In triangle ABC, what is the m

In Triangle ABC, What Is The M

Answers

Answer 1

Answer: 38°

Using cosine rule,

a² = b² + c² -2bc cos(A)

Insert values from diagram

14² = 18² + 22.8² - 2(18)(22.8) cos(A)

196 = 324 + 519.84 - 820.8 cos(A)

-820.8 cos(A) = 196 - 324 - 519.84

-820.8 cos(A) = -647.84

cos(A) = -647.84/-820.8

A = cos^{-1} (-647.84/-820.8)

A = 37.88°

A ≈ 38°

Answer 2

Answer:

[tex]\boxed {38^{o}}[/tex]

Step-by-step explanation:

Applying Law of Cosines :

⇒ a² = b² + c² - 2bc(cos A)

⇒ 14² = 22.8² + 18² - 2(22.8)(18)(cos A)

⇒ 820.8(cos A) = 519.84 + 324 - 196

⇒ 820.8(cos A) = 647.84

⇒ cos A = 647.84/820.8

⇒ cos A = 0.789278752

⇒ m ∠A = cos⁻¹ (0.789278752)

⇒ m ∠A = 37.88 ≈ 38°


Related Questions

In a rectangle the length of diagonal AC is given by (20x+12)&BDis (14x+24)cm find AC&BD​

Answers

Answer:

52cm, based on my understanding of the question.

Step-by-step explanation:

See attached image.  Please confirm my understanding of the question.

The standard form of an absolute value function is f(x)-a|x-h|+k. Which of the following represents the vertex?
(-k.h)
(-h.k)
(k,b)
(h,k)

Answers

Answer:

(h, k )

Step-by-step explanation:

given the standard form of an absolute function

f(x) = a| x - h | + k , then

vertex = (h, k )

The standard form of an absolute value function is f(x) = a|x - h| + k, where (h,k) is the vertex of the absolute value function.

The correct option is (h,k).

What is a function?

The term "function" refers to a relationship between a set of inputs and outputs. Just one output is connected to each input in a function, which connects inputs in that manner. Every function has a domain, co-domain, and range.

In general, the standard form of an absolute value function is given as:

f(x) = a |x - h| + k

where:

a is a non-negative constant that determines the shape and direction of the V-shaped graph of the absolute value function

h is the horizontal shift of the graph of the function from the origin (if h > 0, the graph shifts to the right; if h < 0, the graph shifts to the left)

k is the vertical shift of the graph of the function from the origin (if k > 0, the graph shifts up; if k < 0, the graph shifts down)

The vertex of the absolute value function is the point where the graph changes direction, that is, the point where the graph changes from sloping downwards to sloping upwards or vice versa.

Since the vertex is the point of the absolute value function where the graph changes direction, it lies at the center of the V-shaped graph. Thus, the vertex is located at the point (h,k).

Therefore, in the standard form f(x) = a |x - h| + k, (h,k) represents the coordinates of the vertex of the absolute value function.

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For some given data, if Z-M = 2 and
x= 33.5, then Z =
(a) 35.5 (b) 36.5 (c) 32.5
(d) 34.5

Answers

Answer:

Not enough information.  See below.

Step-by-step explanation:

Z-M = 2

x= 33.5, then Z = ?

How does x relate to Z or M?  Is the Z-M= 2 equation correct?  Or is it M=33.5?

please place the dot for me(20 points will give brainliest!!!)

Answers

Answer:

2,

Step-by-step explanation:

The vertex is the very highest or very lowest point. X coordinates are listed first, then Y.

3. Solve the following system of equations. 2v 3w = 16 2u + w = 4 v/6 - u/6 = 1​

Answers

Answer:

this is what i got

The lengths of three sides of a trapezoid are shown below:

Side 1: 11z2 − 4z + 2

Side 2: −2z + 3 + 12z2

Side 3: 3 − 3z + 13z2

The perimeter of the trapezoid is 5z3 + 40z2 + 7z − 15.

Part A: What is the total length of sides 1, 2, and 3, of the trapezoid? (4 points)

Part B: What is the length of the fourth side of the trapezoid? (3 points)

Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer. (3 points)

Answers

Answer:

Part A = 36z² - 9z + 8

Part B = 5z³ + 4z² + 16z - 23

Part c = Yes.

Step-by-step explanation:

Polynomials : Polynomials are algebraic expressions that consist of variables and coefficients.

Trapezium: A trapezium is a convex quadrilateral with exactly one pair of opposite sides parallel to each other.

Given the length of sides :

Side 1: 11z² - 4z + 2

Side 2: -2z + 3 + 12z²

Side 3: 3 - 3z + 13z²

and The perimeter of the trapezoid is 5z³ + 40z² + 7z - 15.

PART A:

The total length of sides 1, 2, and 3 of the trapezoid is obtained by the sum of the trapezoid :

11z² - 4z + 2 + (-2z + 3 + 12z²) + 3 - 3z + 13z²

11z² - 4z + 2 - 2z + 3 + 12z² + 3 - 3z + 13z²

36z² - 9z + 8

PART B:

The length of the fourth side of the trapezoid is given by the difference between the perimeter of the trapezoid and the sum of  length of sides 1, 2, and 3.

5z³ + 40z² + 7z - 15 - 36z² + 9z - 8

5z³ + 4z² + 16z - 23

PART C:

From part A, we can see that the addition of polynomials results in a polynomial.

Likewise, the subtraction of polynomials results in a polynomial.

Therefore, we can say that the polynomials are closed under addition and subtraction.

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*GEOMETRY

help me with questions 9, 10, and 11 please!

Answers

9) Diagonals of a parallelogram bisect each other, so KN=NM. Thus, KM=13.5+13.5=27 cm

10) Opposite sides of a parallelogram are congruent, so LM=KJ=17 cm

11) Based on Question 9, MN=13.5 cm

Function g is a transformation of function f.

Graph shows 2 exponential functions. First curve f enters quadrant 3 at (minus 6, minus 2) rises through (0, minus 1) and (1, 0) and (2, 2) in quadrant 1. Second curve g enters quadrant 2 at (minus 6, 6) falls through (0, 3) and (1, 0) in quadrant 1.

What is the equation of function g?

g(x) = f(x)

Answers

The equation of function g(x) in terms of f(x) is g(x) = -3[f(x)].

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given:

genera form of an exponential function is  y=aeᵇˣ

Now, equation for f(x) is

f(x) = [tex]e^{(log \;2)x} -2[/tex]

Similarly, graph for g(x) is

g(x) = [tex]-3e^{(log \;2)x} +6[/tex]

Comparing the two function a relation can  be establish

g(x) = -3[f(x)]

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Answer:

shifted to the left two units
g(x)=-f(x+2)

Step-by-step explanation:

Solve for X
130, 40, ?

Answers

Answer:

x = 90

Step-by-step explanation:

The other unlabled angle in the triangle forms a 180 degree angle with 130 degrees (because they make a straight line). So it can be found by subtracting 130 from 180, which equals 50.

The sum of all the angles in a triangle is 180.

180 - 50 - 40 = x

90 = x

Introduction

Hello! My name is Galaxy and I'll be helping you solve this problem. We can split this problem into two steps. Them being Theory and Solving.

I'll go ahead and start with the Theory.

Theory

We can start off by looking at the image you've provided, we can see a triangle that has 2 angles given of a triangle, and an exterior angle of the triangle.

This being said, we can apply the Exterior Angle Theorem.

We can now begin to solve for the missing angle.

Solving

We can begin to solve by using our given angles to find the third angle.

According to the Exterior Angle Theorem, we know that the unknown angle along with the [tex]40[/tex]° angle must add up to the [tex]130[/tex]° angle.

Therefore, we can solve for [tex]x[/tex],

[tex]x+40=130\\x=130-40\\x=90[/tex]

After this, we know that angle [tex]x[/tex] is equal to 90°.

Cheers,

Galaxy

Find the value of x

Answers

Answer:

11

Step-by-step explanation:

Could these triangles be congruent? yes, if ab ≅ de yes, if bc = 7 yes, if ab ≅ ef no, because the hypotenuses must have different lengths

Answers

Yes, the triangles are congruent if AB ≅ DE.

Criteria for the Congruency of two Triangles

If two triangles share the same sides and angles, they are said to be congruent triangles.

Triangles are tested for congruence using the following 4 criteria:

1) Angle-side-angle(ASA): Two angles and a side of a triangle are congruent if they are equal to two angles and the corresponding side of another triangle.

2) Side-side-side(SSS): Two triangles make congruent triangles if all three sides of one triangle are equal to three sides of another.

3) Side angle side(SAS): A triangle is congruent if its two sides and any included angles are equivalent to those of another triangle's two sides and corresponding angle.

4) Hypotenuse - leg(HL): If a triangle's hypotenuse and one of its legs are equal, then the triangle's hypotenuse and leg are also equal.

Checking for Congruency in the Given Triangles

ΔDEF and ABC have a equal angles, ∠F=∠B, as well as a pair of equal sides,  DF = AC.

Thus, in order to satisfy the SAS criterion of congruent triangles, AB = DE

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Answer:

(D) no, because the hypotenuses must have different lengths

Step-by-step explanation:

i need help with this question (answer choices 15, 5, and 12)

Answers

Answer:

x = 15

Step-by-step explanation:

the opposite angles of a cyclic quadrilateral sum to 180° , then

6x + 20 + 3x + 25 = 180 , that is

9x + 45 = 180 ( subtract 45 from both sides )

9x = 135 ( divide both sides by 9 )

x = 15

what is the y-intercept of f(x)=(1÷4)

Answers

Y-intercept means x=0 but judging from the question you only gave f(x) which means Y

And so I think the only valid answer there is

Y= 0.25
X=0

PLEASE HELP ASAP!!!!!!
Right △EFG has its right angle at F, EG=8, and FG=2.

What is the value of the trigonometric ratio of an angle of the triangle?

Drag a value to each box to match the trigonometric ratio with its value.
TanE=
SinG=
SecG=

(4,1/4, 4√15/15, √15/15, √15/4)

(PLEASE ANSWER ASAP, ALSO IF YOU KNOW ANY OF THE OTHER ANSWERS TO THE PRE-CALUCLUS-TRIGONOMETRY SEMESTER TEST 6.04 PLEASE HELP!)

Answers

The values of the trigonometric ratio is 1/4 , √15 / 4 , 4 .

What are Trigonometric Ratios ?

When a Triangle is a right angled Triangle then the ratios used to determine the sides and the angles of the triangle are called Trigonometric Ratio.

It is given that in triangle EFG , right angled at F ,

EG = 8 , FG = 2

By Pythagoras theorem

The length of EF is

8² = 2² + EF²

EF = √(64-4) = √60 = 2√15

The value of the trigonometric ratios is

sin E = Perpendicular / Hypotenuse

sin E = 2 / 8 = 1/4

sin G =  2√15 / 8 = √15 / 4

sec G = 1 / cos G = Hypotenuse / Base = 8 / 2 = 4

Therefore the values of the trigonometric ratio is 1/4 , √15 / 4 , 4 .

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About how many people moved away from the great plains states during the depression? 100,000 250,000 2.5 million 10 million

Answers

Answer:

the answer is 2.5 million

Step-by-step explanation:

About 2.5 million people moved away from the Great Plains states during the Great Depression.

What is the great depression?

The 1930s saw a catastrophic economic collapse known as the Great Depression. It was the twentieth century's longest, most widespread, and deepest depression, affecting countries all over the world. The Great Depression began on October 29, 1929, with a stock market catastrophe in the United States known as "Black Tuesday."

This movement was called the Dust Bowl migration and was caused by a combination of factors including drought, soil erosion, and economic hardship.

Many people left the region in search of better opportunities and living conditions.

Therefore, 250,0000 people moved.

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What is the value of x when Rq=3x+2 ,QN =2x and SM=3x?

Answers

The value of x is 2 because the centroid of the triangle divides each median in the ratio of 2:1 option (C) is correct.

What is the triangle?

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

RQ = 3x+2 ,QN = 2x and SM=3x

In the figure, the TM, Rn, and SL are medians of the triangle SRT and Q is the centroid.

The centroid of the triangle divides each median in the ratio 2:1

RQ/QN = 2/1

(3x+2)/2x = 2/1

After solving:

3x + 2 = 4x

x = 2

Thus, the value of x is 2 because the centroid of the triangle divides each median in the ratio of 2:1 option (C) is correct.

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Carlton received 45 votes in the school council election, and Will received 60 votes. What percent of the votes did Carlton receive?

Answers

Answer:

42.9%

Step-by-step explanation:

The total number of votes between Carlton and Will is [tex]60 + 45 = 105[/tex].

If we put Carlton's votes in a fraction over the total number of votes, we get [tex]\frac{45}{105}[/tex].

So, if we now multiply this fraction by 100, we will get the percentage amount:

[tex]\frac{45}{105} * 100 = 42.9[/tex]

This means that to 1 decimal place, the percentage of votes that Carlton received is 42.9%.

Answer:

Carton receive:

42.86%    (aprox)

Step-by-step explanation:

45 + 60 = 105

total votes = 105

Carlton received 45 votes

then:

45/105 = 0.4286       (aprox)

0.4286*100 = 42.86%

When Manny goes on vacation, he boards his dog at a kennel. The kennel charges a flat fee
of $25, plus $15.50 per night.
Write an equation that shows how the cost of a kennel stay, y, depends on the number of
nights, x.

Answers

Step-by-step explanation:

y = 25 + 15.5x

it's $25 plus the number of nights times $15.5 per night

The maximum number of turning points of a 9th degree polynomial is?

Answers

Answer:

8

Step-by-step explanation:

this was actually in my book and it came in today's test as well but I got 14/20 and failed lol

The first term of an arithmetic progres- sion is 3 and the last term is 9. Find the number of terms in the progression if the common difference is 3/2​

Answers

Answer:

5 terms

Step-by-step explanation:

The numbers will be 3, 4 1/2, 6, 7 1/2, and 9.

please answer the question no 3
as fast as possible ​

Answers

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The value of the given series is 240.

What is arithmetic sequence?

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

The explicit formula for any arithmetic series is given by the formula,

aₙ = a₁ + (n-1)d

where d is the difference and a₁ is the first term of the sequence.

The value of [tex]\log_{a^{\frac12}}(a)[/tex] will be equal to 2. Therefore, the series will become,

series = 2 + 4 + 6 + 8 + 10 + 12 + .... + 30

Now, as it can be observed that the given series is an arithmetic series, therefore, the number of terms in the series are,

30 = 2 + (n-1)1

28 = (n - 1)2

n - 1 = 14

n = 15

Further, the sum of the of the series will be,

sum = (15/2)[2(2) + (15-1)2]

sum = (15/2) [4 + 28]

sum = 240

Hence, the value of the given series is 240.

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What is the slope of the line that contains the points (-2, 7) and (2, 3)?​

Answers

Answer is -1 slope
Reason
Slope is found by using
Y2-Y1 over X2-X1
So
3-7 over 2-(-2)
-4 over 4
-4/4 or -1 slope

Answer:

The slope of the line is -1.

Step-by-step explanation:

SLOPE OF A LINE FORMULA

SLOPE = Y2 - Y1/ x2 - x1

m = Y2 - Y1/ x2 - x1

m = 3 - 7 / 2- (-2)

m = -4/4

m = -1

The slope of the line is -1.


The parent function f(x)=√x is transformed to g(x) = f(-x) - 2. Which graph represents g(x)?

Answers

Using translation concepts, the graph of g(x) is given at the end of the question.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is given by:

[tex]f(x) = \sqrt{x}[/tex].

With the changes, we have that:

f(-x) is the function reflected over the y-axis.f(-x) - 2 is the function reflected over the y-axis and shifted 2 units down.

Hence the function will be given by:

[tex]f(x) = \sqrt{-x} - 2[/tex].

The graph is given at the end of the answer.

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Answer:

Step-by-step explanation:

1 − 2 + 3 −... + 99
Please solve!

Answers

Answer:

50

Step-by-step explanation:

So you can think of this by grouping it like this:

(1-2) + (3-4) + (5-6) + ... + (97-98) + 99

which is equal to: (-1) + (-1) + (-1)... + (-1) + 99

(each group is equal to -1, and 99 won't have a pair since it's the last one)

then, find how many groups of -1 there are:

the groups start at 1 and end at 98, but there are two in each group, so 98/2 = 49. this means there are 49 groups.

so now, you know that there are 49 -1s, so 49 * (-1) = -49.

finally, you can't forget the extra 99 that didn't have a pair, so -49 + 99 = 50.

Can someone help with this q u e s t i o n p l e a s e

Answers

What can I do for you

PLEASE ANSWER ASAP!!!!!!!
What is the exact value of cos(tan−1(−1))/sin(cos−1(−3√2))?

Enter your answer, as a simplified fraction, in the box.
cos(tan−1(−1))/sin(cos−1(−3√2))=

Answers

The exact value of [tex]\dfrac{cos(tan^{-1}(-1))}{sin(cos^{-1}(-\frac{3}{\sqrt{2}})}[/tex] would be root 2.

What is a function?

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

[tex]\dfrac{cos(tan^{-1}(-1))}{sin(cos^{-1}(-\frac{3}{\sqrt{2}})}[/tex]

We know that

The inverse tan(-1) = -π/4

cos(-π/4) = 1/√2

The inverse cos(√3/2) = π//6

sin(π/6) = 1/2

Then substitute

[tex]\dfrac{cos(tan^{-1}(-1))}{sin(cos^{-1}(-\frac{3}{\sqrt{2}})}\\\\[/tex]

[tex]\dfrac{(1/\sqrt{2}) }{(1/2)} \\\\= \sqrt{2}[/tex]

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Two opposite angles of a parallelogram are (5x – 8)° and (2x + 82)°. Find the measures of each angle of the parallelogram.

