Use the triangle below to find cos V.

Use The Triangle Below To Find Cos V.

Answers

Answer 1

Answer:

[tex]cos\ V = \frac{2\sqrt{29}}{29}[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find cos V

In trigonometry:

[tex]cos\theta = \frac{Adjacent}{Hypotenuse}[/tex]

In this case:

[tex]cos V= \frac{TV}{UV}[/tex]

Where

[tex]TV = 6[/tex]

and

[tex]UV^2 = TV^2 + TU^2[/tex] -- Pythagoras

[tex]UV^2 = 6^2 + 15^2[/tex]

[tex]UV^2 = 261[/tex]

Take square roots

[tex]UV = \sqrt{261[/tex]

[tex]UV = \sqrt{9*29[/tex]

[tex]UV = \sqrt{9} *\sqrt{29[/tex]

[tex]UV = 3\sqrt{29[/tex]

So:

[tex]cos V= \frac{TV}{UV}[/tex]

[tex]cos\ V = \frac{6}{3\sqrt{29}}[/tex]

[tex]cos\ V = \frac{2}{\sqrt{29}}[/tex]

Rationalize:

[tex]cos\ V = \frac{2}{\sqrt{29}}*\frac{\sqrt{29}}{\sqrt{29}}[/tex]

[tex]cos\ V = \frac{2\sqrt{29}}{29}[/tex]


Related Questions

2 9/10 as a decimal number

Answers

2 9/10 in decimal form would be,

[tex]2.9[/tex]

if you have any other questions like this,

let me know ill help you!!

Answer:

2 9/10=2.9

Step-by-step explanation:

We know that 9/10 is the same as 9÷10

Therefore:

2 9/10 = 2 + (9÷10)

Then using

Long Division for 9 divided by 10

we have

=2+0.9=2.9

Please give me brainliest because I worked hard on this answer and I am trying to level up

plz plz plz HELP!
Based on the values in the table below, find the slope and y-intercept to write the equation of the line in the form y=mx+b ​

Answers

Answer:

y=11x

Step-by-step explanation:

ΔX = 2 – 1 = 1

ΔY = 22 – 11 = 11

hi im 7th grade and i feel like people think i smell when i do everything to not smell. i wake up take a shower with soap aplly deoderant and brush teeth. any tips

Answers

Answer:

Step-by-step explanation:

This might be a hygiene problem. What causes the unpleasant smell is the bacteria that build up on your sweaty skin and react with sweat and oils to grow and multiply when sweat reacts with bacteria on the skin. These bacteria break down proteins and fatty acids, causing body odor in the process. If deodorant isn’t good enough , I recommend perfume, the perfume smell lasts longer than deodorant I would think. But shower everyday, full clean down, but if ur hygiene is ok, I recommend going to the doctor for a checkup. Hopefully your problem will be resolved. Also use lotion.

help pls! i will give 10 points! thxs

Answers

Answer:

P=105°

QR=11.6

M=45°

LN=8.5

Step-by-step explanation:

1

at the end of the day, oranges at a farm market sell for $2.25 per pound and baskets cost $4.00. if serena wants to buy a basket and spend at most $22 total, how many pounds of oranges can she buy

Answers

Answer:

So if im entirely correct you said

Step-by-step explanation:

deeznutz

Solve the system by substitution.
8x – y = 42
-43 - 6 = y

Answers

Answer:

x = .875 y = -49

Step-by-step explanation:

(8x - y = 42)

(y = -43 - 6) or (y = -49)

Since we have our y value, we can plug it into our top equation:

8x -(-49) = 42

8x + 49 = 42

      -42   -42

8x = 7

/8    /8

x = 0.875

To check the work:

8(0.875) - 49 = 42

7 - 49 = 42

1
#2 Solve for p.
186 = 6p
2

Answers

Answer:

31is your answer

186 = 6p

p=186/6=31

what is the expanded form of .039

Answers

Answer:

0.039

Step-by-step explanation:

Expanded Notation Form:

0.039 =

 0  

+   0.0

+   0.03

+   0.009

Expanded Factors Form:

   0.039 =

 0 × 1  

+ 0 ×   0.1

+ 3 ×   0.01

+ 9 ×   0.001

Expanded Exponential Form:

 0.039 =

0 × 100

+ 0 × 10-1

+ 3 × 10-2

+ 9 × 10-3

Those are the way you can express .039 in different expanded forms

Hope this helps

andre and Elena are each saving money. Andre starts with $100 in his savings account
nd adds $5 per week. Elena starts with $10 in her savings account and adds $20 each
jeek.
1. Write an equation in y= mx + b form to represent at what rate Elena and Andre are
aving their money.
Y=mx+b

Answers

Answer:

Andre  y=5x+100

Elena y=20x+10

the rate Elena is 20

the rate  Andre is 5

Step-by-step explanation:

can you help me in that problem​

Answers

Answer:

(x - 10, y - 13)

Step-by-step explanation:

We have two shapes on a graph and the question is asking for the translation of rhombus QRST to rhombus Q'R'S'T.

