Question Given that sin(0) = 2√13 13, and is in Quadrant IV, what is cos(20)? Provide your answer below:

Answers

Answer 1

Given that sin(θ) = 2√13/13 and θ is in Quadrant IV. We need to find the value of cos(θ) = ?In Quadrant IV, both x and y-coordinates are negative.

Also, we know that sin(θ) = 2√13/13Substituting these values in the formula,

sin²θ + cos²θ = 1sin²θ + cos²θ

= 1cos²θ

= 1 - sin²θcos²θ

= 1 - (2√13/13)²cos²θ

= 1 - (4·13) / (13²)cos²θ

= 1 - (4/169)cos²θ

= (169 - 4)/169cos²θ

= 165/169

Taking the square root on both sides,cosθ = ±√165/169Since θ is in Quadrant IV, we know that the cosine function is positive there.

Hence,cosθ = √165/169

= (1/13)√165*13

= (1/13)√2145cosθ

= (1/13)√2145

Therefore, cos(θ) = (1/13)√2145

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Related Questions

The newborn death rate is calculated by dividing the number of newborn deaths by _____ and multiplying by 100.

Answers

The newborn death rate is calculated by dividing the number of newborn deaths by the number of live births and multiplying by 100.

The newborn death rate, also known as the neonatal mortality rate, is a critical indicator used in public health to assess the health and well-being of newborns. It is calculated by dividing the number of newborn deaths within a specified period by the number of live births during the same period and then multiplying the result by 100.

This calculation is performed to express the newborn death rate as a percentage, making it easier to interpret and compare across different populations or time periods. By dividing the number of deaths by the number of live births, we obtain the proportion of newborns who die within a certain timeframe. Multiplying this proportion by 100 provides the rate per 100 live births, which allows for a standardized measure of comparison.

The newborn death rate is a crucial statistic in assessing the quality of healthcare services, identifying areas with high mortality rates, and monitoring the effectiveness of interventions aimed at reducing neonatal deaths. It serves as a vital tool for policymakers, healthcare professionals, and researchers in evaluating and improving newborn health outcomes.

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How can you use the properties of operations to evaluate
this expression?
18 + 4(28)

Answers

Answer:

Well on of the properties states that unless there are parenthesis, you multiply and divide first then you add and subtract. So, first we multiply 28*4 and that leaves use with 112, now if there is no more multiplication, division, or parentheses, and there's not. We can continue all we do is add 18+112 and we get our answer of 130.

Answer: Use the distributive property and expand 28, then distribute the 4 to 20 and the 4 to 8. Then you have 18 + 80 + 32. Use commutative property to reverse the order of 32 and 80 so that 18 and 32 are friendly numbers to add.

y at least inequality symbol 2/3x + 2 y<-1/3x+1

Answers

After solving the given inequality question, we will get  x < -9.

What is an inequality symbol?

A mathematical sign for comparing two values or expressions is an inequality symbol. Inequality symbols include: (less than), > (greater than), (less than or equal to), and (greater than or equal to). Inequalities can be used to represent connections between two or more variables, for as 5 10 indicating that 5 is less than 10. Inequalities can also be used to define mathematical equations or to describe connections between variables. The equation x + 2 7 can, for example, be used to represent the relationship between x and 7, or to communicate that the value of x must be less than 5 for the equation to be true.

In the given question,

2/3x + 2y < -1/3x + 1

⇒ 2/3x + 2y - (-1/3x + 1) < 0

⇒ 5/3x + 3 < 0

⇒ 5/3x < -3

⇒ x < -9

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Determine if triangles with the following side lengths are possible.

A: 5 8 4
B: 3, 6, ,2
C: 7, 5, 4,

Determine if triangles with the following side lengths are possible.A: 5 8 4 B: 3, 6, ,2C: 7, 5, 4,

Answers

Answer:

a is possible

b is not possible

c is possible

one of the two equations in a linear system is given. if the system has no solution, which equation could be the second equation in the system?

Answers

The second linear equation will be linearly dependent to the first equation. The graphs of the two linear equation will be parallel to each other.

When two systems of linear equation is given and they do not have a solution that means the  first one is depended on the second one or the second equation is depended on the first set of equations.

The system of linear equations that does not posses a solution is called inconsistent form of linear equation where the multiples of the variables are multiples of each other but the constant is completely different.

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Find the perimeter of the parallelogram.

Find the perimeter of the parallelogram.

Answers

Answer:

14 cm

Step-by-step explanation:

3 + 3 + 4 + 4 = 14

Answer:

it's (4+3)x2 so the answer is 14cm.

brainliest goes to whoever answers the question correctly also if you want more points answer my other questions

brainliest goes to whoever answers the question correctly also if you want more points answer my other

Answers

Answer:

D. All of the above

Step-by-step explanation:

All of those would reach higher than 300 when you go 4 to the right.

The correct answer is: D, all of the above

how many samples of size n=2 can be drawn from this population

Answers

The samples of size n = 2 that can be drawn from this population is 28

How many samples of size n=2 can be drawn from this population

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

Population, N = 8

Sample, n = 2

The samples of size n = 2 that can be drawn from this population is calculated as

Sample = N!/(n! * (N - n)!)

substitute the known values in the above equation, so, we have the following representation

Sample = 8!/(2! * 6!)

Evaluate

Sample = 28

Hence, the number of samples is 28


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Complete question

A finite population consists of 8 elements.

10,10,10,10,10,12,18,40

How many samples of size n = 2 can be drawn this population?

the one who gives the first answer will be marked as the brainliest.
the circumference of a circle is 132 cm. what is the radius of pi is equal to 22/7 ​

Answers

Answer:

21 cm

Step-by-step explanation:

C= 2πr

132=2*22/7*r

132=44/7*r

r= 7*132/44

r=21 cm

Answer:

21

Step-by-step explanation:

Circumference formula = 2 x pi x r

So,

22/7 x 2 x r = 132

Simplify and rearrange

44/7 x r = 132

r = 132 x 7 divided by 44

r = 924 divided by 44

r = 21

Hope this helps.

how to factor special form polynomials

Answers

There’s a video that is really helpful! It’s called factoring special polynomials from higher math solutions. hope this helps!!

The point (7,7) is a point on the terminal side of theta. What is the exact value of csc theta in simplest form?

Answers

\((\stackrel{a}{7}~~,~~\stackrel{b}{7})\qquad \impliedby \textit{let's find its \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{7^2+7^2}\implies c=\sqrt{7^2(1+1)}\implies c=\sqrt{7^2(2)}\implies c=7\sqrt{2} \\\\[-0.35em] ~\dotfill\\\\ csc(\theta )=\cfrac{\stackrel{hypotenuse}{7\sqrt{2}}}{\underset{opposite}{7}}\implies csc(\theta )=\sqrt{2}\)

Please help! The radius of a sphere is claimed to be 3. 0 inches, correct to within 0. 01 inch. Use linear approximation to estimate the resulting error, measured in cubic inches, in the volume of the sphere

Answers

Therefore, the resulting error in the volume of the sphere is approximately 1.13 cubic inches.

To estimate the resulting error in the volume of the sphere, we can use linear approximation. The formula for the volume of a sphere is given by:

V = (4/3)πr³

where V is the volume and r is the radius.

The linear approximation formula is given by:

ΔV ≈ dV/dr × Δr

where ΔV is the resulting error in the volume, dV/dr is the derivative of the volume with respect to the radius, and Δr is the error in the radius.

Taking the derivative of the volume formula with respect to the radius, we have:

dV/dr = 4πr²

Given that the radius is claimed to be 3.0 inches, correct to within 0.01 inch, we can consider the error (Δr) to be 0.01 inch.

Now we can substitute the values into the linear approximation formula:

ΔV ≈ dV/dr × Δr

ΔV ≈ (4π(3.0)²) × 0.01

ΔV ≈ (4π(9.0)) × 0.01

ΔV ≈ (36π) × 0.01

ΔV ≈ 0.36π

Approximating π to be 3.14, we can calculate the resulting error:

ΔV ≈ 0.36π

ΔV ≈ 0.36 × 3.14

ΔV ≈ 1.13 cubic inches

Therefore, the resulting error in the volume of the sphere is approximately 1.13 cubic inches.

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rotate 270° counterclockwise

rotate 270 counterclockwise

Answers

Answer:

When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, we switch x and y and make x negative.

Step-by-step explanation:

the smith family consists of a mother, father, and some children. the average age of the family is 20 yrs. old. the father is 48 yrs. old, and the average age of the mother and children is 16. how many children are in the smith family?

Answers

This is a contradiction, which means that our initial assumption that there are n children is incorrect. Therefore, there is no solution to this problem that satisfies the given conditions.

Let's assume that there are n children in the Smith family.

