A subtending arc on a circle with a radius of 4.5 centimeters has an arc length of 8π. The measure of the angle subtended by the arc is ?

Answer:

Step-by-step explanation:

Givens

[tex]m(KP)=2m(IP)[/tex]

[tex]m(IVK)=120\°[/tex]

Notice that

[tex]m(KP)+m(IP)+m(IVK)=360\°[/tex], by definition sum of arcs.

Replacing given values, we have

[tex]2m(IP)+m(IP)+120\°=360\°\\3m(IP)=360\° - 120\°\\m(IP)=\frac{240\°}{3}\\ m(IP)=80\°[/tex]

Which means [tex]m(KP)=2(80\°)=160\°[/tex]

Notice that arc KP is the subtended arc by angle KJL.

We know that the angle formed by a tangen and a secant is equal to one-half of the difference of the intercepted arcs.

[tex]m\angle KJL = \frac{1}{2} (m(KP)-m(IP))\\m \angle KJL = \frac{1}{2}(160\° - 80\° )=\frac{1}{2}(80\°)=40\°[/tex]

Therefore, the measure of angle KJL is 40°.

Answer:

  33 ft

Step-by-step explanation:

In a diagram of the geometry, you see that the angle of elevation is opposite the triangle leg representing the tree height, and is adjacent to the triangle leg representing distance from the tree.

The tangent ratio relates these lengths to the angle:

  Tan = Opposite/Adjacent

  Opposite = Adjacent×Tan

  tree height = (47 ft)tan(35°) ≈ 33 ft

The height of the tree is about 33 feet.

Answer:

distance between the ship and the​ island is 465.72 ft

Step-by-step explanation:

given data

island =  353 ft

ship = 474 ft

ship's azimuth = 320 degrees

island = 58 degrees

to find out

distance between the ship and the​ island

solution

as per given figure we can see that

AC = 353

AB = 474

we get here angle ABC that is = 360 - 320 = 40 degree

and angle BAC is = 180 - 58 = 122

and now  we apply here law sign

so

[tex]\frac{BC}{sinA} = \frac{AC}{sinB}[/tex]   ...........1

put here value and we get

[tex]\frac{BC}{sin122} = \frac{353}{sin40}[/tex]    

BC = 465.72 ft

so distance between the ship and the​ island is 465.72 ft

The final result is 17 hours and 50 minutes, or in military time format, 1750.

To subtract the military times 2330 and 0540, we can approach it as a regular subtraction problem, but we need to borrow from the hour when the minutes in the subtrahend (0540) are larger than the minutes in the minuend (2330). Since military time is on a 24-hour clock, we treat 2330 as 23 hours and 30 minutes, and 0540 as 5 hours and 40 minutes.

Step 1: Since we cannot subtract 40 minutes from 30 minutes, we need to borrow 1 hour from the 23 hours, converting it to 22 hours and 90 minutes.

Step 2: Now we subtract the minutes: 90 minutes - 40 minutes = 50 minutes.

Step 3: Then we subtract the hours: 22 hours - 5 hours = 17 hours.

So, the final result is 17 hours and 50 minutes, or in military time format, 1750.

Answer:

Step-by-step explanation:

You observe the problem from a graphical perspective with the image attached.

Notice that side [tex]x[/tex] is tangent to the circle, which means is perpendicular to the radius which is equal to 3,959 mi.

We have a right triangle, that means we need to use the Pythagorean's Theorem, to find the distance to the Earth's Horizon from point P.

The hypothenuse is 3959 + 15.6 = 3974.6 mi.

[tex](3974.6)^{2}=x^{2} +(3959)^{2} \\x^{2} =15,797,445.16 - 15,673,681\\x=\sqrt{123,764.16} \approx 351.8[/tex]

Therefore, the distance to the Eath's Horizon from point P is 352.8 mi, approximately.

i can't make a model, but the answer is 11167.79

The area of a 2D form is the amount of space within its perimeter. The area of the composite figure is 5 1/3 ft².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The given figure can be breakdown into two parts as shown below. Therefore, the area of the composite figure will be,

Area of the composite figure = Area A + Area B

                                                 = (5 × 1/3) + [0.5×2×(5- 4/3)]

                                                  = 5/3 + 11/3

                                                   = 16/3 = 5 1/3 ft²

Hence, the area of the composite figure is 5 1/3 ft².

Learn more about the Area:

https://brainly.com/question/1631786

#SPJ1

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

21 * 2/7= 42/7=6 cupcakes that she's already frosted.

21-6=15 cupcakes left to frost.

Hope this helps!

