if cosØ=1/6 what are the values of sinØ and tanØ?

Answers

Answer 1

Answer:

Step-by-step explanation:

cos theta = (adjacent side) / (hypotenuse) = 1/6.  The adjacent side has length 1 and the hypotenuse length 6.  The opposite side has length

√(6^2 - 1^2) = ÷√35

and so sin theta = (opp side) / (hypotenuse) = (√35) / 6

and tan theta = [(√35) / 6] / (1/6), or √35


Related Questions

Is gram equal to mole?

Answers

No, 1 gram is not equal to 1 mole. The numerical values of mole and gram are different for an object.

What is 1 gram?

Avogadro number of atoms makes up one mole. It is possible to convert a mole into grams if you know the mole quantity.

Mole: The International System of Units uses the mole (symbol: mol) as the unit of material quantity. How many elementary entities of a particular substance are present in an object or sample is determined by the quantity of that material. It is specified that the mole contains exactly 6.02214076×10²³ elementary entities.

The relation between  gram  and mole is

1 gram = Mole × atomic weight.

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Can someone confirm if I am correct or not?

Answers

Answer:

You are in fact correct

Step-by-step explanation:

mark brainliest plss

Answer:

yes

Step-by-step explanation:

HELP ASAP PLS 50!!!!
Identify or mark the missing side or angle that would make triangle ABC a congruent to triangle PDF by SAS

Answers

Answer:

AC = PF

Step-by-step explanation:

please help mee!!Will mark brainlyist if right:)

Answers

Answer:

[tex]opposite \approx 147[/tex]

Step-by-step explanation:

To solve this problem one can use the trigonometric ratios, these ratios are the following,

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

In this problem, one is given the adjacent side, and is asked to find the opposite side, thus use the function ([tex]tan[/tex]). Substitute in the given value and solve,

[tex]tan(52)=\frac{opposite}{115}[/tex]

Inverse operations,

[tex]115(tan(52))=opposite[/tex]

Solve,

[tex]147 \approx opposite[/tex]

Solve: 51 ÷ [(-15) + (-2)

Answers

Dude at the top correct

What is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0)?

Answers

The equation of a parabola that intersects the x-axis at points (-1, 0) and

(3, 0) is y = x² - 2x - 3.

What is a parabola?

An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola.

Since the parabola intersects x-axis at points (-1,0) and (3,0), the parabola has its axis parallel to y-axis.

The general equation for such parabola is,

y = ax² + bx + c

The roots of the quadratic equation is found when y = 0

We know that when y = 0, x = -1 , 3

So (x+1) (x - 3) = 0

Solving the above equation we can find the equation of parabola

x² - 3x + x -3 = y

Therefore y = x² - 2x- 3 is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0).

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Simplify the below expression.

Answers

Step-by-step explanation:

3^0=1

3^2=9

[tex] \frac{1}{9} [/tex]

plz mark as brainliest

Answer:

1/9

Step-by-step explanation:

When dividing terms with exponents, you subtract the exponents.

3⁰/3² = 3⁰⁻² = 3⁻² = 1/9

Therefore, the simplified expression is 1/9.

Sarah competes in a long jump competition.
Her first jump is 4.25m
Her best jump is 12% more than this
However her best jump is 15% lower than the winning jump
Work out the length of the winning jump

Answers

Answer: 5.474 m

Step-by-step explanation:

first jump = 4.25

best jump = first jump * 1.12

winning jump = best jump *1.15

You are standing 10 feet away from a tree. There is a cat up in the tree. Your eyes make
a 48 degree angle to look up at the cat. How high is the cat?

Answers

Answer:

11.1 feet

Step-by-step explanation:

person = B  cat = C

                                          C

                                      /    |

                   /                       |     x

B /_48]________ ______|

              |____10ft____|

since we know the adjacent side but want the opposite side, we can use tan(angle)=opp/adj to solve.  (make sure to be in degrees lol)

tangent ( 48) = x/10

10 * tan(48) = x

11.1 = x

The cat is 11.1 feet high.

you do mot have to exsplain the answer i just wat the correct answer
no links please

Answers

Answer:

144

Step-by-step explanation:

I need help.
The truth is, I don't know why the Brainly appears in English, if I needed it in Spanish. So, homework is in Spanish. I really need the help because I'm very behind in math. Thanks. And sorry for the horrible traduction. I'm so bad at english.

