

Therefore, the height of the drinking glass is 8 inches, which corresponds to choice D.

Answer:

I believe the answer is C, x+1 :)

Answer:

13

Step-by-step explanation:

Answer:

A = Quartile 1 = 74.725

B = Median (quartile 2) = 80.25

C = Quartile 3 = 82.125

D = Minimum = 74.1

E = Maximum = 82.7

Step-by-step explanation:

The values for the data for the average life expectancy are as follows;

North Carolina                    79.6  

Oregon                                82  

District of Columbia           77.9

Nevada                               81.3  

New York                           82.5  

Colorado                            80.9  

Alaska                                74.9  

Connecticut                       82.7  

Montana                            74.1  

Mississippi                         74.2  

Sorting the data we have;

74.1

74.2

74.9

77.9

79.6

80.9

81.3

82

82.5

82.7

The minimum value is 74.1

The maximum value is 82.7

The 1st quartile is the [tex]\frac{10 + 1}{4} th[/tex] term or 74.725

The median 2nd quartile is the [tex]\frac{10 + 1}{2} th[/tex] term and the value is 80.25

Third quartile value is the[tex]\frac{3\times (10 + 1)}{4} th[/tex] term or 82.125.

Answer:

g(x) = 1

Step-by-step explanation:

To estimate the total number of games during the baseball tournament, round the daily games (16) to the nearest ten (20) and multiply by the number of days (10), resulting in an estimated 200 games.

To estimate the number of baseball games during Lansing's annual baseball tournament, we can round the larger number to the nearest ten and then multiply it by the number of days in the tournament. The larger number, representing the number of games per day, is 16. Rounding 16 to the nearest ten gives us 20. As the tournament lasts 10 days, we calculate the total by multiplying these two numbers.

Estimated total number of games = Rounded number of games per day x Number of days in the tournament
Estimated total number of games = 20 x 10
Estimated total number of games = 200 games.

Answer:

182

Step-by-step explanation:

Reverse the problem,

13 x 14 = ?

13 x 14 is 182

182/13=14

Answer:

the answer is A

Step-by-step explanation:

if you are really stuck just go through each possible answer to see if its right

here is some help for solving:

area is equal to length times width or   A = L x W

perimeter is equal to length plus width plus length plus width or L+W+L+W

perimeter is just adding up all the sides of the square or rectangle

so if you try with answer a you get:

2 x 6 = 12   and   2 + 6 + 2 + 6 = 16

the answer is A

Answer: 46%

Step-by-step explanation:

Since the number of baby carrots in a bag is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = the number of baby carrots in the bag.

µ = mean

σ = standard deviation

From the information given,

µ = 94 carrots

σ = 8.2 carrots

The probability that a bag of baby carrots have between 90 and 100 carrots is expressed as

P(90 ≤ x ≤ 100)

For x = 90,

z = (90 - 94)/8.2 = - 0.49

Looking at the normal distribution table, the probability corresponding to the z score is 0.31

For x = 100,

z = (100 - 94)/8.2 = 0.73

Looking at the normal distribution table, the probability corresponding to the z score is 0.77

Therefore,

P(90 ≤ x ≤ 100) = 0.77 - 0.31 = 0.46

The percent of the bags of baby carrots that have between 90 and 100 carrots is

0.46 × 100 = 46%

Answer:

There are 178 more boys in Barlow school as compared to Willow school.

Step-by-step explanation:

We are given the following in the question:

Barlow school:

Total number of students = 873

Number of boys =

[tex]=\dfrac{4}{9}\times 873 = 388[/tex]

Willow school:

Total number of students = 630

Number of girls =

[tex]=\dfrac{2}{3}\times 630 = 420[/tex]

Number of boys =

Total number of students - total number of girls

[tex]=630-420 = 210[/tex]

Thus, Barlow school has greater number of boys than Willow school.

Difference between the number of boys =

[tex]=388-210\\=178[/tex]

Thus, there are 178 more boys in Barlow school as compared to Willow school.

A 'directly proportional' has a constant change in the x values and a constant ratio in the y values' is filled by the term .

A directly proportional relationship between two variables means that there is a constant change in the x values and a constant ratio in the y values. In mathematical terms, we say that y is directly proportional to x if y = kx, where k is known as the proportionality constant. This implies that for any constant increment in x, there will be a proportional constant change in y.

If we plot a graph of two variables that are directly proportional, the result is a straight line that passes through the origin (0, 0). This is because the ratio y/x remains constant at the value of k. The slope of this line represents the constant rate of change between y and x, and the slope is equal to the proportionality constant k.

The square root of a positive number cannot be negative, all positive numbers have two square roots, and 25 = 5 because 52 = 25.

The statements that are true about square roots are:

These statements are correct because the square root of a positive number will always be positive, every positive number has two square roots (one positive and one negative), and the square root of 25 is 5 because 5 multiplied by itself is equal to 25.

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(−3x)(y3)+7xy3+(−x)(y3)+(−3x)(y3) = 0

Answer:

The sum of the first 8 terms in the series is 65535.

Step-by-step explanation:

We have,

The common ratio in a geometric series, r = 4

First term of GP is, a = 3

It is required to find the sum of the first 8 terms in the series. The sum of first n terms of a GP is given by :

[tex]S_n=\dfrac{a(r^n-1)}{r-1}, r>1[/tex]

Here, n = 8

[tex]S_8=\dfrac{3\times ((4)^8-1)}{4-1}\\\\S_8=65535[/tex]

So, the sum of the first 8 terms in the series is 65535.

Answer:

1 and 5

Step-by-step explanation:

The squares have a side length of 10 and 1 square side is the radius of the half-circles. Since there are two half-circles, find the circumference for one full circle:

[tex]C=2\pi r[/tex]

Insert the radius:

[tex]r=10\\C=2\pi *10[/tex]

Simplify pi:

[tex]C=2*3.14*10[/tex]

Simplify multiplication:

[tex]C=6.28*10\\C=62.8[/tex]

The circumference of the circles is 62.8. Now find the perimeter of the exposed squares with side length 10. There are 4 exposed sides, which equals one square. Find the perimeter:

[tex]P=10+10+10+10\\P=10+10+20\\P=10+30\\P=40[/tex]

Add the perimeter of the circle and the square together:

[tex]P=62.8+40=102.8[/tex]

Now see which of the options gives you the perimeter:

1. [tex]40+20\pi =102.8[/tex]  ****

2. [tex]unavailable[/tex]

3. [tex]120+20\pi =182.8[/tex]

4. [tex]300+100\pi =614.2[/tex]

5. [tex]10+10+10\pi +10+10+10\pi =102.8[/tex] ****

Finito.

The expression . 40 + 20π and 10 + 10 + 10π + 10 + 10 + 10π gives the correct value of the perimeter is 102.8 .

We have to determine, the perimeter of the given shape in the question.

According to the question,

The squares have a side length of 10 and 1 square side is the radius of the half-circles.

There are two half-circles,

To find the circumference for one full circle:

[tex]C = 2\pi r[/tex]

Where radius = 10

[tex]C = 2\times 3.14 \times 10\\\\C = 62.8[/tex]

The circumference of the circles is 62.8.

To find the perimeter of the exposed squares with side length 10.

There are 4 exposed sides, which equals one square.

Therefore, perimeter p is given as,

[tex]P = 10+10+10+10\\\\P = 40[/tex]

On adding  the perimeter of the circle and the square together:

[tex]P = 62.8+ 40 = 102.8[/tex]

Check all the statement which give perimeter of the shape,

[tex]40+20\pi = 40+ 20\times3.14 = 102.8\\\\20\pi = 20 \times 3.14 = 62.8\\\\120+20\times \pi = 120+20\times3.14= 182.8\\\\300 + 100\times\pi = 300+100\times3.14 = 614\\ \\10+10+10\times\pi +10+10+10\times\pi = 40+ 20\times3.14 = 102.8[/tex]

Hence, The expression . 40 + 20π and 10 + 10 + 10π + 10 + 10 + 10π gives the correct value of the perimeter is 102.8 .

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Answer:

4

Step-by-step explanation:

When M varies inversely P squared rhen this is represented as

[tex]M=\frac {k}{P^{2}}[/tex]

Here, k is a constant of proportionality

Now when M is 9 and P is 2, P squared will be 4. Now substituting the value of P squared and M into the equation we can find the xonstant of proportionality as

K=9*4=36

Now that we have k, when P is 3 then we substitute the value of P as 3 and k as 36 into the first equation hence

[tex]M=\frac {36}{3^{2}}=4[/tex]

Therefore, M=4

Answer:

2(e^2+6e+11) is the GCF

Answer:

The spinner travelled 94.2 inches.

Step-by-step explanation:

In order to solve this question we first need to calculate the length of the circle, that is given by the following formula:

length = 2*pi*r

length = 2*3.14*3 = 18.84 inches

Since the spinner revolved around the circle 5 times, the distance travelled by the tip is the length of the circle multiplied by 5, as shown below:

distance = length*5

distance = 18.84*5 = 94.2 inches

The spinner travelled 94.2 inches.

Answer:

94.2 inches.

Step-by-step explanation:

The length of the circle can be determined by

length 'l'= 2πr

l = 2 x 3.14 x 3 = 18.84 inches

As the spinner and it travels completely around the circle 5 times, therefore, we'll have the distance of

distance = l x 5

distance = 18.84 x 5 => 94.2 inches

Thus, the tip of the spinner traveled 94.2 inches.

Answer:

(1/2)x + 8 = 15

Step-by-step explanation:

Answer:

  Function Four

Step-by-step explanation:

Put x=0 into each of the functions and see what you get.

  1. 3

  2. 2

  3. 1

  4. 0.2 . . . . function 4 is the one you want

  5. 0

_____

Anything with an exponent of 0 has a value of 1. (except 0^0 is indeterminate)

Answer:

23

Step-by-step explanation:

(x-3)(9) = (10)(18)

9x - 27 = 180

9x = 207

x = 23

Answer:

C≈157.08ft

Solution

C=2πr=2·π·25≈157.07963ft

Answer:

157.0796327 is my answer

Answer:

(2) (10,17,18)

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Well, let’s use a cancelling technique.

We know that 10, 24, 26 is just 5, 12, 13 multiplied by 2. So that works! And 50, 120, 130 is just 5, 12, 13 multiplied by 10. So that also works! And 15, 36, 39 is just 5, 12, 14 multiplied by 3. Therefore 2 is our answer...

Step-by-step explanation:

21x/7x = 21/7    (The x cancel out)

          = 3

Answer: it is the last one

Step-by-step explanation:

If you were to plot the point (4,-12), the correct method is to plot the point 4 units right, then 12 units down

Option D is correct

If a point is expressed in the form (x, y), the coordinate x represents the location of the point on the horizontal axis while the coordinate y represents the location of the point on the vertical axis

If x is positive, it means that the point is plotted on the right hand side of the horizontal axis. If x is negative, it means that the point is plotted on the left hand side of the horizontal axis

If y is positive, it means that the point is plotted on the  top region of the vertical axis. If y is negative, it means that the point is plotted on the bottom region of the vertical axis

For the point (4, -12)

x = 4, and y = -12

Since x = 4 is positive, the graph is plotted 4 units to the right

Since y = -12 is negative, the graph is plotted 12 units down

Therefore, If you were to plot the point (4,-12), the correct method is to plot the point 4 units right, then 12 units down

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