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
grin007 [14]
3 years ago
8

Arrange the steps in the correct order to solve this trigonometric equation 2sin^2 x -sinx -1 =0 for 0 degrees is less than or e

qual to x is less than or equal to 90 degrees
Mathematics
1 answer:
liq [111]3 years ago
7 0

Answer:

<h3>90°</h3>

Step-by-step explanation:

Given the trigonometry equation;

2sin^2 x -sinx -1 =0

Step 1; Let p = sin(x) to have;

2sin^2 x -sinx -1 =0\\2P^2 -P -1 =0

Step 2: factorize the resulting quadratic equation:

2P^2 -P -1 =0\\2P^2 -2P+P -1 =0\\\2P(P-1)+1(P-1)=0\\(2P+1)(P-1) = 0\\2P + 1 = 0 \ and \  P-1 = 0\\P = -1/2 \ and \ P =1

Step 3: Find x:

when p = 1

sin(x) = 1

x = sin^{-1}1\\x = 90^0

also when p  -1/2

sin (x) = -1/2

x = sin^{-1}-1/2\\x = -30^0\\

x = 180-30\\x = 150^0

Since 150° is not within the range 0<x<90, then the only solution is 90°

You might be interested in
Several students in Ashton’s class were randomly selected and asked how many text messages they sent yesterday. Their answers we
alex41 [277]

Answer:

Hello Love!

All range is in math Is the highest number subtracted by the smallest number so our equation is 15 - 0 = 15

so 15 is our range!

8 0
3 years ago
Read 2 more answers
C and d are complementary. The measure of c is 4x and the measure of d is 26. What is the value of x
const2013 [10]

Answer:

The value of x is 16.    

Step-by-step explanation:

We are given the following in the question:

c and d are complementary angles.

Measure of c = 4x

Measure of d = 26

Since c and d are complementary, we can write from property of complementary:

c + d = 90

Putting values, we get,

4x + 26 =90\\4x = 90-26 = 64\\\\\Rightarrow x = \dfrac{64}{4} = 16

Thus, value of x is 16.

6 0
3 years ago
Select all the correct answers.
Vlad1618 [11]

Answer:

  • The measure of reference angle is 30^{\circ}.
  • \cos \theta=\frac{\sqrt{3}}{2}

Step-by-step explanation:

Converting \theta to degrees,

\theta=\left(\frac{11\pi}{6} \right) \left(\frac{180}{\pi} \right)=330^{\circ}

This means \theta lies in Quadrant 4, and thus its reference angle is 360^{\circ}-330^{\circ}=\boxed{30^{\circ}}

Since \theta lies in the fourth quadrant, \sin \theta and \tan \theta are negative.

Since \theta lies in the fourth quadrant, \cos \theta is positive, and is equal to \cos (30^{\circ})=\boxed{\frac{\sqrt{3}}{2}}

3 0
2 years ago
Please help!!!!! giving brainlist
krok68 [10]

Answer:

A. 25 ounces B. 6.5 ounces C. 10 ounces

Step-by-step explanation:

A.

\frac{3}{5}x = 15\\\implies x = \frac{5}{3}\times{15}\\\implies x = 25

B.

y = 15 - 8.5\\= 6.5

C.

\frac{8}{5}z = 16\\\implies z = \frac{5}{8}\times16\\\implies z = 10

5 0
3 years ago
Read 2 more answers
PLEASE HELP!!!
Art [367]
<h3>Answer: B. About 93%</h3>

You have the correct answer.

=======================================================

Explanation:

Focus solely on the "in anime club" row. We do this because of the phrasing "given the student is in the anime club". We know for a fact that whoever is randomly picked, they are in the anime club. So we don't have to worry about other data values in the other rows.

Divide the value 0.13 which is in the "takes Japanese" column over 0.14, which is in the "total" column.

Basically we're computing P(A|B) = \frac{P(A \cap B)}{P(B)} where A and B represent the events "takes Japanese" and "in anime club" respectively. The upside down U symbol represents intersection to indicate both events are happening at the same time.

So we end up with 0.13/0.14 = 0.92857142857142 which rounds to 0.93, then that converts to 93% when you move the decimal point over to the right two spots.

7 0
3 years ago
Other questions:
  • A rectangle has sides that measure 12x + 7 units long and 9x+ 11 units long. What is the expression that represents the perimete
    5·1 answer
  • What does squares mean
    8·1 answer
  • If cos theta = -4/7 what are the values of sin theta and tan theta?
    11·1 answer
  • If a tree 41.8 feet tall casts a shadow that is 27 feet long, find the height of a tree casting a shadow that is 18.3 feet long
    10·1 answer
  • How to solve using substitution
    5·1 answer
  • What percent of 200 is 290
    14·2 answers
  • From the same staring point, Arun and Bharat traveled in opposite directions. Each of them traveled 7 km, took a right turn and
    10·2 answers
  • The Barker family just left the local pet store with Lucky, their new family dog. The pet store owner told the Barker family tha
    10·1 answer
  • 100 points and brainliest to the one who answers it correctly :]
    5·2 answers
  • What is the slope of the line represented by the equation y + 3 = -4(x-5)?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!