Help please!!!!!!!!!!

The exact values of cos 2θ and sin(θ/2) are 9/25 and ± 0.955 respectively

Given that: sinθ = (2√2)/5  and π/2 < θ <  π

This implies θ is between angles 90° (π/2) and 180° (π). So θ  is in the 3rd quadrant as shown in the attached image.

Since  sinθ = (2√2)/5, we labeled the sides as shown in the image

Using the attached image:

cosθ =  -√17 / 5 (adj. / hyp.)

Using trigonometry identity:

cos2θ = 1 - 2sin²θ

cos2θ = 1- 2((2√2)/5)²

cos2θ = 1 - 16/25

cos2θ = 9/25

sin(θ/2) = ±√((1-cosθ)/2)

sin(θ/2) = ±√( (1 -(-√17 / 5))/2)

sin(θ/2) = ± 0.955

Therefore, the exact value of cos 2θ is 9/25 while the exact value of sin(θ/2) is ± 0.955

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The mass of the CO2 produced IS 630 Kg

Gasoline is a kind of fuel that is composed mostly of isooctane. In most engines, gasoline is widely used hence the demand for the product is high. We know that the combustion of an alkane (of which gasoline is one) would produce carbon dioxide and water according to a balanced reaction equation.

The balanced reaction equation for the combustion of gasoline is shown in the image attached to this answer.

Since  a Puerto Rico hospital uses 3 gallons of gasoline per hour, and there are 24 hours in a day, it the follows that 72 gallons of gasoline are used per day. This 72 gallons is the equivalent of 272.88 L

Now;

Given that the density of gasoline = 748.9 g/L

Mass of gasoline = 748.9 g/L * 272.88 L = 204 Kg

Number of moles of gasoline =  204 * 10^3/114 g/mol = 1789.5 moles

If 2 moles of gasoline produces 16 moles of CO2

1789.5 moles produces  1789.5 moles * 16 moles/2 moles = 14316 moles

Mass of CO2 =  14316 moles * 44 g/mol = 630 Kg

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Answer:

Step-by-sTrue

tep explanation:

Answer:

1: False

2: True

3: True

4: True

5: False

Step-by-step explanation:

The length of the fence must be 618cm

The volume that it can hold is 1,909,620 cm³

First, the fence is just equal to the circumference of the cylinder, remember that the circumfernce of a circle of diameter D is:

C = П*D

Here we use П = 3, then:

C = П*206cm

C = 3*206cm = 618cm

Now the volume, for a cylinder of diameter D and height H, the volume is:

V = П*(D/2)²*H

Replacing the values that we know we will get:

V = 3*(206cm/2)²*60cm = 1,909,620 cm³

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Answer:

my guess is 135 because there both the same corners

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

900-(105+150+140+135+125+135)= 110

The advertising revenue models would best suit the organization needs is option (A) Bidding for ad words

Here the organization wants to buy specific keywords to accurately target the audience who would want to see these ads

The aim of the organization is to get a high effective exposure rate and engagement rate without invading consumer privacy

Bidding for ad words states that the amount of money you are willing to spend for a single click on a given keyword.

Here they will get high effective exposure rate and engagement rate without invading consumer privacy

Therefore, the best advertising revenue model is option (A) Bidding for ad words

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Answer:

approx 26%

Step-by-step explanation:

you try find the multiplier

200000 * 1. ???? ^3= 400000

rearrange equation

\(\sqrt[3]{\frac{400000}{200000} }\)       =   multiplier

1.25992105

subract one

0.25992105

multiply by 100 to get percentage

25.9%

rounded to whole number = 26%

For this problem, 0.25 in = 50 m. So

11 in = (11 in) • (50/0.25 m/in) = 2200 m

Alternatively, if 0.25 in = 50 m, that means 1 in = 200 m. So 11 in = 11 (200 m) = 2200 m.

Answer:

they said each pizza

Step-by-step explanation:

that means it isn't only one pizza but maybe a ton of them

Answer:

d

Step-by-step explanation:

the answer for this isss d

Answer:

17.5 units^2

Step-by-step explanation:

The area for a triangle is calculated by multiplying height with base and that divided by 2

The height of this triangle is 7 units and the base is 5 units

7*5/2 = 17.5 units^2

Answer:

Plot each graph on the same coordinate system.

f(x)=−2

(2)x+4

Step-by-step explanation:

A) The Slope is: 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is: y = 2x + 4

The general form of equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the given graph, we can see that the slope is gotten from the formula:

A) Slope = (y₂ - y₁)/(x₂ - x₁)

Thus:

Slope = (10 - 4)/(3 - 0)

Slope = 6/3

Slope = 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is:

y = 2x + 4

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Answer:

60

Explanation:

1/2 of 80 is 40. 1/4 of 80 is 20. Add them and you get 60.

Answer: -27

Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.

3, 9, -3, 3, -9, -3, -15, -9, -21, ?

We can start by looking at the differences between consecutive terms in the list:

9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12

Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:

-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21

Therefore, we predict that the most probable next number in the list is -27.

Answer:

20?

Step-by-step explanation:

Answer:

Equation: 55D+40F+25L

Solution:$1595

Step-by-step explanation:

Equation: 55D+40F+25L

                55(6)+40(11)+25(33)

                330+440+825

Solution: $1595

The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:

b = 10.

The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.

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Answer:

the answer is 2.5 which in not greater than 6 but less than 5

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

Okay so, if we do the math 5 x 1/2 we get 2.5 right? Once we get 2.5 is that bigger or smaller. That would be smaller! So no the answer is not greater than 6, it is less than 5!

Hope this helps!

The solution using correct step of substitution in the equation y=2x-1 4x+y=2 is x = 1/2 and y = 0

y = 2x - 1

4x + y = 2

4x + y = 2

4x + (2x - 1) = 2

4x + 2x - 1 = 2

6x - 1 = 2

6x = 2 + 1

6x = 3

x = 3/6

x = 1/2

y = 2x - 1

y = 2(1/2) - 1

= 2/2 - 1

= 1 - 1

y = 0

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Answer:

negative linear relationship

Step-by-step explanation:

Part I: The correct formula is D. ((x₁ + x₂)/2, (y₁ + y₂)/2)

Part II: The midpoint of the segment with endpoints (-2, -1) and (0, 9) is (-1, 4)

From the question, we are to determine the formula for calculating the midpoint of a segment

The midpoint of a segment can be determined by using the formula,

Midpoint = ((x₁ + x₂)/2, (y₁ + y₂)/2)

The correct formula is D. ((x₁ + x₂)/2, (y₁ + y₂)/2)

II. To determine the midpoint of the segment with endpoints (-2, -1) and (0, 9)

x₁ = -2

y₁ = -1

x₂ = 0

y₂ = 9

Putting the parameters into the formula,

Midpoint of the segment = ((-2 + 0)/2, (-1 + 9)/2)

Midpoint of the segment = (-2/2, 8/2)

Midpoint of the segment = (-1, 4)

Hence, the midpoint of the segment with endpoints (-2, -1) and (0, 9) is (-1, 4)

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Given the condition regarding B and C being nonnegative real numbers, we can conclude \(|A|^2\) ≤ BC.

The given condition states that 0 ≤ B - 2 Re(λA) + |λ|^2 C for all complex numbers λ, which means that the real part of the expression is nonnegative. If C ≠ 0, we can choose λ = A/C and simplify the expression as follows:

Dividing both sides by C, we get

Multiplying both sides by C, we obtain

This means that |A|^2 is nonnegative and cannot be greater than BC.

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The implicit derivative is given as follows:

dx/dt(x = 4)  = 1/12.

The function in this problem is given as follows:

y = 3x² + 1.

The implicit derivative, relative to the variable t, is given as follows:

dy/dt = 6x dx/dt.

(the derivative of the constant 1 is of zero).

The parameters for this problem are given as follows:

x = 4, dy/dt = 2.

Hence the derivative is obtained as follows:

2 = 6(4) dx/dt

dx/dt = 2/24

dx/dt = 1/12.

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Answer:

\(x = 62\)

Step-by-step explanation:

\(44 + 74 + x = 180 \\ 118 + x = 180 \\ x = 180 - 118 \\ x = 62\)

Answer:

x=62

Step-by-step explanation:

We know that the angles in a triangle are equal to 180.

x+44+74=180

x+118=180

x=62

First isolate y on both then graph

And

Update:-

In both equations slope is equal so lines are parallel hence no solutions

Answer:

D.  no solution

Step-by-step explanation:

Given system of equations:

\(\begin{cases}2y-4x=6\\y-2x=7\end{cases}\)

The solution to a graphed system of equations is the point(s) of intersection.

From inspection of the graphs (attached), there is no point of intersection so there is no solution.

Proof

Rearrange the given equations to make y the subject:

Equation 1

\(\implies 2y-4x=6\)

\(\implies 2y=4x+6\)

\(\implies y=2x+3\)

Equation 2

\(\implies y-2x=7\)

\(\implies y=2x+7\)

Slope-intercept form of a linear equation:  \(y=mx+b\)

(where m is the slope and b is the y-intercept)

Therefore, the slope of both equations is 2.  When the slopes of two lines are the same, the lines are parallel ("inconsistent") and therefore never intersect. Hence proving that there is no solution to the given system of equations.

Answer: 28

Step-by-step explanation:

4*7=28

First write down the unit ratio that is involved.

In this case, it's train carriage/doors.

Next, we set up our proportion.

We know that for every train carriage, there are 4 doors.

So we have 1/4.

We are asked how many doors will there be is there are 7 carriages.

So we have 7/x.

The 7 must go on the top because our unit ratio says

that we must put train carriage/doors.

So we have 1/4 = 7/x.

Solving from here, we use the means-extremes property.

This states that the product of the extremes, (1)(x),

equals the product of the means, (4)(7).

So we have 1x = 28 or just x = 28.

This means that for 7 carriages, there are 28 doors.

Answer:

(- 3, 1.5)

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

Given system:

The first expression is ready to be substituted as no further operation is required to simplify it.

Find x: