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
A 29-m tall building casts a shadow . The distance from the top of the building to the top of the shadow is 32m. Find the length of the shadow.
Answers
Can anyone help me with these? It's a yes or no question...
Answers
Answer:
Yes
Step-by-step explanation:
If you insert the numbers it will turn out something like this:
5+6=11
2+18=20
And those are all true.
I hope this helps :)
Answer:
Yes it is
Step-by-step explanation:
x=1 y= 6
(5 × 1) + 6 = 11
(2×1) +(3×6) =20
The law of cosines is a2 +62 - 2abcosC = (2. Find the value of 2abcosC.
2
4
B
A
5
Answers
Answer:
[tex]2abcosC = 37[/tex]
Step-by-step explanation:
Given
[tex]a^2 + b^2 - 2abcosC = c^2[/tex]
Required
[tex]2abcosC[/tex]
[tex]a^2 + b^2 - 2abcosC = c^2[/tex]
Add [tex]2abcosC[/tex] to both sides
[tex]a^2 + b^2 - 2abcosC+2abcosC = c^2+2abcosC[/tex]
[tex]a^2 + b^2 = c^2+2abcosC[/tex]
Subtract [tex]c^2[/tex] from both sides
[tex]a^2 + b^2 -c^2= c^2 -c^2+2abcosC[/tex]
[tex]a^2 + b^2 -c^2= 2abcosC[/tex]
From the attachment:
[tex]a = 4[/tex] [tex]b = 5[/tex] and [tex]c = 2[/tex]
So, we have:
[tex]4^2 + 5^2 -2^2= 2abcosC[/tex]
[tex]16 + 25 -4= 2abcosC[/tex]
[tex]37= 2abcosC[/tex]
i.e.
[tex]2abcosC = 37[/tex]
Answer:
A. 37
Step-by-step explanation:
A hummingbird can flap its wings an average of 1800 times every 30 seconds. What is the rate of change of wing flaps?
Answers
Find 2 irrational no.s between 3 and 4
Answers
Answer:
The two rational numbers between 3 and 4 are 3.5 and 3.75. Two irrational numbers between 3 and 4 are √11 and √13.
Step-by-step explanation:
Hope it is helpful.....
Can someone please help me. It’s hard and I don’t understand.
Answers
9513 1404 393
Answer:
changes by 120 for each copyis 1800 if none are soldStep-by-step explanation:
Let's look at the second question first.
x is the number of copies Chau sells. If he doesn't sell any copies, then x = 0. To find Chau's pay, we use x=0 in the equation, and solve for y.
120×0 +1800 = y
0 +1800 = y
1800 = y
Chau's pay when he sells no copies is $1800.
__
If Chau sells 1 copy, then his pay is ...
120×1 +1800 = y = 1920 . . . . . . . use the equation with x = 1
The increase in Chau's pay is 1920 -1800 = 120.
Chau's pay changes by $120 for each copy he sells.
how many groups of 9 are there in 45
Answers
the answer is 5
Step-by-step explanation:
45÷9=5
Explanation
5 times 9 is 45... you can also divide 45 by 9
What can be said about the discriminant of the graph below?
A. The discriminant is positive, so there are no solutions.
B. The discriminant is 0, so there is one solution.
C. The discriminant is negative, so there are no solutions.
D. The discriminant is positive, so there are 2 solutions.
Answers
each unit cost 14p. How much do 942 units cost
Answers
Answer:
Answer: Cost of 1 unit = 14 p Cost of 942 unit = 14 × 942 == 13,188 p
Step-by-step explanation:
find the area of the adjoining figure.
please help and find it
i really need it my exam is tomorrow
i will mark you the brainlliast
Answers
first lets find Area of triangle bellow
(SRT triangle):
FORMULA: (Base×height)/2
(18×5)/2=90/2=45 cm²
now lets find area of trapezoid (PQSR):
FORMULA: ((base+base)/2)×height
((18+20)/2)×4=19×4=76cm²
now lets add both of the figure's areas to get final answer:
45+76=121 cm²
area of figure is 121cm²
please mark❤️
What is the value of Angle 'a'?
a
47°
Answers
Answer:
133
Step-by-step explanation:
180-47=133
Answer: if the shape is a triangle, 180-47=133
if it is any other shape, 360-47=313
Step-by-step explanation:
Carl earns $3.25 per hour walking his neighbor’s dogs. He walks them 1/3 of an hour in the morning and 1/2 of an hour in the afternoon.
a. How much time does Carl spend dog walking every day?
b. How much time does Carl spend dog walking in a week?
c. Ten minutes is equal to 1/6 of an hour. How many minutes does Carl work dog walking each week?
d. How much money does Carl earn each week?
