Let point C be on circle A. If ∠BAC 5 radians and segment BC is 12cm, what is the length of the radius

Answer:

x ≈ 14.3 cm

Step-by-step explanation:

The line from the vertex to the base is a perpendicular bisector, that is

It divides the isosceles triangle into 2 right triangles, with base [tex]\frac{1}{2}[/tex] x

Using the tangent ratio on the left, right triangle, then

tan35° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{5}{\frac{1}{2}x }[/tex] = [tex]\frac{10}{x}[/tex] ( multiply both sides by x )

x × tan35° = 10 ( divide both sides by tan35° )

x = [tex]\frac{10}{tan35}[/tex] ≈ 14.3 cm ( to 1 dec. place )

Answer:

The volume of cone

V = (1/3) x base area x height

  = (1/3) x (diameter/2)^2 x pi x height  

  = (1/3) x (6/2)^2 x pi x 4.5

  = 42.41 (in3)

Hope this helps!

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Any value squared would be positive

(-n)^2 = n^2

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Answer:

2.12

Step-by-step explanation:

Answer:

the 2nd one

Step-by-step explanation:

Answer:

When you have multiple events (here each flip of the coin is a individual event) the probability of all the events (or the joint probability) is equal to the product of the probabilities of each event.

For example, with a fair coin the probability of getting heads is 0.50

If you get heads 3 times, and you add the probabilities you get:

0-50*3 = 1.50

this has no sense, because the probability must be a number between 0 and 1.

The actual probability is:

P = 0.50*050*0.50 = 0.125

Answer:

m = rise / run = 10/18 = 5/9

Step-by-step explanation:

As we move from the point (0, 5) to the point  (18, -5), x increases by 18 and y decreases by 10.  Thus, the slope, m, is m = rise / run = 10/18 = 5/9.

We could get the same result using the points (0, 5) and (18, -5).

Answer:

Z = 1.88

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

94% confidence level

So [tex]\alpha = 0.06[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.06}{2} = 0.97[/tex], so [tex]Z = 1.88[/tex].

The critical z-value elena should use to construct the given confidence interval is; 1.88

We are given;

Formula for confidence intervals of proportion is;

CI = p^ ± z√(p^(1 - p^)/n)

Since we are given Confidence level of 94%, the significance level is;

α = 100% - 94%

α = 0.06

The the z-score will be at the p-value of 1 - α/2

P-value = 1 - (0.06/2) = 0.97

From online p-value from z-score calculator, we have; z-score = 1.88

Read more about confidence intervals at; https://brainly.com/question/16236451

Answer:

3072feet

Step-by-step explanation:

take 3miltiply with 2 multiply with 512 feet then the answer is 3072 feet

Answer:

The area of the base of the box, B, is  

✔ 6

ft.2.

The volume of the box is  

✔ 33

ft.3.

Step-by-step explanation:

I got it right on Edge

Answer:

Yes, it can. Triangles [in order for them to be one] must equal 180. If you add all of these angles together, since a triangle only has three angles anyway, it equals to 180, so you know it's a triangle.

If this was confusing, I am happy to help further!

Answer:

1

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

For figures to be similar, they must have proportional sides.

In other words, we can take a number and use it to scale all the sides.

The small rectangle has a 5 on the bottom side, while the big rectangle has a 15 on the bottom side. The scale factor is 3.

The small rectangle has a 3 on the right side, while the big rectangle has a 6 on the right side. The scale factor is 2.

As the scale factors are not equivalent, the figures are not similar.

Answer: 65%

[tex]\frac{3250}{5000} * 100 \\13/20 *100 = 65%[/tex]

Step-by-step explanation:

To get the percentage of the seats in the theatre were filled by the 6th graders on the trip,

it will be

[tex]\frac{occupied seats}{total seats} * \frac{100}{1}[/tex]

Answer:

[tex] \boxed{a + 2b} [/tex]

Step-by-step explanation:

[tex] = > (2a - 3b) + (5b - a) \\ \\ = > 2a - 3b + 5b - a \\ \\ = > 2a - a + 5b - 3b \\ \\ = > a + 2b[/tex]

The statement is true because

The point-slope form of the equation of a straight line is given as

y - y₁ = m(x -x₁)

m represents slope

and (x₁, y₁) is a point on the line

From the question, we are to determine if the statement is true

The point-slope form of the equation of a straight line is given as

y - y₁ = m(x -x₁)

Where m is the gradient (slope) of the line

and

(x₁, y₁) is a point on the line

Hence, the statement is true

Learn more on Point-slope form of a line here: https://brainly.com/question/11624671

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Answer:

10.59%

Step-by-step explanation:

percentage of change is given by

{(old number - new number)/old number} * 100

_________________________

given

no. of student  went to the first school dance = 340

no. of student  went to the last school dance = 306

Percentage of change between two dance

= ((no. of student  went to the first school dance - no. of student  went to the last school dance)/ no. of student  went to the fist school dance)*100

= (340 - 306)/340 *100

= (36/340 )*100 = 10.59%

The percent of change between the two dances 10.59%.

Answer:

B

Step-by-step explanation:

Side AB= Side DE

Angle B=90  Angle E=90

Side BC= Side EF

Therefore, they are congruent because of the SAS(Side Angle Side) Postulate.

Answer:

The correct answer is - A. cultural.

Step-by-step explanation:

The exchange of music, thus creating an artistic and entertainment connection between the people of different countries, regions, or continents is a nice example of cultural connection.

