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
lyudmila [28]
3 years ago
12

THANK YOU , PLEASE INCLUDE EXPLANATION

Mathematics
1 answer:
frosja888 [35]3 years ago
5 0

Remark

This will be a little late, but I'll answer it anyway. The more you see of the sine law, the clearer it will be.


Step One

Set up the sine Law.

\dfrac{Sin(x)}{12}=\dfrac{sin(75)}{22}


Step Two

Substitute values

Sin(x) = ??

sin(75) = 0.9659


\dfrac{Sin(x)}{12}=\dfrac{0.9659}{22}


Step Three

Cross multiply and Solve

22* Sin(x) = 12 * 0.9659

22* Sin(x) = 11.591 divide by 22

sin(x) = 11.591 / 22

sin(x) = 0.5269


Step Four

You have to know how to use the inverse of an angle to get the answer. I do it as my calculator would do it. If it doesn't work with yours, let me know.


x = sin^-1(0.5269)

2nd F

Sin^-1

(

0.5269

)

=

You should get 31.79 degrees.

You might be interested in
16. Let W be the set of all vectors in R3 of the form a+2b b -3a Find a basis for Wand state the dimension of W.
Yuki888 [10]

Answer:

W=\{\left[\begin{array}{ccc}a+2b\\b\\-3a\end{array}\right]: a,b\in\mathbb{R} \}

Observe that if the vector x=\left[\begin{array}{ccc}x\\y\\z\end{array}\right] is in W then it satisfies:

\left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{c}a+2b\\b\\-3a\end{array}\right]=a\left[\begin{array}{c}1\\0\\-3\end{array}\right]+b\left[\begin{array}{c}2\\1\\0\end{array}\right]

This means that each vector in W can be expressed as a linear combination of the vectors \left[\begin{array}{c}1\\0\\-3\end{array}\right], \left[\begin{array}{c}2\\1\\0\end{array}\right]

Also we can see that those vectors are linear independent. Then the set

\{\left[\begin{array}{c}1\\0\\-3\end{array}\right], \left[\begin{array}{c}2\\1\\0\end{array}\right]\} is a basis for W and the dimension of W is 2.

7 0
2 years ago
Find a whole number x in x/113 so that the ratio is a good estimate for pi
NISA [10]
So the initial question is x / 113 = 3.14 (we're keeping it a smaller decimal for now)

What you should do first is multiply both sides by 113

Your answer should be x = 354.82

Round this up to x = 355. <-- This is why we only used 3.14 at the start

Now check your work:
x / 113 = ?
355 / 113 = 3.14159265358979... which essentially is pi
4 0
3 years ago
The following are the ages (years) of 5 people in a room:
strojnjashka [21]

Answer:

67 years old. (you only gave 4 people and missed out one person)

Step-by-step explanation:

take all the ages first and put the unknown (age of the person who entered the room) as x.

14, 16, 16, 13, x

all of these numbers added to together would be:

59 + x

Because the question is talking about the mean age, to find mean:

add all the values in the data (ages) and divide by the total number of values on the list. (in your case would be 6 people (following your question) but you gave only 5 people including the x).

then (59 + x) / 6 = 21

21 x 6 = 126

126 = 59 + x

x = 67

7 0
1 year ago
Ending tie us 10:08 elsaped 30 minutes
miskamm [114]
10:38 because 10:08 plus 30 equals to 10:30.
5 0
2 years ago
Find the slope of the line graphed below .
icang [17]

Answer:

the slope would be rise over run

it is shown in the graph it rise 3units and run 2units therefore it's 3/2

4 0
3 years ago
Other questions:
  • Jim bought a fishing rod for $42. This price was 70% of the original price. What was the original price?
    14·1 answer
  • What is the difference between rate and unit rate
    10·1 answer
  • Solve the problem. The half-life of plutonium-234 is 9 hours. If 50 milligrams is present now, how much will be present in 6 day
    10·1 answer
  • How many repeating digits are in 0.536? ​
    6·2 answers
  • Find the sum of 67.008 and 3.8
    12·1 answer
  • My Notes The displacement from equilibrium of an oscillating weight suspended by a spring is given by y(t) = 1 4 cos(5t) where y
    10·1 answer
  • Need help! Will mark Brainiest!
    15·1 answer
  • Under what circumstances can a very small treatment effect be statistically significant? Explain your response.
    11·1 answer
  • Guys plz help me with this question in this figure you have to find the area of rectangle plz help me to find the area of this r
    12·2 answers
  • Cuál es el número que no pertenece a esta sucesión 99 koma 105 koma 111 koma 117 koma 123 koma 129 koma 135 koma 141 koma 147 ko
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!