Use the diagram to derive the law of cosines. Fill
in the missing statements in the derivation

Use The Diagram To Derive The Law Of Cosines. Fillin The Missing Statements In The Derivation

Answers

Answer 1

Answer:

2: a2-x2

4: b2-2bx+x2

6: -2bx

Step-by-step explanation:

Answer 2

The following procedure will be

1.  a²=h²+x²

2.  h²= a²-x²

3.  c² = h² + (x-b)²

4.  c² = h² + x² + b² -2xb

5.  c² = a²-x² + x² + b² -2xb

6.  c² = a² +b² -2xb

7.  x = a CosC

8.  c² = a² +b² -2ab CosC

Triangle

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Right angle triangle

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

The following procedure will be

1.  a²=h²+x²

2.  h²= a²-x²

3.  c² = h² + (x-b)²

4.  c² = h² + x² + b² -2xb

5.  c² = a²-x² + x² + b² -2xb

6.  c² = a² +b² -2xb

7.  x = a CosC

8.  c² = a² +b² -2ab CosC

More about the triangle link is given below.

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Related Questions

Graph the following inequality and then select the correct graph below.
x+y<1

Answers

Answer:

The inequality x+y<1 should look like the graph attached.

It should be a dashed line, not a solid line.

Answer:

The second one you click to switch it

Step-by-step explanation:

Just did the quiz just going by every question and giving answers

Kathy owned several real estate properties. She had to pay federal taxes on her income and property taxes on the properties. What would be another major cost of her investment?

A.
bank fees
B.
investment broker fees
C.
renovation and maintenance costs
D.
utilities

Answers

Answer:

The correct answer is C. Renovation and Maintencance costs

Step-by-step explanation:

#Plato :)

The major cost of her investment would be C. Renovation and Maintencance costs.

What is income tax?

Income tax is a tax applied on individuals or entities concerning income or profit earned by them.

The amount of additional tax paid for each new dollar of income received is known as; the marginal tax rate.

The Total taxes paid is divided by total income earned is the average tax rate. With a marginal tax rate of 10 percent, then the tax would be deducted from the following dollar of income at a rate of 10%.

Given that Kathy owned several real estate properties. She had to pay federal taxes on her income and property taxes on the properties.

The major cost of her investment would be C. Renovation and Maintencance costs.

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maurice read 10 pages that is 50 percent of the paper lenght what i the paper lenght​

Answers

Answer:

Would it not be 20?

Step-by-step explanation:

Answer:

The answer is 20

Step-by-step explanation:

If 10 pages is 50% of the paper length, to make it equal 100% you just multiply 10X2 or add 10+10 and that equals 20.

Write the given percent of increase or decrease as a growth factor.



7% Increase


a.1.7

c. 7.1

c.1.007

d.1.07

Answers

Answer: D

Step-by-step explanation:

You roll a number cube twice. What is the probability of rolling a 2 first and then rolling an odd number?
12
Gel.

Answers

Answer:

50/50

Step-by-step explanation:

Monty bought a small swimming pool, as shown below, for his Labrador
puppy. He fills the pool halfway to the top. If one cubic foot of water is
approximately 7.5 gallons of water, about how many gallons of water will
be in the pool?
6 ft
2 ft

Answers

Answer:

It would be 45 gallons for 6ft

15 gallons for 2 feet

Step-by-step explanation:

Does changing the compound inequality x>-3 and x<3 from and to or change the solution set? Explain

Answers

Answer:

So the answer is

Step-by-step explanation:

x)2943

Answer:The x values of the “and” inequality satisfy both inequalities.

The x values of the “or” inequality satisfy one or both inequalities.

Changing the compound inequality from “and” to “or” changes the solution set from the values between –3 and 3 for all real numbers.

Step-by-step explanation:

that's all u need

Refer to the diagram shown.
35°
25
t
DE
M
4
N
R
6
Q
What is m 2 MNT?
m2 MNT =

Answers

Answer:

what subject?

Step-by-step explanation:

The measure of <MNT = 142.17

What is Trigonometry?

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

PR= 6+ 4= 10 unit

So, using trigonometry

tan 25 = PT/ PR

0.466 = PT / 10

PT= 4.66 unit

Now, In ΔNPT

tan <TNP = P/ B

tan <TNP =  4.66/6

tan <TNP = 0.7766

<TNP = 37.83

Now, <MNT + <TNP = 180 {Linear pair}

<MNT = 142.17

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The school says that no less than a third of the juniors went to prom. If 37 juniors went, what the minimum amount of juniors at the school?

Answers

Answer: 37 times 3 is 111. So there are 111 junior at that school.

1/3 times the # = the answer.

Question 3
<
B0/2 pts
A friend has a 81% average before the final exam for a course. That score includes everything but
the final, which counts for 20% of the course grade.
What is the best course grade your friend can earn?
What is the minimum score would your friend would need on the final to earn a 75% for the course?
Give answers accurate to at least one decimal place.
Question Help: Video Message instructor
Submit Question
o
earch

Answers

Answer:

The best course grade your friend can earn is 0.848 = 84.8%.

The minimum score would your friend would need on the final to earn a 75% for the course is of 0.51 = 51%.

Step-by-step explanation:

This is a weighed average problem, in which we multiply each grade by its weight.

We have that:

In 80% of the course, the friend has a grade of 81%.

In the other 20%, he will have x.

What is the best course grade your friend can earn?

This will happen if he earns 100% = 1 on the final test. So

[tex]G = 0.8*0.81 + 0.2*1 = 0.848[/tex]

The best course grade your friend can earn is 0.848 = 84.8%.

What is the minimum score would your friend would need on the final to earn a 75% for the course?

This is x, when the grade is 0.75. So

[tex]0.75 = 0.8*0.81 + 0.2x[/tex]

[tex]0.2x = 0.75 - 0.8*0.81[/tex]

[tex]x = \frac{0.75 - 0.8*0.81}{0.2}[/tex]

[tex]x = 0.51[/tex]

The minimum score would your friend would need on the final to earn a 75% for the course is of 0.51 = 51%.

(2x-4)+(5x-13)+(x+4)

Answers

Answer:

the answer is going to be 8x-13

Answer:

8x-13

Step-by-step explanation:

Combine all like terms

2x+5x+x=8x

-4-13+4=-13

8x-13

An understanding of statistics is necessary in any job. The use of statistics can help provide answers to many questions. Write a question you think that statistics may help you answer and explain why statistics can help provide an accurate answer.

Answers

Answer:

Statistics can help solving data quantitative analysis data.

Step-by-step explanation:

Statistics can help solving data quantitative analysis data.

Examples of questions, that statistics can help provide answers to

What is the measure of central tendency, that is representative of entire statistical data.

    Ans : It can be found out by calculating mean , median , mode

How widely dispersed or spread off is the data

   Ans : It can be found out by calculating standard deviation, variance

An example of a question statistics can help you answer is: What is are the socio-economic characteristics of people living in Texas?

Using frequency count and percentage, we can determine the gender, age distribution, occupation and other demographics of the population of people living in Texas.

What is Statistics?Statistics involves the collection, collation, analysis, and interpretation of data to form valid conclusions about problems and give answers to questions raised.We have descriptive and inferential statistics as the two types of statistics.For descriptive statistics, frequency count and percentage can be used to describe the socio-economic characteristics of a population.

Therefore:

An example of a question statistics can help you answer is: What is are the socio-economic characteristics of people living in Texas?Using frequency count and percentage, we can determine the gender, age distribution, occupation and other demographics of the population of people living in Texas.

Learn more about statistics on:

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Brainly please help I been asking

Answers

Answer:

114

Step-by-step explanation:

break apart the shape into 2 smaller shapes and you'll get 15 and 4 for the 1st shape multiply them and you'll get 60. Then for the second shape you'll get 6 and 9 multiply them and you'll get 54. Last add them together and you get 114. (Sorry if I get it wrong)

Kelsey can buy 3 sweatshirts for a total of $30. How much would it cost if she were to buy 4 sweatshirts at the same price?

Answers

Answer:

$40

Step-by-step explanation:

30 divided by 3 is 10 so 4 multiplied by 10 is $40

the equation of a circle whose center is (-5, 3) and whose radius is 6?

Answers

Answer:

Center:(-5,3)

The center of a circle is a point from which all points on a circle are the same distance.

Radius:6

The radius of a circle is the length of a line segment from its center to its perimeter.

The radius is typically denoted as "r" or "R".

Diameter:12

The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.

Circumference or (or Permieter) = 2*π*R = 2*3.14*6 = 37.6991118430775

The circumference of a circle is the distance around it.

Area:113.097335529233

Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = π*R2.

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!

Answers

1/8 y -1 +1 < -5+1
1/8 y < -4
8*(1/8y)< (-4)*8
Y < -32

Find the slope and y-intercpet. (Hint: Rewrite the equation in slope-intercept form first.)
16x - 4y - 12
m
b
Blank 1
Blank 2:

Answers

Answer

y=4x-3

m=4 or 4/1

b=-3

PLEASE ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ILL MARK BRAINLEIST
Stephanie checked the temperature in her house when she woke up. After 3 3/4 hours, the temperature had increased by 10 1/2 degrees. Assuming that the temperature rose at a constant rate, by how many degrees did the temperature in Stephanie’s house increase each hour?

Answers

2.8 degrees per hour

Rewrite the following without an exponent. 6^-2
Please answer ASAP!

Answers

Answer:

Rewriting [tex]6^{-2}[/tex] without an exponent we get [tex]\mathbf{\frac{1}{36}}[/tex]

Step-by-step explanation:

We need to rewrite the following without an exponent. [tex]6^{-2}[/tex]

We need to solve the exponent to find the result.

We know the exponent rule: [tex]a^{-b}=\frac{1}{a^b}[/tex]

Now using this rule to solve the equation:

[tex]6^{-2}\\=\frac{1}{6^2}\\We \:know \:that\:6^2 = 6\times 6=36\\=\frac{1}{36}[/tex]

So, Rewriting [tex]6^{-2}[/tex] without an exponent we get [tex]\mathbf{\frac{1}{36}}[/tex]

Solve number 8 (geometry)

Answers

Answer:

x = 50

Step-by-step explanation:

the word bisects means that it cuts in half (this is how I understand it, not the official definition :D)

so that means

[tex]\angle XAB =\angle BAY\\\\2x=100\\\\x=50[/tex]

2. A coin is tossed, then a
letter from the word
INDIANAPOLIS is selected at
random. Find each
probability.

Answers

I : 3/12 or 1/4
N : 2/12 or 2/6
D : 1/12
A: 2/12 or 2/6
P: 1/12
O: 1/12
L: 1/12

The probability are for P(h) = 1/2, P(t) = 1/2, P(getting letter P) = 1/12, P(getting a vowel) = 1/2, P(tails then a vowel) = 1/4, P(tails then N) = 1/12, P(heads then D or I) = 1/6.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

We have a coin tossed, then a letter from the word INDIANAPOLIS is selected at random.

Probability for getting head or tell:

P(h) = 1/2

P(t) = 1/2

The word INDIANAPOLIS has 12 letters with 3I's, 2A's, 2N's, 1D's, 1P's, 1L's, 1O's, and 1S's

Probability for getting letter P:

P(getting letter P) = 1/12

P(heads, then letter P) = P(heads)×P(getting P) = (1/2)(1/12) = 1/24

P(tails) = 1/2

P(getting a vowel) = 6/12 = 1/2

P(tails then a vowel) = (1/2)(1/2) = 1/4

P(tails then N) = (1/2)(2/12) = 1/12

P(heads then D or I) = (1/2)(4/12) = 4/24 = 1/6

Thus, the probability are for P(h) = 1/2, P(t) = 1/2, P(getting letter P) = 1/12, P(getting a vowel) = 1/2, P(tails then a vowel) = 1/4, P(tails then N) = 1/12, P(heads then D or I) = 1/6.

Learn more about the probability here:

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The following inequality has a solution in the form X > A. Solve the inequality and place the correct value of A into the box.

-17x - 10 > 7 - 20x

Answer: x > ______
Enter your answer as an integer or a reduced fraction in the form A/B.

Answers

It is the answer 20 x of that

It's for middle School PLZZZZ HELPPPP.
Lauren and her brother are buying their mom a watch for her birthday. The original price of the watch is $50, but the store is having a 25% off sale on watches. The sales tax in Lauren’s state is 6%.

How much will Lauren and her brother pay for the watch including tax? How much will each sibling pay if they split the cost equally?

Answers

Answer:

$20

Step-by-step explanation:

To find out sale

50 x .25 = 12.5

To find out tax

37.5 x .06 = 2.25

Then final price

37.5 + 2.25 = 39.75

If they spilt price

$19.88

Answer:

1. $37.5 without tax

2. Split bill with tax: $19.88

3. Split bill withput tax: $18.25

Step-by-step explanation:

Make an equation first.

y=.25 (50)

This would help solve the amount for the discpunt sale.

The discout is $12.5 off.

50-12.5=37.5

Now we have tp solve for the tax amount.

y=0.06 (37.5)

y=2.25

2.25 is the tax amount.

We have to add these all together to get the answer for part 1.

37.5+2.25= $39.75

Can someone help me with this please

Answers

Answer:

the picture is upside down

Step-by-step explanation:

I can’t see right please do it again

Find the missing angle.

Answers

add all the angles and subtract that number from 360. missing angle: 87

Answer:

75

Step-by-step explanation:

All the angles would add up to 360

145+55+35+55=285

Then:

360-285=75

>ZUW=75

(help me it is not much)
Which form of a linear equation should we use when given the y-intercept and the slope of
the line?
Point-Slope form
Slope-intercept form
Standard form?

Answers

Answer:

Slope Intercept Form

Step-by-step explanation:

its the basics

solve [(x+7) x 3-5] / 4 = 7
What is the first step in this equation

Answers

Answer:

The first step is to slove the numbers in the brackets

Step-by-step explanation:

[(x+7) x -2] / 4 = 7

-2(x+7) / 4 = 7

-2x-14 / 4 = 7

-2x-14 = 28

-2x = 42

x = -21

PEMDAS

Jack is shopping. Last week he bought $10 of groceries and ended up paying $10.07 after taxes. This week he's buying $15 of groceries. If the tax rate remains the same, how much will he end up paying after taxes?

Answers

Answer:

16.05

Step-by-step explanation:

first I realized 7 cents is .07% of 10 the I multiplied .07 times 15 then I added them up and got the answer

16.05 is the correct answer to this

which is an equation for the line shown?
y=3
x=3
y=-3
x=-3

Answers

Answer:

x+-3

Step-by-step explanation:

QUESTIONS: SOLVE FOR X

please help if you can !
please don't comment just to comment if its not gonna help me i really need help. ​

Answers

The answer is 10 I believe! A whole triangle is equal to 180 degrees so 180-70-60-60= -10. So we have to add 10 to equal it to zero. Hope this helped
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