Given that cos (x) = k
what does cos (2x) = ?

Thanks in advance :)

Answer:

r ≈ 3

Step-by-step explanation:

Using the formula:

V = \(\pi r^{2} h\)

Rearrange to make r the formula:

r = \(\sqrt{\frac{V}{\pi h} }\)

r = \(\sqrt{\frac{282.6}{10\pi} }\)

r ≈ 2.99924

r ≈ 3

Step-by-step explanation:

sinΘ=-3,cosΘ=4,cotΘ=-4/3,secΘ=1/4 & cosecΘ=-1/3

Answer:

c

Step-by-step explanation:

it's a property of powers, when the base is the same (-5) , you need to

sum the powers when both terms are multiplyng

subtract the powers when both terms are dividing (numerator power minus denominator power, in that order)

Answer:

42km/h

Step-by-step explanation:

70km=100 minutes

7km= 10min

42km=60min

42km/h

Answer:

<DEB= 125 degrees

Step-by-step explanation:

To get this, you would need to know all 2 angles of the triangle.

To find the first angle, simply do 180-107 to get 73(because supplementary angles add up to 180 degrees).

Next, 180-52(given angle)-73 to get 55 because the 3 angles of a triangle add up to 180(triangle angle sum theory).

You would see that <DEB is part of another supplementary angle so, do 180-55 to get 125.

<DEB=125 degrees.

Answer:

125 is the answer.

Step-by-step explanation:

Let's calculate all the internal angles in the triangle 1st.

∠ACE + ∠ECB =180

107 +∠ECB =180

∠ECB =73

The sum of internal angles in a triangle is 180 so

∠ECB +∠EBC +∠CEB =180

73+52+∠CEB=180

∠CEB=180-125

∠CEB = 55

Since CB is a line

∠CEB +∠DEB =180

55+∠DEB =180

∠DEB=125

Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

The perimeter of the right triangle is 15 units

The dimensions of the triangle is solved by Pythagoras theorem given by the  the formula

hypotenuse² = opposite² + adjacent²

Since F is mid segment then BF = F'C and DE = 2 = F'C

hence B'C = B'F + F'C = 2 + 2 = 4

In a rectangle B'C = AD = 4 = EC

F'E² = F'C² + EC²

F'E² = 2² + 4²

F'E² =  4 + 16

F'E = √20

F'E = 4.47

Solving for AE

AE² = AD² + DE²

AE² = 2² + 4²

AE² =  4 + 16

AE = √20

AE = 4.47

Solving for A'F

A'F² = AE² + FE²

A'F² = √20² + √20²

A'F² =  20 + 20

A'F = √40

A'F = 6.32

The perimeter of the triangle is

P = A'F + AE + FE

P = 6.32 + 4.47 + 4.47

P = 15.26

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Answer:

\( - \frac{1}{5 \sqrt{y} } \)

Answer:

option 1

Step-by-step explanation:

\(\sqrt{y} =y^{\frac{1}{2}}\\\\(\frac{1}{\sqrt{y} })^{\frac{-1}{5}} =(\frac{1}{y^{\frac{1}{2}}})^{\frac{-1}{5}}\\\\= (y^{\frac{-1}{2}})^{\frac{-1}{5}}\\\\=y^{\frac{-1}{2}*\frac{-1}{5}}\\\\= y^{\frac{1}{10}}\\\\=\sqrt[10]{y}\)

We can see here that the data set approximately periodic. The period and amplitude is: Periodic with a period of 4 and an amplitude of about 30.

The size or magnitude of a wave or vibration is measured by its amplitude in physics. It describes the greatest deviation of a wave from its equilibrium or rest state, or the greatest intensity of an electromagnetic or sound wave.

When referring to waves, amplitude is commonly calculated as the distance between a wave's peak or trough and its resting position.

We can deduce that the values are being repeated at regular interval of four (4).

For the amplitude:

\(Amplitude: \frac{140 - 74}{2}\)

Amplitude = 33 ≈ 30.

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Answer:

a four-sided plane rectilinear figure with opposite sides parallel.

Step-by-step explanation:

Answer:

Parallelograms are a type of quadrilateral, which is a polygon with four sides. A parallelogram is a specific type of quadrilateral that has two pairs of parallel sides. This means that the opposite sides of a parallelogram are parallel and equal in length.

In addition to having parallel sides, parallelograms also have some other notable properties:

Opposite angles are congruent: The opposite angles of a parallelogram are equal in measure. This means that if you label the angles A, B, C, and D, then angle A is congruent to angle C, and angle B is congruent to angle D.