Answer:

(6x − 2) * 2 * (0.5x) * 4 = (6x - 2) * 4x

Hope this helps!

:)

Answer:

[tex]P(X=0)=(15C0)(0.5)^0 (1-0.5)^{15-0}=0.0000305[/tex]

[tex]P(X=1)=(15C1)(0.5)^1 (1-0.5)^{15-1}=0.000457[/tex]

[tex]P(X=2)=(15C1)(0.5)^2 (1-0.5)^{15-2}=0.00320[/tex]

And adding the results we got:

[tex] P(X<3) =P(X \leq 2) = 0.0036875[/tex]

Step-by-step explanation:

We can define the variable of interest s X representing the number of correct questions for the exam. and we can model this random variable with a binomial distribution. The probability of select the correct answer would be [tex]p =\frac{1}{2}[/tex] since is a true/false question.

[tex] X \sim Binom (n =15, p=0.5[/tex]

And we want to find this probability:

[tex]P(X <3)= P(X\leq 2)=P(X=0) +P(X=1) +P(X=2)[/tex]

The probability mass function for the Binomial distribution is given as:

[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]

Where (nCx) means combinatory and it's given by this formula:

[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]

And we want to find this probability:

[tex]P(X \leq 2)=P(X=0)+P(X=1)+P(X=2)[/tex]

We can find the individual probabilities and we got:

[tex]P(X=0)=(15C0)(0.5)^0 (1-0.5)^{15-0}=0.0000305[/tex]

[tex]P(X=1)=(15C1)(0.5)^1 (1-0.5)^{15-1}=0.000457[/tex]

[tex]P(X=2)=(15C1)(0.5)^2 (1-0.5)^{15-2}=0.00320[/tex]

And adding the results we got:

[tex] P(X<3) =P(X \leq 2) = 0.0036875[/tex]

To solve this problem, we can set up a system of equations using the information given and solve it using the substitution method.

To solve this problem, we can set up a system of equations using the information given. Let's call the two numbers x and y.

From the given information, we can write:

x + y = 9 (equation 1)

x - y = 5 (equation 2)

To solve this system, we can use the method of substitution or elimination. Let's solve it using the substitution method:

From equation 2, we can isolate x by adding y to both sides:

x = y + 5

Now substitute this expression for x in equation 1:

(y + 5) + y = 9

Combine like terms:

2y + 5 = 9

Subtract 5 from both sides:

2y = 4

Divide both sides by 2:

y = 2

Now substitute this value for y in equation 1:

x + 2 = 9

Subtract 2 from both sides:

x = 7

So, the two numbers are 7 and 2.

Answer:

The Null Hypothesis is  [tex]H_o:k_o = 0.07[/tex]

The alternative hypothesis is  [tex]H_a :k_o \ne 0.07[/tex]

Decision rule

    If the test staistics is  greater than the critical value of significance level then [tex]H_o[/tex] is accepted else [tex]H_o[/tex]  is rejected

With the above in mind

       The critical value of the significance level which is obtained from the table is

     [tex]t_{0.05} = 1.645[/tex]

Now since the critical value of significance level is greater than the test  staistics then the null hypothesis will be rejected

Conclusion

The information is not enough to back the claim that state differs from the nation

Step-by-step explanation:

From the question we are told that

The percentage of US female workers paid at the minimum wage or less is  [tex]k_o =[/tex] 7% = 0.07

  The sample size is  [tex]n = 500[/tex]

    The number paid minimum wage or less is  x = 42

    The significance level is [tex]\alpha =[/tex]5%  = 0.05

Now the probability of getting a US female workers paid at the minimum wage or less is mathematically represented as

         [tex]\= k = \frac{x}{n}[/tex]

substituting value

        [tex]\= k = \frac{42}{500}[/tex]

        [tex]\= k = 0.084[/tex]

The Null Hypothesis is  [tex]H_o:k_o = 0.07[/tex]

The alternative hypothesis is  [tex]H_a :k_o \ne 0.07[/tex]

Generally the test statistics is mathematically evaluated as

        [tex]z = \frac{\= k - k_o}{\sqrt{\frac{k_o(1-k_o)}{n} } }[/tex]

substituting value

      [tex]z = \frac{0.084 - 0.07}{\sqrt{\frac{0.07 (1-0.07)}{500} } }[/tex]

     [tex]z = 1.23[/tex]

Now the Decision rule is stated as  

        If the test staistics is  greater than the critical value of significance level then [tex]H_o[/tex] is accepted else [tex]H_o[/tex]  is rejected

With the above in mind

       The critical value of the significance level which is obtained from the table is

     [tex]t_{0.05} = 1.645[/tex]

Now since the critical value of significance level is greater than the test  staistics then the null hypothesis will be rejected

   So the conclusion will be

   The information is not enough to back the claim that state differs from the nation

Final answer:

While the number of teeth varies among species, mammals usually have more complex dentition than reptiles due to their heterodont (four different types) teeth, compared to reptiles' homodont teeth. Most mammals are diphyodonts with two sets of teeth over their lifetime, unlike many reptiles that replace their teeth continuously.

Explanation:

Mammals generally have a more complex dental structure than reptiles due to their heterodont dentition. Mammals have four different types of teeth: incisors, canines, premolars, and molars, each specialized for different dietary functions such as cutting, tearing, and grinding. In contrast, most other vertebrates, including reptiles, possess homodont teeth, meaning their teeth are all the same type and shape, which often don't vary much in structure compared to mammals.

This difference in dentition is related to the various diets that mammals adapt to, allowing them to process different kinds of foods more efficiently. Furthermore, most mammals are diphyodonts, meaning they have two sets of teeth in their lifetime—deciduous ("baby") teeth and permanent teeth—compared to many reptiles that replace their teeth throughout their lives.

In terms of the absolute number of teeth, it varies widely among species in both groups. Some reptiles indeed have a high number of teeth; for instance, a crocodile has many sharp, conical teeth. However, it's not accurate to say that all reptiles have more teeth than all mammals because there is a great deal of variation within each group, with some mammals having more teeth than certain reptiles, and vice versa.

Answer:

26

Step-by-step explanation:

To find the area of a triangle, you simply need to multiply the base by the height and divide by 2. In this case, 13*4/2=26 square centimeters. Hope this helps!

Answer:

Area: 48 sq. units

Perim: 28 units

Step-by-step explanation:

The distance between (-4, 3) and (-4,-3) is 6. The distance between (-4,-3) and (4,-3) is 8. So, 6 x 8 is 48, and that is the area.

6, 6, 8, and 8 are the lengths, so add those up to find the perimeter and you get 28.

Answer:

20

Step-by-step explanation:

multiplying by 5 just divide the 7 with 35 you get 5 so multiply 4 and the 5 and get 20

Answer:

20

Step-by-step explanation:

Answer:

C = 25

Step-by-step explanation:

C = 5/9(F - 32)

Let F = 77

C = 5/9(77- 32)

Parentheses first

C = 5/9(45)

C = 25

Answer:

The radius of hole is 5 feet

Step-by-step explanation:

Depth of conical hole = 9 feet

Let the radius of hole be r

Volume of conical hole =[tex]\frac{1}{3} \pi r^2 h[/tex]

So, Volume of conical hole =[tex]\frac{1}{3} \pi \times r^2 \times 9[/tex]

We are given that volume of a CONE-shaped hole is 75pi ft cubed.

So,[tex]\frac{1}{3} \pi \times r^2 \times 9=75 \pi[/tex]

[tex]\frac{1}{3} \times r^2 \times 9=75[/tex]

[tex]r^2=\frac{75 \times 3}{9}[/tex]

[tex]r=\sqrt{\frac{75 \times 3}{9}}[/tex]

r=5

Hence The radius of hole is 5 feet

The word that describes the four angles formed by the intersection of two perpendicular lines is "right angles" because they each measure 90 degrees and create an L-shaped corner.

The four angles formed by the intersection of two perpendicular lines are often described as "right angles." A right angle measures exactly 90 degrees, and it is the angle at which two lines meet and form a perfect L shape.

Right angles are a fundamental concept in geometry and have many practical applications in everyday life. They are essential in fields such as architecture, engineering, and mathematics. Right angles are known for their symmetry and balance, making them a crucial element in various geometric shapes and constructions.

In summary, the word that describes the four angles formed by the intersection of two perpendicular lines is "right angles" due to their characteristic 90-degree measurement and significance in geometry.

For more such questions on perpendicular lines

https://brainly.com/question/1202004

#SPJ3

Complete question below :

What word describes the four angles formed by the intersection of two perpendicular lines?

Answer:

John had $572 in his savings account.

Step-by-step explanation:

Let the total amount John took from his savings account be T.

He spent $52. That means he has $(T - 52) left.

He then spent 1/2 of what was left on presents for his friends. That is:

[tex]\frac{1}{2} * (T - 52) = \frac{T - 52}{2}[/tex]

Which means he is left with another half of what was left, that is, [tex]\frac{T - 52}{2}[/tex]

Of the money remaining, John put 4/13 into checking account.

This means that he is left with 9/13 of [tex]\frac{T - 52}{2}[/tex].

