Am marking the brainliest. Please help me solve this mathematics question.

Am Marking The Brainliest. Please Help Me Solve This Mathematics Question.

Answers

Answer 1

Explanation:

Use the identity [tex]\sin{\theta} = 1 - \cos^2{\theta}[/tex] so we can write our equation as

[tex]6(1 - \cos^2{\theta}) - \cos{\theta} - 5 = 0[/tex]

or

[tex]6\cos^2{\theta} + \cos{\theta} - 1 = 0[/tex]

Let [tex]x = \cos{\theta}[/tex] so our equation becomes

[tex]6x^2 + x - 1 = 0[/tex]

Using the quadratic equation, we find that its roots are

[tex]x = \dfrac{-1 \pm \sqrt{(1)^2 - 4(6)(-1)}}{2(6)} = \dfrac{1}{3},\:-\dfrac{1}{2}[/tex]

which gives us

[tex]\cos{\theta} = \dfrac{1}{3} \Rightarrow \theta = 70.53°[/tex]

[tex]\cos{\theta} = -\dfrac{1}{2} \Rightarrow \theta = 120°[/tex]


Related Questions

URGENT. I NEED TO DO IT

Answers

Answer:

[tex]25x +10 \\ 25x \\ are \: the \: exprassion \\ thank \: you[/tex]

Answer:

2nd option and last option

Step-by-step explanation:

the first option is an equation: it has a solution.

the second option is an expression, and follows the criteria of an expression (can be made of co-effecients, symbols, operations, numbers, ect.), so it is one of our answers.

the third option is an equation since it has the equal sign, and thus, has a solution.

the fourth option is simply a number- a value. it does not fit as an equation (no solution) or an expression (can be made of co-effecients, symbols, operations, numbers, ect.)

lastly, our fith option is an expression. it is a coefficient (a multiplication problem between a known value and a variable). this is also one of our last answers.

1. If x = y and x + 2y = 6 then find value of 'y'.
I don know

Answers

hi <3

you can solve this by substituting one equation into the other.

in this case, it is more simple to substitute the first equation into the second, as it is already arranged into a simple format

so:

y + 2y = 6

now you can simplify:

3y = 6

divide both sides by 3 to get your answer:

y = 2

hope this helps <33

36 + 14 = 2(18+▯)
What factor is missing from the equation

Answers

It will be 7. If 2 times 18 it will equal to 36. U can like do 14 / 2 it will be 7. And to make sure 7 times 2 it will be 14. It should be the right answer

1=v/7-2 solve and right the equation of how u got that answer

Answers

Answer:

v = 21

Step-by-step explanation:

1 = v/7 - 2

~Add 2 to both sides

3 = 1/7v

~Multiply 7 to both sides

21 = v

Best of Luck!

Write an equation of the circle (6, -3) and radius 12.
This is my answer:
(x-6)^2 + (y+3)^2= 144
Is my answer correct? ^ means exponent

Answers

Answer:

(x-6)^2 + (y+3)^2= 144

Step-by-step explanation:

The equation of a circle can be written in the form

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

( x-6) ^2 + ( y--3)^2 = 12^2

(x-6)^2 + (y+3)^2= 144

Solve the following numerical problems. a. If a bus travels 6 km in 10 minutes, what distance does it travel in 1 secon

Answers

Answer:

10 meters

Step-by-step explanation:

Use the following conversions to answer the question.
60 seconds = 1 minute
60 minutes = 1 hour
24 hours = 1 day
How many minutes are there in a week?
A. 420
B. 1,400
C. 10,080
D. 604,800

Answers

Answer:

C. 10,080

Step-by-step explanation:

There are 60 minutes in an hour, therefore 60 * 24 = minutes in a day and, 60 * 24 * 7 = minutes in a week, so 60 * 24 = 1440. and 60* 24 * 7

1440 * 7 = 10080 minutes in a week.

C. 10,080

60•24=1,440
1,440•7=10,080

order these numbers in ascending order. -11, 11.8 9.42 ,10​

Answers

Answer:

-11,9.42,10,11.8

-11<9.42<10<11.8

Answer:

I think the answer is

-11, 9.24 ,10, 11.8

3 hundreds + 7 hundreds in standard form

Answers

1000 777 + 55 = 171 standard special

Add.

−5/6+(−2 5/8)

Enter your answer as a simplified fraction by filling in the boxes.

Answers

here’s your answer :)

Step-by-step explanation:

[tex] - \frac{5}{6} + ( - 2 \frac{5}{8} )[/tex]

[tex] = - \frac{5}{6} - \frac{21}{8} [/tex]

[tex] = \frac{ - 20 - 63}{24} [/tex]

[tex] = \frac{ - 83}{24} (ans)[/tex]

The difference of v and 5 is less then or equal to g?

