In ΔLMN, l = 810 cm, m = 620 cm and ∠N=166°. Find the length of n, to the nearest centimeter.

Answers

Answer 1

Answer:

1420

Step-by-step explanation:

delta math

Answer 2

The required length of n is 1419.5 cm which is determined by the Law of Cosines.

What is a Triangle?

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.

In triangle ΔLMN,

l = 810 cm, m = 620 cm and ∠N=166°.

We have to determine the length of n

The Law of Cosines as it relates all three sides of a triangle with an angle of a triangle.

n² = l² + m² − 2lm cos(N)

Substitute the values in the above formula and solve for n

n² = 810² + 620² − 2 × 810 × 620 × cos(166°)

n² = 810² + 620² − 104400 × cos(166°)

n = ±1419.5

n = 1419.5, and n = - 1419.5

Neglected the value of n = - 1419.5 because length should not be negative.

n = 1419.5 cm

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Related Questions

What is the volume of a cylinder, in cubic inches, with a height of 13 inches and a
base diameter of 12 inches? Round to the nearest tenths place

Answers

Answer:

Rounded to the nearest integer, the volume of the cylinder is 5,878 cubic inches.

Step-by-step explanation:

Given that the volume of a cylinder is calculated using the formula Phi x Radius ^ 2 x Height, and knowing that the cylinder in question has a height of 13 inches and a base diameter of 12 inches, to calculate said volume the following calculation must be done:

Phi x (12x12) x 13 = X

Phi x 144 x 13 = X

Phi x 1,872 = X

3.14 x 1,872 = X

5,878.08 = X

Thus, rounded to the nearest integer, the volume of the cylinder is 5,878 cubic inches.

The answer is 1470.3

What is the total surface area of the pyramid below?
5 ft
-
6ft
6 ft
Please I need answer!

Answers

Answer:

17 ft that's the ans

I don't know if it is correct

PLEASE HELP!! WILL GIVE BRAINLIEST An artist has been commissioned to make a stained glass window in the shape of a regular octagon. The octagon must fit inside an 16-in. square space. Determine the length of each side of the octagon. Round to the nearest hundredth of an inch.​

Answers

The length of each side of octagon is 1.66 inches.

The captain of the basketball team wants to determine where the team should go for their end-of-season celebration. Which of the following is a representative sample? Select all that apply.
A.


The students in her homeroom
B.


Players whose names are randomly selected from a hat
C.


The players in the starting lineup
D.


All players over 5 feet tall
E.


Every 5th player selected from an alphabetical roster of the team

Answers

The answer is c . Players whose names are randomly selected from a hat

The representative samples are Players whose names are randomly selected from a hat and Every 5th player selected from an alphabetical roster of the team. (Option B and E).

What is Representative Sample?

A representative sample is a subset of a larger population that accurately reflects the characteristics, diversity, and distribution of the entire population. When conducting research or making decisions based on data, it is often impractical or impossible to collect information from every individual in the population. Instead, researchers or decision-makers select a representative sample to draw conclusions or make inferences about the entire population.

For a sample to be considered representative, it should be selected in a way that ensures each member of the population has an equal or proportional chance of being included. In the given problem, both options provide a fair chance for each team member to be included in the selection for the end-of-season celebration destination.

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PLEASE HELP 20 POINTS
Stephen and Chelsea want to increase the volume of this prism by 72 cubic centimeters. Chelsea wants to add eight layers, and Stephen says they only need to add four layers. Their teacher tells them they are both correct. Explain how this is possible.

Answers

Step-by-step explanation:

2.

- the volume of initial prism is 3*3*6=54 cm³;

- the number of cubics of the requested 72 cm³ is 72;

- 'Chelsea wants to add eight layers' means 72=3*3*8 cubics, then one layer in this case consists of 3x3 cubics;

- 'Stephen says they only need to add four layers' means 72=4*3*6 cubics, then one layer in this case consists of 3x6 cubics.

3.

- the volume of initial prism is 4*4*1=16 in³; it means one layer is 16 inches³;

- according to the requirement 3 layers is 16*3=48 in³; three times 16.

- according to the requirement 5 layers is 16*5=80 in³; five times 16.

- according to the requirement 7 layers is 16*7=112 in³; seven times 16.

Help with this please

Answers

Answer:

The is no picture

Step-by-step explanation:

Answer:

with what???

Step-by-step explanation:

3 tons of cement cost $780.00. What is the price per pound?​

Answers

Answer:

$260

Step-by-step explanation:

Divide $780.00 by 3.