We are told that this is equivalent to the last remaining $180 that John left to charity.

=> [tex]\frac{9}{13} * \frac{T - 52}{2} = 108[/tex]

Hence:

[tex]\frac{9(T - 52)}{13 * 2} = 180\\\\9(T - 52) = 180 * 13 * 2\\\\9(T - 52) = 4680\\\\T - 52 = \frac{4680}{9} = 520\\\\[/tex]

=> T = 520 + 52 = $572

Hence, John took $572 from his savings account. Since this is all he had in his savings account, John had $572 in his savings account.

Working backward, we determined that John originally had $572 in his savings account before spending on the radio, presents, putting money into his checking account, and giving to charity.

To solve this mathematics problem, we need to work backward from the information provided. John spent $52 on a radio and then spent half of the remaining amount on presents. After that, he put 4/13 of the remaining money into his checking account and then gave $180 to charity. Let's represent the original amount of money John had as x.

After buying the radio, John had x - $52 left. He then spent half on presents, so he had (x - $52)/2 remaining. After putting 4/13 of what was left into his checking, the equation becomes ((x - $52)/2) * (9/13) since 9/13 is the complement of 4/13, which goes into the checking account. This amount equaled the last remaining $180.

The equation to find the original amount x is:
(((x - $52) / 2) * (9/13)) = $180

Now solve for x:

So, the original amount of money John had was $572.

https://brainly.com/question/28904617

#SPJ3

Answer: 0

Step-by-step explanation:

The probability of event A happening, then event B, is the probability of event A happening times the probability of event B happening given that event A already happened.

In this case, event A is the Captain hitting the pirate ship and event B is the pirate hitting the Captain's ship.

The Captain fires first, so his ship can't be sunk before he fires his cannons.

So, the probability of the Captain hitting the pirate ship is 2/5  

If the Captain hit the pirate ship, the pirate has no chance of firing back.

So, the probability of the pirate hitting the Captain's ship given the Captain hitting the pirate ship is 0.

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The following table shows the number of comments on each of Omar's 9 most recent social media posts.

0 2 8

7 0 0

0 6 4

Based on this data, what is a reasonable estimate of the probability that Omar's next post will get no  comments?

Answer:

P(0) = 44.4%

Step-by-step explanation:

We are given the number of comments on each of Omar's 9 most recent social media posts.

We want to find the probability that Omar's next post will have 0 comments.

We know that probability is given by

P(0) = No. of desired outcomes/No. of total outcomes

From the above data we know that total number of outcomes are 9.

Now count the number of times Omar got 0 comments.

These are the desired outcomes.  (4 times)

Therefore, the probability of getting 0 comments is

P(0) = 4/9

P(0) = 0.444

P(0) = 44.4%

Answer:

4/9.

Step-by-step explanation:

I know where you get these questions from ;)

Answer:

  0

Step-by-step explanation:

Using Descartes' rule of signs, we observe that the signs of the coefficients, + - +, have two changes. Thus there will be 0 or 2 positive real roots, hence 0 or 2 complex roots.

We can do further work to determine if it is 0 or 2. A graphing calculator provides an easy answer.

This function of x has no complex zeros. They are all real.

_____

For a cubic, it isn't always easy to find the zeros. The rational root theorem tells you any rational zeros will be factors of 30. Possibilities are ...

  ±1, ±2, ±3, ±5, ±6 . . . . . we're pretty sure no roots have magnitude > 6

For x=0, y = 30 . . . . the constant

For x=1, y = 12 . . . . . a smaller value, so we're going in the right direction

For x=2, y = 0 . . . . . one of the real roots

Dividing out this factor*, we get ...

  y = (x -2)(x^2 +2x -15)

Factoring the quadratic gives ...

  y = (x -2)(x -3)(x +5) . . . . . . all real zeros

_____

* For dividing x^3 -19x +30, synthetic division works well. The work for that is shown in the second attachment.

Answer:

351.68

Step-by-step explanation:

c = 2πr

c = 2(3.14)(56)

c = 6.28(56)

c = 351.68

Answer:

Step-by-step explanation:

Answer:

See attachment for histogram

Step-by-step explanation:

The histogram shows that the majority of customers have monthly bills between 25 to 29. There is a break between $45-$54 monthly bill as there is no customer with this amount of monthly bill. Then there is one customer between $55-$59 monthly bill.

Final answer:

The histogram of Internet costs shows a concentration between $19-28, with the majority of prices ranging from $23 to $27. It is unimodal and right-skewed with costs spread from $14 to $58, indicating that a smaller number of individuals pay much higher prices for internet access.

