Triangle L M N is shown. Angle M L N is a right angle. The length of M L is 5.74, the length of L N is 4, and the length of hypotenuse M N is 7. Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the measure of AngleN to the nearest whole degree? 35° 45° 55° 65°

Answers

Answer 1

Answer:

55⁰

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as isosceles triangle, equilateral triangle, scalene triangle, right angled triangle.

The law of cosines states that for a triangle with sides a, b and c and the corresponding angles opposite to the sides which are A, B and C. Then:

a² = b² + c² – 2bccos(A)

Let ML = a = 5.74, LN = b = 4, MN = c = 7.

∠N is opposite to side ML. Let ∠N  be A, hence:

a² = b² + c² – 2bccos(A)

2bc* cos(A) = b² + c² – a²

Substituting:

2(4)(7) * cos(A)= 4² + 7² - 5.74²

56cos(A) = 32.0524

cos(A) = 0.5723

A = cos⁻¹(0.5723)

A = 55⁰

A = ∠N = 55⁰

Answer 2

Answer:

C. 55°

Step-by-step explanation:

Right on 2021 Edg


Related Questions

½x + 1 ⅔ subtracted from 1 ½x - 1 ⅓
simplify IF NEEDED!!

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Answer:

x-3

Step-by-step explanation:

Please help me this is called Writing Equations

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14 CD's! 252 divided by 18 is 14

Devon has two wood boards that are the same length. He divides each board into
three equal pieces. He uses 5 of those pieces in a project. The fraction shows the
fraction of the wood boards Devon used. Which is another way to show this amount?

Answers

Answer:

by transfering the fraction to decimal

Jada had some dimes and quarters that had a total value of $12.50. The relationship between the number of dimes, d, and the number of quarters, q, can be expressed by the equation
01 d+0.25q=12.5.

If Jada has 4 quarters, how many dimes does she have?

If Jada has 10 quarters, how many dimes does she have?

Answers

Answer:

ther are 25 dimes in 10 quarters

Step-by-step explanation:

The length of a rectangle is 10 m more than its width if the perimeter of a rectangle is 80 m find the dimensions of the rectangle.(perimeter is just adding up all the sides)

Answers

Answer:

width= 15

length=25

Step-by-step explanation:

width= x

length= 10+x

2(10+x+x)= 80

2(10+2x)= 80

20+4x= 80

4x=60

x= 15

width= x= 15

length= 10 +x= 10+15= 25

the variable x varies jointly y and z and x=8 when y =-6 and z=-3. find k and write the joint variation equation

Answers

Answer:

It’s 14

Step-by-step explanation:

7 times 2 is 14

URGENT!!
1) If (-4 + 3i) is a zero of the function, list another known zero​

Answers

Step-by-step explanation:

The conjugate of the complex root must also be a zero of the function if the complex root is already a zero.

Conjugate of -4 + 3i is -4 - 3i.

Hence -4 - 3i is also a zero of the function.

Answer:

-4 - 3i

Step-by-step explanation:

If a zero of a function is a+bi, there is at least one other zero, a-bi, called the conjugate.

Using the graph, determine the equation of the axis of symmetry

Answers

Answer:

-5 or (-5,0)

Step-by-step explanation:

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.

The solution is : the equation of the axis of symmetry is  x= -5 or (-5,0).

What is parabola?

The parabola is a plane curve which is mirror symmetrical and is approximately U-shaped. It fits several superficial different mathematical descriptions.

here, we have,

we know that,

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves.

The axis of symmetry always passes through the vertex of the parabola .

The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.

Hence, The solution is : the equation of the axis of symmetry is  x= -5 or (-5,0).

learn more on parabola:

https://brainly.com/question/1615961

#SPJ2

Match each product of powers with its simplified expression.
57.52
54
5.52
1
56
56,5-
5?
54:54:59
520
5.5
50

Answers

Answer:

multiplication

Step-by-step explanation:

928

8292

92229

929292

28282

Derek bought a cloth for rs 950 .He spent rs 150 for stitching a shirt and sold it at a gain of rs 375 . Find the selling price of the shirt

Answers

Answer:

$1473

Step-by-step explanation:

cost of cloth= rs.950

He spent rs.150  for stitching a shirt

total cots= 950+150

total cost=1100

gain= rs.375

we know that

gain= selling price- cost price

substitute

375= selling price- 1100

selling price= 1100+373

selling price=$1473

Hence the selling price is $1473

hello i would like help and the answer to this please; what is the nth term rule of
-5 -4 -1 4 1 1 20 31

Answers

Answer:

The nth term of the given sequence

[tex]a_{n} = a_{n-1} + (2n-1)[/tex]

Step-by-step explanation:

Explanation:-

Given sequence  -5,-4,-1,4,11,20,31

a₀ = -5

a₁ = a₀ +1 = -5 +1   = -4

a₂ = a₁ + 3 = -4+3  = -1

a₃ = a₂ + 5 = -1 +5 = 4

a₄ = a₃ + 7 = 4 + 7  =11

a₅ = a₄ + 9 = 11+9 = 20

a₆ = a₅ + 11 =  20+11 = 31

a₇ = a₆ + 13 = 31 +13 =44

and so on

The nth term of the given sequence

[tex]a_{n} = a_{n-1} + (2n-1)[/tex]

Please help. Will give brainliest. I know the answer I just don’t get the solution so I want to see how other people do it. ur supposed to use the unitary method for this.

Answers

Answer:

its very hard to see, it looks good but I can't see much.

Answer:

[tex]percentage \: increase = (25 - 22.5) = 2.5\% \\ let \: origial \: price \: be \: x \\ 2.5\% \times x = 4.5 \\ x = \frac{4.5}{2.5\%} \\ x = \frac{4.5 \times 100}{2.5} \\ x = 180 \: cents \\ new \: price = x + 4.5 \\ = 180 + 4.5 \\ new \: price = 184.5 \: cents[/tex]

1) 4b - 2 = 6

2) 5x + 4 = 24

3) 7c - 11 = 17

4) 18 = 3k - 3

5) 9/4 - 1 = 3

6) 2/3v = 2 - 4/3

Answers

Answer:

b = 2x = 4c = 4k =7I'm sorry, I think you have accidentally left out the variable in the question. I can't solve it because there's no variable to solve.v = 1

There is no specific instruction in your question. I try to answer it based on what I understand from the equations. Hope this helps!

Step-by-step explanation:

Just rearrange the equation to solve the variable.

f(x) = (1)
What is the x intercept

Answers

Answer:

There is no x-intercept, only a y-intercept, which would be 1

Complete the following sentence. The slope of the graph of y = 5 x is ___

Answers

Answer:

We conclude that the slope of the graph of y = 5 x is 5.

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

where

m is the slope b is the y-intercept

Given the line

y = 5x

comparing with the slope-intercept form of the line equation

The slope of the line = m = 5

Therefore, we conclude that the slope of the graph of y = 5 x is 5.

The number of gallons used to wash dishes varies directly with the number of loads. If it takes 65 gallons to wash 5 loads. How many gallons would be needed to wash 3 loads?

Answers

Answer:

39 gallons

Step-by-step explanation:

65 gallons ÷ 5 loads = 13 gallons per load

13 gallons per load • 3 loads = 39 loads

Anyone know the answer I’m lost…

Answers

Answer:

#1: -1

#2: 1

Step-by-step explanation:

Anything raised to  the 0 power is 1, but in question 1 the negative is outside the parenthesis, so it makes it -1.

2. Which of the following compositions of transformations would NOT map quadrilateral ABCD onto A'B'C'D'?

Answers

Answer:I picked 4

Step-by-step explanation:

.

find the measure of

Answers

It’s C) 36

180-72=108
180-144=36
108+36=144
180-144=36

All straight lines are equal to 180 degrees
The sum of the interior angles in any triangle is 180.