We know that the father is 48 years old, so the sum of the ages of the mother and children is:

Total age = (n + 1) * 20 (as there are n children and 1 father)

And we also know that the average age of the mother and children is 16, so we can write:

Total age / (n + 1) = 16

Combining these two equations, we get:

(n + 1) * 20 / (n + 1) = 16

Simplifying, we get:

20 = 16

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Given 21x³ - 3x² = 0, which values of x will satisfy the equation? ​

Answers

Answer:

7x=1 (or x=1/7)

Step-by-step explanation:

First, simplify to get

7x3 -x2   = 0

Factor to get this x2 * (7× - 1) = 0

x2 = 0, then x = 0

Answer:

0 and 1/7

Step-by-step explanation:

One obvious answer would be 0. And another:

\(21x^3 - 3x^2 = 0 \\21x^3 = 3x^2\\7x = 1\\x = \frac{1}{7}\)

Dena uses 7.4 pints of white paint and blue paint to paint her bedroom walls. 2/5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use yo paint her bedroom walls

Answers

Answer:

4.44 pints

Step-by-step explanation:

7.4 times 3/5

Graph the polygon and its image after a dilation centered at C(1,1)
with scale factor k=0.5
.

J(3,1), K(5,−3), L(5,5), M(3,7)

Answers

Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.

DIlations are defined by the follwing operation:

\(P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]\) (1)

Where:

\(O(x,y)\) - Center of dilation.\(k\) - Dilation factor.\(P(x,y)\) - Original point of the polygon.\(P'(x,y)\) - Dilated point of the polygon.

If we know that \(O(x,y) = (1,1)\), \(k = 0.5\), \(J(x,y) = (3,1)\), \(K(x,y) = (5, -3)\), \(L(x,y) = (5,5)\) and \(M(x,y) = (3,7)\), then the coordinates of the new polygon are:

\(J'(x,y) = (1,1) + 0.5\cdot [(3,1)-(1,1)]\)

\(J'(x,y) = (1,1)+0.5\cdot (2,0)\)

\(J'(x,y) = (1,1) +(1,0)\)

\(J'(x,y) = (2,1)\)

\(K'(x,y) = (1,1) + 0.5\cdot [(5,-3)-(1,1)]\)

\(K'(x,y) = (1,1) +0.5\cdot (4,-4)\)

\(K'(x,y) = (1,1) +(2,-2)\)

\(K'(x,y) = (3,-1)\)

\(L'(x,y) = (1,1) + 0.5\cdot [(5,5)-(1,1)]\)

\(L'(x,y) = (1,1) + 0.5\cdot (4,4)\)

\(L'(x,y) = (1,1) + (2,2)\)

\(L'(x,y) = (3,3)\)

\(M'(x,y) = (1,1) + 0.5\cdot [(3,7)-(1,1)]\)

\(M'(x,y) = (1,1) +0.5\cdot (2,6)\)

\(M'(x,y) = (1,1) +(1,3)\)

\(M'(x,y) = (2,4)\)

Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.

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Graph the polygon and its image after a dilation centered at C(1,1) with scale factor k=0.5.J(3,1), K(5,3),

20(-1.5r+0.75) answer​

Answers

=-30r+15 is the answer hope this helped:)

Maya started to run on a treadmill after setting its timer for 57 minutes. The display says that she has finished 27% of her run. How many minutes have gone by? Round your answer to the nearest tenth.

Answers

Answer:

15.4 minutes :)

Step-by-step explanation:

We need to turn the percentage into a decimal first :)

27/100 = 0.27

Now we multiply it by 57 to see how much time has gone by!! :)

0.27 x 57 = 15.39

Now to finish, we round!

9> 5

So 3 becomes 4

She has been on the treadmill for 15.4 minutes!

Now you know how to solve this type of problem!!

Have an amazing day!!

Please rate and mark brainliest!!

three red cards are numbered 1, 2, and 3. three black cards are numbered 4, 5, and 6. the cards are placed in a box and one card is selected at random. find the probability that a black card was selected given that the number on the card was an even number. write your answer in exact simplified form.

