In ΔMNO, m = 9 cm, n = 8.3 cm and ∠O=35°. Find ∠N, to the nearest 10th of a degree.

Answers

Answer 1

Check the picture below.

let's firstly get the side "o", then use the Law of Sines to get ∡N.

[tex]\textit{Law of Cosines}\\\\ c^2 = a^2+b^2-(2ab)\cos(C)\implies c = \sqrt{a^2+b^2-(2ab)\cos(C)} \\\\[-0.35em] ~\dotfill\\\\ o = \sqrt{8.3^2+9^2~-~2(8.3)(9)\cos(35^o)} \implies o = \sqrt{ 149.89 - 149.4 \cos(35^o) } \\\\\\ o \approx \sqrt{ 149.89 - (122.3813) } \implies o \approx \sqrt{ 27.5087 } \implies o \approx 5.24 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\textit{Law of Sines} \\\\ \cfrac{\sin(\measuredangle A)}{a}=\cfrac{\sin(\measuredangle B)}{b}=\cfrac{\sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\sin( N )}{8.3}\approx\cfrac{\sin( 35^o )}{5.24}\implies 5.24\sin(N)\approx8.3\sin(35^o) \implies \sin(N)\approx\cfrac{8.3\sin(35^o)}{5.24} \\\\\\ N\approx\sin^{-1}\left( ~~ \cfrac{8.3\sin( 35^o)}{5.24} ~~\right)\implies N\approx 65.30^o[/tex]

Make sure your calculator is in Degree mode.

In MNO, M = 9 Cm, N = 8.3 Cm And O=35. Find N, To The Nearest 10th Of A Degree.

Related Questions

2) given that z is a standard normal random variable, compute the following probabilities. a. p(z ≤ -1.09) = b. p(z ≤ -1.5) = c. p(z ≥ 1.3) = d. p(z ≥ 2.54) = e. p(-0.71 < z ≤ 2.54) =

Answers

The probability of z being less than or equal to,-1.09 is approximately 0.1379,-1.5 is approximately 0.0668, 1.3 is approximately 0.0968.2.54 is approximately 0.0057,-0.71 and 2.54 (exclusive) is approximately 0.6467.

To compute these probabilities, we can use the standard normal distribution table or a statistical software. In the standard normal distribution table, we look up the given z-values and find the corresponding probabilities.

For (a), the probability of z being less than or equal to -1.09 is approximately 0.1379.

For (b), the probability of z being less than or equal to -1.5 is approximately 0.0668.

For (c), the probability of z being greater than or equal to 1.3 is approximately 0.0968.

For (d), the probability of z being greater than or equal to 2.54 is approximately 0.0057.

For (e), we subtract the probability of z being less than or equal to -0.71 from the probability of z being less than or equal to 2.54. This gives us approximately 0.6467.

These probabilities provide information about the likelihood of certain values occurring in a standard normal distribution.

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Yuri's homework grades for the 4th six-weeks were as follows: 67, 71, 49, 82, 87, 91, 78 What is the mean (average) of the following set of data? Round your answer to the nearest tenth of a decimal (one decimal place).

Answers

The mean of the data set would be 75.

The figure shows a tank in the form of a rectangular prism that is 25% full of water. How many more gallons of water will it take to fill the tank? (1 gallon 231 in.)​

Answers

Answer:

if it is one gallon then it will take 75 more percent

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

For a fixed confidence level, when the sample size decreases, the length of the confidence interval for a population mean decreases.
a. True
b. False

Answers

The given statement "For a fixed confidence level, when the sample size decreases, the length of the confidence interval for a population mean decreases." is false, length of CI increases in this case.

When the sample size decreases, the length of the confidence interval for a population mean actually increases, not decreases.

The length of a confidence interval is influenced by several factors, including the sample size, the variability of the data, and the desired level of confidence. A confidence interval provides a range of values within which the population mean is estimated to lie.

When the sample size is smaller, there is less information available to estimate the population mean accurately. As a result, the confidence interval needs to be wider to accommodate the increased uncertainty. This wider interval allows for a larger range of potential values for the population mean.

