1.Elisa drew a triangle with coordinates (2, 4), (5, 3), and (7, 2). She drew an image of the triangle with coordinates (−1, 4), (2, 3), and (4, 2). Which rule best describes the transformation?

Using the unit circle to find sin 240 and cos 240, without using a calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.

To find sin 240 and cos 240 without a calculator, we can use the unit circle, which is a circle with radius 1 centered at the origin in a two-dimensional coordinate system. The unit circle provides a convenient way to define the sine and cosine of an angle in terms of their coordinates on the circle.

The sine of an angle is the y-coordinate of the point on the unit circle corresponding to that angle, and the cosine of an angle is the x-coordinate of the point on the unit circle corresponding to that angle.

For an angle of 240 degrees, we can find the corresponding point on the unit circle by constructing a line from the origin to the point on the circle.

we can see that the y-coordinate of the point is negative, so sin 240 = -sin (240 - 180) = -sin 60 = -1/2.

The x-coordinate of the point is also negative, so cos 240 = -cos (240 - 180) = -cos 60 = -√3/2.

We can use a calculator to check our answers by entering sin(240) and cos(240) with parentheses around the 240, as requested by the calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.

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Answer:

10

Step-by-step explanation:

                                                          im smart

Answer:

Five hundred fifty-four and 10/100.

Step-by-step explanation:

I think? I hope this helps :/

To solve the inequality 2x < 12, we need to isolate x on one side of the inequality sign. We can do this by dividing both sides by 2:

2x < 12

x < 6

Therefore, the solution to the inequality is x < 6. This means that all values of x that are less than 6 satisfy the inequality. We can represent this graphically on a number line:

<=======()------6-------------->

The open circle () indicates that x cannot be equal to 6, but can be any value less than 6. The arrow indicates that the inequality is true for all values of x to the left of the open circle.

In summary, the solution to the inequality 2x < 12 is x < 6.

I'm 15 BTW

The table that represents exponential growth is the second table.. The second column is labeled y with entries 2, 4, 6, 8. A 2-column table has 4 rows.

Exponential growth simply means a process that increases quantity over time. It occurs when the instantaneous rate of change of a quantity with respect to time is proportional to the quantity itself.

Exponential growth is the pattern of data which shows sharper increases over time. In finance, compounding creates exponential returns and the savings accounts with a compounding interest rate can show exponential growth.

In this case, the second table described represents an exponential function. It has a common ratio of 4, meaning that each y-value is multiplied by 4 to get to the next value. Here, every time the X's increase by 1, the Ys increase by a multiple of 4.

One of the best examples of exponential growth is observed in bacteria. Here, it takes bacteria roughly an hour to reproduce through prokaryotic fission. This illustrates exponential growth.

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Answer:

7s + 2 would be an expression

Answer:

7x+2? Or maybe 7x (x) 2

Step-by-step explanation:

The coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).

Translation on the coordinate plane is sliding a point or figure in any direction without any changes in size or shape.

During translation, the coordinates of the vertices of a figure or point change, and they slide left or right, up, or down without changing size or shape.

Given the question above, we need to find the coordinates of the vertices for the image of the pre image that are translated 4 units right.

So,

\(\rightarrow\sf \boxed{\boxed{-5+4=1=\bold{(-1,2)}}}\)

\(\rightarrow\sf \boxed{\boxed{1+4=5=\bold{(5,3)}}}\)

\(\rightarrow\sf \boxed{\boxed{-3+4=1=\bold{(1,0)}}}\)

Thus, the coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).

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Answer:

x = 145

Step-by-step explanation:

x and 35° lie on a straight line and are supplementary angles , sum to 180°

x + 35 = 180 ( subtract 35 from both sides )

x = 145

1/4π radians is approximately equal to 45 degrees.

To convert a value from radians to degrees, multiply the value by 180/π. For example, to convert π/4 radians to degrees, multiply π/4 by 180/π to get 45 degrees. This conversion is useful for converting angles between the two units of measurement.

Degrees = Radians × 180/π.

Therefore, to convert 1/4π radians to degrees, we have:

Degrees = (1/4π) × (180/π) ≈ 45°

Hence, 1/4π radians is approximately equal to 45 degrees.

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Answer:

Step-by-step explanation:

Start with y intercept (Where the line crosses the y-axis)

You place the first dot on (0,2)

Negative slope goes down

For the second dot, you go down one and move two to the right

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

436.8m -------------------> 62.08s

xm -------------------------->1s

Using cross multiplication:

Answer:

Given expression = −50x+100.

Let us understand the structure of the above expression.

Actually above expression is written in slope-intercept form.

y= mx+b, where m is the slope and in other words we call a slope " rate of change", and b is the y-intercept, we take b as fix value.

If we compare −50x+100 by slope-intercept form mx+b, we can see that coefficent of x is -50 there,

Therefore, m=-50.