Step-by-step explanation:

x = 3 is the answer can you pls add me brainliest answer

The key features of the graph are:

The graph has a minimum value at (-2, -1)

This represents the vertex

The x coordinate of the vertex is the axis of symmetry.

So, we have

x = -2

The graph crosses the y-axis at (0, 3)

This represents the y-intercept

The graph opens up.

This means that the vertex is minimum.

The domain is the set of all real number, because the graph extends in both directions on the x-axis without end

While the range is y >= -1, because it has a minimum at this point

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Let's begin by listing out the information given to us:

a(n) = -3n-6​

n = 15

a(15) = -3(15) - 6 = -45 - 6 = -51a(15) = -51

Answer:

First one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

-7 is in the domain

0 is in the domain

7 is not in then domain

Answer:

7

Step-by-step explanation:

x=7 is the vertical asymptote, it is not in the domain

The values of tht missing part of the triangle are;

A= 20.9°

a = 13.06

c = 33.6

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

To find side c

sinB/b = sinC/c

sin45.9/26.30 = sin113.2/c

csin 45.9 = 26.30 × sin113.2

0.718c = 23.90

c = 23.90/0.718

c = 33.6

Angle A = 180-(113.2+ 45.9)

angle A = 20.9°

sinA/a = sinB/b

sin20.9/a = 0.718/26.30

0.357 × 26.30 = 0.718a

a = 9.389/0.718

a = 13.06

Therefore A = 20.9°

a = 13.06

c = 33.6

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Answer:

72°

Step-by-step explanation:

360/5 = 72

The solution to the graph of the equation f(x) =g(x) is the point of intersection of the two graphs. Hence, the solution is x = 3.9.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The meanings of the word equation and its cognates in various languages can vary slightly. For instance, in French, an equation is defined as having one or more variables, whereas in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.

The solution to the graph of the equation f(x) =g(x) is the point of intersection of the two graphs. Hence, the solution is x = 3.9.

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The complete question is:

Answer: 11

Step-by-step explanation:

The percentage of 17 of 153 will be 11.11%  thus 11.11% of inventory sold.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Total number of inventory = 153

Number of units sold = 17

Percentage of 17 out of 153

(17/153)100 = 11.11%

Hence "The percentage of 17 of 153 will be 11.11%  thus 11.11% of inventory sold".

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To find the equation of a line that passes through the points (5, -3) and (-2, -4) in standard form, we can use the point-slope form of a linear equation and then convert it to standard form.

Determine the slope (m) of the line using the formula:

   m = (y2 - y1) / (x2 - x1)

For the given points (5, -3) and (-2, -4), we have:

   m = (-4 - (-3)) / (-2 - 5) = (-4 + 3) / (-2 - 5) = -1 / (-7) = 1/7

Use the point-slope form of a linear equation:

   y - y1 = m(x - x1)

Using the point (5, -3), we have:

   y - (-3) = (1/7)(x - 5)

Simplifying:

   y + 3 = (1/7)(x - 5)

Convert the equation to standard form:

Multiply both sides of the equation by 7 to eliminate the fraction:

   7y + 21 = x - 5

Rearrange the equation to have the x and y terms on the same side:

   x - 7y = 26

The equation of the line in standard form that passes through the points (5, -3) and (-2, -4) is x - 7y = 26.

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A confidence interval that will capture the true population mean with 95% confidence. The value is ( 23.6459    , 24.8293 ) .

What is population mean?

A population in statistics is a group of comparable objects or occurrences that are relevant to a particular topic or experiment. A statistical population can be a collection of real things or a hypothetical, possibly limitless collection of objects derived from experience.

Data: 18

for given data

\($$\begin{aligned}\bar{X} & =\frac{\sum X i}{n} \\& =2448 / 101 \\& =24.2376\end{aligned}$$\)

as population variance is unknown so we used sample variance

\($$\begin{aligned}S^2 & =\frac{1}{n-1}\left(\sum X i^2-n \times \bar{X}^2\right) \\S^2 & =\frac{1}{100}\left(60232-101 \times 24.2376^2\right) \\& =8.9830\end{aligned}$$\)

