Directions: Find the indicated trigonometric ratio as a fraction in simplest form. 1. Sin L =
M
2. Tan N =
3. Cos L =
10
N
4. Sin N =
Answers
Answer:
[tex]\sin L = 0.60[/tex]
[tex]tan\ N = 1.33[/tex]
[tex]\cos L = 0.80[/tex]
[tex]\sin N = 0.80[/tex]
Step-by-step explanation:
Given
See attachment
From the attachment, we have:
[tex]MN = 6[/tex]
[tex]LN = 10[/tex]
First, we need to calculate length LM,
Using Pythagoras theorem:
[tex]LN^2 = MN^2 + LM^2[/tex]
[tex]10^2 = 6^2 + LM^2[/tex]
[tex]100 = 36 + LM^2[/tex]
Collect Like Terms
[tex]LM^2 = 100 - 36[/tex]
[tex]LM^2 = 64[/tex]
[tex]LM = 8[/tex]
Solving (a): [tex]\sin L[/tex]
[tex]\sin L = \frac{Opposite}{Hypotenuse}[/tex]
[tex]\sin L = \frac{MN}{LN}[/tex]
Substitute values for MN and LN
[tex]\sin L = \frac{6}{10}[/tex]
[tex]\sin L = 0.60[/tex]
Solving (b): [tex]tan\ N[/tex]
[tex]tan\ N = \frac{Opposite}{Adjacent}[/tex]
[tex]tan\ N = \frac{LM}{MN}[/tex]
Substitute values for LM and MN
[tex]tan\ N = \frac{8}{6}[/tex]
[tex]tan\ N = 1.33[/tex]
Solving (c): [tex]\cos L[/tex]
[tex]\cos L = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos L = \frac{LM}{LN}[/tex]
Substitute values for LN and LM
[tex]\cos L = \frac{8}{10}[/tex]
[tex]\cos L = 0.80[/tex]
Solving (d): [tex]\sin N[/tex]
[tex]\sin N = \frac{Opposite}{Hypotenuse}[/tex]
[tex]\sin N = \frac{LM}{LN}[/tex]
Substitute values for LM and LN
[tex]\sin N = \frac{8}{10}[/tex]
[tex]\sin N = 0.80[/tex]
Related Questions
What is the solution to the system of equations graphed below?
y--x+2
y= 5x+ 28
OA. (4, 8)
OB. (0, 2)
Answers
Answer:
4,8 :)
Step-by-step explanation:
Answer:
(-4, 8)
Step-by-step explanation:
other answer was close but wrong
What is the solution to this equation?
Answers
Answer:
x = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given
4x - 6 = 10x - 3 ( subtract 10x from both sides )
- 6x - 6 = - 3 ( add 6 to both sides )
- 6x = 3 ( divide both sides by - 6 )
x = [tex]\frac{3}{-6}[/tex] = - [tex]\frac{1}{2}[/tex]
Match the equation with the graph.
→
Graph E
Graph F
Graph G
Graph H
Answers
Answer:
Graph E: Y= -1/3x +3
Grpah F: Y= 1/2x
Graph G: Y= x-3
Graph H: Y= -x
Step-by-step explanation:
WORTH 25 POINTS!!!!! Three times as many adults as students attended a game. The total attendance was 480. If 3x + x = 480 models this situation,
which two statements are true?
A)
3x = number of students
B)
x = number of adults
480 - X= number of adults
D)
360 adults attended.
E)
200 children attended.
Answers
Answer:
B x= number of adults 480-x = number of adults
please help me on this!
Answers
Answer:
9*572=5148
Step-by-step explanation:
Paige has scored 12 soccer goals after playing 5 games. How many games will it take for her to score 72 soccer goals?
Answers
Answer:
30
Step-by-step explanation:
12 is one sixth of 72. Therefore, she will need to play 6 times the number of games in order to score 72 goals. 5x6=30, so that is the answer
Answer:
13 dollars
Step-by-step explanation:
The library has 65400 art books and 9600 science books. What part of all the books are science books
Answers
Answer:
9,600/75,000, 16/125
Step-by-step explanation:
art+science=75000
9600
75000 =16/125
The part of all the books that are science books is 0.128 or 16/125.
