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
ExtremeBDS [4]
3 years ago
13

2sin^2 2x=2 In the domain [0, 2pi)

Mathematics
1 answer:
djverab [1.8K]3 years ago
8 0
Please type this as 2(sin 2x)^2=2      <span>2sin^2 2x=2 is confusing.

Reducing this expression:  (sin 2x)^2 = 1

Taking the sqrt of both sides, sin 2x = plus or minus 1

If sin 2x = 1, then 2x must be pi/2 or 3pi/2, and so x must be pi/4 or 3pi/4.

Now you do this for sin 2x = -1.</span>
You might be interested in
Mai's water bottle had 24 ounces in it. After she drank x
snow_tiger [21]

Answer:

Option B and C is correct

Step-by-step explanation:

<h3><u>Given</u>;</h3>
  • Priya has 5 pencils, each x inches in length.
  • Total length = 34.5 inches.

Now,

5 times x = 34.5

So,

5x = 34.5

34.5 ÷ 5 = x

Thus, 5x = 34.5 and 34.5 ÷ 5 = x are the answer

 

<u>-TheUnknownScientist 72</u>

5 0
2 years ago
A rectangular box is to have a square base and a volume of 12 ft3. If the material for the base costs $0.17/ft2, the material fo
katen-ka-za [31]

Answer:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

Step-by-step explanation:

Let the dimensions of the box be x, y and z

The rectangular box has a square base.

Therefore, Volume of the boxV=x^2z

Volume of the box=12 ft^3\\

Therefore, x^2z=12\\z=\frac{12}{x^2}

The material for the base costs \$0.17/ft^2, the material for the sides costs \$0.10/ft^2, and the material for the top costs \$0.13/ft^2.

Area of the base =x^2

Cost of the Base =\$0.17x^2

Area of the sides =4xz

Cost of the sides==\$0.10(4xz)

Area of the Top =x^2

Cost of the Base =\$0.13x^2

Total Cost, C(x,z) =0.17x^2+0.13x^2+0.10(4xz)

Substituting z=\frac{12}{x^2}

C(x) =0.17x^2+0.13x^2+0.10(4x)(\frac{12}{x^2})\\C(x)=0.3x^2+\frac{4.8}{x} \\C(x)=\dfrac{0.3x^3+4.8}{x}

To minimize C(x), we solve for the derivative and obtain its critical point

C'(x)=\dfrac{0.6x^3-4.8}{x^2}\\Setting \:C'(x)=0\\0.6x^3-4.8=0\\0.6x^3=4.8\\x^3=4.8\div 0.6\\x^3=8\\x=\sqrt[3]{8}=2

Recall: z=\frac{12}{x^2}=\frac{12}{2^2}=3\\

Therefore, the dimensions that minimizes the cost of the box are:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

7 0
3 years ago
Pls help giving brainlyist
dangina [55]

Answer:

x = 0

Step-by-step explanation:

when y is -3, x is 0

5 0
3 years ago
Solve the system of equations using the substitution method. -x − 2y = 0 y = -8x (x, y) = ( , )
marta [7]

Answer:

= { \tt{(0, \: 0)}}

Step-by-step explanation:

Let:

{ \bf{ - x - 2y = 0 -  -  - (a)}} \\ { \bf{y =  - 8x -  -  - (b)}}

Substitute for y in equation (b) to equation (a):

{ \tt{ - x - 2( - 8x) = 0}} \\ { \tt{ - x + 16x = 0 }} \\ { \tt{x = 0}}

Also, y = 0

4 0
3 years ago
(PLEASE HELP!!) A school’s toilets are broken. Don’t Flush Plumbing Company ™ charges $50 for a service call plus $10 per hour.
mr Goodwill [35]
X is your per hour y is the answer itself


Don’t Flush is y= 10x + 50
Fire hole is y= 5x + 90
5 0
3 years ago
Other questions:
  • The sum of 3x^2 -8x -2 and 4x -2 is?
    11·2 answers
  • Help asap on all three thanks
    15·1 answer
  • Solve y = x + 8 for x.
    13·1 answer
  • Plz :(
    5·2 answers
  • Which equation is a linear function ​
    9·1 answer
  • Please help, thank u​
    12·1 answer
  • A quality control manager is inspecting four digital scales to see if they accurately reflect a weight of 0 ounces. The table sh
    9·2 answers
  • Which statements are correct based on the graph? Select all that apply.
    13·1 answer
  • Tammy bought 20 pounds of flour for $11.<br> How many pounds of flour did she get per dollar?
    10·2 answers
  • Pls answer i really needed this answer
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!