On the other hand, as the sample size increases, there is more data available to estimate the population mean. This increased amount of information leads to a more precise estimate, allowing for a narrower confidence interval.

Therefore, for a fixed confidence level, as the sample size decreases, the length of the confidence interval for a population mean generally increases, not decreases.

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Sidney has $100 in a savings account. The interest rate is 10% per year and is not
compounded. How much interest will she earn in 3 years?

Answers

Answer:

130 dollars

Step-by-step explanation:

This time I don't think I done messed it up

Have a good day!

The population of a small town is decreasing by 2% per year. The population in the year 2017 was 3,850. A. By how many people will be the population decrease from 2027 to 2018? B. What will be the populatiom of the town in 2018?

Answers

Answer:

A. 77

B. 3,773

Step-by-step explanation:

According to the problem, computation of given data are as follows,

Population in 2017 = 3,850

Decrease rate = 2% per year

(A) We can calculate number of population decrease from 2017 to 2018 by using following formula,

Number of population decrease = Population in 2017 × Decrease rate

= 3,850 × 2%

= 77

(B). Total population in 2018 = 3,850 - 77

= 3,773

hehe guess it right;)

Answers

Answer:

I don't understand this at all but I wanted to take a stab at it anyway.

It's not an even number, it's less than 50, it has to be divisible by six or three in order to be 5 more than a perfect square, and it has to be two or three digits that equal 40.

Sounds hard.

Okay first I want to get all the odd numbered equations that could equal 40

1+39      19+21

3+37      17+23

5+35      15+25

7+33      

9+31      

11+29    

13+27    

This is taking so much brain power, wow... So none of those so far would work, which makes me think that it would be a single digit equation to make it double digit, but nothing, not even 9+9 equals 40, so at least one of the numbers would have to be double digit but that makes no sense because then the number would have to have three digits, which makes it more than 100!

This is impossible. I think I have to rephrase my answer above in saying that the number has to be more than 100, but that means I have no idea what that first line means...

I'm so frustrated by this imao... Asker of the question, if you've figured out the answer please let me know because I am so confused.

Answer:

I DONT KNOW

Step-by-step explanation:

hehe

A package of 12 pencils costs $0.96. At this rate, how much would 100 pencils cost?



A. $8.35


B. $10.80


C. $9.60


D. $8.00

Answers

Answer:

B

Step-by-step explanation:

Please Give brainliest

Answer:

D

Step-by-step explanation:

Necesito un dibujo donde se muestren los ángulos agudos obtusos rectos y llanos

Answers

Answer:

El dibujo se encuentra adjuntado al término de este documento, después de las explicaciones previas.

Step-by-step explanation:

Por Geometría sabemos lo siguiente:

Angulo recto - Dos semirrectas con origen común y cuya medida angular es mayor a 0° y menor a 90°.

Angulo obtuso - Dos semirrectas con origen común y cuya medida angular es mayor a 90° y menor a 180°.

Angulo recto - Dos semirrectas con origen común y cuya medida angular es igual a 90°.

Angulo llano - Dos semirrectas con origen común y cuya medida angular es igual a 180°.

Finalmente, presentamos un dibujo representativo de los cuatro tipos de ángulos.

which criterion is least likely to be used in choosing bins (classes) in a frequency distribution?

Answers

The criterion that is least likely to be used in choosing bins (classes) in a frequency distribution is personal preference or subjective judgment.

When constructing a frequency distribution, it is important to consider objective criteria based on the nature of the data and statistical principles. Common criteria used for choosing bins include the range of the data, the desired number of bins, the shape of the data distribution, and the purpose of the analysis. These criteria help ensure that the bins effectively capture the variation in the data and provide meaningful insights. Personal preference or subjective judgment, on the other hand, may introduce bias and lack objectivity in determining the bin boundaries. It is essential to rely on objective criteria and statistical guidelines to make informed decisions when choosing bins for a frequency distribution.