Looking at the graph we can see that not only does the rhombus move backwards, but also downward, this indicates that our answers will be in a subtracting symbol.

So all we have to do is count the amount of spaces rhombus QRST went to get to rhombus Q'R'S'T

HELP ME PLEASE!!!!!!!!!!!​

Answers

Answer:

y - 7 = 5/4(x - 3)

Hope that helps

Answer:

welcome

Step-by-step explanation:

Solve for g in terms of h
6g - 3+ h = 5g - 4h + 13

Answers

The answer is g= -5h + 16

Answer:

g = −5h+16

h = −[tex]\frac{g}{5}[/tex]+[tex]\frac{16}{5}[/tex]


Write an equation of the line through (-2, - 1) having slope
8/7?

Answers

Answer:

When slope and one point are known follow instructions on this page:

http://www.1728.org/distance.htm

Calculate "b" from this equation:

b = y -mx where "m" is the slope

We'll use the point given (-2, -1) for "x" and "y"

b = -1 -(8/7) * -2

b = -1 + 16/7

b = 9/7

then we enter "b" and the slope into this equation

y = 8/7x +9/7

y = 1.142857 x + 1.2857142857

Step-by-step explanation:

It takes Brian 7 weeks to save
420 dollars. At this rate how
much will he have saved after ||
weeks?

Answers

He will save 120 dollars

Which of the following are magnitudes for rotational symmetry of the square below about the marked point?

Choose all answers that apply:

A : 45

B : 180

C : 270

D : None of the above

Answers

CCCCCCCCCCCCCCCCCCCCC

Answer:

b

Step-by-step explanation:

that was the right answer on khan academy

which equation is it please help me !!

Answers

Answer:

y-8x=-2

Step-by-step explanation:

so the slope of the perpendicular line has to the negative receprical of the slope of this line which gives

-(-8)=8

let us put all the equations into slope intercept form

a.y=-8x+6

b.y=-1/8x-5

c.y=1/8x-5

d. y=8x-2

y=mx+b

as you can see the only line with a slope of 8 is y-8x=-2


[tex]\frac{1}{x {}^{2} - 3 } = \frac{ \sqrt{3} }{x + \sqrt{3} } - \frac{2}{ \sqrt{3} - x } [/tex]
can someone please solve this?

Answers

Answer:

[tex]\boxed{\textsf{ The value of x is \textbf{ 8 + 6}$\sqrt{3 }$.}}[/tex]

Step-by-step explanation:

Here we are given a equation which we need today simplify and solve for x .The given equation to us is :-

[tex]\sf\implies \dfrac{1}{x {}^{2} - 3 } = \dfrac{ \sqrt{3} }{x + \sqrt{3} } - \dfrac{2}{ \sqrt{3} - x } [/tex]

Let's simplify the equation :-

[tex]\sf\implies \dfrac{1}{x {}^{2} - 3 } = \dfrac{ \sqrt{3} }{x + \sqrt{3} } - \dfrac{2}{ \sqrt{3} - x } \\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3}{x+\sqrt3}-\dfrac{2}{-(x-\sqrt3)}\\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3}{x+\sqrt3}+\dfrac{2}{x-\sqrt3}\\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3(x-\sqrt3)+2(x+\sqrt3)}{(x+\sqrt3)(x-\sqrt3)}\\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3x-3+2x+2\sqrt3}{x^2-3}\\\\\sf\implies 1=\sqrt3x-3+2x+2\sqrt3 \\\\\sf\implies \sqrt3x+2x = 4-2\sqrt3\\\\\sf\implies x(\sqrt3 +2)=4-2\sqrt3\\\\\sf\implies x =\dfrac{4-2\sqrt3}{\sqrt3+2}\\\\\sf\implies x =\dfrac{ (4-2\sqrt3)(\sqrt3-2)}{(\sqrt3+2)(\sqrt3-2)}\\\\\sf\implies x =\dfrac{-8-6\sqrt{3}}{3-4}\\\\\sf\implies \boxed{\pink{\sf x =8+6\sqrt3}}[/tex]

1) (2 points) Imagine a 21-gonal prism. How many total faces does this prism have? Provide a clear
and detailed justification for your answer, using appropriate vocabulary, that does not rely on a
formula.