Answers

Answer:

i can answer that if v and g were representing integers. if not, then then this can`t be solved

What are the solutions of the equation? X^2-16/25=0
x= 4/25 and x =-4/25
x = 8/25and x =-8/25
x = 16/25and x = -16/25
X =4/5 and x=-4/5

Answers

Answer:

x=4/5 ,x=-4/5

Step-by-step explanation:

Equation:

x²-16/25=0

x²=16/25

x=+-√16/25

x=+-4/5

Note:if you need to ask any question please let me know.

4. Triangle SRT is shown.
Session 1
104
9+
8+
77
6+
5+
S
4-
3+
T
2+
1+
R
0
2
3
4
6
7 8
9 10
Choose the correct equation or phrase to fill in each blank in the
paragraph. For each blank, fill in the bubble before the equation or
phrase that is correct.
The vertices of ASRT are S (1,4), R (2, 2) and T (1, 3). A reflection across
the line
[x = 4 x = 6 © y = -x + 5 y = -x + 6)
and then across the line
[ y = 6 y = 8 y = -x + 10
y = -x + 12) is the same as a translation of 4 units to the right and
4 units up because the lines are
[ congruent parallel
perpendicular similar).
0

Answers

Answer:

jeopardise is the shape for a new one and a half way back home from work answer to your friend request I think we will have a better deal than the other and it will probably be worth a few more weeks and more for free if marbles cost me a fortune in the proportion I have any more goal 6 to be do the amount best money we you any of our country on gara cha are in 7th July yu 28th yu38 and I will also have to pay for free diamond app and culture of your responsibility and to get the money back for the establishment that you obeserved want for your birthday so I the money for the money in my house telephoto and the money is going out for free ff and we have not book yet and I don't know what to 2nd look for at all of these and 3IBB on gar 2

HELP I NEED SOMBODEY HELP NOT JUST ANYONE JK HELP ME PLSSSSS

Answers

You cross multiply/butterfly method so 5•6= 30 and 5•8=40 so it would be 30/40 OR 3/4 simplified

please answer my question it's urgent​

Answers

a = 16

Solution:common ratio = (-1/8)/(1/16)=-2

a1 = 1/6

n=9

an = a1 (r n-1)a9 = a1

a9 = 1/16 (-2 9-1)

a9 = 1/16 (-28)

a9 = 1/16 (256)

a9 = 16

I hope this helps :)

if demand function is Qd=150+10p and supply function is Qs=300-2p, find the equilibrium price.​

Answers

Answer:

[tex] qd = qs[/tex]

150+10p=300-2p

10p+2p=300-150

Step-by-step explanation:

12p=150

P=150÷12

P=12.5

The equilibrium price is 12.5 or 13

evaluate the expression when b=5

Answers

Answer:

9.    [tex]35^{2}[/tex] or 1225

12.    [tex]15^{2}[/tex]  or  225

Step-by-step explanation:

Put 5 instead of b

9.   [tex](7b)^{2}[/tex]

   = [tex](7 * 5)^{2}[/tex]

  = [tex]35^{2}[/tex] or 1225

12.  [tex](3b)^{2}[/tex]

    = [tex]( 3 * 5)^{2}[/tex]

    = [tex]15^{2}[/tex]  or  225

   

Đại số tuyến tính sinh viên

Answers

Answer:

si

Step-by-step explanation:


Shellie buys a loaf of bread fo $2.99, a gallon of milk for $3.49, and a pack of
lunchmeat for $5.99. The sales tax is 8%. How much will Shellie's total bill be,
including the sales tax? Round your answer to the nearest cent.

Answers

Answer:

$13.47

Step-by-step explanation:

2.99 + 3.49 +5.99 + 12.47.

12.47 x 0.08 = 1.

12.47  + 1 = 13.47

This is the only one I’m stuck onnn omg

Answers

The answer is -7

Explanation
A plus and minus equal to minus
So it is -3 -4 which is equal to -7

The normal blood glucose level is between 70 mg/dL and 130 mg/dL. Write a compound inequality to represent the values at which blood glucose is not normal.

Answers

Let the input be x

x is greater than or equal to 70mg/dl.x is less than or equal to 130mg/dl.

[tex]\\ \rm\Rrightarrow x\geqslant 70mg/dl[/tex]

[tex]\\ \rm\Rrightarrow x\leqslant 130mg/dl[/tex]

Now

[tex]\\ \rm\Rrightarrow 70mg/dl\leqslant x\leqslant 130mg/dl[/tex]

Or

[tex]\\ \rm\Rrightarrow 130mg/dl\geqslant x\geqslant 70mg/dl[/tex]

Answer:

70 ≤ x ≤ 130

130 ≥ x ≥ 70

Step-by-step explanation:

We know that a persons glucose level can only be equal to or between 70 and 130 mg/dL. We can create an inequality to represent this;

70 < x < 130

This means that anything in between will work but anything less or more will not. You can also write this inequality as 130 > x > 70.

