Answers
Using the Trigonometry ratios, the missing sides and angles are:
1. sin R = 5/13
2. sin T = 12/13
3. cos R = 12/13
4. cos T = 5/13
5. tan R = 5/12
6. tan T = 12/5
7. x = 16.5
8. x = 58.9
9. x = 9.2
10. x = 35.9
11. x = 40.7°
12. x = 77.8°
What are the Trigonometry Ratios?The Trigonometry ratios that can be used to solve any right triangle are given as: SOH CAH TOA.
SOH is: sin ∅ = opp/hyp
CAH is: cos ∅ = adj/hyp
TOA is: tan ∅ = opp/adj.
1. sin R = opp/hyp = 15/39
sin R = 5/13
2. sin T = 36/39
sin T = 12/13
3. cos R = adj/hyp = 36/39
cos R = 12/13
4. cos T = 15/39
cos T = 5/13
5. tan R = opp/adj = 15/36
tan R = 5/12
6. tan T = 36/15
tan T = 12/5
7. Apply CAH:
cos 38 = x/21
x = (cos 38)(21)
x = 16.5
8. Apply TOA:
tan 23 = 25/x
x = 25/tan 23
x = 58.9
9. Apply TOA:
tan 57 = x/6
x = (tan 57)(6)
x = 9.2
10. Apply SOH:
sin 32 = 19/x
x = 19/sin 32
x = 35.9
11. Apply SOH:
sin x = 15/23
x = sin^-1(15/23)
x = 40.7°
12. Apply TOA:
tan x = 37/8
x = tan^-1(37/8)
x = 77.8°
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6th grade hw help! Please and ty.
Answers
Answer: I cant see the pic clearly
Step-by-step explanation:
Answer:
i can't see pic clearly
An artist has completed 1/4 of paintings in 2 weeks. At what rate is she working?
Answers
Answer: the rate is (1/8) paintings per week
Step-by-step explanation:
We usually define the rate as the amount of work done in some unit of time.
In this case, we know that the artist does 1/4 of a painting in 2 weeks, then the rate can be written as:
(1/4)/2 paintings/week = (1/8) paintings/week.
This means that the rate is (1/8) paintings per week, this is the weekly rate at which she works.
(c) Mr. Young suggested contacting a travel agent to see whether they could get a lower price. The agent found a price that was 35% lower than $1879. What was the price the travel agent found? Show your work.
Answers
Answer: The travel services sector is made up of a complex web of relationships between a variety of suppliers, tourism products, destination marketing organizations, tour operators, and travel agents, among many others. Under the North American Industry Classification System (NAICS), travel services comprises businesses and functions that assist with planning and reserving components of the visitor experience (Government of Canada, 2014).
A 7% – 8% commission level is somewhat standard with host agencies working with self sufficient agencies. Independent travel agents earning 90% – 100% of the commission are usually high volume seasoned agents that require little to no support from the host agency.
(sorry if im wrong)
:(
The value of a car depreciates every year ata constant rate, Gary bought a car for $25,000 in the year 2013. If the value of the car is expected to depreciate 15% annually, what can Gary expect for the value of his car in the year 2017?
Answers
Answer:
Step-by-step explanation:
15×4(which is the difference in the year)=60%(this is the depreciation percent)
The value of the car in 2017=40/100×25000=$10000
cuanto es 1955×2876
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Answer:The answer is 5622580
Step-by-step explanation:
what is the average marks of 215
Answers
Answer:
Average marks are 60.❤️❤️❤️❤️
.......Had three thfk DJ back finding
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g A nationwide survey of 17,000 college seniors by the University of Michigan revealed that almost 70% disapprove of daily pot smoking. If 18 of these seniors are selected at random and asked their opinion, what is the probability that more than 9 but fewer than 14 disapprove of smoking pot daily
Answers
Answer:
the probability that more than 9 but fewer than 14 disapprove of smoking pot daily is 0.608
Step-by-step explanation:
From the information given:
Let N represent the total number of senior students
N = 17000
and k to be the number of seniors disapproving of daily pot smoking
k = 17000 × 0.70
k = 11900
sample size n = 18
Suppose X represents the random variable...
