Convert the angle θ=9π/5radians to degrees ​

Answer:

area of sector:

[tex] \frac{theta}{360} \times \pi \: {r}^{2} [/tex]

[tex] \frac{165}{360} \times \frac{22}{7} ( {8}^{2} )[/tex]

[tex] \frac{11}{24} \times \frac{1408}{7} [/tex]

[tex] \frac{1936}{21} [/tex]

[tex]92.19 \: {in}^{2} [/tex]

Answer:

the area of the sector can be rounded to [tex]92.2\,\,in^2[/tex]

Step-by-step explanation:

Use the fraction of the area of the circle associated with the red sector. Use a proportion to find the appropriate fraction knowing that a full circle [tex](360^o)[/tex] corresponds to the area:

[tex]Area=\pi\,R^2=\pi\, (8\,in)^2= 64\, \pi\,\,in^2[/tex]

then the proportion goes like:

[tex]\frac{64\,\pi\,\,in^2}{360^o} =\frac{sector}{165^o} \\ sector=\frac{64\,\pi\,165^o}{360^o}\,\,in^2\\sector\approx 92.15\,\,in^2[/tex]

Therefore, the area of the sector can be rounded to [tex]92.2\,\,in^2[/tex]

Answer:

P(-2 ≤ x ≤ 2) = .6

Step-by-step explanation:

Given

The data in the above table

Required

Find P(-2 ≤ x ≤ 2)

To solve for P(-2 ≤ x ≤ 2); we have to consider the boundary covered by the interval

The interval -2 ≤ x ≤ 2 according to the table is -2 , 0 and 2

Solving further;

P(-2 ≤ x ≤ 2) = P(-2) + P(0) + P(2) ----- (1)

From the table;

P(-2) = .33

P(0) = .16

P(2) = .11

Substitute these values in (1) above

P(-2 ≤ x ≤ 2) = P(-2) + P(0) + P(2) becomes

P(-2 ≤ x ≤ 2) = .33 + .16 + .11

P(-2 ≤ x ≤ 2) = .6

Answer:

P = 0.4688 = 46.88%

The probability that a randomly selected high school student plays organized​ sports is 0.4688.

Step-by-step explanation:

We are given that a survey of 900 randomly selected high school students determined that 422 play organized sports.

​(a) What is the probability that a randomly selected high school student plays organized​ sports?

We know that the probability of an event is given by

P = Number of desired outcomes/total number of outcomes

For the given case, the desired outcomes are those students who play organized sports and the total number of outcomes are 900 randomly selected high school students who were surveyed.

So the probabilty is

P = 422/900

P = 0.4688

P = 46.88%

​(b) Interpret this probability

There is a 46.88% chance of randomly selecting a high school student who plays organized sports or in other words, if we randomly choose a high school student then there is a 46.88% probability that the selected student plays organized sports.

The conversion rate is 1cm to 4km, or 1:4.

Because we know the conversion rate, we can use this ratio to calculate the map distance.

If the distance between the two towns is 28km, then we can use the conversion rate to calculate the distance on the map.

28 / 4 = 7

Therefore, the distance between the two towns on a map is 7cm.

Hope this helped! :)

Answer:

Step-by-step explanation:

1cm……..4km

x…………28km

x=28km*1cm/4km

Hey there! :)

Answer:

16 m².

Step-by-step explanation:

Find the surface area by finding the areas of each face:

The base is a square, so use the formula A = s²

A = 2²

A = 4 m².

Find the areas of the congruent triangular lateral sides. Use the formula:

A = 1/2 (bh)

A = 1/2 (2 · 3)

A = 1/2 (6)

A = 3 m².

There are 4 triangular faces, therefore:

3 × 4 = 12 m².

Add up the areas from the triangles and square base:

12 + 4 = 16 m².

Therefore, the surface area of this square pyramid is 16 m².

Answer:

The correct option is (4).

Step-by-step explanation:

The complete question is:

Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(275)?