In word form you would say this:

A humans glucose level can only be more than or equal to 70 and less than or equal to 130.

Best of Luck!

the density of oxygen is 0.0001429 grams per cubic centimeter.how is this number written in scientific notation?

Answers

its 1.429 x10^-4 grams per cubic cm

A bag contains 170 marbles. There are red, blue and yellow marbles in a ratio of 9:3:5. How many yellow marbles does the bag contain?

Answers

Answer:

50 yellow marbles.

Step-by-step explanation:

Information:

170 marbles

RED : BLUE : YELLOW

9 : 3 : 5

Solving:

To find out how many yellow parts there are, we need to find out how many marbles 5 parts account to.

Altogether, 9 + 3 + 5 = 17. This means there are 17 parts.

The bag contains 170 marbles and the ratio adds up to 17 parts.

We can figure out what 1 part of the ratio accounts to by dividing 170 by 17.

[tex]\frac{170}{17}[/tex] = 10.

1 part = 10

Now remember yellow is 5 parts, now that we know that 1 part is 10, we need to multiply 10 by 5 to find out how many yellow marbles we have.

5 x 10 = 50.

Therefore we have 50 yellow marbles.

The number of yellow marbles in the bag is 50

Ratio shows the relationship among numbers. Ratio is the frequency a value is contained in other values.  For example, if the ratio of boys to girls in a class is 2:1. It means that there are twice as many boys in the class as there are boys.

In order to determine the number of yellow marbles in the bag, express the ratio of the yellow marbles as the sum of the total ratio and multiply by the total number of marbles in the bag.

Number of yellow marbles = (ratio of yellow marbles / sum of ratios) x total number of marbles

Sum of ratios = 9 + 3 + 5 = 17

(5 / 17) x 170 = 50 marbles.

To learn more about ratios, please check: https://brainly.com/question/19257327?referrer=searchResults

Consider the following expression

Answers

I think that the anwser is probably 10.6

HELP ME HELP ME

What is the slope of the line?

Answers

I think it is - 1/2
Or it could be 1/2 I am not that sure
Someone correct me if I am wrong
But I think it is - 1/2

Supplementary angles are pairs of angles whose measures total 180º. Determine the measure of
supplementary to an angle with a measure of 92°

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

88°

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

As mentioned in the question, supplementary angles add up to 180°.

⸻⸻⸻⸻

[tex]\boxed{\text{Setting Up An Equation...}}\\\\a + 92 = 180\\----------\\ a - \text{Unknown angle measure.}\\----------\\\rightarrow a + 92 - 92 = 180 - 92\\\\\rightarrow \boxed{ a = 88}[/tex]

⸻⸻⸻⸻

The unknown angle measurement should be 88°.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.

what fraction of the Earth's surface would be covered by the surface of the moon,if the radius of the Earth is 6,378km and the radius of the moon is 1.741km?​

Answers

Answer:

3031081 / 40678884

Step-by-step explanation:

To solve this, we can find the surface area of the moon and Earth, and then see how much the moon covers the Earth. The surface area of a sphere is equal to 4πr², so the radius of the Earth is

4πr² = 4 * π * 6378²

and the radius of the moon is

4πr² = 4 * π * 1741²

To figure out how much of the Earth's surface that the moon covers, we can implement a ratio of moons:Earth. This will give us an understanding of how many moons go inside one Earth. We thus have

(4 * π * 1741²) : ( 4 * π * 6378²) = (4 * π * 1741²) / ( 4 * π * 6378²)

cross out the 4 * π in the numerator and denominator

1741²/6378²

Next, we want to make the denominator 1, as that gives us 1 Earth. To do this, we can divide both the numerator and denominator by 6378². Because we are applying the same expression to both the numerator and denominator, this is essentially multiplying the fraction by 1, keeping it the same. We thus have

(1741²/6378²)/(6378²/6378²)

≈0.0745/1

≈ 0.0745

To put this in a fraction, we would have

(1741²/6378²)/1

= (1741²/6378²)

= 3031081 / 40678884

WRITE Math Consider 7 X 10 x 10 x 10 x 10.
Write a pattern to find the value of the expression.

Answers

Answer:

I dont know if I'm wrong but I think its

Step-by-step explanation:

7×10=70

70×10=700

700×10=7000

7000×10=70000

I MIGHT BE WRONG AND IF I AM IM SORRY

the result of a multiplication of two or more
terms

Answers

Answer:

Product

Step-by-step explanation:

Product is the result of a multiplication of two or more terms.

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

B=Product

C=polynominal

D=distirbutive property

Step-by-step explanation:

what is integration....​

Answers

the action or process of integrating
blending , fusing , inclusion
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