Then,
X = 0,1,2,...,18
Thus X follows a hypergeometric distribution with parameters
(N = 17000, n = 18 & k = 11900)
Thus, the probability mass function is:
[tex]P(X =x) = \dfrac{(^k_n) (^{N-k}_{n-x} ) }{(^N_n) }; \ max \{0,(N-K) \} \le x \le min \{n,k\}[/tex]
[tex]P(X =x) = \dfrac{(^{11900}_n) (^{17000-11900}_{18-x} ) }{(^{17000}_{18}) }[/tex]
[tex]P(X =x) = \dfrac{(^{11900}_n) (^{51000}_{18-x} ) }{(^{17000}_{18}) }; \ 0\le x \le 18[/tex]
Now, the required probability is computed as:
[tex]P(9<X<14) = P(10 \le X \le13)[/tex]
[tex]P(9<X<14) = P(X =10) +P(X =11) +P(X=12) +P(X =13)[/tex]
[tex]P(9<X<14) = \left\{\begin{array}{c} \dfrac{(^{11900}_{10}) (^{5100}_{18-10}) }{(^{17000}_{18})} + \dfrac{(^{11900}_{11}) (^{5100}_{18-11}) }{(^{17000}_{18})}+ \dfrac{(^{11900}_{12}) (^{5100}_{18-12}) }{(^{17000}_{18})} + \dfrac{(^{11900}_{13}) (^{5100}_{18-13}) }{(^{17000}_{18})}\end{array}\right\}[/tex]P(9<X<14) = 0.0811 + 0.1377 + 0.1874 + 0.2018
P(9<X<14) = 0.608
Thus, the probability that more than 9 but fewer than 14 disapprove of smoking pot daily is 0.608
Please solve this question.
Answers
Answer:
An equilateral triangle is formed.
Step-by-step explanation:
Since you construct two lines of 60° at points P and Q, the two ends of the line, you construct a triangle with two angles as 60°.
Hence, with the knowledge that the angle sum of a triangle is 180°, we can find that the remaining angle is [tex](180\textdegree - 60\textdegree - 60\textdegree)[/tex] = [tex]60\textdegree[/tex].
Therefore, a triangle with all angles at 60° is an equilateral triangle.
Hope this helped!
What is the value of a3 - b2 for a = 3 and b =1/2 ?
Answers
Step-by-step explanation:
a = 3[tex]b = \frac{1}{2} [/tex]Answer
[tex] {a}^{3} - {b}^{2} [/tex]
[tex] = {3}^{3} - { \frac{1}{2} }^{2} [/tex]
[tex] = 27 - \frac{1}{4} [/tex]
[tex] = \frac{107}{4} [/tex]
[tex] = 26 \frac{3}{4} [/tex]
sorry if wrong :)
What is the measure of PLEASE HELP?!
Answers
kingston made a pot of 29 1/2c of gumbo soup. His family ate some of the gumbo for lunch. this changed the amount of the pot by -7 3/4c. then he gave some gumbo to his neighbors. This changed the amount in the pot by -6 1/2c. How many cups of gumbo are left in the pot?
please answer quickly!!!!!!!
Answers
Answer:
29 1/2-7 3/4 is 21.75
Then 21.75-1/2 is 21.25
Step-by-step explanation:
There is [tex]15\frac{1}{4}[/tex]c of gumbo soup left after Kingston's family ate and he shared some with his neighbor.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Kingston made a pot of [tex]29\frac{1}{2}[/tex] of gumbo soup.
His family ate some of the gumbo for lunch. this changed the amount of the pot by [tex]-7\frac{3}{4}[/tex].
So, Reaming gumbo soup is ([tex]29\frac{1}{2} - 7\frac{3}{4}[/tex]).
= (59/2 - 31/4).
= (118 - 31)/4.
= 87/4c of gumbo soup.
Then he gave some gumbo to his neighbors. This changed the amount in the pot by -6 1/2c.
= (87/4 - 13/2)c.
= (87 - 26)/4c.
= 61/4.
= [tex]15\frac{1}{4}[/tex]c of gumbo soup.
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The ratio of fifth graders to sixth graders is 4 to 5. If one of the grade totals is 160,
select the possible totals for the other grade.
200
160
40
32
128
Answers
Answer:
Hi how are you doing today Jasmine
Answer:
40 and 32 i think
Step-by-step explanation:
i did it and im pretty sure its 40 and 32
What is the slope of the line represented by the values in the table ?
Answers
Answer:
2
Step-by-step explanation:
14-(-2)/10-2
14+2/10-2
16/8
2
I need help with this question thanks!
Answers
Answer:
n= -10
Step-by-step explanation:
50-20= 30 so -3n=30. So n= -10.
Answer:
n=-10
Step-by-step explanation:
-3n+20=50 move constant to the right hand side
-3n=50-20 subtract the numbers
-3n=30 divide both sides by -3 and the answer is n=-10
What is the value of x when y=6
Answers
Answer:
When x = 12, y = 4.
Step-by-step explanation:
If
y
∝
x
we can write that
y
=
k
⋅
x
where k is a constant of proportionality.