Solution:

The function f (p) is defined as the average number of days a house stays on the market before being sold for price p in $1,000s.

The function provided is: f (275)

That is, p = $275,000.

So, the function  (275) describes the average number of days a house stays on the market before being sold for price $275,000.

Thus, the correct option is (4).

Answer:

400cm³ of cardboard is required to make the box

Step-by-step explanation:

Hello,

To find the the size of cardboard required to make the box we need to know the shape of the box. This is to enable us calculate the volume of the box.

Data;

Length = 10cm

Width = 8cm

Height = 5cm

This dimension corresponds to that of a cubiod.

Volume of a cubiod = length × width × height

Volume of the box = 10 × 8 × 5

Volume of the box = 400cm³

The volume of the box is 400cm³

About 400cm³ of cardboard is needed to make the box

Answer: the probability of getting a number less than 3 and tails is P 1/6

Step-by-step explanation:

Assuming that the dice and the coin are normal ones, we can expect that the probability for each outcome is about the same.

For the coin we have 2 outcomes, heads and tails, then each outcome has a probability of 1/2

The dice has 6 outcomes, and each outcome has a probability of 1/6.

Then the probability of rolling a number less than 3 is equal to the probability of rolling a 1 plus the probability of rolling a 2.

P1 + P2 = 1/6 + 1/6 = 2/6 = 1/3.

The probability of getting tails with the coin is 1/2.

Now, the joint for both events is equal to the product of the probabilities of each event, this is:

P = (1/3)*(1/2) = 1/6

Answer:

1/6

Step-by-step explanation:

got it right on edge

Answer:

Step-by-step explanation:

To make it easy let's list the integers that are beetwen 15 to 30 inclusive :

15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30

the the whole interval ]15,30[ is the answer

The numbers that are multiples of both 5 and 3 are ending with 5 and 0 and the sum of their digits is a multiple of 3.

Integers are the set of numbers including all the effective counting numbers, zero in addition to all bad counting numbers which count from bad infinity to effective infinity.

Learn more about Integers here: brainly.com/question/14453211

#SPJ2

Answer:

6

Step-by-step explanation:

Volume of the cone = V=πr2h ^3=π·62·24 ^3≈904.77868

So, the volume of the sphere, will be the same too:

904.78 = 4/3 x pi x r^3

Solve:

904.78 = 4.18 x r^3

r^3 = 904.78 divided by 4.18

r^3 = 216.45

r = cube root of 216(approximate) = 6.

Hope this helps.

Good Luck

Answer:

44.957

Step-by-step explanation:

All we can do is estimate √3 and then exponent 9 by it.

Alternatively, plug it into a calc and calculate.

Answer:

Options (1) and (2)

Step-by-step explanation:

In 3-dimensional geometry,

Skew lines are lines which do not intersect and are not parallel.

From the given triangular prism,

Option (1). RS and TU

Sides RS and TU are neither parallel nor intersect each other.

Therefore, these lines are skew lines.

Option (2).QR and SV

Since QR and SV neither intersect nor parallel,

These lines are the skew lines.

Option (3) RS and RU

Since RS and RU intersect at R therefore, they are not the skew lines.

Option (4).RS and UV

Since RS and UV are the parallel lines therefore, they are not the skew lines  .

Answer:

Step-by-step explanation:

The figures that come to a point (cone, pyramid) only have one base. The others have two:

  cylinder

  rectangular prism

  triangular prism

Answer:

B-cylinder

C-rectangular prism

E-triangular prism

Step-by-step explanation:

Got it right on edge unit test

Answer:

288

Step-by-step explanation:

24 = 8 1/3 % of x

24 = (25/3 * 1/100)x

25/300 x = 24

x = 24 * 300/25

x = 7200/25

x = 288

Answer: 11,244,000

Step-by-step explanation:

From the question, we are informed that In 2013 the population of New York state was approximately 19.65 million and the population of New York City was 8,406,000.

