Solve the equation on the
interval [0, 27).
4(sin x)2 - 2 = 0
X
.
7
[?] []? []T
x =
4) 4 4 4
Write your answer in increasing order. Enter the
number that belongs in the green box.
Enter

Solve The Equation On Theinterval [0, 27).4(sin X)2 - 2 = 0X.7[?] []? []Tx =4) 4 4 4Write Your Answer

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

note that (sinx)² = sin²x

4sin²x - 2 = 0 ( add 2 to both sides )

4sin²x = 2 ( divide both sides by 4 )

sin²x = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] ( take square root of both sides )

sinx = ± [tex]\sqrt{\frac{1}{2} }[/tex] = ± [tex]\frac{1}{\sqrt{2} }[/tex]

sinx = [tex]\frac{1}{\sqrt{2} }[/tex] ( sinx > 0 , then x is in 1st/2nd quadrants )

x = [tex]\frac{\pi }{4}[/tex] , π - [tex]\frac{\pi }{4}[/tex] = [tex]\frac{3\pi }{4}[/tex]

sinx = - [tex]\frac{1}{\sqrt{2} }[/tex] ( sinx < 0 , then x is in 3rd/4th quadrants )

x = π + [tex]\frac{\pi }{4}[/tex] = [tex]\frac{5\pi }{4}[/tex] , 2π - [tex]\frac{\pi }{4}[/tex] = [tex]\frac{7\pi }{4}[/tex]

solutions are

[tex]\frac{\pi }{4}[/tex] , [tex]\frac{3\pi }{4}[/tex] , [tex]\frac{5\pi }{4}[/tex] , [tex]\frac{7\pi }{4}[/tex] in the interval [ 0, 2π )


Related Questions

The function f(x) = log0.75x is decreasing true or false

Answers

Answer:

Its true

Step-by-step explanation:

Hope this helped<3

Which function is equivalent to y = 4(1 – 2)? +10? Oy=412 - 40 + 14 Oy=4.62 - 160 +26 Oy=42+ 14 Oy=412 - 161 +56​

Answers

I have no idea what any of this means 187 I just want points

Find the total area of the solid figure. 54 + 9√3/2 46 + 9√2/2 64 + 9√3/2 72+ 2√3/9​

Answers

Answer:

Step-by-step explanation

1/4s squared, square root of 32

bh3. A = pi(r) squared4

1/2 h (b1+ b2)5

pi(d)6 base x altitude7

1/2(ap)8

1/2(bh)

Linda bought ½ of bracelets she bought ⅔ at the same exact time. How many bracelets does Linda have?

Answers

Answer:

the answer is [tex]1\frac{1}{6}[/tex]

Step-by-step explanation:

in this situation, you going to add both fractions to get your answer

[tex]\frac{1}{2}+\frac{2}{3}=\frac{7}{6}[/tex] when reduced  the answer would be [tex]1\frac{1}{6}[/tex]

The 2 above regular hexagons are similar. (see figures) The smaller hexagon was
increased by a factor of 5:7. What is the length of each side of the larger hexagon?

Answers

The smaller and the larger hexagons both have 6 sides

The length of each side of the larger hexagon

How to determine the length of each side of the larger hexagon

The given parameters are:

Smaller side, l =  10

Scale factor = 5 : 7

Represent the length of each side of the larger hexagon with L.

So, we have:

l : L = 5 : 7

Substitute 10 for l

10 : L = 5 : 7

Multiply the ratio by 2

10 : L = 5 *2 : 7  *2

Evaluate the product

10 : L = 10 : 14

By comparison, we have:

L = 14

Hence, the length of each side of the larger hexagon

Read more about scale factors at:

https://brainly.com/question/3457976

Functions! Help with number 3 please!!!

Answers

Answer: 20

Step-by-step explanation:

Assuming g(x) = -4x + 1,

( -4 (-4) + 1) - (-4 + 1)

= (16 + 1) - (-3)
= 17 + 3

= 20

This should be the last of my questions today

Answers

Answer:
PKQ= 52°
Step-by-step explanation:
x= 38°(given)
substitute x value to the equation x+14 (measure of MKN)
MKN angle = 52°
MKN = PKQ (vertically opposite Angles are equal)
Therefore PKQ angle= 52°
Hope this is helpful =)

ratio 90kg to 2 : 3 : 7

Answers

Answer:

Please follow me back

Step-by-step explanation:

The Answer is 158

What is the slope-intercept form or the formula of it?

