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
Nuetrik [128]
3 years ago
14

Solve the trigonometric equation 3-3cosx=2 sin^2 x

Mathematics
1 answer:
Zina [86]3 years ago
6 0
= 3 - 3cos x - 2(1- cos^2 x)
= 2cos^2 x - 3cos x + 1
=(cos x -1)(cosx - 1/2)
   now cos x = 1    or cos x= 1/2 
   draw a graph we get = + ve values
  hence .. 0 ,180,360 and 60,240, degrees in range x<2pi 
  
You might be interested in
A clear box has the shape of a rectangular prism and is filled with sand. Find the volume if the box
Strike441 [17]

Answer:

24 m³

Step-by-step explanation:

Since you didn't state the dimensions of the rectangular prism, and you didn't add a picture to show it's dimensions, then permit me to assume dimensions for the question

Assuming it's breadth is 2 m.

Assuming it's length is 4 m.

Assuming it's height is 3 m

Then the volume of a rectangular prism is given as l * b * h. Which means we multiply all the sides by one another. From my assumption of values, we have that 2 * 3 * 4, and this gives us 24 m³

24 m

Now what you'd do is substitute your values for my assumed values.. Cheers

6 0
3 years ago
A section in a stained glass window is shaped like a trapezoid. The top base is 1 centimeter and the bottom base is 3.5 centimet
LUCKY_DIMON [66]
I don't know if it's right but this is what I did. the rounding might be a little different.


(1 + 3.5)  \div 2 \times x = 8.1
4.5   \div 2 = 2.3
2.3x = 8.1
8.1 \div 2.3 = 3.5
x=3.5 cm.
5 0
3 years ago
2. Ramone and his wife had $72,380.90 in combined gross income in 2010. They had $8,295.00 in various adjustments and deductions
MAVERICK [17]
Let x = taxable income = difference of gross income and deductions T = income tax paid = amount sent to the government Use the "filing jointly" chart on the right side. You'll use the second row of that chart since subtracting $72,380.90-$8,295.00 leads to a value between 16750 and 68000. That second row turns into this equation T=1675+0.15(x-16750<span>) w</span>here <span>16750<x≤68000</span>
4 0
3 years ago
A random sample of 56 fluorescent light bulbs has a mean life of 645 hours. Assume the population standard deviation is 31 hours
bezimeni [28]

Answer:

Step-by-step explanation:

We want to determine a 95% confidence interval for the population mean.

Number of sample, n = 56

Mean, u = 645 hours

Standard deviation, s = 31 hours

For a confidence level of 95%, the corresponding z value is 1.96.

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

It becomes

645 ± 1.96 × 31/√56

= 645 ± 1.96 × 4.142

= 645 ± 8.12

The lower end of the confidence interval is 645 - 8.12 =636.88

The upper end of the confidence interval is 645 + 8.12 =653.12

Therefore, with 95% confidence interval for the population mean life of fluorescent light bulbs is between 636.88 hours and 653.12 hours

3 0
2 years ago
What is the answer to 3x365​
ANTONII [103]

Answer:

1,095

Step-by-step explanation:

Okay, so this is pretty simple.

365 x 3

3 x 5 = (1)5 (carry the one)

3 x 6 = 18 + 1 = (1)9 (carry the one)

3 x 3 = 9 + 1 = 10

Add all of those together, the first answer being the back gives you: 1,095

3 0
2 years ago
Read 2 more answers
Other questions:
  • Determine the x and y intercept for 2x + 5y - 20 = 0
    7·1 answer
  • Will give brainliest! please help!
    12·2 answers
  • The Elliot’s have budgeted $2000 to install new wood floors in their home. The materials cost them $1055. If the installer charg
    6·2 answers
  • Define z_alpha to be a z-score with an area of alpha to the right. For Example: z_0.10 means P(Z &gt; z_0.10) = 0.10. We would a
    5·1 answer
  • A Horse is tied with rope in the center of grassland to graze. The length of rope is 5m. The diameter of circular garden is 50m.
    12·1 answer
  • What is the correct way to write 1/4% as a decimal
    8·2 answers
  • 2=5-5x (your answer must include the variable)
    8·1 answer
  • A shopkeeper had 120 kg of rice in the first four week of him and his cell 20⅓kg 10⅕kg 15½kg and 25¾kg respectively find the qua
    15·2 answers
  • Solve x2 – 2x = 15 by applying the quadratic formula.
    11·1 answer
  • PLEASE HELP ME I WILL MARK BRAINLIEST
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!