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Use cylindrical coordinates. ∭_e x^2 dv .where E … solid thati x2 dV, where E is the solid that lies within the cylinder x^2 + y^2=4, above the plane z = 0, and below the cone z^2 4x^2 + 4y^2

Answers

The value of the triple integral ∭_E x² dV over the given solid E is 64π/5.

To evaluate the triple integral ∭_E x^2 dV, where E is the solid that lies within the cylinder x² + y² = 4, above the plane z = 0, and below the cone z² = 4x² + 4y², we can express the integral in terms of cylindrical coordinates.

In cylindrical coordinates, we have:

x = r cos(theta)

y = r sin(theta)

z = z

The limits for the cylindrical coordinates are as follows:

0 ≤ r ≤ 2 (limits for the radius)

0 ≤ theta ≤ 2π (limits for the angle)

0 ≤ z ≤ sqrt(4r²) = 2r (limits for the height, as per the cone equation)

Now let's express the integral in cylindrical coordinates:

∭_E x² dV = ∭_E (r cos(theta))² r dz dr d(theta)

Let's evaluate the integral step by step:

∫[0 to 2π] ∫[0 to 2] ∫[0 to 2r] (r³ cos²(theta)) dz dr d(theta)

We can simplify the innermost integral with respect to z:

∫[0 to 2π] ∫[0 to 2] [r³ cos²(theta)z] |[0 to 2r] dr d(theta)

= ∫[0 to 2π] ∫[0 to 2] (r³ cos²(theta)(2r)) dr d(theta)

= 2 ∫[0 to 2π] ∫[0 to 2] (2r⁴ cos²(theta)) dr d(theta)

Now, let's integrate with respect to r:

2 ∫[0 to 2π] [(1/5) r⁵ cos²(theta)] |[0 to 2] d(theta)

= 2 ∫[0 to 2π] [(1/5)(32 cos²(theta))] d(theta)

= (64/5) ∫[0 to 2π] cos²(theta) d(theta)

To evaluate the remaining integral, we can use the identity cos²(theta) = (1 + cos(2theta))/2:

(64/5) ∫[0 to 2π] [(1 + cos(2theta))/2] d(theta)

= (64/10) ∫[0 to 2π] (1 + cos(2theta)) d(theta)

= (64/10) [(theta + (1/2)sin(2theta))] |[0 to 2π]

= (64/10) [(2π + (1/2)sin(4π)) - (0 + (1/2)sin(0))]

= (64/10) (2π + 0 - 0)

= (64/10) (2π)

= 128π/10

= 64π/5

Therefore, the value of the triple integral ∭_E x² dV over the given solid E is 64π/5.

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a box in mrs booths class contains 200 loose white or yellow golf balls

Answers

Answer:

Dot Plot

Step-by-step explanation:

Cool
Is there a question? Like a second part? Or a dot plot orrr a graph?

Libby can finish a paper in 2 hours. Ethan can finish the same paper in 4 hours. How
long will it take them to finish a paper if they work together?

Answers

Answer:

1.33333 hours

Step-by-step explanation:

Given :

Time taken by Libby = 2 hours

Time taken by Ethan = 4 hours

rate = 1 / time taken

Libby's rate = 1 /2

Ethan's rate = 1/4

Combined rate = Libby's rate + Ethan's rate

Combined rate = 1/2 + 1/4 = 3/4

Time taken = 1 / combined rate

Time taken = 1 / (3/4)

Time taken = 4 /3

Time taken = 1.33333 hours

Mr. Singh needed to understand the trend of his students’ latest test scores. Find the mean and median for each set of data, and then determine which gives a better picture of the scores.

Scores: 89, 99, 80, 5, 90, 0, 100, 95

Answers

Answer:

See explanations below

Step-by-step explanation:

Mean is the average of the data

Mean = sum of data/sample size

Sum of data = 89+99+80+5+90+0+100+95

Sum of data = 558

Sample size = 8

Mean = 558/8

Mean = 69.75

Median is the data value in the middle after rearrangement

Rearrange

0 , 5, 80) 89, 90, (95, 99 100

Median = 89+90/2

Median = 89.5

The parameter that gives a better picture of the scores is the Mean since all the given datas are taken into consideration

The mean test score is

✔ 69.75

.

The median test score is

✔ 89.5

.

Which measure of center best represents the test data?

✔ median

I hope this helps!

Which graph represents the function f(x) = 4|x|?

Answers

i’m pretty sure it’s A

Answer:

A

Step-by-step explanation:

got it correct in edu

A spinner used in a board game is divided into 12 equally sized sectors. Seven of these sectors indicate that the player should move his token forward on the board, three of these sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board.


The total area of the sectors that do not allow the player to move his token is 45. 1 inches squared.


What is the radius of the spinner?


Enter your answer, rounded to the nearest tenth of an inch, in the box

Answers

Answer:

The radius is 9.28 inches.

Step-by-step explanation:

Since there are 7 Move Ahead zones, and 3 Go Backwards zones on the spinner, there must be 2 other zones (the Freeze! +Bonus pts)

2 out of 12 zones are Freeze! +Bonus pts. That is 1/6 of the spinner. They said the area of the the Freeze!+Bonus pts is 45.1 inches squared.

45.1 × 6

= 270.6

The entire spinner has the area 270.6

The area of a circle is:

A = pi•r^2

We are looking for r. Thats the radius they asked for in the question.

270.6 = pi•r^2

pi is a number, I'm using the pi button on the calculator bc it is most exact.

270.6 = pi•r^2

Divide both sides by pi.

86.134655 = r^2

square root both sides.

9.28 = r

The radius is 9.28 inches.

What is the volume of a cylinder with base radius 333 and height 666?

Answers

Answer:

V=πr2h=π·3332·666≈2.32013×108

Step-by-step explanation:

You spin the spinner twice what is the probability of landing on a three and then landing on a number greater than three

Answers

Answer:

2/4

Step-by-step explanation:

The Consumer Reports National Research Center conducted a telephone survey of 2000 adults to learn about the major economic concerns for the future (Consumer Reports, January 2009). The survey results showed that 1760 of the respondents think the future health of Social Security is a major economic concern. a. What is the point estimate of the population proportion of adults who think the future health of Social Security is a major economic concern (to 2 decimals)

Answers

Answer:

The point estimate is 0.88

Step-by-step explanation:

Given

[tex]n = 2000[/tex] -- sample size

[tex]x = 1760[/tex] -- adults who think future health of social security is a major economic concerm

Required

Determine the point estimate

This is calculated as:

[tex]\hat p= \frac{x}{n}[/tex]

[tex]\hat p= \frac{1760}{2000}[/tex]

[tex]\hat p = 0.88[/tex]

The point estimate is 0.88

Which graph represents an equation in the form =?

Please help me!!

Answers

That's a question about graphs.

In the Cartesian coordinate system, we have two axes: The x-axis (horizontal) and the y-axis (vertical).

When we want to represent a equation in the cartesian coodinate system, we associate a point in the x-axis and other in the y-axis. The Cartesian coordinate is represented by (x, y).

To represent some equation in a graph, we need at least two points to draw a line that cross these 2 points.

For example: To represent the equation [tex]y = x +1[/tex], let's replace the value of x:

When x = 0 → [tex]y = 0 + 1 = 1[/tex]. Therefore, the coordenate is (0, 1).When x = 1 → [tex]y = 1 + 1 = 2[/tex]. Therefore, the coordenate is (1, 2).

Finally, if we draw a line tha cross these 2 points, we will have the graph that represents [tex]y = x +1[/tex].

Now you know about it, let's solve our problem?

In that question, we should to find the graph that represents the equation [tex]y = kx[/tex], but we don't know the value of k, so what should we do? It's easy:

k is a constant. That means that the value of k never changes. Now, let's analyze a specific case:

If x = 0, so y = 0 as well. But why? We know that any number multiplied by 0 is equal 0. Therefore:

When If x = 0 → [tex]y = 0 \times k = 0[/tex]. So, this graph cross the coordinate (0,0).

With the informations that the problem give to us, these are the unique things that we can find, but that's enough.

When we look at the options, just the second graph have a line that cross the coordenate (0, 0). Therefore, the correct answer is the graph below:

I hope I've helped. :D

Enjoy your studies! \o/

The equation of a line in the form y = a number creates this kind of line.

Answers

Answer:

a diagonal one??? like its linear uhm okay here i have a picture one sec

Step-by-step explanation:

A graph line would be the core answer

Paper lanterns are $3.50 each. Write
a direct proportion equation using p
for paper lanterns and c for total
cost.
A. 3.50c = p
B. 3.5pc
C. 3.50 + p = C
D. 3.50p = 0

Answers

Answer:

it's probably C

Step-by-step explanation:

️‍♀️

hiiii pppplease help i’ll give brainliest

Answers

I believe the answer is winter since seasons are reversed at the poles and it’s summer while the South faces the sun so reverse and it would be winter

Answer:

Step-by-step explanation:

For observers right at the north pole and the south pole, there are only two seasons – an almost six-month long winter night followed by an almost six-month long summer day!

HELP! plz I can't find the aswer

Answers

Answer: 2(n+8)

Explanation: n +8 = adds 8
Multiply by 2 => Doubles the sum of n+8

Need help on this one I really don’t get this

Answers

its 0 cause 0 divided by any number is 0 but if it was 15/0, then it would be undefined

NO LINKS PLEASE- OR I SWEAR-

Read the question and answer below. Remember that one measure of center is better than another when you have outliers in the data set. *

A. A
B. B
C. C
D. D

Answers

Answer:

C

Step-by-step explanation:

C is the answer to your question

Eric needs $10 to buy a book. He has $6 already. How much more money does Eric
need?

Answers

10-6=4
He needs 4 more dollars

Answer: $4

Step-by-step explanation: Since he needs 10 dollars and he already has 6 dollars, we can subtract to find the remaining amount, which is 4 dollars.

What is the area of the rectangle below?
5/6 m H
2/3 m L

Answers

Answer:

5/9

Step-by-step explanation:

Answer:

A = 0.55 or 5/9

Step-by-step explanation:

Area = HL

A = (5/6)(2/3)

A = 0.55 or 5/9

en que consiste la jerarquía de operaciones?

Answers

Answer:

La jerarquía de operaciones es un método para resolver operaciones con múltiples operadores; saber realizarla te servirá para resolver los diversos problemas que te presenten en tu examen CENEVAL EXANI-II.  En primer lugar, se deben resolver las operaciones de potencias y raíces.

Step-by-step explanation:

(h + 1) cm 6 cm A Write and solve an equation to find the value of h Include all of your work in your answer. B. In two or more complete sentences, verify your answer using mental math. 2​

Answers

Answer:

See below

Step-by-step explanation:

we are given opposite and adjacent if the given right angle triangle

we want to make an equation with the given information

Part-1:

notice that adjacent is greater than opposite so we can only take 30° as our angle

hence,

using trigonometric property

our equation is

[tex] \displaystyle \: \tan( {30}^{ \circ} ) = \frac{h + 1}{6} [/tex]

we took tangent function because we know that tangent function is the ratio of opposite and adjacent

now let's solve the equation

recall unit circle:

[tex] \displaystyle \: \frac{ \sqrt[]{3} }{3} = \frac{h + 1}{6} [/tex]

cross multiplication:

[tex]3(h + 1) = 6 \sqrt{3} [/tex]

divide both sides by 3:

[tex]h + 1 = 2 \sqrt{3} [/tex]

cancel 1 from both sides:

[tex] \therefore \: h = 2 \sqrt{3} - 1[/tex]

