What is a double angle identity to find the exact value of cos?
Group of answer choices

cos⁡(2a)=〖cos〗^2⁡(a)+〖sin〗^2⁡(a)

cos⁡(2a)=〖cos〗^2⁡(a)

cos⁡(2a)=2 〖cos〗^2⁡(a)-1

cos⁡(2a)=〖2cos〗^2⁡(a)-2 〖sin〗^2⁡(a)

Answer:

(5,-1)

I hope it helps.

Answer:

18cm

Step-by-step explanation:

Answer:

\(4900 {mm}^{2} \)

Step-by-step explanation:

\(1 cm = 10mm \\ 1cm \times 1cm = 10mm \times 10mm \\ 1 {cm}^{2} = 100 {mm}^{2} \\ 49 {cm}^{2} = 49 \times 100 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4900 {mm}^{2} \)

Use the form  a  sin  ( b x − c ) + d  to find the amplitude, period, phase shift, and vertical shift.

Amplitude:   100

Period:  π /  25

Phase Shift:  2 /5  (  2 /5  to the right)

Vertical Shift: 0

Answer:

32

Step-by-step explanation:

18+14

Answer:

x=-2

Step-by-step explanation:

7x-11=-19+3x

7x-3x=-19+11

4x=-8

4x/4=-8/4

x=-2

Answer:

thxs

Step-by-step explanation:

Answer:

\(y-x=3\)

Step-by-step explanation:

Subtract  y  from both sides of the equation.

\(x = 11-y\)

\(5x+3y=41\)

Replace all occurrences of x  in \(5x+3y=41\)  with  11 -y

\(x=11-y\)

\(5(11-y)+3y=41\)

simplify \(5(11-y)+3y=41\)

\(x=11-y\)

\(55-5y+3y=41\)

add -5y and 3y

\(x= 11-y\)

\(55- 2y=41\)

Solve for  y  in the second equation.

Move all terms not containing  y  to the right side of the equation.

\(x=11-y\)

\(-2y=-14\)

Divide each term by  − 2  and simplify.

\(x=11-y\)

\(y=7\)

Replace all occurrences of  y  in  x

\(x=11-(7)\)

\(y=7\)

simplify.

\(x=4\)

\(y=7\)

Replace the variable  x  with  4  in the expression.

\(y-(4)\)

Replace the variable  y  with  7  in the expression.

\((7) - (4)\)

Multiply  − 1  by  4 .

\(7-4\)

Subtract  4  from  7 .

\(3\)

Answer:y-x=3

Step-by-step explanation: substitution method

5x+3y=41........ equation 1

x+y=11 .........equation 2

Since we are given two different equations in terms of two different linear equations, let us try to solve them using the concept of method of substitution:

we find that y=11-x

we will substitue y into equation 1

5x+3(11-x) = 41

5x+33-3x=41

5x-3x=41-33

2x=8

2x/2=8/2

x=4

x+y=11

then you substitute

4+y=11

y=11-4

y=7

y-x

7-4=3

The smallest number of eggs that could have been in the box is 1134

The problem is to find the smallest number of eggs that could have been in the box, given the remainder when taking them out by different numbers. Here are the moves toward tackling it:

Allow n to be the quantity of eggs in the container. Then we have the accompanying arrangement of congruences:

n ≡ 1 (mod 2)

n ≡ 1 (mod 3)

n ≡ 1 (mod 4)

n ≡ 1 (mod 5)

n ≡ 1 (mod 6)

n ≡ 0 (mod 7)

For this problem, we have k = 6 k = 6, a i = {1,1,1,1,1,0} a_i = {1,1,1,1,1,0}, M i = {1260,840,630,504,420,720} M_i = {1260,840,630,504,420,720}, and y i = {−1,−2,−3,-4,-5,-6} y_i = {-1,-2,-3,-4,-5,-6}.

