can someone help me pleaseee

Answer: That would be $11.42

Step-by-step explanation: Hope this helped!! :)

For the first equation, recall that sin²(θ) = (1 - cos(2θ))/2. Then

2 sin²(θ) = 2 + cos(2θ)

1 - cos(2θ) = 2 + cos(2θ)

2 cos(2θ) = -1

cos(2θ) = -1/2

2θ = arccos(-1/2) + 2nπ   or   2θ = 2π - arccos(-1/2) + 2nπ

(where n is any integer)

2θ = 2π/3 + 2nπ   or   2θ = 4π/3 + 2nπ

θ = π/3 + nπ   or   θ = 2π/3 + nπ

In the interval [0, 2π), the solutions are θ = π/3, 2π/3, 4π/3, 5π/3.

For the second equation, rearrange the previous identity to arrive at

cos(2θ) = 1 - 2 sin²(θ) = 2 cos²(θ) - 1

Then

cos(2θ) + 7 cos(θ) = 8

2 cos²(θ) - 1 + 7 cos(θ) = 8

2 cos²(θ) + 7 cos(θ) - 9 = 0

(2 cos(θ) + 9) (cos(θ) - 1) = 0

2 cos(θ) + 9 = 0   or   cos(θ) - 1 = 0

cos(θ) = -9/2   or   cos(θ) = 1

Since |-9/2| > 1, and cos(θ) is bounded between -1 and 1, the first case offers no solutions. This leaves us with

cos(θ) = 1

θ = arccos(1) + 2nπ

θ = 2nπ

so that there is only one solution in [0, 2π), θ = 0.

The evaluation of the electricity cost for the 439 kWh of energy used in the month of January by Mr. Makhubelam, based on the Lifeline Tariff system is as follows;

The energy unit kWh, (kilowatt-hour) represents the amount of energy that a 1 kW (1,000 watts) appliance consumes in one hour.

Tariff definition; A tariff is a duty or taxation on a class of services or goods, such as imported goods or services, by the government of a country to safeguard local industries from external competition, such that the goods or services imported become highly priced.

The Lifeline Tariff is an initiative put in place by the government to ensure households that consume less amount of electricity, each month are provided with the electricity at a low cost.

Whereby the Lifeline Tariff system used to calculate Mr. Makhubela's electricity bill at the Aquapark in Greater Tzaneen municipality is 2.5462 Rand/kWh, we get;

The amount of electricity Mr. Makhubela uses in January = 439 kWh

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Answer:

What are the answer choices??

Step-by-step explanation:

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Answer:

A state is defined as a territory with its own government and borders within a larger country. An example of a state is California. The supreme public power within a sovereign political entity. Hope this helps!

Step-by-step explanation:

Segments MS and QS are therefore congruent by the definition of bisector. Therefore, the correct answer option is: D. MS and QS.

In Mathematics and Geometry, a perpendicular bisector is a line, segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.

This ultimately implies that, a perpendicular bisector bisects a line segment exactly into two (2) equal halves, in order to form a right angle that has a magnitude of 90 degrees at the point of intersection.

Since line segment NS is a perpendicular bisector of isosceles triangle MNQ, we can logically deduce the following congruent relationships;

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Complete Question:

The proof that ΔMNS ≅ ΔQNS is shown. Given: ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. Prove: ΔMNS ≅ ΔQNS

We know that ΔMNQ is isosceles with base MQ. So, MN ≅ QN by the definition of isosceles triangle. The base angles of the isosceles triangle, ∠NMS and ∠NQS, are congruent by the isosceles triangle theorem. It is also given that NR and MQ bisect each other at S. Segments _____ are therefore congruent by the definition of bisector. Thus, ΔMNS ≅ ΔQNS by SAS.

NS and NS

NS and RS

MS and RS

MS and QS

13773847837383738373733338

Step-by-step explanation:

\({:}\longrightarrow\)\(\sf 2 (x+4)+(x+1)=6 (2x)\)

\({:}\longrightarrow\)\(\sf 2x+8+(x+1)=12x \)

\({:}\longrightarrow\)\(\sf 2x+8+x+1=12x \)

\({:}\longrightarrow\)\(\sf 2x+x+8+1=12x \)

\({:}\longrightarrow\)\(\sf 3x+9=12x \)

\({:}\longrightarrow\)\(\sf 12x=3x+9 \)

\({:}\longrightarrow\)\(\sf 12x-3x=9 \)

\({:}\longrightarrow\)\(\sf 9x=9 \)

\({:}\longrightarrow\)\(\sf x={\dfrac {9}{9}}\)

\({:}\longrightarrow\)\(\sf x=1 \)

Answer:

ans is A

area = l*b

area=(5/6)*(4/6)=20/36=5/9

Answer:

x = 65

Step-by-step explanation:

the sum of the interior angles of a quadrilateral = 360°

sum the angles and equate to 360

x + 95 + 118 + 82 = 360

x + 295 = 360 ( subtract 295 from both sides )

x = 65

Answer:

9/20

Step-by-step explanation:

1/4=.25

1/5=.20

add .25 and .20 and you get .45

convert .45 into a fraction in which you can just use the fractions provided and all you got to do is match the decimal on a calculator

Answer:

17/-4

Step-by-step explanation:

Answer:

-4.25

I hope this helps!

Answer:

The equation of this line is y = -4.

Answer:

y=-4

Step-by-step explanation:

zero slope m=0

y-y1=m(x-x1)

y-(-4)=0(x-(-9))

y+4=0

y=-4

Answer:

B. 9/20\(\pi\)

Step-by-step explanation:

the circumference is 2\(\pi\)r. Since the radius is one, that would be 2\(\pi\).

81/360=0.225, or 22.5% of the circumference.  22.5% of 2\(\pi\) is 0.45\(\pi\).  0.45=9/20, so the answer is B.

CHECK: 2\(\pi\) = 6.283

6.283x0.225=0.14137, or 9/20\(\pi\)

Answer:

6÷3÷4= 0.75

Step-by-step explanation:

Each son will drink 0.75 liters of soda everyday to finish 6 liters of the soda in 4 days

Answer:

b

Step-by-step explanation:

y=-2x+10

y=-2×0+10 y=10

y=-2×1+10 y=8

y=-2×2+10 y=6

y=-2×3+10 y=4

Answer: B. y = –2x + 10

Step-by-step explanation:

First calculate the wages per employee:

Empoyee A:

Worked 40 hours

Hourly wage $11/hour

Total wage=

Answer:

41.93 degrees

Step-by-step explanation:

\(3x^2-15x= 15\\\\x^2 -5x = 5\\\\x^2-5x-5=0\\\\\Delta = 25+20\\\\\Delta = 45\\\\\\x = \dfrac{5\pm \sqrt{\Delta}}{2}\\\\\\x = \dfrac{5\pm \sqrt{45}}{2}\\\\\\x = \dfrac{5\pm 3\sqrt{5}}{2}\\\\\\\)

Answer:

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

Simplify in below steps:

To find a particular solution of the non-homogeneous equation and the general solution of the equation, we can use the method of variation of parameters.

First, let's find the Wronskian of the homogeneous solutions y1(x) and y2(x):

W(y1, y2) = | y1 y2 |

| y1' y2' |

We have y1(x) = sin(x) / √x and y2(x) = cos(x) / √x. Differentiating these functions, we get:

y1'(x) = (cos(x) / √x - sin(x) / (2√x^3))

y2'(x) = (-sin(x) / √x - cos(x) / (2√x^3))

Substituting these values into the Wronskian:

W(y1, y2) = | sin(x) / √x cos(x) / √x |

| (cos(x) / √x - sin(x) / (2√x^3)) (-sin(x) / √x - cos(x) / (2√x^3)) |

Expanding the determinant:

W(y1, y2) = (sin(x) / √x) * (-sin(x) / √x - cos(x) / (2√x^3)) - (cos(x) / √x) * (cos(x) / √x - sin(x) / (2√x^3))

Simplifying:

W(y1, y2) = -1 / (2√x)

Now, we can find the particular solution using the variation of parameters formula:

y_p(x) = -y1(x) * ∫(y2(x) * g(x)) / W(y1, y2) dx + y2(x) * ∫(y1(x) * g(x)) / W(y1, y2) dx

Here, g(x) = 3x√xsin(x). Substituting the values:

y_p(x) = -((sin(x) / √x) * ∫((3x√xsin(x)) * (-1 / (2√x))) dx + (cos(x) / √x) * ∫((3x√xsin(x)) / (2√x)) dx

Simplifying the integrals:

y_p(x) = -(∫(-3sin^2(x)) dx) + (∫(3xcos(x)sin(x)) dx)

Integrating:

y_p(x) = 3/2 (xsin^2(x) - cos^2(x)) - 3/2 (xcos^2(x) + sin^2(x)) + C

Simplifying:

y_p(x) = 3x(sin^2(x) - cos^2(x)) + C

The general solution of the equation is given by the sum of the homogeneous solutions and the particular solution:

y(x) = C1 * (sin(x) / √x) + C2 * (cos(x) / √x) + 3x(sin^2(x) - cos^2(x)) + C

where C1, C2, and C are arbitrary constants.

Answer: \(\frac{9}{16}\)

Step-by-step explanation:

We need to find the ratio of girls to the total number of students. That means our ratio is going to be 72 (the number of girls) over 56+72 (boys + girls, the total number of students).

When you add 56+72, you'll get 128 in the denominator. Continuing to simplify the fraction, you'll end up with:

\(\frac{72}{128}\) = \(\frac{9}{16}\)

Depending on what format your teacher wants, this can be written as \(\frac{9}{16}\) or 9:16.

Answer:

1 gallon 3.99

reason

2  1/2 gallon= 4.58

one   1 gallon = 3.99

better deal if you get the one gallon

Answer:

(1, 1)

Step-by-step explanation:

not 100% sure though, but hope it helps

Answer:

2/15

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

The equivalent value of the fraction is A = 2/15

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first fraction be p

Let the second fraction be q

Now , A = p/q

when the value of p = 2/5

And , when the value of q = 3

On simplifying the equation , we get

A = ( 2/5 ) / 3

So , the left hand side of the equation is equated to the right hand side by the value of ( 2/5 ) / 3

A = ( 2/5 ) / 3

A = ( 2/5 ) ( 1/3 )

On simplifying , we get

A = 2/15

A = 0.133333

Therefore , the value of A = 2/15 = 0.133333

Hence , the fraction is A = 2/15

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The solution to the inequality is x >= 2.

To solve this inequality, we will first isolate the variable x on one side of the inequality.

Starting with the given inequality:

3/4x - 2/3 >= 5/6

We can simplify by adding 2/3 to both sides:

3/4x >= 5/6 + 2/3

Then, we can simplify the right-hand side:

3/4x >= 5/6 + 4/6

3/4x >= 9/6

Simplifying further, we get:

3/4x >= 3/2

Now, we can isolate the x variable by multiplying both sides by 4/3:

x >= (3/2) / (3/4)

x >= 2

Therefore, the solution to the inequality is x >= 2.

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Given:

The objective is to select the system of equations with the correct solution.

Explanation:

Consider part (A), the equations are given as.

Substitute equation (1) in equation (2).

Answer:

16/25 (B)

The complete question related to thus found on brainly (ID: 10153234) is stated below:

The two triangular prisms shown are similar. The dimensions of the larger prism were multiplied by a scale factor of to create the smaller prism.

When the large prism was reduced, the surface area changed by a factor of

A. 64/125

B. 16/25

C. 4/5

D. 10/8

Find attached the diagram

Step-by-step explanation:

In dilation, two figures have same shape but different size.

The triangular prism was dilated to create a new prism.

The larger triangular prism is the original shape

The smaller triangular prism is the new shape

Let the scale factor = p

For larger prism: the length = breadth = height = 10unit

For smaller prism: the length = breadth = height = 8unit

Surface area of smaller triangular prism = p × surface area of larger triangular prism

p = (Surface area of smaller triangular prism)/(surface area of larger triangular prism)

In similar shapes, the ratio of their areas = square of the ratio of their corresponding sides.

Let's take the height of each shape

Ratio of their corresponding sides (height) = 8/10

p = ratio of areas = (8/10)²

p = 64/100

p = 16/25

Answer:

16/25

Step-by-step explanation:

edge 2021

a) The distance from point P to the pole  is: 6.2 m

b) The height of the Pole is: 6.2 m

The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.

Now, we are given that:

The angle of elevation of the top of the pole =  45°

Angle of elevation of the top of the pole = 58°.

|PQ|= 10m

a) PR is distance from point P to the pole and using trigonometric ratios, gives us:

PR/sin 58 = 10/sin(180 - 58 - 45)

PR/sin 58 = 10/sin 77

PR = (10 * sin 58)/sin 77

PR = 8.7 m

b) P O can be calculated with trigonometric ratios as:

P O = PR * cos 45

P O = 8.7 * 0.7071

P O = 6.2 m

Now, the two sides of the isosceles triangle formed are equal and as such:

R O = P O

Thus, height of pole R O = 6.2 m

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