Answers

Answer:

Hey you can login in Spain Server if you find difficulty here



The shapes below are mathematically similar
Not drawn
to scale
8 cm
9 cm
12 cm
Calculate the length of side x.​

Answers

Answer:

I think it is 9 cm

Step-by-step explanation:

Your neighbor pays you $17 for every two hours of work how many hours do you work if you earn $42.50

Answers

Answer:

To find the number of hours you work, you need to set up an equation using the information given. Let's say that the number of hours you work is x. The equation would be:

17(x/2) = 42.50

The parentheses around x/2 indicate that the division should be done before the multiplication. So, x/2 = 2.5. Multiplying both sides of the equation by 2 gives us:

x = 5

So, you work 5 hours.

Step-by-step explanation:

So, we know that you earn $17 per 2 hours. We also know that we earned $42.50. Now, we just need to find the hours! We can do this by using a cross multiply.

$17 is directly correlated to 2 hours of work. Therefore, to find the hourly wage we should divide it by 2:

   $8.5 = 1 hour

$42.50 = x hours?

Now cross multiply:

$8.5x = $42.50

x = 5 hours

Therefore, your answer is 5 hours!

Hope this helps!

seven pounds of fertilizer can cover 1400 square feet.canbe covered by 2 pounds of fertilizer

Answers

The area for 2 pounds of fertilizer is 400 square feet

How to determine the amount of fertilizer for 2 pounds?

From the question, we have the following parameters that can be used in our computation:

seven pounds of fertilizer can cover 1400 square feet

This means that

7 pounds of fertilizer = 1400 square feet

Divide both sides of the equation by 7

So, we have the following representation

1 pounds of fertilizer = 200 square feet

Multiply both sides of the equation by 2

So, we have the following representation

2 pounds of fertilizer = 400 square feet

Hence, the area is 400 square feet

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For questions 8 and 9, determine if S could lie on the perpendicular bisector of QR with the

given coordinates.

8. Q(-5, -1), R(3, 7), S(4,-2)

9. Q(-5, 4), R(8. -3), S(-2. -5)

Answers

Yes S lies as the perpendicular bisector as asked in the question .

The distance is calculated with the use of distance formula,

d = √( x2 - x1 )² + ( y2 - y1 )²

Now , we are suppose to calculate the distance between the points S and R, given their values are ,

S=(4,-2) and

R=(3,7)

Using distance formula ,

d = √( 3 - 4 )² + ( 7 - (-2))²

d =  √ 1 + 81

=  √82

Now, the distance between Q and S can be found as ,

Q=(-5,-1)

S=(4,-2)

d = d = √(4 + 5)² + ( -2 + 1)²

d =  √ 81 + 1

=  √82

As the distance between the two ends of the segment and the point S is the same, the point S must lie on the perpendicular bisector of QR, according to the perpendicular bisector theorem.

For question number 9 the distance between Q and S are,

Q=(-5,4)

S=(-2,-5)

d = √( -2 -5)² + ( 5 - 4)²

d =  √ 9 + 1

=  √10

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Jon invested $5,000 dollars into an account with an interest rate of 15% compounded continuously. Approximately how long will it take the investment to triple? A=P(1±rn)nt Group of answer choices

Answers

10,000 = 5,000(1+0.15)^x

2 = (1.15)^x

logbase(1.15) of 2 = x

x = ~4.96

The time for it take the investment to triple will be 8 years.

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

The principal amount = $5,000

The interest rate = 15%

The total amount after x years = 3 x $5,000

                                               = $15,000

Now,

We know that, the formulate for total amount is,

⇒ [tex]A = P (1 + r)^x[/tex]

Substitute all the values we get;

⇒ [tex]A = P (1 + r)^x[/tex]

⇒ 15,000 = 5,000 (1 + 0.15)ˣ

⇒ 3 = (1.15)ˣ

Take log,

⇒ log 3 = x log 1.15

⇒ 0.47 = x × 0.06

⇒ x = 8 years

Thus, The time for it take the investment to triple will be 8 years.

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You have $9 to spend on lip balm and hand sanitizer. The equation $1.5x+2.5y=9$ represents this situation, where x is tubes of lip balm and y is bottles of hand sanitizer. How many tubes of lip balm can you buy when you do not buy any bottles of hand sanitizer?

Answers

Answer:

6 tubes of lip balm

Step-by-step explanation:

We can start solving this problem by isolating the variable x.