Hope this helps! Brainliest? :)

Which of the following statement must be true?I WILL MARK THE BRAINIEST

Answers

Answer:

d) XY > RS

Step-by-step explanation:

When comparing triangles, the angle opposite to the side in question determines the length. In this case 99 is greater than 75. Since XY is the side opposite to 99, it is the larger side

Write each ratio as a fraction in lowest terms. 8 to 9​

Answers

Answer:

8/17 and 9/17

Step-by-step explanation:

8:9

both add up to 17

so it can be 8/17 or 9 but it cannot be simplified unless if you want them both as a mixed number which is

8/17 as a mixed number is 2 1/17

9/17 as a mixed number is 1 8/17

1. Li is making beaded necklaces. For each necklace, she uses 27 spacers, plus 5 beads per inch of necklace length.Write an equation to find how many beads Li needs for each necklace. Veel a. input variable: b. output variable: c. equation:​

Answers

Answer: Given that Li is making beaded necklaces for each necklace, she uses 27 spacers, plus 5 beads per inch of necklace length.

The equation to find how many beads Li needs for each necklace can be obtained as follows:

A. The input variable is the number of inches of the necklace length (x).

B. The output variable is the number of beads Li needs for each necklace (y).

C. The required equation is given by

y = 5x

Step-by-step explanation:

PLEASE HELP ILL GIVE BRAINLIEST The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?

Answers

Answer:

(-8,0) (-1,0) (4,0)

Step-by-step explanation:

Just look at where y=0

Answer:

-8, -1 and 4

Step-by-step explanation:

look at where the line meets the x-axis and at what point

PLS SOMEONE HELP ME!!! will reward to the first correct person brainiest

Answers

Negative numbers dont have real roots, so you cannot have a square root of -1

Example: -1 x -1 does not equal -1, so this means you cannot do the same the other way

Answer:

Real numbers can be positive or negetive and include the number zero. They are called real numbers because they are not imaginary, which is a different system of numbers. Imaginary numbers are numbers that cannot be quantified, like the square root of -1.

hope this helps!!:)

Step-by-step explanation:

what is the y intercept of a line that passes through (1,-7) and (5,-25). How do I find it.

Answers

Answer:

y- intercept = - 2.5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, - 7) and (x₂, y₂ ) = (5, - 25)

m = [tex]\frac{-25+7}{5-1}[/tex] = [tex]\frac{-18}{4}[/tex] = - 4.5 , then

y = - 4.5x + c

To find c substitute either of the 2 points into the equation

Using (1, - 7), then

- 7 = - 4.5 + c ⇒ c = - 7 + 4.5 = - 2.5

y- intercept c = - 2.5

Help me get the answer to this please

Answers

I believe the answer would be 19 because if you take 95 divided by 5 you get 19 and if you take 19 times 5 you get 95 so therefore I think the answer would be 19

Hope this helps.

Can some plsss actually help me I have been getting bad luck! I need to submit soon. Plssss

Answers

Answer:

SCB

Step-by-step explanation:

Shaquira is baking cookies to put in packages for a fundraiser. Shaquira has made 868686 chocolate chip cookies and 424242 sugar cookies.
Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.
What is the greatest number of identical packages that Shaquira can make?
packages

Answers

Answer:

Think the answer is 1292928

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

A builder is trying to level out some ground with a front-end loader. He picks up some excess dirt at (9, 16) and then maneuvers through the job site along the rule (x+2, y+3), (x-3, y+4), and then (x+2, y-5) to get to the spot to unload the dirt. Find the coordinates of the unloading point. Write a rule that describes the translation from the loading point to the unloading point.

Answers

As////

A

-, the UT it b F

If x+y = 5 and xy = 6 , find (x³+y³)​

Answers

Answer:

x²+y²=13

Step-by-step explanation:

x+y=5

now,

squaring both side

(x+y)²=5²

x²+2.x.y+y²=25

x²+y²+2×6=25 (putting value of xy=6)

x²+y²=25-12

x²+y²=13

hope it helps.

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