Answers
B) 5.83 hours
C) 350 minutes
D)he would make $18.95 a week
Margo can purchase tile at a store for $.99 per tile and rent a tile saw for $10. At another store she can borrow the tile saw for free if she buys tiles there for $1.49 per tile. How many tiles mushy by for the cost to be the same at both stores?
Answers
Answer:
The indifference point is 20 tiles.
Step-by-step explanation:
First, we need to establish the total cost formulas for each store:
Store 1:
Total cost= 10 + 0.99*x
Store 2:
Total cost= 1.49*x
x= number of tiles
Now, we equal both formulas and isolate x:
10 + 0.99x = 1.49x
10= 0.5x
10/0.5=x
20=x
The indifference point is 20 tiles.
What is the sum of all prime numbers beetween 30 to 60?
Answers
Answer:
311
Step-by-step explanation:
Please give me brainliest and thank me
Answer:
311
Step-by-step explanation:
31+37+41+43+47+53+59=311
please mark me as brainliest, i'd really appreciate it!<3
2019 like “I live my life in fast forward, but they haters wanna rewind me”
Answers
Um how is this related to homework?
3 There are 8 teams in the
recreational soccer league. Each
team is comprised of 9 fourth-
grade students and 5 fifth-grade
students. Which expression could
be used to find the total number of
students in the soccer league?
A. (8 + 9) * 5 =
B. (8 x 9) + 5 =
C. 8 + (9x5) =
D. 8 (9 + 5) =
Answers
Answer:
On each team there is the same number of teammates, the answer is D. 8 (9 + 5).
Step-by-step explanation:
If you add up the amount of teammates then multiply that by the number of teams.
Therefore, D. 8 (9 + 5) is the answer.
The west side bakery uses 520 pounds of flour to make 1000 loaves of bread each loaf contains the same amount of flour
Answers
Answer:
1.92307692308 or 1.92
Step-by-step explanation:
Brainliest?
what is 10x100 must know for test today
Answers
Answer:
1000
Step-by-step explanation:
lol
Answer:
10 x 100 is 1,000
Step-by-step explanation:
A cylinder and a cone have the same base and altitude. If the volume of the cone is 30 cubic inches, what is the volume of the cylinder?
Answers
Answer:
im not completely sure but I'd say 30
Step-by-step explanation:
well I'm not sure but if they have the same base and altitude you'd think they might have the same volume, but I'm not exactly sure
3t+7=3t+6 pls help ...
Answers
Answer:
There are no values of t that make the equation true.
No solution
Step-by-step explanation:
How do you know square root c is a right angle?
Answers
Answer:
angle c is right angle because,
it is proved by Pythagoras theorem....
now,we check that
[tex] {10 }^{2} = {8}^{2} + {6}^{2} \\ 100 = 6 + 36 \\ 100 = 100 \\ lhs = rhs \\ hence \: \: proved \: angle \: c \: is \: right \: angle[/tex]
(a) The perimeter of a rectangular garden is 314 m.
If the length of the garden is 85 m, what is its width?
(b) The area of a rectangular window is 4800 cm
2
If the width of the window is 64 cm, what is its length?
Answers
Answer:72 for the garden and 75 for the window
Step-by-step explanation:
pls help meh on this ty u get brian
Answers
Answer:
2 to the power of 7
Step-by-step explanation:
Since base equal base then subtract the powers
12-5 =7
Which angle number is adjacent to angle to MNJ?
Answers
Answer:
I think it is ACB
Step-by-step explanation:
Please don't come after me if i'm wrong
Please help I don’t understand
Answers
How many lines of symmetry does this figure have?
A. 1
B. 2
C. 4
D. 8
E. 14
Answers
Can someone pretty please help me... it’s only 2 questions! :(
Answers
Answer:
9. C 10. C
Step-by-step explanation:
Please gimme brainliest
Answer: c for both
Step-by-step explanation:
Promote means support, and the “general welfare” is the general good of the people.
The Preambles of the constitution at the beginning of it, so it couldn’t be a a conclusion, and there were no indexes in the Constitution. It had to be a summary or an introduction, Ndola it’s an introduction, it did not explain everything in the document like a a bunch, but it did state that it was a constitution.
Also, the question end should with an, so it had to be an answer starting with a vowel, so one of the last two, since the last one I saw wrong, it had to be c.
help im confused!! i need to find the x
Answers
hehe it’s me again 10 points!
Answers
what?
so the quadratic equation is equivelent to=5^2 so im saying this so that bot doesnt delete me blah blah and 4^2=16 to the power of 4 yhyh
Will mark Brianliest !!!!!!! Please helppp!!!!!!!!!! Show your work correctly !!!!!!!!!!!!
Answers
two-base angle are equal
let take a base angle as x
2x + 98 = 1802x = 180 - 98x = 2/2x = 1