Answers

Answer:  There are 23 faces total.

Explanation:

This is because there are 21 lateral faces, each of which are a rectangle. Then there are the 2 base faces which are each 21-gons. A 21-gon is a 21 sided polygon. So we have 21+2 = 23 faces total.

Can someone do this warmup for me

Answers

Answer:

cos, it's adjacent over hypotenuse.

If the m<1 is 34 degrees and the m<2 is 75,what is the m<3?

Answers

if its a triangle

m1 + m2 + m3 = 180

34 + 75 + m3 = 180

109 + m3 = 180

m3 = 180-109

m3 = 71°

A total of 5.9 percent of the prime time viewing audience watched shows on ABC, 7.6 percent watched shows on CBS, 5.5 percent on Fox, 6.0 percent on NBC, 2.0 percent on Warner Brothers, and 2.2 percent on UPN. A total of 70.8 percent of the audience watched shows on other cable networks, such as CNN and ESPN. You can find the latest information on TV viewing from the following website:

Develop a pie chart or a bar chart to depict this information. Write a paragraph summarizing your findings.

Answers

Answer:

Step-by-step explanation:

Given the data :

ABC = 5.9%

CBS = 7.6%

FOX = 5.5%

NBC = 6.0%

Warner Brothers = 2%

UPN = 2.2%

Other Cable network = 70.8%

From. The piechart distribution, it could be seen that majority of prime time audience watched on other cable network such as CNN and ESPN which Is more than 2 times the percentage that watched on channels such as Fox, ABC, CBS, NBC, Warner Brothers, and UPN which polled about 30% of viewers.

Michael paid $10 for a six-pack of socks at the store. How much would one pair of those socks cost?

Answers

10/6 = 1.6666... per sock
so $1.67

for the following exercises, identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the data.
14. distance to the closest movie theater
16. number of competing computer spreadsheet software packages

Answers

Answer:

14: quantitative continuous

16: quantitative discrete

Step-by-step explanation:

Distance can be any non-negative real number, hence it is continuous.

The number of packages has to be a positive integer, hence is discrete.

In a math class with 26 students, a test was given the same day that an assignment
was due. There were 17 students who passed the test and 18 students who completed
the assignment. There were 15 students who passed the test and also completed the
assignment. What is the probability that a student who failed the test completed the
homework?

Answers

Answer:

The propability would be 4/26 students who failed the test but completed the

homework

Step-by-step explanation:

The Probability that a student who failed the test completed the homework is [tex]\frac{3}{26}[/tex]

What is  Probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur,

Given,

Total number of students = 26 students

Number of students who completed the assignment = 18 students

Number of students who pass the test and also completed the assignment = 15 students

Number of students who completed the assignment and fail the test = 18 -15 = 3 students

Then,

Probability =  Number of favorable outcome / Total number of outcome

Probability that a student who failed the test completed the homework = [tex]\frac{3}{26}[/tex]
Hence, The Probability that a student who failed the test completed the homework is [tex]\frac{3}{26}[/tex]

Learn more about Probability here

https://brainly.com/question/11234923

#SPJ2

Which of the values below will make 3+x=21 true

Answers

Answer:

x=18

21-3=18

Step-by-step explanation:

What is a counterexample for 3/4 and 6/8

Answers

Answer:

While 3/4 and 6/8 are equivalent fractions, 3/4 and 6/8 of a pizza could represent different amounts.

At an assembly 6 out of the first 10 students who entered the gym were carrying a backpack. Based on this information, it 700 students were at the assembly, how many students could be expected to be carrying a backpack? pls give an answer no answer choices ASAP​

Answers

Answer:

Simple 700/10 is 70 right so multiply 6 by 70 which is 420 so 420 students out of 700. 420/700 ANSWER: 420 hope this is better

Step-by-step explanation:

Pls help extra points and mark brainlist

Answers

Answer:

y(5 + 8)

Step-by-step explanation:

I think what this problem wants us to do is take y out of this expression. 5y divided by y is 5 and 8y divided by y is 8, so we would get that this expression is y(5 + 8).

If you wanted to simplify, you would get y(13), which is 13y.

-1.375 as a mixed number

Answers

I Think The Answer Is -1 3/8

At the end of a conference, the attendants were asked if they are planning to attend this conference next year. The ratio of ‘Yes’ to ‘No’ answers was 7 to 9. If 320 people gave either a 'Yes' or 'No' answer, then how many of these people answered 'Yes'?

Answers

Answer: 140

Step-by-step explanation:

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