Part-2:

by using mental math

The angle of elevation at the top of a tower at a point on the ground is 30° at a distance of 6 metre from the foot and the height of the tower is h+1. find h

now this question verifies the equation

because we are given a right angle triangle where the opposite is less than the adjacent so we took 30° as our angle

by solving the equation we'll again get our answer

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What statement best describes the industrialization of other western nations after Britain? What are FOUR of the qualities required for a healthy relatonship? (1 x 4 =4) Complete the sentence with correct expression.1. ______________ el caf. *Me gustanMe encantaTe gustanMe encantan2. _______________________ las papas fritas. *Me encantanMe gustaMe encantaTe gusta3. ______________________ los huevos con jamn. *Me gustanMe encantaTe gustaMe gusta4. __________________ la leche. *Me encantanNo me gustanTe gustanNo me gusta5. __________________ las galletas. *Me gustaMe encantanMe encantaTe gusta6. __________________ las manzanas. *Me gustaMe encantaTe gustaMe encantan7. __________________ el desayuno. *Me encantaTe gustanMe encantanMe gustan Short stories can be read in one sitting and rarely exceed five pages in length. True False The Interest Rate sensitive securities possess well defined risk and return characteristicsthat are a function of the structural features of a particular security and how the price of thesecurity responds to changes in the many factors that are used to derive its price. Thecharacteristic known as pull to par is best defined as the characteristic where by:A. The price of the fixed rate bond equals the par value as the result of the yield tomaturity equalling the coupon rate on a coupon payment date.B. The price of the fixed rate bond equals its par value at the time of the securitysissuance,C. The random chance of the price of the fixed rate bond equalling its par value overtime,D. The price of the fixed rate bond, in the abscence of default, converging in to the parvalue of the security as time passes and the term to maturity of the security reducesto zero what is the mass of 2.31 x 10^23 formula units of SrF2? Arthur is interested in the effects of sleep deprivation usage on number of calories consumed. He asks a group of 20 college students to spend the night in the sleep lab under one of these conditions: no sleep, 2 hours of sleep, 4 hours of sleep, 6 hours of sleep, or 8 hours of sleep. Arthur measures how many calories are consumed by the students in the sleep lab, which is stocked with various food items. After collecting these data, Arthur performs an ANOVA and finds that he can reject the null hypothesis. On the basis of this, what does Arthur know What was Philip Caputo's point of you at the beginning of the Vietnam war? help would be really nice here just a bit lost how cookies can show that a user has visited a site if that user's history has been deleted. Determine the value of x in the figure.ASAAAAAAAAAAAPPPPPPPPPPPPPPPQuestion 14 options:A) x = 65B) x = 60C) x = 50D) x = 130 Convert 8.19 x 10-14 moles of gold to atoms. where is lumbini located Think about comparing a table to a graph. What steps would you take to determine which of the two has a greater rate of change? Please help I need this for math!!!Thank you The result is an electrolyte with a positive interior in a negative exterior on one side and a negative interior and a positive exterior on the other basically a biological battery.What device is being used for the battery? A. SimileB. Metaphor C. Personification D. Hyperbole Help! I dont know what this is. determine Sn given the series: 45 - 56 + 67 - 78 + 89- 100 + ..... - 342 Which part of a word tells you the organ or locations?Question 1 options:prefixrootsuffixWhich part of the word tells you the condition of the organ (in other words, what is happening to the organ)?Question 2 options: prefixrootsuffixOsteo is the medical root for heart.Question 3 options: True FalsePsycho is the medical root for mind.Question 4 options: True FalseMasto is the medical root for:Question 5 options:OvariesBreastsUterusMost medical words come from Greek and LatinQuestion 6 options: True False Your organization remits to the Canada Revenue Agency under two separate business numbers. In your monthly verification of the posted amounts listed on the PD7A, you discover that a payment was submitted to the wrong tax account. To correct the error, you: O contact the Canada Revenue Agency requesting that the payment be transferred from one account to the other (include an explanation) O adjust your year-end remittances accordingly O reduce your next few remittances until the accounts balance O do nothing as it is all the same organization Heat is most closely related to which kind of energy?