Using the values given:
6
=
18
⋅
k
⇒
k
=
1
3
y
=
1
3
⋅
12
=
4
At a zoo in a butterfly enclosure, 5 drops of nectar is sufficient for 2 butterflies. How many butterflies could be fed with 59 drops of nectar?
Answers
Answer:
111 can i get brailyist for replying so fast.
Answer:
23
Step-by-step explanation:
[tex] \frac{2}{5} \times \frac{x}{59} [/tex]
the number of drops of nectar goes on the bottom, and the number of butterflies goes on the top
then you cross multiply to get 5x= 118
solve for × and you get 23.6
for this situation, 0.6 of a butterfly doesn't make sense, so we need to round down.
we round down because it's okay if there's extra nectar, but there can't be less than enough.
you can be 23 butterflies with 59 drops of nectar
Oi anybody who solves this quick get 50 pts
Answers
Answer:
l like ya g
Step-by-step explanation:
I forgot mostly uHm
How do you show 72 × 139
(doing the work)
Answers
Answer:
10008
Step-by-step explanation:
One year, the population of a city was 333,000. Several years later it was
293,040. Find the percent decrease.
Answers
Answer:12%
Step-by-step explanation:
(333000-293040)×100/333000
Use the following coordinate plane to write the ordered pair for each point.
If you can PLZ help
Answers
Answer:
For A it is 0,5
For B it is 1,3
For C it is 4,3
Can someone please answer please
Answers
Answer:
3(x)+2
Step-by-step explanation:
2(5)+6 = 16
3(5)+2 = 17
4(5)-5 = 15
5(5)-10 = 15
HELP ASAP! 100 POINTS + MARKED BRAINLIEST‼️‼️ WHATS THE ANSWER
Answers
Answer:
-4.834 / 73
Step-by-step explanation:
Two points: (2007, 84.134) and (2080, 79.300)
Use the slope formula.
m = y2-y1/x2-x1
m = 79.300 - 84.134 / 2080 - 2007
m = -4.834 / 73
Mr. Heath organizes a six-game tournament where players will
• earn 2.2 points for every game won (W),
• earn 1/4 point for any game ending in a tie (T), and
• lose 3 points for every game lost (L).
Tally a score for an imaginary player.
Make sure the player plays all six games and has at least one win, one loss, and one tie.
Write and solve an equation to find the player’s total score.
Answers
9514 1404 393
Answer:
(W, T, L, S) = (3, 2, 1, 4.1)
Step-by-step explanation:
For some number of wins (W), ties (T), and losses (L), the player's score will be ...
score = 2.2W +0.25T -3L
For 3 wins, 2 ties, and 1 loss, the player's score is ...
2.2(3) +0.25(2) -3(1) = 6.6 +0.5 -3 = 4.1
BRAINLIST HELP TIMED
Answers
Answer:
its the second one
Step-by-step explanation:
u just mulitply the terms together and add the exponents
What is an equation parallel to y=3x-5
Answers
Answer:
ANY line that has a slope of 3, and any y intercept other than -5.
Step-by-step explanation:
Parallel lines have the same slopes, but different y intercepts.
So, it would be ANY line that has a slope of 3, and any y intercept other than -5.
here are a few examples:
y=3x-17
y=3x+4
y=3x+3293248032843209.3432492384032984032984023840398249082
y=3x+5
y=3x-1
y=3x
Kevin works for a car dealership as a sales support person. He is paid $300 a week plus $5 for every car the dealership sells that week as an incentive to help with sales.
Write an explicit definition that defines Kevin's paycheck.
Let n = the number of cars
A
an=300+5n
B
an=300⋅5n
C
an=300n+5
D
an=300−5n
Answers
i will give you brainliest and give you 50 point if you help me
Answers
Answer:
10:16
Step-by-step explanation:
If there are 16 total animals and 10 of them are racoons, then 6 are squirrels which makes them 10:6 ratio.
(BTW I LOVE UR BAKUGOU PFP)
Answer:
the answer will be 10:16
Step-by-step explanation:
To earn a prize sally had to sell at least 9 out of the 20 candy bars for the band fundraiser what percentage of the candy bars did she need to sell ?
Answers
Answer:
45%
trust me i took this test before
Step-by-step explanation:
50 POINTS
What is the area of a rectangle with a length of 8.96 in and a length of 7.7?
a 68.992 in3
b 68.992 in2
Answers
Answer:
thats only 25
Step-by-step explanation:
Explanation:
I’m assuming one of those measurements must be a width, so to find the area of a rectangle it is length x width.
So, it would be 8.96 in x 7.7 in, which gives you a squared unit (in2).