Mathematics College


Let 0 be an angle in quadrant 3 such that cos0=-5/13.

Find the exact values of csc0 and tan0

Let 0 Be An Angle In Quadrant 3 Such That Cos0=-5/13.Find The Exact Values Of Csc0 And Tan0

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Given

cosθ = - [tex]\frac{5}{13}[/tex]

This is a 5- 12- 13 right triangle

with adjacent = 5, opposite = 12 and hypotenuse = 13

In quadrant 3

sinθ < 0 and tanθ > 0 , then

sinθ = [tex]\frac{opposite}{hypotenuse}[/tex] = -  [tex]\frac{12}{13}[/tex] and

cscθ = [tex]\frac{1}{sin0}[/tex] = [tex]\frac{1}{-\frac{12}{13} }[/tex] = - [tex]\frac{13}{12}[/tex]

then

tanθ = [tex]\frac{sin0}{cos0}[/tex] = [tex]\frac{-\frac{12}{13} }{-\frac{5}{13} }[/tex] = - [tex]\frac{12}{13}[/tex] × - [tex]\frac{13}{5}[/tex] = [tex]\frac{12}{5}[/tex]

Related Questions

a 16 cup of carton of ice cream cost $12 .00. what is price

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Answer:

Price for what?one cup or?

3. Write Math Two factors that make a product are sometimes called a factor
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equation with a variable on both sides that equal 27

Answers

Answer:

x +20 = 20 + 4 -x +10  (x =7)

Step-by-step explanation:

equation with a variable on both sides that equal 27

x +20 = 20 + 4 -x +10


If Dylan does a job in 50 hours and Kristen does a job in 75 hours, how long will it take them to do the job
together?

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75 hours because they both do it in the future

The temperature in the production department is 21°C at 12 noon. If
the temperature increases 1.5° C every hour, what will the temperature
be at 5 pm?

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28.5 (I don't know if this is fully correct)

Please look at the picture for question.

Answers

Answer:

Step 1

Step-by-step explanation:

h/0.5 = 7

In step 1, he need to multiply 0.5 on both sides.

Instead, he divided 0.5 to 7 ( i.e ) 7/0.5, This is the mistake.

The correct solution,

Step 1 :

h/0.5 • 0.5 = 7 • 0.5

Step 2 :

h = 14

g(x) = -x + 2, find g(5)

Answers

Answer:

-3

Step-by-step explanation:

-(5)+2 = -3

Simon bought a $48 table on sale at 30% off.

Select from the drop-down menu to correctly complete the sentence.
The best estimate for the discount can be found using the expression

A)0.003(50)
B)0.3(50)
C)3(50)
D)30(50)
Explain, please!

Answers

Answer:

The answer is B. Hope this helps!

what is the important variable in the problem?


Gary had a pizza party for his friends 14 people showed up, and they had 50 pieces of pizza. How many pieces of pizza did each person have?

Answers

Answer:

3

Step-by-step explanation:

each friend would have 3 pizzas

Johnny's home is m miles from school. Johnny runs to school at a speed of 8 mph and then walks home from school at half that speed. Suppose it take johnny 15 longer to walk to home than to run to school. Write an equation that shows this relationship.

Answers

Answer:

first we know the speed from home to school is 8mph and from school to home is half that speed so 4 miles per hour

now,

from home to school it takes: m/8 hours

and from school to home m/4 hours

we can pass it to minutes multiplying by 60

so:

from home to school it takes: m*7.5 minutes

and from school to home m*15 minutes

and now the relations between these two amount of minutes is that takes 15 more from school to home so:

7.5m+17

Step-by-step explanation:

Safe Combination. The author owns a safe in which he stores all of his great ideas for the
next edition of this book. The safe combination consists of four numbers between 0 and 99. If
another author breaks in and tries to steal these ideas, what is the probability that he or she will
get the correct combination on the first attempt? Assume that the numbers are randomly
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making random guesses for the combination?

Answers

Answer: 1/96059601

Don't break in

Step-by-step explanation:

First we need to find how many combinations there are.

We can find that by multiplying the four different number of options which in this case are all 99.

99 * 99 * 99 * 99

= 96059601

There are 96059601 different combinations and one correct combination.

So, the chance of them getting it is 1/96059601

It is definitely not a nice number so probably don't try and break in.

A customer buys a different DVD that has an original selling price of $28. The DVD is discounted by 15%. The customer must pay a 5% sales tax on the discounted price of the DVD.
What is the total amount, in dollars, the customer pays for the discounted DVD?

Answers

answer is 27.2$ of all pay

Which values of k are solutions to the inequality?

k>12

Select each correct answer.


k = 11.9

k = 12.1

k = 13.0

k = 19.9

k = 10.2Which values of k are solutions to the inequality?

k>12

Select each correct answer.


k = 11.9

k = 12.1

k = 13.0

k = 19.9

k = 10.2

Answers

Answer: B.  k = 12.1.

C. k = 13.0.

D. k = 19.9.

Step-by-step explanation: Which values of k are solutions to the inequality k>12 are B.  k = 12.1 , C. k = 13.0 , and D. k = 19.9 because it literally says k>12 so every value of k that's solutions to the inequality k>12 have to be greater than 12. Due to this B.  k = 12.1, C. k = 13.0, and  D. k = 19.9 are the correct answer choices that you should choose and the incorrect answer choices that you shouldn't choose are A. k = 11.9, and E. k = 10.2 .

Answer:k + 13.0

Step-by-step explanation:

What is the range of the relation graphed below?

Answers

Answer:

a

Step-by-step explanation:

An exponential function in the form y=2401(b)^x contains the point (4,1). What is the value of b?

Answers

there ya goooooooooooooooooo

PLEASE HELP 20 POINTS
What is the value of the expression 5(6/12-1/4) + 0.5

Answers

Answer:

5/8

Step-by-step explanation:

First you need to reduce the fractions then you choose a common denominator to calculate:6/12=1/2 then you see the you see 1/4 can be a common denominator so you equal 1/2 to the denominator by 4, which means multiplying 2 by both the numerator and denominator, we get 2/4 after that you add and subtract in parentheses and you will get 1/4 then you multiply by 5 to get 5/4 the finally you have to plus 0,5 you will get 7/4 done.

This is K12 in sixth grade
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How many tables will be needed to seat all 150 guests?


12

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162

1800

Answers

Answer:

13

Step-by-step explanation:

divide 150 by 12

the answer is 12.5

round 12.5

;)

Your answer here is 13 aka b

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Answers

Answer:

51,000 thousand

Step-by-step explanation:

the miles are above 500 , 600 so they rounded up to 51,000

Hope that helped :) have a great day !

Answer:

The distance driven by the McAlister family car in one year, to the nearest thousand, is 51,000 miles

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Answers

Answer:

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Step-by-step explanation:

Simplfy the expression

The governor of state A earns $51,615 more than the governor of state B. If the total of their salaries is $291,335, find the salaries of each.

Answers

Answer:

A = $171,475, B = $119,860

Step-by-step explanation:

A represents the salary of the governor of state A.

B represents the salary of the governor of state B.

A is $51615 larger than B, so you get the equation:

A = B + 51615

The total of the two salaries is $291335, so you can the second equation:

A + B = 291335

Using the first equation, substitute the quantity (B + 51615) for A in the second equation.

(B + 51615) + B = 291335

2B + 51615 = 291335

2B = 239720

B = 119860

Plug this value of B back into either of the equations.

A = B + 51615 = 119860 + 51615 = 171475

How are congruent angles and congruent segments similar?

Answers

They both share equal parts. Congruent means equal and a congruent segment is equal to the other segmant. Same goes for congruent angles

A wheel on Ruben’s bicycle is 1.5 ft in diameter. Reuben races the bicycle for 155 ft. How many times does the wheel turn as the bicycle travels this distance? Use the value 3.14 for ㅠ. Round your answer to nearest tenth. Do not round any intermediate steps.