The music is part of the culture of the people, and all the people from every part of the world have their own specific type of music that complements their culture.

With the globalization process, people have been able to see and hear things from all around the world, thus managing to hear the music of all pats of the world. The Japanese and Korean music have experienced a real ''boom'' in popularity in the western world, as lot of people find it interesting, and the American music also reached new countries where it became the most popular, like in Europe for example.

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Answer:

A

Step-by-step explanation for why it's A:

The earth has become increasingly interconnected over recent times which has resulted in increased connection as well as cultural exchange amongst individuals.

This has allowed people to have access to new cultures,beliefs and ideas that were otherwise unavailable in their place of inhabitance.

Hence, Japanese music has become a lot more prevalent in the western world than it was say 60 years ago in a similar way American music has become more prevalent in Europe.

Software such as the internet have rapidly sped up globalisation and have resulted in remote accesibility to platforms such as social media that have made this cultural exchange boom in recent times possible.

Why it isn't the other options:

It could not be (b) as no forms of trading of commodities or other financial instruments are exchanged during the sharing of musical culture.

It could not be (c) as the spread of foreign culture within an area does not affect the manufacturing of goods and how they are sold between the involved countries.

It could not be (d) as certain procedures relating to the governance of a country( for instance in America)as well as political ideologies did not flourish( in a country say Japan) due to foreign musical acquisition.

Hope this helps!

Answer: 56m ; 12m

Step-by-step explanation:

A football coach walks 12 meters westward, 16 meters eastward, 22 meters westward, and then 6 meters eastward. The total distance moved will be: 12m + 16m + 22m + 6m = 56 metres.

The displacement will be:

12i + 16i - 22i + 6i

= 34i - 22i

= 12m west

Answer:

Step-by-step explanation:

Distance is scalar quantity and as such it has only magnitude and no direction.

The distance moved by the coach is calculated as;

distance = 12 meters  + 16 meters + 22 meters  + 6 meters

distance = 56 meters

Again, we determine the magnitude and direction of the displacement.

Displacement is a vector quantity and as such it has both magnitude and direction.

let westward represent positive direction, and

eastward represent negative direction

Displacement =  12 meters westward - 16 meters eastward + 22 meters westward - 6 meters eastward

Displacement = 12 meters eastward

Answer:

Step-by-step explanation:

Drag and drop the options mentioned before each box and that will give you perfect solution:

first box: third option

2nd box: 7th option

3rd box: 4th option

4th box: 1st option

5th box: 6th option

Answer:

b = 6

Step-by-step explanation:

18 = 3b

3b = 18

b = 18/3

b = 6

Answer:

6

Step-by-step explanation:

divide 18 by 3 you will get the answer 6

Step-by-step explanation:

To answer the questions, you must fill out the table.

a=65+48=113

b=157-65=92

c=92+33=125

d=48+33=81

e=157+81=238 or 113+92=238

5. To find the probability of picking a customer that is lactose intolerant, you need to find the total number of lactose intolerant people out of all the people.

81/238 or 34%

6. To find the probability of randomly picking a customer over 30 years old, you find the total number of people over 30 years old out of all the people.

125/238 or 52.5%

7. This problem specifically asks for people that are not lactose intolerant.

Under 30 years old: 65/157 or 41%

Over 30 years old: 92/157 or 59%

Based on these statistics, is it obvious that it is more likely for a customer to me over 30.

Answer:

it would be C≈13.19cm

hope this helps :)

Answer:

[tex]14+x\leq ≤ 26\\Collect like terms\\x \leq 26-14\\x \leq 12[/tex]

Step-by-step explanation:

The solution to the inequality 14 + x ≤ 26 is x ≤ 12.

To solve the inequality 14 + x ≤ 26, you can follow these steps:

1. Begin by isolating the variable "x" on one side of the inequality.

In this case, subtract 14 from both sides:

14 + x - 14 ≤ 26 - 14

x ≤ 12

2. The solution to the inequality is x ≤ 12.

This means that any value of "x" that is less than or equal to 12 will satisfy the inequality.

Therefore, the solution to the inequality 14 + x ≤ 26 is x ≤ 12.

Learn more about Inequality here:

https://brainly.com/question/28823603

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Answer:

3/5

Step-by-step explanation:

There are 5 total counters and 3 of them are white counters so you have a 60% chance to get a white counter.

hope this helps

Answer:

52.1m

Step-by-step explanation:

Please see attachment for explanatory diagram.

From the diagram:

Opposite = H

Adjacent = 20m

Angle θ = 69°

The height, H of the building can be obtained as follow:

Tan θ = Opp /Adj

Tan 69 = H/20

Cross multiply

H = 20 x Tan 69

H = 52.1m

Therefore, the height of the building is 52.1m

Answer:

The slope is 2

Step-by-step explanation:

Slope = (y2-y1)/(x2-x1)

    = (1 - (-5)) / (2 - (-1))

    = (1+5) /  (2+1)

    =6/3

    = 2

Answer:

0.15

Step-by-step explanation:

The relative frequency for FAIL is

The number of times failed occurred/ The number of times the experiment was conducted.

Which is ;

60/400= 0.15

On a side note that relative value of success given is wrong; typo error probably. It should be 0.61

Answer: 0.61

Step-by-step explanation: Mark me as the brainliest

Answer:

12 inches tall. Remember the conversion equations!!!!

Step-by-step explanation:

H = 1/2 Base divided by Area

1/2 of 4 = 2 (2/4 = 2)

2 ÷ 24 = 12