Answers

Answer:

y=mx+b

Step-by-step explanation:

The slope-intercept formula is y=mx+b


Hope it helps!

-Ava

Answer:

y=mx+b

Step-by-step explanation:

That is the formula of slope-intercept.

I hope it helps! Have a great day!

Bee~

i someone help me solve this

Answers

Answer: 175x + 20 ✅

Step-by-step explanation: 12x^2 + 31x = 175x

175x + 20

Answer:

I'm not sure what the question is.  I don't see an "=" sign, so I'll assume this is simply an expression and we are asked to factor it.

(4x+5)(3x+4)

Step-by-step explanation:

(4x+5)(3x+4) = 12x^2 + 31x + 20

If the equation is = 0, the solutions are x = -(3/4) and x = -(5/4)

please someone tell me the answers to these I dont remember how to do it ​

Answers

Answer:

1)  (3 - 6x)(-8) = (-8)(3) - (-8)(6x) = -24 - (-48x) = -24 + 48x = 48x - 24

2) (-12)(2x - 3) = (-12)(2x) - (-12)(3) = -24x - (-36) = -24x + 36 = 36 -  24x

3) (10 - 2x)9 = (9)(10) - (9)(2x) = 90 - 18x

4) (-5)(11x - 2) = (-5)(11x) - (-5)(2) = -55x - (-10) = -55x + 10 = 10 - 55x

5) (1 - 9x)(-10) = (-10)(1) - (-10)(9x) = -10 - (-90x) = -10 + 90x = 90x - 10

6) (-6)(x + 8) = (-6)(x) + (-6)(8) = -6x + (-48) = -6x - 48

7) (-4 + 3x)(-8) = (-8)(-4) + (-8)(3x) = 32 + (-24x) = 32 - 24x

8) (-5)(1 - 11x) = (-5)(1) - (-5)(11x) = -5 - (-55x) = -5 + 55x = 55x -5

9) (-12x + 14)(-5) = (-5)(-12x) + (-5)(14) = 60x + (-70) = 60x - 70

Step-by-step explanation:

The distributive property is a(b + c) = ab + ac

find the area of a circle with the diameter of 10 cm

Answers

Answer:

In terms of pi: 100pi cm

In terms of 3.14: 314 cm

Step-by-step explanation:

The formula for area of a circle is pi*r². If we plug in the values, we can figure out the answer.

Which of the following conditions make a pair of triangles congruent?

Answers

Step-by-step explanation:

Two corresponding sides and two corresponding angles are equal

A set of data has a mean of 12 and a standard deviation of 3. A data point of the set has a z-score of 1. 3. What does a z-score of 1. 3 mean?.

Answers

Answer:

cccccccccccccccccccc

Step-by-step explanation:

cccccccccccccccccccccccc

I NEED HELP! THIS IS DUE TODAY! I don’t understand this and I don’t have any idea how to find the measure of the angles.

Answers

Answer:

2= 43°

1=137°

3= 137°

Step-by-step explanation:

.this is because 43° and 2 are vertically opposite angles.

.this is because 1 and 43° are on a straight line and angles on a straight line sum up to 180°.

.this is because 1 and 3 are vertically opposite angles.

The diameter of a cylinder is 5 yd. The height is 4 yd. volume of the​ cylinder? Find the volume of the cylinder.

Answers

Answer:

Using volume formula in terms of cylinder and use units such as yd carefully for conversions

Step-by-step explanation:

Diameter = 3 yd

Radius (r) = 3/2 = 1.5 yd

height (h) = 4 yd

Volume (V) = πr²h

                 =π * (1.5)² * 4 =π *2.25 *4

                 = 9π cubic yd

Volume of cylinder is 78.5 cubic yd.Explanation :

Given :-

Diameter of cylinder = 5 ydHeight of cylinder = 4 yd

To Find :-

Volume of cylinder?

Solution :-

Firstly lets calculate radius of cylinder, as we know that;

Radius = Diameter/2

Putting all values we get;

➸ Radius = 5/2

Radius = 2.5 yd

Now let's calculate its volume, as we know that;

Volume of cylinder = πr²h

Putting all values we get;

➸ Volume(cylinder) = 3.14 × (2.5)² × 4

We can write it as;

➸ Volume(cylinder) = 3.14 × 4 × 2.5 × 2.5

➸ Volume(cylinder) = 12.56 × 6.25

➸ Volume(cylinder) = 78.5 cubic yd

Hence, volume of cylinder is 78.5 cubic yd.

