What are the coordinates of the terminal point for 0 = 4pi/3

Answer:

x = -6

Step-by-step explanation:

sum means +

36 + 3x = 18

3x = 18 - 36

3x = -18

x = -6

Answer:

Step-by-step explanation:

36 + 3x = 18

subtract 36 from both sides

3x= -18

divide by 3

x = -6

Answer:

90g strawberry jelly

6 sponge fingers

315ml custard

135g tinned fruit

Step-by-step explanation:

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Since those ingredients that are in the question say making a trifle for four people, let's divide each ingredient by four to find the ingredients for one person, and multiply by 3 to find the ingredients for 3 people.

So,

[tex]120/4=30[/tex]g strawberry jelly

[tex]8/4=2[/tex] sponge fingers

[tex]420/4=105[/tex]ml custard

[tex]180/4=45[/tex]g tinned fruit

There are the ingredients to make a trifle for one person.

-------------------->>>>

Now, let's multiply each of the ingredients for one person and multiply that by three to find the ingredients needed to make a trifle for four people.

[tex]30*3=90[/tex]g strawberry jelly

[tex]2*3=6[/tex] sponge fingers

[tex]105*3=315[/tex]ml custard

[tex]45*3=135[/tex]g tinned fruit

These are the ingredients needed to make a trifle for three people.

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Hope this is helpful.

the line passes point (0, -3) and (1, -5)

the slope = (-5+3) /(1-0) = -2/1 = -2

the y-intercept = -3

so, the equation : y = -2x -3

Answer:

Step-by-step explanation:   7  1  16   37

8/1     8 divided by 1

16/2   16 divided by 2

24/3   24 divided by 3       I could go on, but won't

Answer:

[tex](5\pi ,0)[/tex]

Answer two 20p coins make 40p

Step-by-step explanation:

Answer:

20 number of 20p makes £4.

Step-by-step explanation:

Let the number of 20p be x

Therefore,

                [tex]x \times 0.20 = 4\\\\x = \frac{4}{0.20} = \frac{4 \times 100}{ 20} = 4 \times 5 = 20[/tex]

Answer:

Step-by-step explanation:

sorry bout the poor drawing but it should be legible

Answer: read below

Step-by-step explanation:

A circle graph is a graph showing proportions of thing that label the person by using different colours

Hello,

Answer is C

[tex]a_1=0.5=\dfrac{1}{2} \\\\a_2=-0.1=-\dfrac{1}{10} =a_1*(-\dfrac{2}{10} )=a_1*(-\dfrac{1}{5} )\\\\a_3=0.02=\dfrac{2}{10^2} =a_2*(-\dfrac{2}{10} )=a_2*(-\dfrac{1}{5} )=a_1*(-\dfrac{1}{5} )^2\\...\\a_n=a_1*(-\dfrac{1}{5} )^{n-1}\\\\\boxed{a_n=0.5*(-0.2)^{n-1}}\\[/tex]

Answer:

4 feet

Step-by-step explanation:

1 yard is 3 feet

then 12 yards is 4 feet

Answer:

It is 36.

Step-by-step explanation:

It's simple math

Answer:

You need to convert all the units to one unit

Answer:

12^(3/2)

Step-by-step explanation:

(2x6)^3/2

2x6=12

12^3/2= 41.5692193817

Answer:

median of given data is 18

Answer: X = 8

Step-by-step explanation:

Answer:

The probability of finding aleast one or more defective charmins = 0.40951

Step-by-step explanation:

The probability of not finding a defective charmin = 1

probability of finding defective charmain = 1-0.1 =0.9

The probability of not finding all five defective item =

Then,

probability of not finding all five defective item=0.59049

Thus,

The probability of finding atleast one or more defective chairmins = 1-0.59049

Therefore,

The probability of finding atleast one or more defective chairmins =0.40951

Answer:

y = 245/2

Step-by-step explanation:

y = k x^2

Where k is the constant of variation

Let y= 40 and x=4

40 = k *(4)^2

40 = k*16

40/16 = k

5/2 = k

y =5/2 x^2

Let x=7

y = 5/2 (7)^2

y = 5/2(49)

y = 245/2

Answer:

y = 13/3

Step-by-step explanation:

substitute y=2x+5 in x+y = 4

x+2x+5 = 4

3x+5=4

3x= -1

x= -1/3

substitute x= 1-/3 in x+y = 4

-1/3 +y = 4

y = 13/3

Answer:

A 180° rotation of then a dilation by a scale factor of one-third

Step-by-step explanation:

The coordinates of the vertices of ΔABC are;

A(-9, 3), B(-9, 6), and C(0, 3)

The coordinates of the vertices of ΔA'B'C' are;

A'(3, -1), B'(3, -2), and C'(0, -1)

We note that for a 180° rotation transformation about the origin, we get;

Coordinates of preimage = (x, y)

Coordinates of image after 180° rotation about the origin = (-x, -y)

Therefore, a 180° rotation of ΔABC about the origin, would give ΔA''B''C'' as follows;

A(-9, 3), B(-9, 6), and C(0, 3) = A''(9, -3), B''(9, -6), and C''(0, -3)

The formula for a dilation of a point about the origin is given as follows;

[tex]D_{O, \, k} (x, \, y) = (k\cdot x, \, k\cdot y)[/tex]

Where;

k =The scale factor = 1/3, (one-third) we have;

A dilation of ΔA''B''C'', by a scale factor of 1/3, we get ΔA'B'C' as follows;

[tex]D_{O, \, \frac{1}{3} } A''(9, \, -3) = A'(\frac{1}{3} \times 9, \, \frac{1}{3} \times -3) = A'(3, -1)[/tex]

[tex]D_{O, \, \frac{1}{3} } B''(9, \, -6) = B'(\frac{1}{3} \times 9, \, \frac{1}{3} \times -6) = A'(3, -2)[/tex]

[tex]D_{O, \, \frac{1}{3} } C''(0, \, -3) = C'(\frac{1}{3} \times 0, \, \frac{1}{3} \times -3) = C'(0, -1)[/tex]

The coordinates of the vertices of ΔA'B'C' are A'(3, -1), B'(3, -2), and C'(0, -1), which is the same as the required coordinates of the image;

Therefore, the transformation that can be performed to show that ΔABC and ΔA'B'C' are similar are rotating ΔABC by 180°  then a dilating the image derived after rotation by a scale factor of one-third (1/3) we get ΔA'B'C'.

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x-4<10

or, 5x<14

or, x<14/5

so, x<2.8

[tex]\displaystyle\bf 5x-4<10\\\\5x<14\\\\\boxed{x<2,8} \\\\Answer: x<2,8\quad or \quad x\in(-\infty;2,8)[/tex]

Answer:

(-5,31/2)

Step-by-step explanation:

open bracket

y=1/2x^2+5x+28

compare with y=ax2+bx+c

use formula (-b/2a,4ac-b2/4a)

Answer: D

Step-by-step explanation:

5²-11=14

6^2-11= 25

14>25

as the question asks for something lower than 25 not lower/equal to the answer is D.

The range of values for which f(x) < 25 are -6 < x < 6. The correct answer choice is e).

To find the values of x for which f(x) < 25, we substitute the expression for f(x) into the inequality and solve for x.

Given f(x) = x² - 11, we need to find the values of x that make f(x) less than 25.

x² - 11 < 25

Adding 11 to both sides, we have:

x² < 36

To determine the values of x that satisfy this inequality, we take the square root of both sides. Since the square root of a number can be positive or negative, we consider both positive and negative solutions.

x < √36

x > -√36

Simplifying, we get:

x < 6

x > -6

Therefore, the correct answer choice is e) -6 < x < 6, as it represents the range of values for which f(x) < 25. This means that x can take any value between -6 and 6 (excluding -6 and 6) for the inequality to hold true.

To learn more about function click on,

https://brainly.com/question/32772416

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Answer:

propbability ???

Step-bp explanation:

Answer:

Step-by-step explanation:

This is an example of a statistical mean.

Answer:

C. 16 mi.

Step-by-step explanation:

This situation forms a right triangle: the distances 32 miles south and 24 miles east are the legs, and the original southeast course is the hypotenuse.

Use the pythagorean theorem, a² + b² = c² to solve for c, the length of the southeast course.

a² + b² = c²

32² + 24² = c²

1600 = c²

40 = c

So, the southeast course is 40 miles long.

Find how many miles the pilot traveled on the alternate route:

32 + 24

= 56

Find the difference in extra miles:

56 - 40

= 16

So, the pilot was forced to fly 16 extra miles.

The correct answer is C. 16 mi.

Answer:

16

Step-by-step explanation:

On Edge 2022

Answer:basically if what they want you to prove is correct say it is correct and why is it correct

Step-by-step explanation:

Answer:

£0.80

Step-by-step explanation:

1 box of eggs: £2.40

2 packs of bacon: 2 * £2.60

2 tins of baked beans: 2x

Change: 80p

Total = 2x + £2.40 + £5.20 + £0.80

Total = 2x + £8.40

2x + £8.40 = £10

2x = £1.60

x = £0.80

Answer: £0.80