What is the midpoint of (10,-5) and (2,-1)

Answer:

The answer is "[tex]\bold{\frac{2 \pi}{3}}[/tex]"

Step-by-step explanation:

Please find the complete question in the attached file.

Using formula:

[tex]\to \bold{\theta = \frac{S}{r}}[/tex]

Where,

[tex]\theta =central \ angle \\\\{S} = arc \ length\\\\{r} = radius \ length[/tex]

[tex]\to \theta = \frac{PQ }{OQ}[/tex]

       [tex]=\frac{6 \pi}{9} \\\\ = \frac{2 \pi}{3}[/tex]

The radian measure of central angle POQ is 3π/4 radians. Option b) is the correct option.

Line segments PO and QO are radii.

We need to find the radian measure of central angle POQ.

[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]

The superscript 'c' shows angle measured is in radians.

If the radius of the circle is of r units, then:

[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]

We know that

π radians = 180°

Therefore,

180° = π radians

135° = x

180° × x = 135° × π radians

x = 135° × π radians/180

x = 3π/4 radians

Hence, the radian measure of central angle POQ is 3π/4 radians. Option b) is the correct option.

Learn more about angle, arc length relation here:

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Answer:

no entiendo

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

Problem 1

Blank 1 = 6

Blank 2 = 17

(5*3)+2

Blank 3 = 4

(4*1)

Problem 2

Blank 1= (-5)^3=-5*-5*-5=-125

Blank 2= 18

(6*3)

Blank 3= 12

(4*3)

Answer:

y = (2/5)x -1

Step-by-step explanation:

Answer:y is (2/5) x minus 1

Step-by-step explanation:

Answer:

(8b + 12) + (3n+6) + (9b - 4)

= 8b + 12 + 3n + 6 + 9b - 4

= 17b + 3n + 14

Answer:

The 2020th term is 3

Step-by-step explanation:

Recursive Sequence

We are given a recursive and conditional sequence where each term depends on two previous terms and a rule.

Each term is the sum of the two previous terms. But if that sum exceeds 8, then 8 is subtracted.

The first terms are, therefore:

1, 1, 2, 3, 5, 8, 5, 5, 2, 7, 1, 8, 1, 1, 2, 3, 5, 8, 5, 5, 2, 7, 1, 8, ....

Note the sequence repeats itself at term 13, that is:

a13=a1, a14=a2, a15=a3 and so on.

To find any given term, it's just a matter of calculating the remainder of that number of the term divided by 12.

For example, the term number 100 is calculated by dividing 100/12=8 (only the integer part).

Since 8*12=96, the remainder is 100-96=4

Thus, a100=a4=3

The term 2020 is calculated now:

2020/12 = 168 (integer only)

168*12=2016

The remainder is 2020-2016=4, thus

a2020 = a4 = 3

The 2020th term is 3

Answer:

1) Neither

2) Exponential

3) Exponential

4) Linear

Step-by-step explanation:

1) x-values    [tex]{}[/tex]   y-values

0              [tex]{}[/tex]            0

1               [tex]{}[/tex]             1

2               [tex]{}[/tex]            4

3                [tex]{}[/tex]           9

4               [tex]{}[/tex]            16

Therefore, we have, the relationship of the function given as_f(x) = x² Which is neither a linear function nor an exponential function

2) x-values    [tex]{}[/tex]   y-values

0              [tex]{}[/tex]            1/3

1               [tex]{}[/tex]             1

2               [tex]{}[/tex]            3

3                [tex]{}[/tex]           9

4               [tex]{}[/tex]            27

The relationship between 'x', and 'y' is given as follows;

f(x) = 3⁽ˣ⁻¹⁾

Therefore, the relationship between 'x', and 'y', is an exponential relationship, and the function is an exponential function

3) x-values    [tex]{}[/tex]   y-values

0              [tex]{}[/tex]             5

1               [tex]{}[/tex]             5/2

2               [tex]{}[/tex]            5/4

3                [tex]{}[/tex]           5/8

4               [tex]{}[/tex]            5/16

The relationship between 'x', and 'y' is given as follows;

f(x) = 5×(1/2)ˣ

Therefore, the relationship between 'x', and 'y', is an exponential relationship, and the function is an exponential function

4) x-values    [tex]{}[/tex]   y-values

0              [tex]{}[/tex]             4.5

1               [tex]{}[/tex]             4

2               [tex]{}[/tex]            3.5

3                [tex]{}[/tex]           3

4               [tex]{}[/tex]            2.5

The given data for the y-values has a constant first common difference of 4 - 4.5 = -0.5, therefore, the relationship between the 'x', and 'y' values is a linear relationship.

Answer:

Step-by-step explanation:

Linear

Answer:

6040

Step-by-step explanation:

You can find out in two different ways, either use scientific notation or a calculator. If you go 3 steps to the right (since it's a positive power) you will get 6040. Hope this helped. :)

Answer:

hmmmmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

hmmmmmmmmmmmmmmmmmmmmm

Answer:

50

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer: 16n

Step-by-step explanation:

4 + 4 + 4 + 4 = 16

=16n

Answer:

x= 10

Step-by-step explanation:

8x+30=110

8x+30-30=110-30

8x=80

8x/8=80/8

x=10

Answer:

x=10

Step-by-step explanation:

Vertical angles are always congruent, those to angles are vertical angles so they are congruent.

Set them equal to each other:

110=8x+30                 subtract 30 from both sides

80=8x                        divide by 8 on both sides

x=10

Hope this helps :)

Answer:

opposite angles are congruent

Step-by-step explanation:

angle x and angle y are opposite angles

Answer:

A. A stratified random sample is a combination of simple random samples selected from each of several strata.

Step-by-step explanation:

In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

There are various types of sampling used by researchers and these are;

1. Random sampling.

2. Convenience sampling.

3. Systematic sampling.

4. Cluster sampling.

5. Stratified sampling.

Stratified random sampling can be defined as a method of sampling that involves dividing a population into smaller groups known as strata.

In stratified random sampling, the strata are formed based on member's shared characteristics (e.g female or male, occupation, education) or attribute (e.g black or white).

Hence, the statement about stratified random sampling which is true is that, a stratified random sample is a combination of simple random samples selected from each of several strata.

Answer:

A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The other are equal

Answer:

d = 10.5, a₁ = - 3.5

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₂ = 7 and a₄ = 28 , then

a₁ + d = 7 → (1)

a₁ + 3d = 28 → (2)

Subtract (1) from (2) term by term to eliminate a₁

2d = 21 ( divide both sides by 2 )

d = 10.5 ← common difference

Substitute d = 10.5 into (1)

a₁ + 10.5 = 7 ( subtract 10.5 from both sides )

a₁ = - 3.5 ← first term

Answer:

commision-an instruction, command, or duty given to a person/people

brainliest please?

Step-by-step explanation:

Answer:

x= -74 or -84

Step-by-step explanation:

x^2+3x+37=-7x

x^2+3x+7x+37=0

x^2+10x+37=0

this convert to following

[tex]( - b + - \sqrt{ {b}^{2} } - 4 \times a \times c) \div 2 \times a[/tex]

-b= -(10), a= 1, c =37

according to that

x= -74 or x= -84

Answer:

120 square units.

Step-by-step explanation:

Area= Base x Height.

So given that, in this equation...

Area=12x10.

12x10=120.

10,20,30,40,50,60,70,80,90,100,110,120

| 1 | 2 | 3 | 4 | 5  | 6  | 7  | 8 | 9 | 10 | 11 | 12 |

12,24,36,48,60,72,84,96100,120.

Answer:

B

Step-by-step explanation:

when dividing powers, you just subtract them so in this case subtract 6-4 which will be 2. so your answer is 11².

Answer:

[tex]x_1=5,\\x_2=2[/tex]

Step-by-step explanation:

Problem 1:

The angles [tex]\angle 3[/tex] and [tex]\angle 7[/tex] are corresponding, and thus are equal to each other. We can then set up the following equation:

[tex]5x+2=27,\\5x=25,\\x=\fbox{$5$}[/tex].

Problem 2:

The angles [tex]\angle 6[/tex] and [tex]\angle 4[/tex] are supplementary, meaning they add up to [tex]180^{\circ}[/tex]. Therefore, we have the following equation:

[tex]18x+144=180,\\18x+36,\\x=\fbox{$2$}[/tex].