36÷(9÷3/4)-2.4 find the answer

Answers

Answer:

0.6

Step-by-step explanation:

Start by what is in the parenthesis, then the division or multiplication from left to right, then addition or subtraction from left to right, so basically just use PEMDAS, and that is it, I just explained how to use it.

Hope this helps :)

Answer:

0.6

Step-by-step explanation:

36/(9 /  3/4)-2.4

=> 36/12-2.4

=> 3-2.4

=> 0.6

Gabe is driving to Florida for spring break. Two hours into the trip, he was 492 miles from his destination. Five hours into the trip, he was 330 miles from his destination. If he left at 7:00 a.m. and keeps a constant pace, between which hours will he arrive at his destination?

A. Between 5:00 and 6:00
B.Between 6:00 and 7:00
C :Between 7:00 and 8:00
D: Betweem 8:00 and 9:00

Answers

Answer:

he started driving 5:00 while was 492miles from his destination he drove for extra 5hours while he was 330 miles from his destination then his final destination will be 8:00 to 9:00

In the function f(x) = (x - 2)2 + 4, the minimum value occurs when x is​

Answers

Answer:

x=2

Step-by-step explanation:

The minimum value of the function would be its vertex, where the x-coordinate is defined as [tex]x=-\frac{b}{2a}[/tex] in the form of [tex]ax^2+bx+c=0[/tex], so we expand the function first:

[tex]f(x)=(x-2)^2+4\\\\f(x)=x^2-4x+4+4\\\\f(x)=x^2-4x+8[/tex]

This is now in the form of [tex]ax^2+bx+c=0[/tex] and we use our rule:

[tex]x=-\frac{b}{2a}\\ \\x=-\frac{-4}{2(1)}\\ \\x=-\frac{-4}{2}\\ \\x=-(-2)\\\\x=2[/tex]

Thus, the minimum value of the function occurs when x=2

The diagram shows a sketch of the curve y = sin xº.
YA
Р
Q
x
a) Write down the coordinates of the point P.
b) Write down the coordinates of the point Q.
]
Feedback

Answers

Answer:

Point P is [tex](\frac{\pi}{2},1)[/tex]

Point Q is [tex](\pi,0)[/tex]

Step-by-step explanation:

We know that the function [tex]y=sin(x)[/tex] has a period of [tex]2\pi[/tex] and that it oscillates between [tex]-1\leq y\leq1[/tex]. So, point P must be [tex](\frac{\pi}{2},1)[/tex], and point Q must be [tex](\pi,0)[/tex].

Calculate value of expressions when
A= -5,b= -4, c= -3 and d=-2

3a+4b+6c+3d

Answers

Answer:

-55

Step-by-step explanation:

3*(-5)+4*(-4)+6*(-3)+3*(-2)=(-15)+(-16)+(-18)+(-6)=(-55)

A pair of shoes cost $95. If the shoes are at a 30% discount and the sales tax is 7%, how much would you end up paying for the shoes? Explain how to get your answer. You can do this by showing all of your work in an organized way or by writing out what you did in complete sentences.​

Answers

If the shoes cost 95 dollars and are at a 30% discount then we know that the shoes cost 70% of its original price. we would write this as 95 x .7 which is 66.50 dollars. The tax would up the price. To do this we need to add a 1 to whatever the tax percentage is. this would then be written as 1.07 x 66.50 and the answer is 71.155. since you can’t pay that amount you have to round up to the near test hundredth. Since the number in the thousandth spot is 5, we round up making your final price 71.16 dollars.

In the figure shown, P is the circumcenter of XYZ, PY=5x-4, and PZ=4x+11. Find PX.

Answers

Answer: 71

Step-by-step explanation:

IM CONFUSED LOL...................

Answers

Answer: three more

Step-by-step explanation:

these are tally marks, one tally mark counts as one, during the fifth mark, it goes sideways across the other four. There are three more students who wanted cookies rather than popcorn because when you minus the numbers of students cookies from popcorn, you get three

Hope this helps

Please give brainliest

Thank you so much

Tim drove 100 miles in 2 hours. At this rate, how many miles will he drive in 8 hours?

Answers

Answer:

400 miles

Step-by-step explanation:

2 hours = 100 miles

Therefore, he will drive 4 times the distance given 4 times the time taken.

=> 100 x 4

=> 400 miles

Answer:

if 100 mls = 2hrs therefore 8×100÷2=400

CSM Tech Publishing has added a branch office with about 50 users. The HR Department has given you a spreadsheet with the employee information that includes the employee name, office location, department, title, and so forth. Describe at least two different methods you can use to add these user accounts to Active Directory that don't involve manual creation of each account from scratch

Answers

The two (2) methods that can be used to add these user accounts to Active Directory are:

PowerShellBatch file

What is account management?

Account management can be defined as a process through which administrators store, manage, monitor and optimize a database (accounts) on a computer system, especially for improved performance, availability and security.

In a database management system (DBMS), when many user accounts require an action, it is often most efficient and effective for the administrator to use an automatic method to perform the action.

In this context, the two (2) methods that can be used to add these user accounts to Active Directory without a manual creation of each account from scratch include the following:

PowerShellBatch file

Read more on PowerShell here: https://brainly.com/question/4252986

DOK 4
Analyze the student's solution and write a sentence for each error the student has made. (A
[7-8]) *

Answers

Answer:

[tex]\log_{12}144=2[/tex]

Rewrite 144=[tex]12^{2}[/tex] in a different form:

[tex]\Downarrow[/tex]

[tex]\log_{12}144=2[/tex]

I hope this helps you

:)

87 pounds to 16 pounds

Answers

Answer:

In explanation.

Step-by-step explanation:

what are you exactly looking for here are some of my ideas.

How many pounds did it drop=?

from 87 to 16 pounds it dropped a total of 71 pounds.



what was the percent increase=?

The percentage of the pound increase is 81.6092.

you calculate this  bu - value 2 by value 1 the divided your answer with value 1 you then times that answer by 100.

Maybe the decimal form,written form,fraction form, of the awnser after you subtract.

decimal form is 0.71

written form is seventy one pounds.

fraction form=71/100 after subtract.

are any of these the things your looking for?

Hope it helps have a great day:)

[tex][Hello,BrainlyUser][/tex]

Are you try to find the percent of decrease?

If So, your answer is below;

Answer:

81.6

Step-by-step explanation:

↓ Formula ; Original value-New Value/Original Value * 100 ↓

⇒ 87-16/87 * 100

⇒ 71/87 * 100

⇒ 81.6091954023

⇒ Round; 81.6

Thus, Answer is 81.6

[CloudBreeze]

HELP ME!! The population of a city is modeled with the function P=250,000e^0.013t​, where t is the number of years since 2000. In what year will the population reach ​450,000?

Answers

Answer:

250,000e^0.013t, where t is the number of years since 2000. In what year will the population reach 450,000?

A printer wants to put 54 square inches of text into a rectangle on an 8 by 11 sheet of paper. She wants the text to be surrounded by a border of constant width. Which equation could be used to find the width of the border, x?

Please help I will give a lot of points.

Answers

By solving a quadratic equation, we will see that the border must measure 1 inch.

How to find the value of x?

The dimensions of the paper are 8 inches by 11 inches. If we have a border of width X all around the text, the dimensions of the text will be:

8 in - 2x by 11in - 2x.

The area of this rectangle will be:

A = (8 in - 2x)*(11in - 2x)

And we know that the area must be 54 square inches, then we need to solve:

54 in^2 =  (8 in - 2x)*(11in - 2x)

54 in^2 = 88 in^2 - (2x)*8in - (2x)*11in + 4x^2

54 in^2 = 88 in^2 - (38 in)*x + 4x^2

This is a quadratic equation, we can rewrite this as:

0 = 4x^2 - (38 in)*x + 88 in^2 - 54 in^2

0 = 4x^2 - (38 in)*x + 34 in^2

The solutions are given by Bhaskara's formula, these are:

[tex]x = \frac{-(-38 in) \pm \sqrt{(-38 in)^2 - 4*4*(34 in)^2} }{2*4} \\\\x = \frac{-(-38 in) \pm 30 in }{8} \\[/tex]

We only care for the solution that is on the wanted range, so we use the negative sign of the plus-minus sign.

x = (38 in - 30 in)/ = 1 in

So the border must measure 1 inch.

If you want to learn more about quadratic equations, you can read:

https://brainly.com/question/1214333

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