Plugging these values into the formula and simplifying modulo 5040, we get:

n = (−1260 + −1680 + −1890 + −2016 + −2100 + 0) mod 5040

n = (−8946) mod 5040

n = (−3906) mod 5040

n = 1134 mod 5040

Therefore, the smallest number of eggs that could have been in the box is 1134

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Answer:

$739.84

Step-by-step explanation:

First we have to 235-8.65 to find out how much she has to pay. It equals 243.65. Now you subract 243.65 from 983.49. That equals 739.84. Her profit is 739.84

Answer:

b=-3

Step-by-step explanation:

4b+3=−9

-3 -3

4b=-12

4b/4 =-12/4

b=-3

Answer:

the answer for under n would be 14

Answer:

n + 4

Step-by-step explanation:

For this problem, we must simply determine the operation that is occurring between each input and each output.

Let's start with the first input, 1, and the first output, 5.  Notice 5-1 = 4.  Let's assume that this difference holds.  We need to check the next option.

The second input, 5, and the second output, 9.  Notice 9-5 = 4.  It would seem that our assumption holds.  Let's check the next case to ensure the validity of our assumption.

The third input, 7, and the third output, 11.  Notice 11 - 7 = 4.  Since all three cases match our assumption, we will apply our assumption to the generalized input, n.

When the input is n, our output will be n + 4, as we have determined with our assumption from the previous inputs and outputs that we analyzed.

Thus, when input in n, output is n+4.

Cheers.

Answer:

It’s 0,0

Step-by-step explanation: it only crosses the origin once and on the 0 so.

Answer:

0

Step-by-step explanation:

The line crosses at the origin.

The remainder of the polynomial using the remainder theorem and factor theorem is 6.

Apply the remainder theorem,

When we divide a polynomial

f(x) by (x − c)

f(x) = (x − c)q(x) + r

f(c) = 0 + r

Here,

f(x)=(x−c)q(x)+rf(c)=0+r

and (x−c) is (x−(−2))

Therefore,

f(−2) = \((-2)^{4} - (-2)^3 - 3(-2)^2 + 4(-2) + 2\)

= 16 + 8 − 12 − 8 + 2

= 6

Hence, the remainder of the polynomial using the remainder theorem is 6.

Whereas using the factor theorem and doing synthetic division, we get,  

x = -2 is a zero of f(x), and x+2 is a factor of f(x). To factor f(x), we divide

the coefficients of the polynomial as follows -

         -2   |   1  -1    -3     4      2

                      -2   6    -6      4

        -----------------------------------------

                    1   -3   3    -2     6

Hence, we get that 6 is the remainder when (\(x^4-x^3-3x^2+4x+2\)) ÷ (x+2), using the factor theorem.

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The complete question is -

Find the remainder using the Remainder Theorem and Factor Theorem using the synthetic division of the given polynomial, \(x^4-x^3-3x^2+4x+2\) ÷ (x+2)

The dot product of u and v is 0 and the angle between u and v is 90°.

Calculate the dot product u • v.

Dot product is defined as u • v = |u| × |v| × cos θ,

where θ is the angle between u and v. Given that u = 〈4, −5〉 and v = 〈10, 8〉, we can calculate the dot product as follows:|u| = √(42 + (−5)2) = √41 = 6.4|v| = √102 + 82 = √164 = 12.8u • v = (4 × 10) + (−5 × 8) = 40 − 40 = 0.

Therefore, the main answer is 0.(b) Determine the angle between u and v.

The angle between u and v can be determined asθ = cos−1 (u • v / |u| × |v|) = cos−1(0 / (6.4 × 12.8)) = cos−1(0) = 90°Therefore, the angle between u and v is 90°.

So, the conclusion of the given question is the dot product of u and v is 0 and the angle between u and v is 90°.

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Function a)

Maximum = 2 , Minimum = -2

Amplitude= 4/2= 2

y = A• Cos ( ? )

When x= 2/3π y = 0

π/2 - 2/3π = π•(1/2 - 2/3)

Then

y= A• Cos ( X - π/6 )

y= 2• Cos (X - π/6 )

__________________________________

Function b

Maximum = 4, Minimum= 2

Amplitude A= 2/2= 1

y= A• Sin (?)

When x= -π/3,. y = 2

Then

y = A• Sin( X + π/3 ) + 2

y = Sin (X + π/3 ) + 2

Answer:

13 × 14 = 182 yd^2

............................

Answer:

it is a reflection

Answer:

reflection y=x

Step-by-step explanation:

A unit vector perpendicular to the plane ABC is:

\((-10/\sqrt{(189)} , 13/\sqrt{(189)} , 2/\sqrt{(189)} )\)

To find a unit vector perpendicular to the plane ABC, we need to find the normal vector to the plane.

One way to find the normal vector is to take the cross product of two vectors that lie on the plane.

Let's choose the vectors AB and AC:

AB = B - A = (1, -1, -3) - (3, -1, 2) = (-2, 0, -5)

AC = C - A = (4, -3, 1) - (3, -1, 2) = (1, -2, -1)

To find the cross product of AB and AC, we can use the following formula:

AB x AC = (AB2 * AC3 - AB3 * AC2, AB3 * AC1 - AB1 * AC3, AB1 * AC2 - AB2 * AC1)

where AB1, AB2, AB3 are the components of AB, and AC1, AC2, AC3 are the components of AC.

Plugging in the values, we get:

AB x AC = (-10, 13, 2)

This is the normal vector to the plane ABC.

To find a unit vector in the same direction, we can divide this vector by its magnitude:

||AB x AC|| \(= \sqrt{((-10)^2 + 13^2 + 2^2)}\)

\(= \sqrt{(189) }\) .

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Answer:

A. 3q^2

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor (GCF).

Answer:

78° + B = 180°

B = 102°

Step-by-step explanation:

"Supplementary" means angle A and B added together are 180°.

We know A is 78, but we don't know B

Write an equation:

A + B = 180°

Fill in what we know.

78° + B = 180° this is the equation the question is asking for.

To solve, subtract 78 from both sides of the equation.

B = 102°

Answer:

- 9 + 12x

Step-by-step explanation:

- 3(3 - 4x) ← multiply each term in the parenthesis by - 3

= - 9 + 12x

Answer:

50

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

The moment of inertia for an area is a measure of an object's resistance to rotational forces and is calculated using an integral involving the distance of small area elements from a reference axis.

Moment of inertia for an area, also known as the second moment of area or area moment of inertia, is a fundamental geometric property of a shape that reflects how its mass is distributed relative to a specific reference axis. It plays a crucial role in mechanics, as it is directly related to an object's resistance to bending and torsion.

In mathematical terms, the moment of inertia for an area is calculated using an integral of the form:

I = ∫(y^2 + z^2) dA

Where I represents the moment of inertia, y and z are the distances of a small area element dA from the reference axis (usually the centroid of the shape), and the integral is computed over the entire area of the shape.

The moment of inertia has units of length to the fourth power (L^4), and its value depends on both the shape's geometry and the axis around which it is calculated. For simple shapes like rectangles, circles, and triangles, the moment of inertia can be calculated using standard formulas. However, for more complex shapes, numerical methods like finite element analysis or integral calculus might be required.

In summary, the moment of inertia for an area is a measure of an object's resistance to rotational forces and is calculated using an integral involving the distance of small area elements from a reference axis. It plays a crucial role in mechanics and is essential in understanding an object's behavior under bending and torsion.

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The type of transformation that shape A passed through to form shape B is

D. a 90° clockwise rotation

We find the transformation by investigating the image, we can see that the image made a clockwise rotation of 90 degrees

A 90° clockwise rotation refers to a transformation in which an object or coordinate system is rotated 90 degrees in the clockwise direction, which means it turns to the right by a quarter turn.

In a two-dimensional space, a 90° clockwise rotation can be visualized by imagining the object or points rotating around a central axis in the clockwise direction.

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The type of transformation which shape A undergo to form shape B include the following: D. a 90° clockwise rotation.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this polygon in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Shape A = (-1, 2)          →     shape B (2, 1)

Shape A = (-1, 4)          →     shape B (4, 1)

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each child plays for 45 minutes.

To determine the number of minutes each child plays, we can divide the total playing time (90 minutes) by the total number of children (5). Since only two children can play at a time, we need to divide the playing time equally among the pairs of children.

Let's calculate:

Number of pairs of children = Total number of children / 2 = 5 / 2 = 2 pairs

Minutes each child plays = Total playing time / Number of pairs of children

Minutes each child plays = 90 minutes / 2 pairs = 45 minutes

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Answer:

..

Step-by-step explanation:.