So, the rate of change of the bank account balance(in dollars per month) = $50/month.

And because it is a negative 50, so we could say the rate of decrease per month is $50.

Step-by-step explanation:

Answer:

g(x) = f(x–3) + 2

Step-by-step explanation:

If g(x) is just 3 spaces to the right and 2 spaces up from f(x), then g(x) = f(x–3) + 2

Answer:

slope intercept form is: y = mx + b

b: the starting length is 18

m: grows 8in per year

x: age (in years)

equation : y= 8x + 18

Step-by-step explanation:

Answer:

C. Yes, no two ordered pairs in this list has a repeat of the domain element.

Step-by-step explanation:

An equation that produces a set of ordered pairs defines a function, but it needs to be a proper function!

A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. Which means that answer C is correct.

Answer:

C. Yes, no two ordered pairs in this list has a repeat of the domain element.

Step-by-step explanation:

ODY 2022

For each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.

This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.

Let's assume that x pounds of Guatemalan coffee are used per pound of the blend.

Given information:

Cost of Guatemalan coffee = $11/lb

Cost of the other coffee = $5/lb

Desired cost of the blend = $8/lb

Total weight of the blend = 6 pounds

To find the ratio of Guatemalan coffee to the total blend, we can set up the equation:

\((x \times 11 + (6 - x) \times 5) / 6 = 8\)

In this equation, \((x \times 11)\) represents the cost of the Guatemalan coffee in the blend, and\(((6 - x) \times 5)\) represents the cost of the other coffee in the blend.

The numerator is the total cost of the blend, and we divide it by 6 (the total weight of the blend) to find the cost per pound.

Now, let's solve the equation for x:

(11x + 30 - 5x) / 6 = 8

6x + 30 = 48

6x = 48 - 30

6x = 18

x = 18/6

x = 3

Therefore, for each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.

This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.

To summarize, to achieve a cost of $8 per pound for a 6-pound bag of blend, Cold Beans should use 3 pounds of Guatemalan coffee per pound of the blend.

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Answer:

B. -3

Step-by-step explanation:

y + 2 = -3(x - 5)

y + 2 = -3x - 15

y = -3x - 15 - 2

y = -3x - 17

y = mx + b

m = -3

can i get brainliest please?

Answer:

B (-3,3)

Step-by-step explanation:

coordinates are x,y and h has -3x and 3y

Answer:

1800 words = 1 hour

1800 words = 60 minutes

Divide by 60: 30 words per minute.

Let me know if this helps!

Answer:

The other person is correct

Give them brainliest :)

Step-by-step explanation:

Posted on: 2-24-2021 at 8:55am

Positive quote of the day: “Every day may not be good... but there's something good in every day.”

Answer:

-6 3/4

Step-by-step explanation:

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

−34×91=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

−3×94×1 = −274

This fraction cannot be reduced.

The fraction

−274

is the same as

−27÷4

Convert to a mixed number using

long division for -27 ÷ 4 = -6R3, so

−274 = −6 3/4

Therefore:

−34÷19 = −6 3/4

Answer:

\(a_n=2^{n-1}\)

Step-by-step explanation:

This is a geometric sequence with first term 1 and common ratio 2. Therefore,

\(a_n=2^{n-1}\)

Answer:

9a-2=7

Step-by-step explanation:

4a+ 5a-2=5+3-1

To simplify each side, combine like terms.

4a+5a = 9a

5+3-1 = 7

The equation becomes:

9a-2=7

Answer:

A: 2/5

B: -0.2

C: -4/5

Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Answer:

Step-by-step explanation:

Direct variation problems can easily be solved with proportions, namely:

\(\frac{x}{y} :\frac{2}{5}=\frac{4}{y}\) and cross multiply to get

2y = 20 so

y = 10

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:

Step-by-step explanation:

U={x|x∈N and x<10}

or U={1,2,3,4,5,6,7,8,9}

B={x|x∈N and x is even and x<10}

or

B={2,4,6,8}

C={x|x∈N and x<10}

or

C={1,2,3,4,5,6,7,8,9}

(B∩C)={2,4,6,8}

(B∩C)'={1,3,5,7,9}

Answer:

30°

Step-by-step explanation:

\(height \: of \: the \: tower \: (h)\: = 80 \sqrt{3} \: m \\ distance \: of \: the \: observer \: (d) = 240 \: m \\ \\ let \: \theta \: be \: the \: angle \: of \: elevation \\ \\ \therefore \: tan \theta = \frac{h}{d} \\ \\ = \frac{80 \sqrt{3} }{240} \\ \\ = \frac{ \sqrt{3} }{3} \\ \\ \therefore \: tan \theta = \frac{1}{ \sqrt{3} } \\ \\ \implies \: tan \theta = \tan \: 30 \degree \\ \\ \huge{ \red {\therefore \: \theta \: = 30 \degree}}\)