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
harkovskaia [24]
3 years ago
11

BRAINLIEST!!!

Mathematics
1 answer:
goldenfox [79]3 years ago
5 0

Answer:  \frac{8}{17} or 8:17

Step-by-step explanation:

For any angle x (other than right angle) in a right triangle ,the trigonometric ratio of sin x is given by :-

\sin x=\frac{\text{side opposite to x}}{\text{Hypotenuse}}

Given: A right triangle with hypotenuse = 68 units

The side adjacent to S =  60

Let h be the side opposite to S, then using Pythagoras in the given right triangle, we get

(68)^2=60^2+h^2\\\\\Rightarrow\ h^2=68^2-60^2\\\\\Rightarrow\ h^2=1024\\\\\Rightarrow\ h=\sqrt{1024}=32

Thus, the side opposite to S = 32 units

Now,  the trigonometric ratio for sin S is given by :-

\sin S=\frac{\text{side opposite to S}}{\text{Hypotenuse}}\\\\\Rightarrow\sin S=\frac{32}{68}=\frac{8}{17}

Hence, the  trigonometric ratio for sin S =\frac{8}{17} or 8:17

You might be interested in
The exponential decay graph shows the expected depreciation for a new boat, sell g for $3500, over 10 years.
Alisiya [41]
Okay, the exponential function is
g = a^{x}
The start price of it in t=0 is 3,500, as we can see on the graph. Then, the function becomes
g = 3500^{x}
Let's see at t=2, where the price is g=2000:
2000 =  3500^{x}
Take natural logarithm:
ln 2000 = ln  3500^{x}
x*ln 3500 = ln 2000
x = \frac{ln 2000}{ln 3500} = 0.93
So, the difference between t=0 and t=2 is
x_{t=0}  -  x_{t=2}  = 1 - 0.93 = 0.07
And then we get the change of x in one year equal to 0.035.
So, the final equation is
g =  3500^{1-0.035t}
You can insert any t and see that it is correct, for example t=7
8 0
3 years ago
The regular price rounded to the nearest cent
Daniel [21]

Answer:

$189.43

Step-by-step explanation:

To find the original price, write a proportion. In your proportion, write one ration that has sale price over original price. The other ratio should be written with the corresponding percent values. Since the sale price is 65% off then you paid 35% of the regular the price. The proportion should be:

\frac{66.30}{x}= \frac{35}{100}

To solve cross multiply numerator and denominator of each fraction.

66.30(100) = x(35)

6630 = 35x

189.43 = x

This means the regular price is $189.43.

3 0
3 years ago
Look at the graph shown below:
skelet666 [1.2K]

Answer:

A

Step-by-step explanation:

y=3/4x+4 best represents the line shown below. Because the slope of this graph is 3/4, and the y-intercept is positive 4. Remember that slope=rise/run. You can find the slope very easily by counting, 3 upwards and 4 rightwards.

3 0
3 years ago
What is x^2 =361 <br><br> help me, please. thank you
Shtirlitz [24]
You would find the square root of 361.
\sqrt{361}  = 19
x=19
6 0
3 years ago
Read 2 more answers
Ivan has 4 hours of Music on his MP3 player jazz makes up 1/6 of the total time how many hours of jazz are on Ivan's MP3 player
Alex777 [14]
4 hrs = 240 min. 

Jazz = 1/6(240) = 40 min.

Therefore, Ivan's MP3 player has 40 min (2/3 hr) of jazz music.
5 0
3 years ago
Other questions:
  • Veronica owns stocks worth 11,200. She owes 4,500 on her student loans and 800 on her credit cards. She owes 6,000 on her car th
    9·1 answer
  • a ladder that is 20 feet long is leaning against the side of a building if the angle formed between the ladder and the ground is
    15·2 answers
  • PLEASE HELP PLEASE PLEASE The graph below plots a function f(x):
    14·1 answer
  • Complete the statement. The drawing is not to scale. If mangle upper D upper G upper F = 84°, then mangle upper D upper E upper
    10·1 answer
  • 17. A celebrity makes $0.05 for each like they get on
    9·2 answers
  • Which of the following represents a function?
    10·1 answer
  • If x = 3 cm and z = 5 cm, what is the length of y?
    5·1 answer
  • Which of these expressions represents the sum of two rational numbers being rational?
    12·1 answer
  • A straight line has a gradient of -2.Find the equation of that line if it passes through a point whose coordinates is (6,2).​
    14·1 answer
  • What is the volume of this object?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!