Now

\(\frac{\bar{X}-\mu}{S / \sqrt{n}} \sim t_{n-1}$$\)

hence 95 % of population mean is

As n=101 which is large so critical value is 1.98397

\($$\begin{aligned}& =\left(\bar{X}-\sqrt{\frac{S}{n}} \times t_{(n-1, \alpha / 2)}, \bar{X}+\sqrt{\frac{S}{n}} \times t_{(n-1, \alpha / 2)}\right) \\& =\left(24.2376-\sqrt{\frac{8.9830}{101}} \times 1.98397,24.2376+\sqrt{\frac{8.9830}{101}} \times 1.98397\right) \\& =(23.6459,24.8293)\end{aligned}$$\)

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Answer:

okay i'll keep this in mind

Step-by-step explanation:

Answer:

\(-9 + (9 + 20 )/(3*5) - (-3) = -61/15\)

Step-by-step explanation:

Or in decimal form -4.0666666666

Answer:

4

Step-by-step explanation:

(x - h)² + (x - k)² = r²

r is the radius of the circle. We are given r as 16. So,

r² = 16

√r² = √16

r = 4

And we have our final answer!

Answer:

4

Step-by-step explanation:

(x - h)² + (x - k)² = r²

r is the radius of the circle. We are given r as 16. So,

r² = 16

√r² = √16

r = 4

This is the final answer!

The (A ∪ B) ∩ (A ∪ C) ∩ (B ∪ C) ∩ (B ∩ C) ∩ C is an empty set {}.To find the sets A ∪ B, A ∩ B, A ∪ C, A ∩ C, B ∪ C, and B ∩ C, we can perform the following operations:

A ∪ B: The union of sets A and B includes all unique elements from both sets, resulting in {10, 11, 12, 13, 14, 16}.

A ∩ B: The intersection of sets A and B includes only the common elements between the two sets, which are {10, 12}.

A ∪ C: The union of sets A and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 13}.

A ∩ C: The intersection of sets A and C includes only the common elements, which is {10, 11}.

B ∪ C: The union of sets B and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 14, 16}.

B ∩ C: The intersection of sets B and C includes only the common elements, which is an empty set {} since there are no common elements.

Finally, performing the remaining operations:

(A ∪ B) ∩ (A ∪ C): This is the intersection of the union of sets A and B with the union of sets A and C. The result is {10, 11, 12, 13} since these elements are common to both unions.

(B ∪ C) ∩ (B ∩ C): This is the intersection of the union of sets B and C with the intersection of sets B and C. Since the intersection of B and C is an empty set {}, the result is also an empty set {}.

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Graph these twο pοints (0, -2) & (4/3, 0) and yοu have yοur slοpe graphed fοr the equatiοn y = 3/2x -2.

What is an equatiοn?  

An equatiοn is a mathematical statement containing two algebraic expressiοns flanked by equal signs (=) on either side.

It shows that the relationship between the left and right printed expressiοns is equal.

All fοrmulas have LHS = RHS (left side = right side).

Yοu can sοlve equatiοns tο determine the values οf unknοwn variables that represent unknοwn quantities.

If a statement does not have an equals sign, it is not an equatiοn. A mathematical statement called an equatiοn cοntains the symbοl "equal tο" between twο expressiοns οf equal value.

Tο find the x-intercept, substitute y = 0 and sοlve fοr x. Tο find the y-intercept, substitute x = 0 and sοlve fοr y.

y = 3/2(0) -2

y = -2

⇒ (0, -2)

And for x

0 = 3/2x -2

2 = 3/2x

x = 4/3

(4/3, 0)

Now graph these two points and you have your slope graphed

Hence, The graph of the equation is given below.

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Answer:

 10

Step-by-step explanation:

an integer is an opposite but if it is above zero it is a positive number and and integer of a positive number is another positive number

The inheritance tax is calculated as a percentage of the value of the estate that exceeds an exemption amount. The exemption amount varies by state and can range from $0 to $5.93 million in 2021 for federal estate tax purposes.

In Linda’s case, the inheritance tax is 7% of the estate worth $225,000. Therefore, the amount of money Linda will receive is calculated as follows:

$225,000 - (7% x $225,000) = $209,250

So the answer is (b) $209,250.

I hope that helps! Let me know if you have any other questions.

The numbers are compared with the inequality symbols as follows:

a. 3 > -3.

b. 12 < 24.

c. -12 > -24.

d. 5 = - (-5).

e. 7.2 > 7.

f. -7.2 < 7.

g. -1.5 = -3/2.

h. -4/5 > -5/4.

i. -3/5 = -6/10.

j. -2/3 < 1/3.

The inequality symbols used in this problem are defined as follows:

The observations to some items are given as follows:

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