Given the equation 1.5x + 2.5y = 9, and we know that y = 0 (because we're not buying any bottles of hand sanitizer), we can substitute this into the equation:

1.5x + 2.5(0) = 9

Simplifying this, we get:

1.5x = 9

To solve for x, we can divide both sides of the equation by 1.5:

x = 9/1.5

x = 6

So we can buy 6 tubes of lip balm if we do not buy any bottles of hand sanitizer

If the simple interest on a sum of a money invested at 3. 5% per annum for 44 years is birr 420, find the principal​

Answers

As per the given simple interest, the principal amount is $165.35.

The term simple interest in math is defined as  the interest charge on borrowing that's calculated using an original principal amount only and an interest rate that never changes.

Here we have given that If the simple interest on a sum of a money invested at 3. 5% per annum for 44 years is birr 420.

Therefore, through the given question we have identified the value of

interest rate = 3.5%

time period = 44

sum amount = 420.

Then the principal amount is calculated by using the formula of simple interest as,

P = A / (1 + rt)

Here first we have to convert R percent to r a decimal, then we get

r = R/100 = 3.5%/100 = 0.035 per year.

Now, we have to apply the values on the equation and then we have to solve our equation, then we get

P = 420 / ( 1 + (0.035 × 44)) = 165.35433070866

P = $165.35

Therefore, the principal investment required to get a total amount, principal plus interest, of $420.00 from simple interest at a rate of 3.5% per year for 44 years is $165.35.

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Find the area. Simplify your answer.

Answers

Area of a rectangle equals length times width
2x *3x

First you multiply the numbers
2*3=6

Then you multiply the variable
x*x=x^2

Area =6x^2

Find the values of x and y.

Answers

The values of x and y, given the angles, can be found to be :

x = 13y = 20

How to find the values of x and y ?

The parallel line is drawn such that ( 7 y - 12 ) degrees and ( 6 y + 8 ) degrees are equal to each other.

In the same vein, 4x degrees and 6x - 26 degrees are the same as well. This is because they are vertical angles.

The value of x is:

4x = 6x - 26

6x - 4 x = 26

2x = 26

x = 26 / 2

x = 13

The value of y is :
7 y - 12 = 6 y + 8

7y - 6 y = 8 + 12

y = 20

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Please I need help on this problem

Answers

Answer:

148

Step-by-step explanation:

180 is the whole thing and if the inner of one is 16 then the other one is also 16 so u add this and subtract 180-32=148

(16+16=32)

Answer:

C. x=42

Step-by-step explanation:

First find the measurement of missing angles. 126+16=142

180-142=38

Now, 16, 3x and 38 should add up to 180 because it is a line.

16+38+3x=180

54+3x=180

Solve for x.

3x=126

3 = 3

x=42. Hope this helps.

Amy operates a coffee kiosk and is blending her special house coffee. She is mixing Kenya beans that cost $9. 00 per pound with Colombia

beans that cost $7. 50 per pound to create a 30 pound blend that sells for $8. 50 per pound. How many pounds of Kenya beans and how many

pounds of Colombia beans does Amy need to use to create her blend?

Answers

So Amy needs to use 2 pounds of Colombia beans and 32 pounds of Kenya beans to create her blend.

Define Unitary Method.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

What is direct and indirect variation in the unitary method?

We are aware that an inverse variation or indirect variation occurs when two values are coupled in a way that a rise in one generates a corresponding reduction in the other, and vice versa.

Let x be the number of pounds of Kenya beans and y be the number of pounds of Colombia beans. We know that:

x + y = 30 (since the blend is 30 pounds)

We also know that the blend sells for $8.50 per pound, so the total cost of the blend is:

8.50(x + y) = 8.50(30) = $255

We know that the cost of the Kenya beans is $9.00 per pound and the cost of the Colombia beans is $7.50 per pound, so the total cost of the Kenya beans is:

9.00x and the total cost of the Colombia beans is 7.50y

We can set up the following equation:

9x + 7.5y = 255

We have 2 equations and 2 variables, we can solve this system of equation by different methods, one of them is substitution:

x + y = 30

9x + 7.5y = 255

We can substitute the first equation into the second equation

9(x + y) + 7.5y = 255

9(30) + 7.5y = 255

270 + 7.5y = 255

7.5y = -15

y = -2

So Amy needs to use 2 pounds of Colombia beans. We can substitute that value into the first equation to find the amount of Kenya beans:

x + (-2) = 30

x = 32

So Amy needs to use 32 pounds of Kenya beans.

