Let 0 be an angle in quadrant 3 such that cos0=-5/13.
Find the exact values of csc0 and tan0
Answers
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
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?
Answers
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:
a 16 cup of carton of ice cream cost $12 .00. what is price
Answers
Answer:
Price for what?one cup or?
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:
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
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
An exponential function in the form y=2401(b)^x contains the point (4,1). What is the value of b?
Answers
How are congruent angles and congruent segments similar?
Answers
The triangles shown below must be congruent.
25°
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
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:
3. Write Math Two factors that make a product are sometimes called a factor
pair. Describe how using factor pairs helped you solve the problems.
Answers
Is the value of the factor yes yes
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
This is K12 in sixth grade
The committee is planning a party and 150 guests are expected. Each table seats 12 people.
How many tables will be needed to seat all 150 guests?
12
13
162
1800
Answers
Answer:
13
Step-by-step explanation:
divide 150 by 12
the answer is 12.5
round 12.5
;)
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
What is the sum of the numbers
1*2+2*3+.....n(n+1)
Answers
Answer:
8+n²+n
Step-by-step explanation:
Simplfy the expression
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.
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
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
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
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]
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
Which sums and/or differences equal 14? Check all that apply.
Answers
Answer:
What's the choices??
Step-by-step explanation:
What is the range of the relation graphed below?
Answers
Answer:
a
Step-by-step explanation:
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?
Answers
28.5 (I don't know if this is fully correct)
g(x) = -x + 2, find g(5)
Answers
Answer:
-3
Step-by-step explanation:
-(5)+2 = -3
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
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
selected. Given the number of possibilities, does it seem feasible to try opening the safe by
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.
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
In one year the Mcallister family jobs their car 50,600 miles to the nearest thousands how many miles did they drive their car that year
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
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!