To know the number of people in New York State did not live in New York City, we subtract 8,406,000 from 19.65 million. This will be:

= 19,650,000 - 8,406,000

= 11,244,000

Answer:

the correct answer is circles

Step-by-step explanation:.

Answer:

If Henry walks along the sidewalks, he will walk 1.7 miles in total. It will take him 17 minutes to reach the store and another 17 minutes to come back.

If Henry cuts through the city, he will walk √(1.2² + 0.5²) = 1.3 miles in total. It will take him 22.3 minutes to reach the store and another 22.3 minutes to come back.

Even though Henry will need to walk a longer distance if he walks along the sidewalks, he will be able to reach the store and back back in a shorter time than if he cuts through the city.

Answer:

Step-by-step explanation:

Please try reposting with a picture so brainly users can help answer this question :)

The measure of angle < EFD = 47.5 degrees.

Option C is correct.

An "arc" in mathematics is a straight line that connects two endpoints. An arc is typically one of a circle's parts. In essence, it is a portion of a circle's circumference.

As, we know

The angle that an arc subtends at its centre is double that of its circumference.

In other words, the angle at the centre is twice as large as the angle at the perimeter.

So,  <EFD = 95/2

or, <EFD = 47.5 degrees.

Learn more about Arc here:

https://brainly.com/question/18741430

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Answer:

c: the point -2,-4 is minimum

Step-by-step explanation:

Answer:

The correct options are;

Heather likely did not make an error writing the equation of the line in her notebook because 0.77 and 1.34 are the slope y-intercept of the equation she recorded

Step-by-step explanation:

Based on the coordinates on the plot, Heather did not make a mistake in writing the line of best fit as the graph plotted with the points in the question  figure as follows;

x,            y

10.6,       9.4

8.2,         8.2

6.4,         7.3

6.6,         5.8

4.4,         5.4

4,            3.4

2.5,         4.4

2.2,         3

0.85,       1.5

Has an equation of he form, y = 0.7885·x + 1.3694.

Answer:

D. $56,250

Step-by-step explanation:

Calculate the increase.

45000 × (1 + 25%)

45000 × 1.25

= 56,250

They made $56,250 this month.

Answer:

D

Step-by-step explanation:

Answer:

angle BEF = 100 degrees

Step-by-step explanation:

For a regular 9-sided polygon (nonagon),

each exterior angle = 360/9=40 degrees

each interior angle = 180-40 = 140 degrees.

Referring to diagram, in the trapezoid (trapezium) BCDE, the base angles are 180-140 = 40 degrees.

Therefore angle DEB = 40 degrees

that leaves BEF = 140-40 = 100 degrees

Answer:

The answer is no

Step-by-step explanation:

no

Answer:

x < -3

Step-by-step explanation:

9(2x + 1) < 9x – 18

18x +9 < 9x – 18

-9x            -9x

9x +9 < – 18

-9          -9

9x < – 27

÷9   ÷9

x < -3

HOPE THIS HELPS:)

Answer:

19

Step-by-step explanation:

M is the center of the triangle, means that MR=MQ=PM

and M is the in center of the triangle=MS=MT=MU=19

Answer:

This is a permutation problem because the order of their choice is important.

There are 210 ways in which this choice can be made.

Step-by-step explanation:

Complete Correct Question

Decide if the following scenario involves a permutation or combination. Then find the number of possibilities. Cody and Aaliyah are planning trips to two countries this year. There are 15 countries they would be interested in visiting. One trip will be one week long and the other two weeks.

Solution

Permutation is used to calculate the number of possibilities or number of ways k choices can be made from n options given that the order of picking the choices is important. If there are choices A, B and C, picking ABC is different from CAB if order of picking is important like permutation preaches.

Combination on the other hand, is used to calculate the number of possibilities or number of ways k choices can be made from n options given that the order of picking the choices is unimportant. If there are choices A, B and C, picking ABC is the same as picking CAB if order of picking is unimportant like combination preaches.