Using this formula
Science books=Science books(Art books+Science books)
Where:
Science books=9600
Art books=65400
Let plug in the formula
Science books=9600/(65400+9600)
Science books=9600/75000
Science books=0.128 or 16/125
Inconclusion the part of all the books that are science books is 0.128 or 16/125.
Learn more about part of books that are science here:https://brainly.com/question/8513862
17 apples and 12 oranges cost $10.44. 3 apples and 4 oranges cost $2.84. How much does 1 orange cost?
Answers
Answer:
0.48$
Step-by-step explanation:
Cost of 1 Apple = A
Cost of 1 Orange = O
Six apples and three oranges cost $3.36 equivalent to:
6A + 3O = 3.36 (1st equation).
Two apples and five oranges cost $3.04 equivalent to:
2A + 5O = 3.04 (2nd equation).
Now we have to solve the 2 equations with 2 uknowns (the cost of 1 Apple = A, and the cost of 1 Orange = O).
6A + 3O = 3.36 (Equation 1)
2A + 5O = 3.04 (Equation 2), multiplying this equation by 3 we get:
6A + 3O = 3.36 (Equation 1)
6A + 15O = 9.12 (Equation 2), Now equation 2 minus equation 1 we get:
6A-6A +15O -3O = 9.12-3.36 equivalent to:
12O = 5.76 => O = 5.76/12 = 0.48 ( the cost of one Orange is 0.48$)
Go back to equation 1 and solve for the cost of 1 apple:
6A + 3x0.48 = 3.36 =>
6A + 1.44 = 3.36 =>
6A = 1.92 =>
A = 1.92/6 = 0.32 ( the cost of one apple is 0.32$)
Summary: The cost of one apple is 0.32$ and the cost of one orange is 0.48$.
A $40,000 car depreciates in value about 18% per year for the life of the car. Determine the value of the car after 7,8, and 9 years. What is the rate of decay?
Answers
Answer:
Value after:
7 years = $9971.42
8 years = $8176.56
9 years = $6704.78
Rate of decay = 18%
Step-by-step explanation:
A $40,000 car depreciates in value about 18% per year for the life of the car.
Determine the value of the car after 7,8, and 9 years. What is the rate of decay?
The formula for Depreciation is
FV = PV( 1 - r)^t
Where
FV = Future value
PV = Present value = $40,000
r = Depreciation rate = 18% = 0.18
t = time in years
a) After 7 years
$40,000 (1 - 0.18)⁷
= $9971.4188227
= $9971.42
b) After 8 years
$40,000 (1 - 0.18)⁸
= $8176.5634346
= $8176.56
c) After 9 years
$40,000 (1 - 0.18)⁹
= $6704.7820164
≈ $6704.78
= $9971.42
The Rate of decay = 18%
Quantity of Notebooks Cost
5/$6.00
6/$5.82
7/$6.44
8/$6.80
9/$8.01
The table shows the cost for different quantities of notebooks offered online. Which is the BEST VALUE?
A) 5 notebooks
B) 6 notebooks
C) 7 notebooks
D) 8 notebooks
Answers
Answer: I think it might be A but then again I am only in 6th grade so, whatever!
Step-by-step explanation:
Each bag of rice costs $60, and you have $180 to spend on
rice. Write an inequality for the possible number of bags of rice
you could buy, then find the maximum number of bags you can
buy.
SER
Answers
Answer:
$180/$60 per bag = 3 bags maximum
Step-by-step explanation:
Not sure I understand the question.
180/60=3 maximum
I don't understand where an inequality fits in
so say if its 4:30 pm now for me, what time will it be in 4 and a half hours? im lazy lolz
Answers
Answer:
9:00
Step-by-step explanation:
solve for x it is a parallelogram
pls help
Answers
Answer:
x = 5
Step-by-step explanation:I hope that this answer will help youAnswer:
[tex]3x + 2 = 17 \\ 3x = 15 \\ \boxed{x = 5}[/tex]
5 is the right answer.Please answer 5 x (1/25)
Answers
Answer:
5/25 or simplified 1/5
Step-by-step explanation:
Answer:0.2
Step-by-step explanation:
Jack wants to lose some weight and is highly motivated to follow the orders of his doctor. His doctor has given him a goal that he is to decrease his weight by 2 3/8 pounds per week. If Jack weighs 250 pounds
when he starts the diet, how much will he weigh after five weeks on the
diet?