Answer:

1st answer is 5°

Step-by-step explanation:

Z3 = Z7

or, 5x + 2 = 27°

or, 5x = 25°

or, x = 5°

:-))

Answer:

The correct corresponding part is;

[tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex]

Step-by-step explanation:

The information given symbolically in the diagram are;

ΔCAB is congruent to ΔCED (ΔCAB ≅ ΔCED)

Segment [tex]\overline {CA}[/tex] is congruent to [tex]\overline {CE}[/tex] ( [tex]\overline {CA}[/tex] ≅ [tex]\overline {CE}[/tex])

Segment [tex]\overline {CB}[/tex] is congruent to [tex]\overline {CD}[/tex] ( [tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex])

From which, we have;

∠A ≅ ∠E by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

∠B ≅ ∠D by CPCTC

Segment [tex]\overline {AB}[/tex] is congruent to [tex]\overline {DE}[/tex] ([tex]\overline {AB}[/tex] ≅ [tex]\overline {DE}[/tex]) by CPCTC

Segment [tex]\overline {AE}[/tex] bisects [tex]\overline {BD}[/tex]

Segment [tex]\overline {BD}[/tex] bisects [tex]\overline {AE}[/tex]

Therefore, the correct option is [tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex]

Answer:

Price = 15+8t

Step-by-step explanation:

Your new job is at the custom t shop, where t-shirts are printed to order.

For each order, custom t shop charges $8.00 per shirts plus a one time set up fee for $15.00.

Here, $15 remain fix and $8 increases with number of shirts.

Price = 15+8t

Hence, the price of the t-shirts is "15+8t".

Answer:

−2a2b+4ab2+6ab

Step-by-step explanation:

i took the test

Answer:

The flagpole is 60'(60 inches) tall

Step-by-step explanation:

A flagpole is standing in front of City Hall. Percy, who is standing near the flagpole is 5' tall and casts a shadow 3' long. If the flagpole casts a shadow 36' long, how tall is the flagpole

The formula is given as:

Height of percy/ Shadow of percy = Height of flagpole/Shadow of flagpole

Height of percy = 5 inches

Shadow of percy = 3 inches

Height of flagpole = ??

Shadow of flagpole =36 inches

= 5/3 = x/36

Cross Multiply

3 × x = 36 × 5

3x = 36 × 5

x = 36 × 5/3

x = 60 inches

Therefore, the flagpole is 60'(60 inches) tall.

Answer:

The time it would take 4 workers from the Fast Movers Company and 8 workers from the Careful Movers company to unload 8 trucks is 13 hours and 20 minutes

Step-by-step explanation:

The time it takes 6 workers from the Fast Movers Company to unload 6 trucks = 10 hours

The time it takes 10 workers from the Careful Movers Company to load 2 trucks = 8 hours

Therefore, when 1 worker of the Fast Movers Company is unload 1 truck each of the 6 trucks it takes 10 hours

Which gives the time for 1 worker of the Fast Movers Company is unload 1 truck = 10 hours, which gives;

10 worker hours per truck or 10 worker·h/(truck)

Similarly we have;

The time it takes 10 workers of the Careful Movers Company to load 2/2 = 1 truck = 8/2 = 4 hours

Therefore, the time it would take 1 worker of the Careful Movers Company to load 1 truck = 10 × 4 hours = 40 hours, which gives;

40 worker·h/(truck)

Let "t" represent the time it would take 4 workers from the Fast Movers Company and 8 workers from the Careful Movers Company to unload 8 trucks

We have;

[tex]\dfrac{4 \ workers \times t }{\left (\dfrac{10 \ worker \cdot hour}{truck} \right ) } + \dfrac{8 \ workers \times t }{\left (\dfrac{40 \ worker \cdot hour}{truck} \right ) } = 8 \ trucks[/tex]

Which can be simplified as follows;

[tex]\dfrac{4 \ trucks \times t }{10 \cdot hour} + \dfrac{8 \ trucks \times t }{40 \cdot hour} = t \times \left ( \dfrac{4 \ trucks }{10 \cdot hour} + \dfrac{8 \ trucks }{40 \cdot hour} \right ) = 8 \ trucks[/tex]

[tex]t = \dfrac{8 \ trucks}{\left ( \dfrac{4 \ trucks }{10 \cdot hour} + \dfrac{8 \ trucks }{40 \cdot hour} \right ) } = \dfrac{8 \ trucks}{\left ( \dfrac{3 \ trucks }{5 \ hour} \right ) } = \dfrac{5 \ hour\times 8 \ trucks}{3 \ trucks } \right ) } = \dfrac{40}{3} \ hours[/tex]

t = 40/3 hours =  13 hours and 20 minutes

The time it would take 4 workers from the Fast Movers Company and 8 workers from the Careful Movers company to unload 8 trucks = 13 hours and 20 minutes

Answer: 880

Step-by-step explanation: 111 to the nearest hundred is 110 x 8= 880