Can any kind soul help me please​

Can Any Kind Soul Help Me Please

Answers

Answer 1

Answer:

[tex] \displaystyle \theta = - {41.8}^{ \circ} + 2n\pi, {210}^{ \circ} + 2n\pi , {221.8}^{ \circ} +2nπ , {330}^{ \circ} +2nπ [/tex]

Step-by-step explanation:

we would like to solve the following trigonometric equation:

[tex] \displaystyle 6 { \sin}^{2} ( \theta) + 7 \sin( \theta) + 2 = 0[/tex]

to do so we can let sinθ be u so it'll be easier to solve:

[tex] \displaystyle 6 { u}^{2} + 7 u + 2 = 0[/tex]

to notice is that it's a quadratic equation to solve the equation we can consider factoring method in this method we rewrite the middle term as sum or substraction of two different terms in that case 3u+4u can be mentioned:

[tex] \displaystyle 6 { u}^{2} +3u + 4u + 2 = 0[/tex]

(continuing the method) well we can factor out the common terms and that yields:

[tex] \displaystyle 3u(2 { u}^{} +1) + 2(2u + 1)= 0[/tex]

group:

[tex] \displaystyle (3u+ 2)(2u + 1)= 0[/tex]

by Zero product property we acquire:

[tex] \begin{cases}\displaystyle 3u+ 2 = 0 \\ 2u + 1= 0 \end{cases}[/tex]

solve the equation for u:

[tex] \begin{cases}\displaystyle u = - \frac{2}{3} \\ \\ u= - \dfrac{1}{2} \end{cases}[/tex]

substitute back:

[tex] \begin{cases}\displaystyle \sin( \theta) = - \frac{2}{3} \\ \\ \sin( \theta) = - \dfrac{1}{2} \end{cases}[/tex]

take inverse trig in both sides and that yields:

[tex] \begin{cases}\displaystyle \theta = - {41.8}^{ \circ}, {221.8}^{ \circ} \\ \\ \theta = {210}^{ \circ} , {330}^{ \circ} \end{cases}[/tex]

add period of 2nπ:

[tex] \displaystyle \theta = - {41.8}^{ \circ} + 2n\pi, {210}^{ \circ} + 2n\pi , {221.8}^{ \circ} +2nπ , {330}^{ \circ} +2nπ [/tex]

and we're done!


Related Questions

The weight of an object on the moon is
1/6 of its weight on Earth. If a moon rock
weighs 20.5 lb on Earth, how much did
the moon rock weigh on the moon?

Answers

Answer:

1/6 = 0.16 = 16%

restate the question: 16% of 20.5 is what? multiply: 20.5*.16 = 3.28 now, to find the weight of the object on the moon, subtract 16% from 20.5. 16% of 20.5 is 3.28 20.5-3.28 = 17.22 = 17 22/100 = 17 11/50

the weight of the object is 17 11/50 pounds on the moon.

Enter the repeating digit:

[tex] \frac{2 }{3} = 0. \frac{?}{?} [/tex]

Answers

Answer:0.6666...

Step-by-step explanation:

Dividing

Good Afternoon I am really stuck on this question whoever solves it I will give them brainliest with no unacceptable question thank you so much!

Answers

Answer:

Card picked=2

P(factors of 28)={1,2,4,7,14,28}

total cards=4

in percentage=4 x 20 + 20

80+20=100

Therefore 2 in percentage will be

2 x 20 + 20

=40+20=60%

-2 (x+5):4
Pliss es para hoy

Answers

I don't know how you want it solved but, I am giving u -2 I hope this helps

There is 10% salt solution and a 30% salt solution. How much of each is needed to make 10L mixture that is 25% salt solution?

Answers

Answer:

2.5L of 10% salt solution and 7.5L of the 30% salt solution

Step-by-step explanation:

let the amount of L in the 10% solution be 'x'

let the amount of L in the 30% solution be '10-x'

* because they add up to a total of 10L

10%(x) + 30%(10-x) = 25%(10)

0.1x + 3 - 0.3x = 2.5

-0.2x = -0.5

x = 2.5

x =2.5

10-x = 7.5

2.5 of 10% solution and 7.5% of 30% solution

Pls help me ! L need help here

Answers

Answer:

H. 40 inches

Step-by-step explanation:

On Wednesday, he is 40 inches taller. ... That would make 5 days of growth, for 100 inches. But this is only 3 days therefore he would grow 40 inches taller

Please rewrite in simplest radical form (the problem in the photo below). Show each step of the process and explain what you did. Thank you for your time.

Answers

Answer:

√x

Step-by-step explanation:

1/(x^(-3/6)

= x^(3/6)

= x^(1/2)

= √x

7. In which step does a mistake first occur?
8 + 2 + (3 X 3 -2)
Step 1: 8 +2 + (3 x 1)
Step 2: 8 +2 + 3
Step 3: 4 + 3
Step 4: 7

Answers

Answer:

17

Step-by-step explanation:

8+2+(3×3-2)=8+2+(9-2)=8+2+7=17

mistake in the first step

firstly we do × and ÷

then + and -

f(x) = x2. What is g(x)?

Answers

Answer:

g(x) = [tex](\frac{x}{3})^2[/tex] which is A.

Step-by-step explanation:

I did this before. You have to trust me.

1)2x(3x^2-2x+1)
2)4x(1-x-3x)

Answers

The answer is
2nd one

Answer:

1. 3x^3 - 2x^2 - x

2. -4x^2 + x

Step-by-step explanation:

help pllsssssssssssss

Answers

Answer:

abcd is a quadrilateral

so , d is ( -1,4 )

c is ( 0,-4 )

b is ( 0,-2)

and

a is ( 2,-2 )

Please help me solve this short problem today is my last day to complete these

Answers

Answer:

shift of 1 unit to the right

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Given the parent function is y = x² , then

y = (x - 1)² is a shift to the left of 1 unit of the parent function

18. PLEASE HELP ME
Solve the equation using square roots.

x2 – 14 = –10

A. ±2

B. 2

C. no real number solutions

D. ±4

Answers

9514 1404 393

Answer:

  A.  x = ±2

Step-by-step explanation:

Add 14, then take the square root.

  x^2 -14 +14 = -10 +14

  x^2 = 4

  x = ±√4

  x = ±2

Answer:

A

Step-by-step explanation:

X^2-14=-10

X^2=14-10

X^2=4

√X2=√4

X=±2

Find the value of x to the nearest tenth.

Answers

Answer:

x = 7.8

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 2^2 = c^2

16 + 4 = c^2

c^2 = 20

c = 4.5

a^2 + b^2 = c^2

a^2 + 4.5^2 = 9^2

a^2 + 20.25 = 81

a^2 = 81 - 20.25

a^2 = 60.75

a = 7.8

Answer:

Step-by-step explanation:

Using Pythagoreus Theorem

In the smaller rectangle

2²+4² = h²

20 = h²

h = √20

h = 2√5

Therefore two sides of the rectangle will 2√5

No using pythagoreus theorem in the bigger triangle

x² + (2√5)² = 9²

x² = 9² - (2√5)²

x² = 81 - 20

x = √61

x = 7.8102496759

When rounded off to nearest tenth the hundreth digit is in 0-5 range

x = 7.81

Please click thanks and mark brainliest if you like

Comparing Distance
Is there a relationship between the distance and the sum? Is there a relationship between the distance and the difference?

A 5-column table with 3 rows. Column 1 is labeled a with entries 1, 4, negative 6. Column 2 is labeled b with entries 2, negative 1, negative 3. Column 3 is labeled a + b with entries 3, 3, negative 9. Column 4 is labeled a minus b with entries negative 1, 5, negative 3. Column 5 is labeled Distance with entries 1 unit, 5 units, 3 units.

Which describes the relationship between the distance and the difference?
The distance is always the opposite of the difference.
The distance is exactly the difference.
The distance is the absolute value of the difference.
The distance is not related to difference.
NEED HELP FOR EDGUNITY

Answers

Answer:

C. The distance is the absolute value of the difference.

Step-by-step explanation:

See the table made based on the given values.

It is easy to note that the numbers in the distance column are same as numbers in the a - b column but all numbers being positive.

So we can say that:

distance = |a - b|

Correct choice is C

If f(x)=x^2-11, for what values of z is f(x) < 25?
a) -6 < x
b) x < 6
c) x ≤ -6 or x ≥ 6
d) -6 < x < 6

Answers

Answer:

D

Step-by-step explanation:

f(x) < 25

- 11 < 25

< 36

-6 < x < 6

There are 38 chocolates in a box, all identically shaped. There are 8 filled with nuts, 16 with caramel, and 14 are solid chocolate. You randomly select one piece, eat it and then select a second piece. Find the probability of selecting 2 solid chocolate in a row

Answers

Answer:

0.1294

Step-by-step explanation:

Number of chocolates in box = 38

Number of nuts = 8

Number of caramel = 16

Number of solid chocolate = 14

Since 2 are selected in a row and not replaced, then;

Probability of first being solid chocolate = 14/38

Probability of second being solid chocolate after first one = 13/37

Thus;

P(2 selected in a row being solid chocolate) = 14/38 × 13/37 = 0.1294

Pls help I am giving brainliest help me ASaP

Answers

Answer:

4

Step-by-step explanation:

4 because 4^2 = 16.

The statements below can be used to prove that the triangles are similar. On a coordinate plane, right triangles A B C and X Y Z are shown. Y Z is 3 units long and B C is 6 units long. StartFraction A B Over X Y EndFraction = StartFraction 4 Over 2 EndFraction ? StartFraction A C Over X Z EndFraction = StartFraction StartRoot 52 EndRoot Over StartRoot 13 EndRoot EndFraction △ABC ~ △XYZ by the SSS similarity theorem. Which mathematical statement is missing?

Answers

Answer: c. BC/YZ=6/3

Step-by-step explanation:

trust

Answer: The answer is C. BC/YZ = 6/3

Step-by-step explanation:

Got it right on edge 2023

An analysis of variances produces dftotal = 29 and dfwithin = 27. For this analysis, what is dfbetween?

Answers

The answer is that the dfwithin is 28

What is the common difference for this arithmetic sequence?
54, 50, 46, 42, 38, ...

Answers

Answer:

B. 4

Step-by-step explanation:

54 - 4 = 50

50 - 4 = 46

46 - 4 = 42

42 - 4 = 38

Answer: D. -4

Step-by-step explanation: took the quiz and got it right.

please help me asap ​

Answers

Answer:

Does the answer help you?

13. Classify the following number. (Select all that apply) *
-10
Natural
Whole
Integer
Rational
Irrational

Answers

Answer:

-natural

-whole

-integer

-rational

Brainliest is very much appreciated! :)

Find the surface area of the cube shown below.
units?
2 1/2


Answers

Answer:

SA = 37.5 units^2

Step-by-step explanation:

2 1/2 = 2.5

the Surface Area of the cube

SA = 6a^2

SA = 6(2.5)^2

SA = 6(6.25)

SA = 37.5 units^2

Which type of option helps the importer to hedge risks of exchange rate? A. Put option B. All names are not correct c. Call option d. Call option and put option

Answers

Answer:

Call option and put option ( D )

Step-by-step explanation:

During hedging in stock/financial markets both the Call and put option can be used to hedge the trading position of the trader against the change in exchange. This is because the call or put option is used depending on the initial position of the trader.

Call option is used when the trader is currently holding a short position

Put option is used when the trader is currently holding a long position

6. Alex and Brian park their bikes side-by-side. Alex leaves to visit friends, and Brian leaves 30 minutes later,
headed for the same destination. Alex pedals 5 miles per hour slower than Brian. After 1 hour, Brian passes Alex. At
what speed are they each pedaling?

Answers

Answer:

See below.

Step-by-step explanation:

When Brian passes Alex they both have travelled the same distance.

Call this distance d.

Let the speed that Brian passes = x miles/hour.

Distance = speed * time  so:

For Alex:

d = (x - 5) * 1.5        ( Alex cycles for 1 + 30 minutes =  1.5 hours)

For Brian:

d = x * 1

So substituting d = x in Alex's equation:

x = 1.5(x - 5)

x = 1.5x - 7.5

7.5 = 0.5x

7/5 / 0.5 = x

15 = x.

ANSWER:

Brian's speed is 15 miles/hour.

Alex's speed is 15 - 5 = 10 miles/hour.

Write the equation of the circle in standard form with the center located at
(-2, 5) and radius of 3.

Answers

Answer:

(x+2)^2 + (y-5)^2 = 9

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

(x- -2)^2 + (y-5)^2 = 3^2

(x+2)^2 + (y-5)^2 = 9

Find the missing length.

Answers

Answer:

[tex]\frac{12}{16} =\frac{16-x}{12}[/tex] → [tex]144=256-16x[/tex]

[tex]16x=256-144[/tex]

[tex]16x=112[/tex] → [tex]x=7[/tex]

OAmalOHopeO

Số nghiệm của pt | 2x-3| - | 3x+2|=0 là?

Answers

Answer:

2 solutions

Step-by-step explanat

ion:|2x-3|-|3x-2|=0

<=>|2x-3|=|3x-2|

<=>2x-3=3x-2

Or 2x-3=-3x+2

<=>2x-3x=-2+3

or 2x+3x=2+3

<=>x=-1

Or x=1

Guys please help me solve this I’m struggling

Answers

Answer:

[tex]Max\ z = 1[/tex]

[tex]Min\ z = -9[/tex]

Step-by-step explanation:

Given

[tex]z = 4x + 5y[/tex]

[tex]x \ge -1[/tex]

[tex]y \le 2x +3[/tex]

[tex]y \le -1[/tex]

Required

The maximum and minimum of z

To do this, we make use of the graphical method

See attachment for graphs of

[tex]x \ge -1[/tex]

[tex]y \le 2x +3[/tex]

[tex]y \le -1[/tex]

The corner points of the function are:

[tex](x,y) = (-1,1)[/tex]

[tex](x,y) = (-1,0)[/tex]

[tex](x,y) = (-1,-1)[/tex]

We have:

[tex]z = 4x + 5y[/tex]

Calculate z with  the above values

[tex]z = 4(-1) + 5(1) = 1[/tex]

[tex]z = 4(-1) + 5(0) = -4[/tex]

[tex]z = 4(-1) + 5(-1) = -9[/tex]

So, we have:

[tex]Max\ z = 1[/tex]

[tex]Min\ z = -9[/tex]

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