Circumference of the circle

(0,3) - The y-int, after you can just add 5 to the y-coord for each added 1 to the x-coord.

(1,8)

(2,13)

(3,18)

(4,23)

(5,28)

1320

Step-by-step explanation:

the triangle,1/2×15×20×2=300 .rectangle,17×25=425,20×17=340,15×17=255. sum them up 300+255+425+340=1320

Answer:

  30°

Step-by-step explanation:

The angle sum theorem tells you the sum of angles in any triangle is 180°. A right triangle has one angle that is 90°, so the sum of the remaining two acute angles is 180° -90° = 90°. That is, the acute angles in a right triangle are complementary.

__

The other acute angle is ...

  90° -60° = 30°

The expression 3.25(g-1) + 2.75(3) by Jason and his friends is a linear expression

The expression is given as:

3.25(g-1) + 2.75(3)

The above expression means that:

Read more about linear expressions at:

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Answer:

See attached image.

Step-by-step explanation:

B is the right answer

I hope it will help you

Step-by-step explanation:

\begin{gathered}x^2 + y^2 + 17 = 138\\x^2 + y^2 = 138 - 17\\x^2 + y^2 = 121\\x^2 + y^2 = 11^2\\Radius = 11\end{gathered}

x

2

+y

2

+17=138

x

2

+y

2

=138−17

x

2

+y

2

=121

x

2

+y

2

=11

2

Radius=11

The union of X and Y is {a,e,i,o,u}, the intersection of X and Z is {i,o} and the intersection of all the three is {o}.

The ordered pair is the pair of two numbers which represented in a manner that it provides a particular order.

In an order pair, the first term indicates the x-coordinate, while the second term indicate the y coordinates. The ordered pair are written in close bracket in the following way.

[tex](x,y)[/tex]

The given set is U(a,e,i,o,u), in which,

[tex]X=(a,i,o)\\Y=(o,e,u)\\Z=(i,o,u)[/tex]

For the union, write all the terms of  X and Y set.

[tex]X\cup Y=(a,e,i,o,u)[/tex]

For the intersection, write all the common terms of  X and Z set.

[tex]X\cap Z=(i,o)[/tex]

For the intersection, write all the common terms of  X , Y and Z set.

[tex]X\cap Y\cap Z=(o)[/tex]

Hence, the union of X and Y is {a,e,i,o,u}, the intersection of X and Z is {i,o} and the intersection of all the three is {o}.

Learn more about the ordered pair here;

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The frequency distribution table shows the distribution of the rice consumed by the families

From the question, we have the interval to be:

Interval = 6

Start by calculating the range

Range = Highest - Least

This gives

Range = 60 - 20

Range = 40

Calculate the class width

Width = Range/Interval

This gives

Width = 40/6

Width = 7

So, the classes are: 20 - 26, 27 - 33, 34 - 40, 41 - 47, 48 - 54 and 55 - 61

Using the above classes, we have the following frequency distribution table.

Class Frequency

20 - 26 6

27 - 33 3

34 - 40 7

41 - 47 4

48 - 54 3

55 - 61 4

From the above Frequency Distribution Table, the interval with the highest frequency is 34 - 40

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Answer:  0.2066

Step-by-step explanation:

Probability of Rebecka selecting a poodle = 5/11

Probability of Aaron selecting a poodle = 5/11

Both select one puppy at random with replacement, so their choices are independent.

Thus, probability that both select a poodle = [tex](5/11)\times(5/11)[/tex]

[tex]= 25/121 \approx 0.2066 \ $or 20.66\%[/tex]

Answer:

625 in²

Step-by-step explanation:

⇒ Area of the figure = Area of the rectangle + Area of the triangle

Finding the base of the triangle

Finding Area

Answer:

[tex]s - 144 = 290[/tex]

[tex]s = 434[/tex]

Step-by-step explanation:

the keyword is remaining. Meaning the teacher slready has 144 reserved but needs to get 290 spots more.

Answer:

1

Step-by-step explanation:

65.751 = 6 x 10 + 5 x 1 + 7 x 1/10 + 5 x 1/100 + 1 x 1/1,000

6 x 10 = 60

5 x 1 = 5

7 x 1/10 = 0.7

5 x 1/100 = 0.05

1 x 1/1000 = 0.001

60 + 5 + 0.7 + 0.05 + 0.001 = 65.751

Answer:

216 square feet

Step-by-step explanation:

First we must convert both dimensions to feet. 1 yd = 3 feet

8 yd = 24 feet and 3 yd = 9 feet

We got the yd by multiplying by 3 to get the number of fett.

Area of a rectangle = base * height

24 feet * 9 feet = 216 square feet

Answer:

Step-by-step explanation:

red shirt: 10%

green shirt: 20%

not choosing white 10%

not chosing black 20%

where orange shirt???

