The point B is at the centre of the circle. The points P and Q are on the circumference of the circle. Calculate the area of the shaded sector. Take it to be 3.142 in your working. Give your final answer to 1 decimal place. ​

Answer:

108

Step-by-step explanation:

Okay here we see a diameter of 6 which is a line that shows the width of the whole circle. The radius is half of the diameter. So its 3. So its asking to use 3 for pie and the formula is 4/3 pie r^3. So we do 4/3 times 3 times 3^3 and we get 108. I hope this helps.

Answer:

2 and 3

Step-by-step explanation:

So, 24=2x2x2x3

42=2x3x7

3 and 2

Answer:

2 and 3

Step-by-step explanation:

prime factors for 42: 2, 3, and 7

prime factors for 24: 2,2,2 and 3

Answer:

y=4

Step-by-step explanation:

The question is asking what is the value of y:

Since all lengths have a dash on them they are all equal :

So 3y = y+8

3y = y + 8

First we subtract y from both sides:

3y-y = y+8-y

2y = 8

Divide both sides by 2:

2y÷2 = 8÷2

y = 4

Answer:

Step-by-step explanation:

Step one is not correct. He got 12. He should have obtained 10 -2  = 8. You need to subtract 2 on the left to get rid of the 2 there. So you must subtract 2 on the right.

Answer: Step one contains the error.

Answer:

A. Step 1

Step-by-step explanation:

I did it on khan so its right

Answer:

Look at the photo.

Step-by-step explanation:

The formula is y=mx+b. So, for the first one you start at the coordinate (0, 2) and then move down 2 and right one.

For the second one you start at the coordinate (0, -2) and then move down two and move right one.

Answer:

See attachment

Step-by-step explanation:

See attached image.

Answer:

17

Step-by-step explanation:

85/5=17

Answer:

6.8 x 12.5 x 13 = 1105

Step-by-step explanation:

Answer:

the answer is 1105

Step-by-step explanation:

8x²-18x-56

Solve :

apply distributive method

simplify the following

final outcome

Answer:

B)  [tex]8x^2-18x-56[/tex]

Step-by-step explanation:

Given expression:

[tex](4x + 7)(2x - 8)[/tex]

Apply the FOIL method: [tex](a+b)(c+d)=ac+ad+bc+bd[/tex]

[tex]\implies (4x \cdot 2x)+(4x \cdot -8)+(7 \cdot 2x) +(7 \cdot -8)[/tex]

[tex]\implies 8x^2-32x+14x-56[/tex]

Combine like terms:

[tex]\implies 8x^2-18x-56[/tex]

Answer:

x= 4, y= -2

Step-by-step explanation:

To solve the system by substitution, start by labelling the two equations:

-4x +5y= -26 -----(1)

y= 3x -14 -----(2)

Since the second equation already has y as the subject of formula, we can substitute equation (2) into (1). This means that we can replace all the 'y's in equation (1) with 3x -4, such that equation (1) will only be in terms of x.

Substitute (2) into (1):

-4x +5(3x -14)= -26

Expand:

-4x +15x -70= -26

11x= 70 -26

11x= 44

Divide both sides by 11:

x= 44 ÷11

x= 4

Substitute x= 4 into (2):

y= 3(4) -14

y= 12 -14

y= -2

Answer:

the 2nd one

Step-by-step explanation:

i did the test and got correct

Answer:

x 3 -2x

Step-by-step explanation:

The volume of the connector given the base area and the height is 84.70cm³.

A hexagonal prism is a three dimensional object that is made up of a hexagonal base. It has 8 faces, 18 edges, and 12 vertices.

Volume = [tex]\frac{3\sqrt{3} }{2} a^{2}h[/tex]

Where:

2.598076 x 8.15 x 4 = 84.70cm³

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Answer:

32.6 cm³ for K12

Answer:

$0.318 per minute

Step-by-step explanation:

3.18/10 = 0.318

3.18 divided by 10 equals 0.318

Answer:

3.18 cents per minute

Step-by-step explanation:

318 cents / 10 minutes = 3.18 cents per minute

Answer:

x = [tex]\frac{2\sqrt{21}}{3}[/tex]

Step-by-step explanation:

For a 30-60-90 triangle:

Thus:

Answer:

2 21 3

Step-by-step explanation:

Answer:

That'd be B.  The red graph has the classic shape of an exponential function (y-intercept (0,1), and the blue on e has the shape of a log function (x-intercept (1,0).  These two functions are inverses of one another, and so their graphs are reflections about the line y = x.

Step-by-step explanation:

Answer:

The car travelled 73 miles

The boat travelled 53 miles

The car arrived 17.7 minutes before the boat

Step-by-step explanation:

The total distance the car travelled from Point A to Point B = 28+45 = 73 miles

The total distance the boat travelled is given by the displacement; Using Pythagorean theorem = 53miles.

Time taken by the car = Distance/Speed = 73/40 = 1.825 hrs or 109.5 minutes

Time taken by the boat = Distance/speed = 53/25 = 2.12 hrs or 127.2 minutes.

The time taken by the car is the shortest, therefore it arrives first before the boat.

(◔‿◔)

En un mes el reloj de Alicia se retrasa 1.5 minutos, por otra parte en un año su reloj se retrasa 18 minutos y 15 segundos.

La mayoría de los meses tienen entre 30 y 31 días:

Mes de 30 días:

En general se atrasa 1.5 minutos en un mes.

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Answer:

-5

f(-1) would be the remainder

Answer:

22.5%

Step-by-step explanation:

The total of people surveyed between 21-34 is 40 and the total number who prefer other or hate sports is 9 so the percent is 9/40 which is equal to  2.25. Multiply this number by 100 to get it as a percent and you have 22.5%

22.5% of the people between the ages of 21 and 34 prefer "Other/Hate Sports."

Percentage is a way of expressing a fraction or a portion of a whole as a value out of 100. It is denoted by the symbol "%". Percentages are used to represent proportions, ratios, or rates in a more easily understandable and comparable form.

To find the percentage of people between the ages of 21 and 34 who prefer other sports and/or hate sports, we need to calculate the proportion of the total respondents in that age group who have chosen "Other/Hate Sports."

The table shows that there are 9 people between the ages of 21 and 34 who prefer "Other/Hate Sports" out of a total of 40 respondents in that age group.

So, Percentage = (Number of people with the preference / Total number of respondents in the age group) x 100

= (9 / 40) x 100

= 22.5%

Therefore, 22.5% of the people between the ages of 21 and 34 prefer "Other/Hate Sports."

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Answer:

i think it is b

Step-by-step explanation:

i am not good at math sorry

Hey there!

Option A.
23 + (4) - 4 * 2

= 23 + 4 - 4 * 2

= 27 - 4(2)

= 27 - 8

= 19

19 ≠ 32

Option B.
3 * 3 + (42) - 4

= 3 * 3 + 42 - 4

= 9 + 42 - 4

= 51 - 4

= 47

47 ≠ 32

Option C.
42 - 7 * 0

= 42 - 0

= 42

42 ≠ 32

Option D.
4 * 5 + 2 - 4 + 2

= 20 + 2 - 4 + 2

= 22 - 4 + 2

= 18 + 2

= 20

20 ≠ 32

None of them are equivalent to 32

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:The answer should be 1504 if i did it corectly

Step-by-step explanation: to get volume you need to multiply L*W*H and filling that in. 13 * 8 * 2 whitch you should get 208

the other size would have to be 9 * 8 * 18 which you should get 1296

then to get the total you just need to add together the two sums 208+1296 which should equal 1504.

Answer:

1

y = 0

x = 2

Step-by-step explanation:

The first thing we want to do to solve a system of equations is to solve one of them in terms of a single variable.

Lets start with x - y = 2

If we add y to both sides we get: x = 2 + y

Now to solve the system of equations we can substitute that value for x into the other equation. In any system of equations a solution for one must be a solution for the other as well.

ay - ax + 2a = 0

When we substitute our value of x into this equation and get the folowing:

ay - a(2 + y) +2a = 0

ay -2a - ay + 2a = 0

All of the terms cancel out on the left side leaving us with:

0 = 0

This means that the only way this system can be solved is if y is equal to 0.

Going back to the first equation x - y = 2

x - 0 = 2   so x = 2

This is the only solution to that system of equations, which means it forms a point instead of a line.

Answer:

78.5 cm. cubed

Step-by-step explanation:

Answer:

60 cm cubed

Step-by-step explanation:

Answer:

We have the length, width, and height of the rectangular prism, so we can calculate V=l×w×h=20cm×10cm×10cm=2,000cm3 V = l × w × h = 20 cm × 10 cm × 10 cm = 2 , 000 cm 3

The surface area of Prism B is approximately 367.25 cm^2.

Since Prisms A and B are similar, their corresponding sides are in proportion, and their volumes are related by the cube of the scale factor between them.

Let the scale factor between Prism A and Prism B be k. Then:

Volume of Prism A / Volume of Prism B = (Side length of Prism A / Side length of Prism B)^3

Given that the volume of Prism A is 375 cm^3 and the volume of Prism B is 648 cm^3, we can set up the equation:

375 / 648 = (Side length of Prism A / Side length of Prism B)^3

Now, let's solve for the scale factor (k):

k^3 = 375 / 648

k^3 = 0.5787037037

k ≈ 0.825 (rounded to three decimal places)

Now, since the surface area of a prism is proportional to the square of its side length, we can find the ratio of the surface areas:

(Surface area of Prism A / Surface area of Prism B) = (Side length of Prism A / Side length of Prism B)^2

Given that the surface area of Prism A is 250 cm^2, we can find the surface area of Prism B:

Surface area of Prism B = Surface area of Prism A / (k^2)

Surface area of Prism B = 250 / (0.825^2)

Surface area of Prism B ≈ 250 / 0.680625

Surface area of Prism B ≈ 367.25 cm^2

Therefore, the surface area of Prism B is approximately 367.25 cm^2.

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Answer:

c

Step-by-step explanation:

the right answer is c it good

Answer:

Step-by-step explanation:

The graph is generally increasing.  Thus, as the weight increases, the cost increases with it.

Answer: (x - 2)^2 + (y + 3)^2 = 18 3(2^(1/2)) (2,-3)

Step-by-step explanation:

7x^2 - 28x + 7y^2 + 42y - 35 = 0

divide 7 out

x^2 - 4x + y^2 + 6y - 5 = 0

add 5 to other side

x^2 - 4x + y^2 + 6y = 5

solve by completing the square

take b values divide them by 2  square and add to both sides

-4/2 = -2

-2^2 = 4

6/2 = 3

3^2 = 9

X^2 - 4x + 4 + y^2 + 6y +9 = 4 + 9 +5

(x - 2)^2 + (y + 3)^2 = 18

(x - k)^2 + (y - h)^2 = r^2

r^2 = 18

r = [tex]\sqrt{18}[/tex] = 3[tex]\sqrt{2}[/tex] = 3(2^(1/2))

center of circle = (2,-3)