780 ÷ 3 = $260

Read the sentences below. They are the first part of a summary of the article. Atoms are the building blocks of everything. They are too tiny to be seen. Atoms are made up of electrons, protons and neutrons. Which answer BEST completes the summary? A Each atom has a special number and element B Each atom has some oxygen and hydrogen. с Each atom has an atomic number of 1. D Each atom is made up of 100 elements.​

Answers

Answer:

A (i think)

Step-by-step explanation:

If i'm right please mark me branliest

SOMEONE PLS HELP ME WITH THIS I RLLY DONT UNDERSTAND IF YOU ANSWER CORRECTLY I WILL MARK YOU AS BRAINLIEST PLS AND TY​

Answers

Answer:

1. B    2. D

Step-by-step explanation:

For the first answer we see that as there are more vehicles, the speed of the vehicles goes down. This can be seen from the negative slope of the scatter plot. In the second image, we cannot see any relation between the x and y coordinates.

Can someone please help me I’m desperate it due tomorrowwww

Answers

Answer:

Step-by-step explanation:

First box: m=1/2

Second box: m=2

Third box: m=1

Fourth box: m=2

A circle has a diameter of 16 centimeters.

What is the best approximation of its area?

Use 3.14 to approximate for π.

Question 7 options:

803.84 cm2

50.24 cm2

200.96 cm2

Answers

Answer:

Step-by-step explanation:

Area of a circle=πr²

Radius = 16/2=8 Area of a circle=3.14×8×8

= 3.14×64

= 200.96cm²

= 201 cm² to the nearest unit.

a bakerysells a cake for 250.00 pesos. the labor cost 32.50pesos per cake.flour costs 31.85pesos.other costs add up to 92.10pesos.what is bakery's profit on each cake.what is the operation to be used?​

Answers

The profit on each cake is $93.55 pesos.

deduct one whole number from the other number

Factorise
7lm - 21lmn​

Answers

Answer:

7lm - 21lmn

taking common

7lm(1-3n)

What is the surfsce area of the prism with 12 cm 11 cm and 10,cm

Answers

Answer:

Step-by-step explanation:

The surface area of a rectangular prism is

A=2(xy+xz+yz). where x,y,z are its dimensions, in this case

A=2(12(11)+12(10)+11(10))

A=2(132+120+110)

A=2(362)

A=724 cm^2

Answer: 724cm²

Step-by-step explanation:

The formula is: 2(lw + hl + hw). Our units are 12, 11, and 10. So, the Length, Width, and Height are,

12 is the Length.

11 is the Width

10 is the Height.

Let's solve now. Our problem will be written like this,

2 · (11 × 12) + (10 × 12) + (10 × 11)

Let's solve.

1. Multiply 11 by 12.

11 × 12 = 132

2. Multiply 10 by 12.

10 × 12 = 120

3. Multiply 10 by 11.

10 × 11 = 110

4. Add up all the products.

132 + 120 + 110 = 362

5. Multiply 362 by 2.

362 × 2 = 724

Hence, 724 is the answer.

HOW TO CONSENTRATE ON STUDY?​

Answers

Answer:

Listen to music or watch a video about what your about to study. Or do what I do... eat while studying

Step-by-step explanation:

if -3x-8=16 what is the value of -2(x-7)

Answers

Answer:

-3x-8=16

-3x = 16+8

-3x = 24

x = 24/-3

x = -8

= -2(x-7)

= -2(-8-7)

= 30

Hope this helps you. Do mark me as brainliest.

A phone salesperson is paid a minimum weekly salary and a commission for each phone sold, as shown in the table. Confirm that the relationship is linear and give the constant rate of change and the initial value. Write it in the form of y=mx+b. *

Answers

Answer:

i do not know that one

Step-by-step explanation:

I usely use desmos but thanks to my idiot dad i can't do that after 2 weeks he should be punished  

Write the slope of a line that is parallel to the following line:

Answers

Answer:

y = 1/5x + 3

Step-by-step explanation:

To have a parralel line to another line, have the slopes of the lines be the same, just change the y- intecept. HOPE THIS HELPS!

Lori wants to trade more than 3/10 but less than 4/5 ​

Answers

Answer:

i dont know what you are asking but 3/10-8/10

Step-by-step explanation:

so she wants to trade 4/5=8/10
3 > 8/10 “> needs the line up under”

Find the circumference of the given circle
Use 3.14 as an approximation
7 in.

Answers

Answer:

Step-by-step explanation: Determine the radius of a circle. ...

Substitute this value to the formula for circumference: C = 2 * π * R = 2 * π * 14 = 87.9646 cm .

You can also use it to find the area of a circle: A = π * R² = π * 14² = 615.752 cm² .

The circumference of the given circle is approximately 43.96 inches.

Given that a circle with radius of 7 inches, we need to find the circumference of the circle,

We know that,

In the case of a circle, the circumference is the distance around the circle.

It is the total length of the curve that forms the boundary of the shape.

To find the circumference of a circle, you can use the formula:

Circumference = 2π × radius

The radius of the circle is 7 inches, and using the approximation of π as 3.14, we can substitute these values into the formula:

Circumference = 2 × 3.14 × 7

Circumference = 43.96 inches

Therefore, the circumference of the given circle is approximately 43.96 inches.