Answers

Answer:

8

Step-by-step explanation:

1+2+3=6

4+5+6=15

15-6=9-1=8

Find the distance between (11, 7), (16, 6)

Answers

Use the distance formula:
Find the distance between (11, 7), (16, 6)

Answer:

The answer is √26

Step-by-step explanation:

Given;x₁ = 11; x₂ = 16y₁ = 7; y₂ = 6

Let the point be A and B i.e.,

A = (11, 7)

B = (16, 6)

Now, The distance between A and B

AB = √(x₂ – x₁)² + (y₂ – y₁)²

AB = √(16 – 11)² + (6 – 7)²

AB = √(5)² + (-1)²

AB = √25 + 1

AB = √26

Thus, The distance between A and B is √26

-TheUnknownScientist 72

If I get 10 dollars a week how much money will I have saved up in 9-years I WILL GIVE 55 POINTS

Answers

Answer:

$4,680

Step-by-step explanation:

Rate : 10 dollars a week

Per year : 10 x 52 = $5209 x 520 = $4,680

You will have saved up $4,680 in 9 years.

PLEASE HELPPP

Make it true

5 23 18 8 4 = 100


You can use parentheses, +, -, x, and division PLEASE HELP PLEASEE

Answers

Answer:

5+23+18+8+4,=100

Step-by-step explanation:

plus

The expression is written with parentheses and the signs will be 5 + 23 + 18 x (8 - 4) = 100.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

5 + 23 + 18 x (8 - 4) = 100

Simplify the expression, then we have

5 + 23 + 18 x (8 - 4) = 100

5 + 23 + 18 x 4 = 100

28 + 72 = 100

100 = 100

The expression is written with parentheses and the signs will be 5 + 23 + 18 x (8 - 4) = 100.

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Find the zeroes of the function f(x).
f(x)=(x–3)(x+4)

Answers

Answer:Set \displaystyle f\left(x\right)=0f(x)=0.

Step-by-step explanation:

Set \displaystyle f\left(x\right)=0f(x)=0.

If the polynomial function is not given in factored form:

Factor out any common monomial factors.

Factor any factorable binomials or trinomials.

Set each factor equal to zero and solve to find the \displaystyle x\text{-}x- intercepts.

the scores on a collegiate mathematics readiness assessment are approximately normally distributed with a mean of 680 and a standard deviation of 120. determine the percentage of scores between 690 and 900, to the nearest percent.

Answers

43.36% of the scores fall between 690 and 900 on the collegiate mathematics readiness assessment.

To determine the percentage of scores between 690 and 900, we need to calculate the area under the normal distribution curve between these two values.

First, we need to standardize the scores using the formula z = (x - μ) / σ, where x is the score, μ is the mean, and σ is the standard deviation.

For the score 690:

z1 = (690 - 680) / 120 = 0.0833

For the score 900:

z2 = (900 - 680) / 120 = 1.8333

Next, we need to find the area between these two standardized scores. We can use a standard normal distribution table or a statistical calculator to find the corresponding probabilities.

From the standard normal distribution table, we find that the area to the left of z1 is approximately 0.5328 and the area to the left of z2 is approximately 0.9664.

To find the area between z1 and z2, we subtract the smaller area from the larger area:

Area = 0.9664 - 0.5328 = 0.4336

Finally, we convert the area to a percentage by multiplying by 100:

Percentage = 0.4336 * 100 ≈ 43.36%

Therefore, approximately 43% of the scores fall between 690 and 900 on the collegiate mathematics readiness assessment.

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Halp, the answer is either A, B, C, or D

Halp, the answer is either A, B, C, or D

Answers

Answer:

D

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

pls help asap if you can!!!!!

pls help asap if you can!!!!!

Answers

Answer:  A x=11

Step-by-step explanation:

We are assuming the lines are parallel so the angles would be equal from transverse line rules.

7x + 13 = 90                    >Subtract 13 from both sides

7x = 77                            >divide both sides by 7

x = 11                              

can you help me with this please 9u+6u+9u–7u

Answers

Answer: 17u

Step-by-step explanation:

(9+9+6-7)u=17u

Answer:

17u

Step-by-step explanation:

9u+6u+9u =24u

24u-7u=17u

If a || b and ____, then a || c.

• b || c
• a upside down T c
• b upside down T c
• b upside down T a

Answers

Answer:

it will option A it is correct answer

What are the x-intercepts of y = 4x^2 + 4x + 1?

Answers

Answer:

hope this helps:) have a good day

What are the x-intercepts of y = 4x^2 + 4x + 1?

Answer:

-1/2 is the x vertex.

Step-by-step explanation:

(y = ax^2 + bx + c),

-(b)/2(a)

-(4)/2(4)

-4/8 = -1/2

-1/2 is x

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