Answer:

For 3 pounds, 3 ÷ 1/8 = 54

For 7 pounds, 7 ÷ 1/8 = 56

Answer:

The answer is 4x² – x – 4 = 0

Step-by-step explanation:

Where,

So, one quadratic polynomial satisfying is given condition is 4x² – x – 4 = 0

Sum of zeroes = 1/4

Product of zeros = 1

Remember this formula

x² – (α + β)x + αβ

x² – 1/4x + 1

4x² – x – 4 = 0

Thus, The quadratic polynomial is

4x² – x – 4 = 0.

Answer:

Step-by-step explanation:

Drinks:

Answer: 8

Answer:

Below!

Step-by-step explanation:

Given data: 1, 3, 5, 8, 10

Determining the median of the data:

The median is the "middle number" of the data in ascending or descending order. In this case, the data is already in ascending form. Since the number of digits in the data is ODD, we will use to formula (n + 1)/2 (where "n" is the number of digits) to determine the median.

Determining the mean of the data:

The mean of the data is the average number of the data (as said above). To determine the average number (mean), we need to sum the digits in the data and divide it by the total digits in the data. In this case, the sum of the digits in the data is 27 and the total digits in the data is 5.

Determining the mode of the data:

The mode of the data is the number that has repeated the most.

Since all the digits in the data has repeated once, all the numbers in the data (1, 3, 4, 8, 10) are the mode.

Determining the range of the data:

The range of the data is the difference of the largest and smallest number (As said above).

Answer:

Median: 5

Mean: 5.4

Mode: 1, 3, 5, 8, 10

Range: 9

Step-by-step explanation:

Median: the middle value.

Mean: the average (found by adding up all of the numbers and dividing them by the number of numbers in the data set).

Mode: the number that is most frequent.

Range: the difference between the biggest and smallest values.

First, make sure your data set is in numerical order: 1, 3, 5, 8, 10

Median: 5

1, 3, 5, 8, 10

Mean: 5.4
1 + 3 + 5 + 8 + 10 = 27

27/5 = 5.4

Mode: 1, 3, 5, 8, 10

1, 3, 5, 8, 10

All of them, as they all appear once.

Range: 9

10 - 1 = 9

Hope this helps!

Step-by-step explanation:

the average score would be 3 i think

Step-by-step explanation:

The graphs are not give but the graph looks like the above picture.

Answer:

[tex]\sf y=-\dfrac12x+2[/tex]

Step-by-step explanation:

y-intercept is when x = 0, so (0, 2)

x-intercept is when y = 0, so (4, 0)

[tex]\sf slope=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{0-2}{4-0}=-\dfrac12[/tex]

Slope-intercept form of linear equation:  [tex]\sf y=mx+b[/tex]

(where m is the slope and b is the y-intercept)

Given:

[tex]\sf \implies y=-\dfrac12x+2[/tex]

Answer:

Kirsty raised £143.75 and Flo raised £28.75

Step-by-step explanation:

x = money raised by Flo

5*x = money raised by Kirsty

6*x = money raised together

6x = £172.50

Now divide each side by 6:

x = £172.50:6

x = £28.75 (money raised by Flo)

£172.50-£ 28.75 = £143.75 (money raised by Kirsty)

Kirsty raised £143.75 and Flo raised £28.75

The cost per page is $1.5 and 38 pages of the book will cost $57

Data;

To solve this question, we have to know the cost of one page of the book.

In the first scenario, 20 pages cost $30, let's find the cost of one page here.

[tex]20 page = \$30\\1 page = x\\x = \frac{30}{20}\\x = 1.5[/tex]

We can confirm our answer here by testing with the second scenario;

[tex]32 page = \$48\\1page = y\\y = \frac{48}{32} = 1.5[/tex]

Now can say that one page of the book cost $1.5, let's divide 57 by this to determine the number of pages

[tex]z = \frac{57}{1.5} \\z = 38[/tex]

From the calculations above, 38 pages of the book will cost $57.

Learn more on proportions here;

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Answer: cone

Step-by-step explanation:

The bottom figure is a cylinder. A cylinder is basically a rectangle wrapped around two circles.

The top figure is a cone. A cone’s net looks like a triangle with a curved base wrapped around a circle. If you don’t believe the top figure is a cone, think about what ice cream cones look like. The top figure is a cone.

Answer:

208.3

Step-by-step explanation:

Since the numbers are decreasing as multiples, its a geometric progression.

[tex]S_{n}=\frac{a(1-r^{n} )}{1-r} ; r\neq 1 \ and\ r \ is\ less\ than\ 1\\common\ ratio=\frac{20}{50}=\frac{2}{5}\\ S_{10}=\frac{125(1-(2/5)^{10} )}{1-(2/5)} \\=208.3[/tex]

Step-by-step explanation:

Jacinta is completely right while Tess made a mistake on the 3rd step.

she mistakenly plugged in the y value as X, and plugged in the X value as y.

so Tess is incorrect