So, in this question, Cody and Aaliyah want to pick 2 countries to visit, out of 15. They plan to spend 2 weeks in one country and 1 week in the other country.

This last sentence makes the order in which they pick the countries to visit important. If they chose to spend two weeks in country A and one week in country B, it is now a different possibility from spending two weeks in country B and one week in country A.

Hence, this is a permutation problem

The number of possibilities of picking 2 countries out of 15 countries to spend 2 weeks in first country and spend 1 week in the other country is ¹⁵P₂ = 15! ÷ (15 - 2)!

= 210 ways in which this choice can be made.

Hope this Helps!!!

Answer:

1) (ABCD) (ABC) (ABD) (ACD) (BCD) (AB) (AC) (AD)

2) A= 0.5000; B = 0.1667; C = 0.1667; D = 0.1667

Step-by-step explanation:

The questions are missing and should be

1) List all the winning coalitions in this voting system and the critical players in each.

2) Find the Banzhaf power index of this law firm.

1) Any combination of three partners, four partners, or a combination with two partners containing A is a winning coalition:

(ABCD) (ABC) (ABD) (ACD) (BCD) (AB) (AC) (AD)

2) The Banzhaf power index for each partner is given by the number of outcomes that said partner has a swing vote, divided by the number of possible swing vote situations.

Partners B, C, D will only have swing votes (change the outcome of the voting) when they are all in the same coalition, or when they are alone in a coalition with partner A:

[tex]B_B=2\\B_C=2\\B_D=2[/tex]

As for partner A, they will only be powerless to change the outcome when all of the other partners are in the same coalition (2 out of 8 possible combinations):

[tex]B_A=6\\[/tex]

The Banzhaf power index for each partner is:

[tex]B=\frac{2}{2+2+2+6}=0.1667\\C=\frac{2}{2+2+2+6}=0.1667 \\D=\frac{2}{2+2+2+6}=0.1667 \\A=\frac{6}{2+2+2+6}=0.5000[/tex]

Answer:

The ordered pairs in the inverse of g = {(-3, 5), (1, 4), (-2, 3), (0, 2)}

Step-by-step explanation:

Given that:

Relation g is given by the following table of values:

[tex]\begin{center}\begin{tabular}{ c c }x & y \\5 & -3 \\4 & 1\\3 & -2\\2 & 0\\\end{tabular}\end{center}[/tex]

To find:

The ordered pairs in the inverse of relation g.

Solution:

First of all, let us learn about domain and range of a relation [tex]y=f(x)[/tex].

Domain of a relation is the values of [tex]x[/tex] that are given as input to the relation.

Range of a relation is the values of [tex]y\ or\ f(x)[/tex] that come as the output of the relation.

When we take the inverse of any relation,

Now, let us have a look at the domain of given relation g.

Domain of g = set of values of x = {5, 4, 3, 2}

Range of g = set of values of y = {-3, 1, -2, 0}

Ordered pairs will be like (x, y)

Ordered pairs in g are: {(5, -3), (4, 1), (3, -2), (2, 0)}

The ordered pairs in the inverse of g = {(-3, 5), (1, 4), (-2, 3), (0, 2)}

If you stretch on the y-axis then you are increasing/decreasing values at a every x.

The new function is therefore:

[tex]g(x)=3\cdot2^x[/tex]

Hope this helps.

Hello!

Answer:

(x + 1).

Step-by-step explanation:

Begin by using the rational root theorem to find possible factors of this equation.

We get the following:

±1, ±3, ±1/2, ± 3/2

We can use synthetic division to check numbers to see if they are a factor of the equation. After checking the possible numbers, -1 was found to produce a remainder of 0 when calculated:

-1 | 2    1     -4     -3

  +      -2     1       3

    2    -1     -3      0

Therefore, x = -1 is a possible root of this equation. Writing this as a factor would become:

x = -1

x + 1 = 0

(x + 1) is the factor.

I hope this helped you!