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
levacccp [35]
4 years ago
5

50 points please give step by step instruction

Mathematics
1 answer:
fenix001 [56]4 years ago
8 0

Answer:

<u> </u>x = 90, 199.5, 270, 340.5 degrees

Step-by-step explanation:

cos2x + 2sinx = sin^2x

<em>Change cos2x to 1 - 2sin^2x:</em>

1 - 2sin^2x + 2 sinx = sin^2x

<em>Shift the terms to make it a quadratic equation:</em>

3 sin^2x - 2sinx - 1 = 0

<em>F</em><em>a</em><em>c</em><em>t</em><em>o</em><em>r</em><em>i</em><em>s</em><em>e</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>q</em><em>u</em><em>a</em><em>d</em><em>r</em><em>a</em><em>t</em><em>i</em><em>c</em><em> </em><em>e</em><em>q</em><em>u</em><em>a</em><em>t</em><em>i</em><em>o</em><em>n</em><em>:</em>

(sinx - 1)(3sinx + 1) = 0

sin x = 1 or sin x = -1/3

<em>S</em><em>o</em><em>l</em><em>v</em><em>e</em><em> </em><em>f</em><em>o</em><em>r</em><em> </em><em>s</em><em>i</em><em>n</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>1</em><em>:</em>

From graph of sin x, x = 90 and 270 degrees when sin x = 1.

<u>x</u><u> </u><u>=</u><u> </u><u>9</u><u>0</u><u>,</u><u> </u><u>2</u><u>7</u><u>0</u><u> </u><u>d</u><u>e</u><u>g</u><u>r</u><u>e</u><u>e</u><u>s</u>

<em>S</em><em>o</em><em>l</em><em>v</em><em>e</em><em> </em><em>f</em><em>o</em><em>r</em><em> </em><em>s</em><em>i</em><em>n</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>-</em><em>1</em><em>/</em><em>3</em>

Sin x = -1/3

Basic angle = sin inverse (1/3)

= 19.471 degrees

Since sin x < 0, x is in the 3rd or 4th quadrant

x = 180 + 19.471, 360 - 19.471

<u>x</u><u> </u><u>=</u><u> </u><u>1</u><u>9</u><u>9</u><u>.</u><u>5</u><u>,</u><u> </u><u>3</u><u>4</u><u>0</u><u>.</u><u>5</u>

Hence, <u>x</u><u> </u><u>=</u><u> </u><u>9</u><u>0</u><u>,</u><u> </u><u>1</u><u>9</u><u>9</u><u>.</u><u>5</u><u>,</u><u> </u><u>2</u><u>7</u><u>0</u><u>,</u><u> </u><u>3</u><u>4</u><u>0</u><u>.</u><u>5</u><u> </u><u>d</u><u>e</u><u>g</u><u>r</u><u>e</u><u>e</u><u>s</u>

[<em>S</em><em>o</em><em>r</em><em>r</em><em>y</em><em> </em><em>i</em><em>f</em><em> </em><em>I</em><em> </em><em>a</em><em>m</em><em> </em><em>w</em><em>r</em><em>o</em><em>n</em><em>g</em><em> </em><em>:</em><em>(</em><em> </em>]

You might be interested in
No work needed!! Just answers, thank you! 25 points!!
Maurinko [17]

Answer:

Step-by-step explanation:

S_{31} = 9 \cdot 31 + [-0.5 \cdot \frac{31(31-1)}{2}] = 46.5

S_{40} = 40 + [-3 \cdot \frac{40(40-1)}{2}] = -2300

3 0
3 years ago
1
otez555 [7]

Answer:

20°

Step-by-step explanation:

arc \: length =  \frac{ \theta}{360 \degree}  \times circumference \\  \\  \frac{1}{3}  =  \frac{ \theta}{360 \degree}   \times 6 \\  \\  \theta =  \frac{360 \degree}{18}  \\  \\ \theta =20 \degree

8 0
3 years ago
A city received 18 inches of rain during the first 3 months of the year. If it continues to rain at this rate, how many inches o
Elza [17]

Answer:

72

Step-by-step explanation:

im pretty sure you just have to do 18*4

4 0
3 years ago
Read 2 more answers
7 earn 5 coins
Sergio039 [100]
The answer is 9 cubic units
5 0
3 years ago
What’s the greatest mad
Nana76 [90]

Answer: Jason's team.

Step-by-step explanation: When finding the MAD, you need to find the mean of the data, which they said is 10.  The next step is to subtract numbers from the data from the mean, which is 10 for all three dot plots. For example, for Jason's team, we need to subtract all the 7's, 8's, 11's, 12's, and 13's, because those are the only parts of the plot with data.  Let's try subtracting 7 - 10.  The answer is -3, but we need to make it positive, because that's how data works, so it's actually 3.  You keep doing this for all three plots, which is provided below:

Jason's Team: 3, 3, 2, 2, 2, 1, 2, 3, 3, 3.

Hannah's Team: 3, 2, 2, 1, 0, 0, 1, 1, 3, 3.

Dion's Team: 1, 1, 1, 1, 0, 0, 0, 0, 1, 3.

Now, the next step is adding all these values and dividing it by ten, since that's how many numbers there are for the data.

Jason's Team MAD: 2.4.

Hannah's Team MAD: 1.6.

Dion's Team MAD: 0.8

As you can see, Jason's Team has the greatest MAD, which is your answer.

Let me know if this is right! :)

8 0
3 years ago
Other questions:
  • What is the slope of the line shown below(-1,6)and(32-3)
    12·1 answer
  • 4/15x equals 2/5<br> solve for x
    6·1 answer
  • Solving polynomial equations by factoring Solve: 1/2x^2+5x+25/2=0 Full explanation please, thanks
    8·1 answer
  • Amelia needs to buy dog food. At the nearest store 3 bags of dog food cost $12.75. How much would Amelia spend on 2 bags of dog
    10·1 answer
  • Instead of using the values {1,2,3,4,5,6) on dice, suppose a pair of dice have the following: {1,2,2,3,3,4} on one die and {1,3,
    15·1 answer
  • I NEED HELP PLEASE!!!
    7·2 answers
  • For which shape is 180 degrees the smallest angle of rational symmetry?
    9·1 answer
  • A right rectangular prism has a volume of
    10·1 answer
  • Emma wants to strain a circular deck that has a diameter of 12 m the cost of the wood stain is $3.25 per square meter how much
    14·1 answer
  • Please help I need to turn this in tonight
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!