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Which transformation could NOT be used to prove that two circles are congruent to one another?
a dilation with a scale factor of 2
a dilation with a scale factor of 1
a reflection
a rotation

Answers

Answer:

the congruent the congruent???

Step-by-step explanation:a dilation a dilation with two factors???

The transformation which could not be used to prove that two circles are congruent to one another is dilation with a scale factor of 2.

Option A is the correct answer.

What is a circle?

A circle is a two-dimensional figure with a radius and circumference of 2πr.

We have,

Dilation:

It changes the size of the figure so, the transformed figure is not congruent with the original figure.

Scale factor = 1 will not change the size of the figure.

Scale factor = 2 will change the size of the figure.

Reflection:

It does not change the size or the shape.

Rotation:

It does not change the size or the shape.

Thus,

The transformation of dilation with a scale factor of 2 could not be used to prove that two circles are congruent to one another.

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What is the 30th term of the arithmetic series 3, 7, 11, ...?
118
119
120
121

Answers

The answer it’s B: 119

Answer:

119

Step-by-step explanation:

common different: 7-3=4

initial value =3

so x-3=(n-1)d

only 119-3=116 is divisible by 4

It's the ans cuz n-1 has to be integer

Diana is training for a marathon. The total miles she runs varies from week to week but follows the pattern described in the table. At the beginning of her training, Diana limited her distance so that she did not run more than 10 miles during the first three days of the week. Write an inequality you can use to find the possible distances Diana may have run on Monday during the first week of training. Solve the inequality Describe the reasonable solutions

Answers

Answer:

The inequality 3x-(x-1)>5 represents this situation. Since Diana can run more than 1 mile on tuesday and more than 6 miles on sunday.

Step-by-step explanation:

A class contains 10 sophomores, 15 juniors, and 20 seniors. A committee of 5 students is to be chosen. Each student is equally likely to be selected to serve on the committee. Let A be the event exactly 3 juniors are selected to serve on the committee. Let B be the event exactly 2 seniors are selected to serve on the committee.

Required:
a. Find P(A)
b. Find P(A| B)

Answers

Answer:

P(A) = 0.1620 , P(A|B) = 0.0707

Step-by-step explanation:

Total people = 10 + 15 + 20 = 45 , Sophomores = 10, Juniors = 15 , Seniors = 20

P(A) , exactly 3 juniors selected = (15 c 3) (30 c 2) / (45 c 5) = (455 x 435) / 1221759 = 0.1620  

P (B) , exactly 2 seniors selected = (20 c 2) (25 c 3) / (45 c 5) = (190 x 2300)/ 1221759 = 0.3576

P(A|B), exactly 3 juniors & exactly 2 seniors selected = P (A∩B) / P (B)

(15 c 3) (20 c 2) / (45 c 5) = (455 x 190) / 1221759 = 0.0707

What is the equation of the circle with a radius of 4 and a center at (3, 2) ?

Answers

Answer:

(x - 3)^2 + (y + 2)^2 = 16

Step-by-step explanation:

(x - h)^2 + (y - k)^2 = r^2

r = radius

(h, k ) is center of circle.

The center of the circle is (3, 2) and r is 4.

(x - 3)^2 + (y + 2)^2

16

Best of luck :3

What are 2 things you notice about the non-linear equation?

Answers

Answer:

An equation in which the maximum degree of a term is 2 or more than two is called nonlinear equations. For example 3x2 + 2x + 1 = 0, 3x + 4y = 5, this are the example of nonlinear equations, because equation 1 have highest degree of 2 and second equation have variable x and y.

Write an equation in point slope form of equation of line
point (7,10) and has a slope of -2?

Answers

Answer:

[tex]y-10=-2(x-7)[/tex]

Step-by-step explanation:

Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is the given point

Plug in the slope

[tex]y-y_1=-2(x-x_1)[/tex]

Plug in the given point (7,10)

[tex]y-10=-2(x-7)[/tex]

I hope this helps!

Uniforms are sold into packages of 8. The store's 127 employees will be given 3 uniforms. How many packages will the store need order?

Answers

Answer:

48 packages

Step-by-step explanation:

Hello There!

The first step is to find out how many uniforms they need to do so we multiply 127 and 3

3x127=381

Then we divide it by 8 ( because that's how many uniforms are sold in one package.)

381/8=47.625

you cannot have a 6th of a package so we just round to the nearest whole

so we can conclude that they will need 48 packages

~TheMathWiz

Which graph represents-5x+4y≥-1?

Answers

Answer:

D!

Step-by-step explanation:

Desmos has a free graphing calculator for future references :)

Can someone answer this please!!! I only have 5 mins and u will get Brainly too :)

Answers

Answer:

72

Step-by-step explanation:

(a+b)h / 2

(9+15)6 / 2

24 x 6 / 2

72

I hope im right!!

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