Answers
Answer:
The answer would be 11 7/8 pounds
Step-by-step explanation:
2 3/8 times 5 equals 11 7/8.
Hope I helped!! :)
Sorry if it's wrong! :(
Pls mark brainlist.
A salesperson earns $450 per week plus 15% of her weekly sales. The
expression representing her earnings is 450 +0.15x. Which of the following
describes the sales necessary for the salesperson to earn at least $600 in
one week?
Answers
Answer:
If a sales person wants to earn $600 in 1 week they have to make $1000 dollar sale or a bunch of sales that can make $1000
Step-by-step explanation:
Because $600 - $450 gives you $150, and $150 is 15% of her sales to if we were to divide $150 by 0.15 ( 15% in decimal for ) we would get $1000 meaning 15% of 1000 is 150.
Hope this helps :)
I really need help please!
Answers
I need help fast thank you!!
Answers
Answer: hypotenuse is 37
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
Bethany can mow her lamily's lawn in 4 hours. Her brother coin can mow the lawn into hoursWhich equation can ve
used to find the number of hours, x, it would take for Bethany and Colin to mow the lawn together?
Answers
Answer:
1/x = 1/4 + 1/3
Step-by-step explanation:
In 4 hours Bethany did the whole fraction 1 of the house.
In 1 hour he would do 1/4 of it.
In 3 hours Colin did the whole fraction 1 of the house.
In 1 hour he would do 1/3 of it.
In 1 hour they would both do (1/4 + 1/3)
If it takes both of them x hours to finish 1 whole fraction of the house.
In 1 hour they will both do 1/x
That means that:
1/x = 1/4 + 1/3
That is the equation. x can be solved for.
Anyone know??? thank you
Answers
Answer: nope
Step-by-step explanation:
-6 x -1 x -2 x -3
Which of the following is the correct answer
-36
-12
12
36
Answers
Explanation: (-6 x -1)(-2 x -3)
6 x 6 = 36
Because - x - = +
Write an equation of the line that passes through (1, 2) and is parallel to the line y = -52 +4.
y
5x + 7
Answers
Answer:
gfgdf
Step-by-step explanation:
dfhdf
I need help plz! If anyone knows, I would truly appreciate it! Thank uuu!!!!^^
(5 screenshots included)
Answers
Answer:
pic1 a pic2 d
Step-by-step explanation:
i did this
i hade this paper earlier
if 72 is 40% what is 100%?
Answers
Answer:
180
Step-by-step explanation:
If 40% = 72, 100% can be found like so:
40% = 72
100% = [tex]\frac{100}{1}[/tex] * [tex]\frac{72}{40}[/tex]
You can reduce 40 and 100 by 20 (or probably more, but I'll use 20)
So now we have:
[tex]\frac{50}{1}[/tex] * [tex]\frac{72}{20}[/tex] = [tex]\frac{3600}{20}[/tex]Divide, and you get 180.
To check, we can find 40% of 180.
(I looked it up)
Hope this helps!
Dale buys candy that costs $8 per pound. He will buy at least 7 pounds of candy. What are the possible amounts he will spend
on candy?
Use c for the amount (in dollars) Dale will spend on candy,
Write your answer as an inequality solved for c.
Answers
Answer:
66
Step-by-step explanation:
-2x - 2y =-10 and 9x + 7y = 49
Answers
Answer:
I think it is 49
Step-by-step explanation:
Hope this helped have an amazing day/month/year!
You are trapped in a concrete room with no doors or escape methods of any kind. And a table and a mirror is all you have. How do you escape?
Answers
Answer:
Through the mirrror try breaking the mirror with the table, touch the mirror if u seen green people can see u through the other side but if it doesnt find a diff way.
Step-by-step explanation:
whats the area of 1.6m, 1.2m and 1.4m?
Answers
Answer:
= 2.1 meters
Step-by-step explanation:
help
pls
its
due
tmr
pls
pls
ill give 50 points
Answers
Answer:
A
Step-by-step explanation:
might be wrong
I don't get it, the concept is to make a proof, but I'm so confused!!!!
Answers
Answer:
Try Finding What A And B Is...
Step-by-step explanation: