1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lakkis [162]
3 years ago
8

Which trigonometric function would you use to solve the problem? If S=27° and TR=7 find TS (picture provided)

Mathematics
1 answer:
Kay [80]3 years ago
8 0

Answer:

b. sin or csc

Step-by-step explanation:

Remember that sine trigonometric function is the ratio of the opposite side of a right triangle to its hypotenuse; in other words:

sin(\alpha )=\frac{opposite-side}{hypotenuse}

Also, the cosecant is the inverse of sine, so:

csc(\alpha )=\frac{1}{sin(\alpha) } =\frac{hypotenuse}{opposite-side}

Now, for our triangle, our angle is 27°, the longest side of it is TS, and the opposite side of our angle (27°) is TR; therefore, \alpha =27, hypotenuse=TS, and opposite-side=TR.

Replacing values:

- Using the sine trigonometric function

sin(\alpha )=\frac{opposite-side}{hypotenuse}

sin(27)=\frac{TR}{TS}

sin(27)=\frac{TR}{TS}

sin(27)=\frac{7}{TS}

TS=\frac{7}{sin(27)}

TS=15.42

- Using the cosecant trigonometric function

csc(\alpha )=\frac{hypotenuse}{opposite-side}

csc(27)=\frac{TS}{TR}

csc(27)=\frac{TS}{7}

TS=7csc(27)

TS=15.42

We can conclude that we can use either the sine trigonometric function or the cosecant trigonometric function to solve the problem.

You might be interested in
Solve for z. z³ = 64 Enter your answer in the box. z =
zlopas [31]

Answer:

z³ = 64

z³=4³

since power is equal, base will be same

z=4

Step-by-step explanation:

6 0
3 years ago
4(x−2+y)<br> It's for khan academy
inessss [21]
The answer is 4x-8+4y i think?
4 0
3 years ago
Please help me asap<br> math
Stella [2.4K]

Answer:

I think 478.4   ._.

Step-by-step explanation:

First, find out how many gallons of gasoline she can buy with $18.50 by dividing 18.50 by 1.25 to get 14.8 gallons. Then, since he already has 6 gallons in his tank, add 6 to 14.8 = 20.8. Finally multiply this by the ratio of gallons to miles (23) to get 478.4

3 0
3 years ago
An equilateral triangle has a perimeter of 48 centimeters. If the triangle is dilated by a factor of 0.75, what is the length of
elena55 [62]
The length of each side is 28 cm. 
the perimeter of the equilateral triangle is 48 cm. To find each side of the original triangle, you do 48/3=16cm. since the triangle dilate by 0.75, then you can just do 0.75*16=12cm. then you have to add 12 to 16 because the triangle gets bigger by 12 cm. so 16+12=28 cm.
4 0
3 years ago
A store owner purchases thirty 75-watt light bulbs and 40 fluorescent light bulbs for a total cost of $95. A second purchase, at
N76 [4]

Answer:   75-watt are 30$  fluorescent are 30$ in the second and 65$ in the first

     

Step-by-step explanation: i calculated thirty 75-watt and the fluorescent and got these kinda hard to explain hope i helped:)

7 0
3 years ago
Other questions:
  • Andre and Diego were each trying to solve 2x+6=3x−8. Describe the first step they each make to the equation. The result of Andre
    14·1 answer
  • I need help with questions 17 and 18, I don't understand them, if you could give a nice explanation ill give you brainliest.
    10·1 answer
  • a 6 ft tall person is standing next to a flagpole. the person is casting a shadow 1 1/2 in length while the flagpole is casting
    12·1 answer
  • To convert a distance of 1.7 miles to feet, which ratio could you multiply by?
    6·2 answers
  • Q.4 a) If a= x+y and b= x-y , show that I) (a+b)²= 4x² ii) ( a-b)²= 4y²​
    11·1 answer
  • Write the ratio of the first measurement to the second measurement. Compare in millimeters.
    6·1 answer
  • Arc is 41 and angle is 40. I have no other given information but I have to find x
    13·1 answer
  • These tables correspond to inputs and outputs. Select whether these input and output tables could represent a functions.
    12·1 answer
  • Find the Surface Area. I need the answer fast.
    10·2 answers
  • A total of 655 persons have multiple job in a city. Of them, 381 are male, 299 are married and 168 are make and married. Find th
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!