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if you shift the linear parent function, f(x)=x, left 14 units, what is the equation of the new function

Answers

Answer: This is a horizontal translation so, the equation is f(x) = (x + 5). Whenever you translate to the right it is negative

Step-by-step explanation:

Which of the statements best describe the origin on the coordinate system?
1. The X and y-axes intersect at the origin.
Il. The origin is the distance from right to left.
III. The point, (0.0). is the ordered pair at the origin.
IV. The origin is the distance from top to bottom

Answers

Answer:

The point, (0.0). is the ordered pair at the origin.

Step-by-step explanation:

I need help on this question. I dont understand it.

Answers

a. The system of equations is given as follows:

35x = 15 + 32x.

The solution is given as follows:

x = 5.

b. The meaning of the solution is that the cost to purchase 5 jackets in each company is the same.

c. Gabriela should choose Anastasia's Monogram, as the function has a lower numeric value when x = 10.

How to model the situation?

The cost per jacket for each company is constant, hence a linear function is used to model the situation.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

m is the slope, representing the cost paid per each jacket.b is the y-intercept, representing the design fee, which is a one-time payment.

Hence the functions for each company are given as follows:

Anastasias's Monograms: y = 15 + 32x.Monograms Unlimited: y = 35x.

The system of equations is used to find when both will have the same cost, as follows:

35x = 32x + 15

3x = 15

x = 5 jackets.

For 10 jackets, the costs are given as follows:

Anastasias's Monograms: y = 15 + 32(10) = $335 -> lower cost.Monograms Unlimited: y = 35(10) = $350.

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Giving brainlist to whoever answers

Answers

Answer:

19 ( i think)

Step-by-step explanation:

1/8*(5/5)= 5/40

2/5*(8/8)= 16/40

16/40 + 5/40 =21/40

40-21= 19

Answer:

19 houses

Step-by-step explanation:

Sara is building a garden box to plant flowers. For which measurement would she need to find the area?

Answers

Answer:

A

Step-by-step explanation:

Answer: B: the length of the wooden sides of the garden box

Step-by-step explanation:

because if she is going to plant flowers she will need to know how big the box she would need for her plants

Is x 3 a factor of the polynomial x^3 3x^2 4x 12?

Answers

(x - 3) is a factor of the polynomial f(x) = x³ - 3x² + 4x - 12 since f(3) = 0.

To solve the problem, recall the factor theorem.

Factor Theorem states that if we have a polynomial f(x) and if (x - a) is a factor of f(x), then f(a) = 0

The given function is:

f(x) = x³ - 3x² + 4x - 12

To see whether x - 3 is a factor of f(x) = x³ - 3x² + 4x - 12, we need to find f(3).

Substitute x = 3 into f(x):

f(3) =3³ - 3(3)² + 4(3) - 12

f(3) = 27 - 27 + 12 - 12

f(3) = 0

Since f(3) = 0, then x -3 is a factor of  x³ - 3x² + 4x - 12

Your question is incomplete, but most probably your question was:

Is x - 3 a factor of the polynomial  x³ - 3x² + 4x - 12?

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NEED HELP THX ASAP !! LOOK AT PICTURE

Answers

Answer:

(0, 4)

Step-by-step explanation:

If x = 0, 4(3^x) = 4(3^0) = 4(1) = 4.  So the y-intercept is (0, 4)

How to graph 4x-6y=36

What’s the x intercept

What’s the y intercept

Answers

Therefore . the solution of the given problem of equation comes out to be x-intercept(s): (9,0) and y-intercept(s): (0,−6).

Clarify the equation

A depiction of two equal variables, one on either side of a "equals" sign, is what constitutes an equation in mathematics. To solve common issues, one can use equations. We frequently look for help with pre algebra to overcome obstacles in real life. Basic mathematical concepts are covered in pre-algebra lessons.

Here,

the x-intercepts,

In order to determine the x-intercept(s), put in for y and calculate 4x6y=36.

Make the equation work.

x=9 point form x-intercepts.

x-intercept(s): \s(9,0) (9,0)

the y-intercepts, please.

In order to determine the y-intercept(s), replace with and solve for y=.4(0-)6y=36.

Make the equation work.

To continue, tap.

Point shape y=6 y-intercept(s).

The y-intercept is (0, 6).

Write down the junctions.

x-intercept(s): (9,0)

The y-intercept is (0, 6).

Therefore . the solution of the given problem of equation comes out to be x-intercept(s): (9,0) and y-intercept(s): (0,−6).

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