Answers

Answer:

32

Step-by-step explanation:

1.5 × 3.14 =4.71

155÷4.71=32.909

so,answer is 32

Find the area of the polynomial:
A.) 6a^3 + 12a^2 − 15a
B.) 6a^3 + 12a − 15
C.) 6a^2 + 12a − 15
D.) 5a^2 + 7a − 2

Answers

Answer:

A.) 6a^3 + 12a^2 - 15a

Step-by-step explanation:

Area = w * l

Area = 3a(2a^2 + 4a - 5)

Area = 6a^3 + 12a^2 - 15a

The triangles shown below must be congruent.
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55-7
100"
100
55"
25°
0
о
A. True
о
B. False

Answers

9514 1404 393

Answer:

  B.  False

Step-by-step explanation:

The three pairs of corresponding angles have the same measures, so the triangles are similar by AA similarity. However, at least one pair of corresponding sides must be shown congruent before the triangles can be declared congruent.

There is nothing in the diagram to require the triangles be congruent.

With three corresponding equal angles triangles are not congruent. Therefore, the given statement is false.

What is the congruence theorem?

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

The three pairs of corresponding angles have the same measures, so the triangles are similar by AA similarity. However, at least one pair of corresponding sides must be shown congruent before the triangles can be declared congruent.

With three corresponding equal angles triangles are not congruent. Therefore, the given statement is false.

To learn more about the congruent theorem visit:

https://brainly.com/question/24033497.

#SPJ7

Annie spends an average of 2.77 hours on online gaming and two dogs for four hours on doing other school activities online each day six days a week about how long does she's been surfing the Internet in a day in a week

Answers

Answer:

Step-by-step explanation:

3. Use the vertical line test to determine whether the relation graphed below is a function
(1 point)
Oyes
Ono
O cannot be determined

Answers

Answer:yes

Step-by-step explanation:

Bc it is was r

PLEASE HELP MEEEE!!!!!!!!!

Answers

Answer:

a) 1,144 rad/min

b) 182.1 rev/min

Step-by-step explanation:

d= 24 inches

radius = 24/2 or 12 inches

speed = 13mi/h

need to convert speed to inches/min

v = Θ * r

1 mile = 63360 inches, and 1 hour = 60 min

13 mi * (63360 in / mi)

= 823680 in /  (1 hr * 60 min / hr)

=13728 in/min

Now go back to the equation

13728  in / min = ω * 12 in

13728  /12 = Θ

1,144 rad/min

b) 1 revolution = 2π

w= Θ/2π

w= 1,144rad/ min/2pi rad

w= 182.1 rev/min

Which sums and/or differences equal 14? Check all that apply.

Answers

Answer:

What's the choices??

Step-by-step explanation:

A polygon has 7 sides. The interior angle measures are 131°, 127°, 134°, 122°, 132°, 120°, and x°. Find the value of x Help ASAP

Answers

X equals 134 degrees because if you do the # of sides minus 2 times 180 that’s how much all of the angles have to equal so if you add them all up and subtract them from 900 you get 134.

3x+2=198
Solve it as Soon as possible!​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's solve for x ~

[tex]3x + 2 = 198[/tex]

[tex]3x = 198 - 2[/tex]

[tex]3x = 196[/tex]

[tex] \boxed{ \boxed{x = \dfrac{196}{3} } \: \: or \: \: \boxed{ x = 65.33}}[/tex]

Answer:

[tex]\boxed{\blue{ = \frac{196}{3}}} [/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

3x+2=198

Step 1: Subtract 2 from both sides.

3x+2−2=198−2

3x=196

Step 2: Divide both sides by 3.

[tex] \tt \: \frac{3x}{3} = \frac{196}{3} [/tex]

Result:

[tex]\boxed{\underline{ x = \frac{196}{3}}} [/tex]

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