Answers

Answer:

2 angles are 142 degrees

2 angles are 38 degrees

Step-by-step explanation:

In any parallelogram, the opposite angles are congruent.

So,

5x - 8 = 2x + 82

3x - 8 = 82

3x = 90

x = 30

Now lets plug in x into one of the angles:

5 ( 30 ) - 8

150-8

142

So, because that angle is 142, the other angle must also be 142. However, to make sure, we should still check.

2 ( 30 ) + 82

60 +82

142

As we can see, both angles are 142.

Now we have figured out 2 angles, and they are both 142. Now lets figure out the other 2 angles.

Any 4 sided shape has 360 degrees

142 + 142 = 284 degrees

Our 2 angles have 284  degrees in total.

if we subtract 284 from 360, we get 76.

Our remaining 2 angles have a total of 76 degrees. Because these angles are also opposite, we must divide by 2. 76/2 is 38.

So,

2 angles are 142 degrees

2 angles are 38 degrees

what is the midpoint between 1 + 9i and 5 - 3i?

Answers

Answer:

The midpoint between 1 + 9i and 5 - 3i is 3 + 3i

Given

Points 1 + 9i and 5 - 3i

To find Midpoint between given points

Solution

Midpoint is the average of the two points. Find it as follows:

(1 + 9i + 5 - 3i)/2 = (6 + 6i)/2 = 3 + 3i

Jamar is attempting to factor the expression 15x^2-16x-15. In his first step, he rewrites the expression as 15x^2-25x+9x-15. Which of the following statements in true about Jamar’s work?

A. Jamar's first step is correct. He should continue to factor the expression.
B. The two middle coefficients add to the correct number, but do not multiply to the correct number.
C. The two middle coefficients multiply to the correct number, but do not add to the correct number.
D. The two middle coefficients do not add or multiply to the correct number.

Answers

Jamar's first step is correct. He should continue to factor the expression. Then the correct option is A.

What is a factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

Jamar is attempting to factor the expression 15x² – 16x – 15.

In his first step, he rewrites the expression as 15x² – 25x + 9x – 15.

Jamar's first step is correct. He should continue to factor the expression.

Then the correct option is A.

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what is 25:28 in slimpelst from

Answers

Answer:

25:28 is the simplest form

Step-by-step explanation:

This is a ratio, think of it like a fraction. You can simplfy it by dividing by common factor.

25 and 28 have no common factors except for 1.

25: 1,5,25

28: 1,2,4,7,14,28

It will stay as 25:28

Answer:

it stays the exact same or 0.893

Step-by-step explanation:

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The value net framework includes an analysis of a. the firm, substitutes, suppliers, customers, and competitors. b. the firm, suppliers, customers, competitors, and driving forces. c. substitutes, suppliers, customers, competitors, and driving forces. d. the firm, suppliers, customers, competitors, and complementors. e. substitutes, suppliers, customers, competitors, and potential entrants. What is the approximate value of x in the diagram below? (Hint: You will need to use one of the trigonometric ratios given in the table.) sin 40 cos 40 50 0.643 0.766 0.839 tan 40 90 Which describes the economic idea of you utility Please help me answer this question In order to avoid bruising & pain, what is the appropriate injection rate for low-molecular weight Heparin? The terms of a particular sequence are determined according to the following rule: If the value of a given term $t$ is an odd positive integer, then the value of the following term is $3t -9$; if the value of a given term $t$ is an even positive integer, then the value of the following term is $2t -7$. Suppose that the terms of the sequence alternate between two positive integers $(a, b, a, b, \dots )$. What is the sum of the two positive integers can someone please help mee(20 points and i will give brainliest!!!) A student conducted a research project in which fake smoke entered the waiting area used by participants. This procedure was used to create a stressful situation and the student then tested participants' performance on complex reasoning tasks. One student waiting in a wheelchair experienced a panic attack when the smoke appeared. After this incident, the IRB stopped the research. This example demonstrates that A geofence is a gadget that provides the exact location of a person who holds it setting that limits the time a child can use a mobile device tool that monitors a child's downloaded, updated, or deleted device apps virtual perimeter that sends notifications when a person goes outside of set regions please help with this answe i do not how to to do it it