Explanation:

To create a histogram of the data on the cost of Internet access using intervals of $5, we will first determine the range of values within each interval:

From the histogram, we can see that the majority of responses fall within the $19-28 range, specifically between $23 and $27. This signifies that most people in the survey pay a moderate price for Internet access. The distribution is unimodal, skewing right, and has a spread from $14 to $58, with a slight concentration of high costs on the right indicating few individuals pay significantly more for internet access.

Answer:

sorry i cant

Step-by-step explanation:

my eyes hurt reading this

good luck to whoever solves this

3.274 x 10^3 written as an ordinary number is 3274. This is achieved by moving the decimal point three places to the right.

The student's question is asking for a conversion from scientific notation to an ordinary number. This process is simple once you understand what the scientific notation represents. The value 3.274 x 10^3 implies that the decimal point in 3.274 is moved to the right three places because the power of 10 is positive 3.

Therefore to write 3.274 x 10^3 as an ordinary number, we move the decimal point three places to the right starting from where it currently is after the number 3. So, 3.274 becomes 3274.

In concise, 3.274 x 10^3 written as an ordinary number is 3274.

https://brainly.com/question/16936662

#SPJ12

The width of the arch at floor level is 5 feet.

The equation given to model the archway to the entrance of an art gallery is y = -}(x - 5)(x + 5). To find the width of the arch at floor level, we need to find the x-values that correspond to y = 0. Setting y = 0 and solving for x, we get:

0 = -}(x - 5)(x + 5)

0 = (x - 5)(x + 5)

Using the zero product property, we can separate the equation into two parts:

x - 5 = 0 and x + 5 = 0

Solving each equation separately, we get:

x = 5 and x = -5

Therefore, the width of the arch at floor level is 5 feet.

https://brainly.com/question/37884381

#SPJ2

The width of the arch at floor level is the distance between these points, which is 10 feet (5 - (-5) = 10).

The archway to the entrance of an art gallery is modeled by the equation y = -1(x - 5)(x + 5). To find the width of the arch at floor level (y = 0), we need to determine the x-intercepts of the equation.

1. Set y = 0 in the equation: 0 = -1(x - 5)(x + 5).

2. This simplifies to (x - 5)(x + 5) = 0.

3. Setting each factor to zero, we get x - 5 = 0 or x + 5 = 0.

4. Solve these equations for x: x = 5 or x = -5.

The x-intercepts are -5 and 5.

Therefore, the width of the arch at floor level is the distance between these points, which is 10 feet (5 - (-5) = 10).

Answer:

A one-sample t-interval for a population mean

Step-by-step explanation:

As the question is "How many minutes per day, on average, do you spend visiting social media sites?", the answer will be in a numerical form (number of hours, positive integer or real number).

As this is not a proportion, the option "A one-sample t-interval for a population mean" is discarded.

As the study does not defined another variable to compare in pairs, it is not a matched-pairs test. Option "A matched-pairs t -interval for a mean difference" discarded.

There are not two means in the study, so there is no "difference between means" variable. Options "A two-sample z-interval for a difference between proportions" and "A two-sample t-interval for a difference between means".

This should be a  one-sample t-interval for a population mean, as there is only one sample, one population mean and the population standard deviation is not known.

The required correct statement 'A one-sample t-interval for a population mean'.

We have to determine, Which of the following is the most appropriate inference procedure for the sociologist to use?

According to the question,

The sociologist wants to estimate the average total number of minutes spent on social media per day in the population.,

A random sample of 50 high school students was selected,

And they were asked, “How many minutes per day, on average, do you spend visiting social media sites.

The answer will be in a numerical form (number of hours, positive integer or real number).

The time spent on social media keeps increasing. it can deduce as at now that trending social media platforms take much of the time spent on social media.

On average, spend 240 minutes per day on social media sites. As New social media handles keep coming,

As the given condition is not a proportion, the option "A one-sample t-interval for a population mean" is discarded.

The study does not defined another variable n difference" discarded.

There are not two means in the study, so there is no "difference between means" variable.

"A two-sample z-interval for a difference between proportions" and "A two-sample t-interval for a difference between means".

This should be a one-sample t-interval for a population mean, as there is only one sample, one population mean and the population standard deviation is not known.

Hence, The required correct statement 'A one-sample t-interval for a population mean'.

To know more about Sample space click the link given below.

https://brainly.com/question/24128248?referrer

Answer:

y = 8.1

Step-by-step explanation:

y+2.9=11

Subtract 2.9 from each side

y+2.9-2.9 = 11-2.9

y =8.1