2. Which system has an infinite number of solutions?
a. x+2=y
4= 2y-x

b. 2y + 6 = 4x
-3=y-2x

c. y+3=2x
4x=2y-3

d. y = 2x - 5
-2 = y - 2x

Answer:

sin(100°) = 0.985

sin(-100°) = -0.985

Step-by-step explanation:

In a unit circle, each point (x, y) on the circumference corresponds to the coordinates (cos θ, sin θ), where θ represents the angle formed between the positive x-axis and the line segment connecting the origin to the point (x, y).

Therefore, sin(100°) equals the y-coordinate of the point (-0.174, 0.985), so:

\(\boxed{\sin(100^{\circ}) = 0.985}\)

Similarly, sin(-100°) equals the y-coordinate of the point (-0.174, -0.985), so:

\(\boxed{\sin(-100^{\circ}) = -0.985}\)

In the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

The value of the sine of the angles is calculated by applying the following formula as follows;

The value of sin (100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, 0.985) as given on the coordinates of the unit circle.

sin (100) = 0.985

The value of sin (-100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, -0.985), as given on the coordinates of the circle.

sin (-100) = -0.985

Thus, in the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

Learn more about unit circle here: https://brainly.com/question/30403151

#SPJ1

Answer:

376.8

Step-by-step explanation:

Area of circle: A = πr^2 = π12^2 = 144π

Area of shade: A = (θ/360º) x πr^2 = (60/360) x 144π = 24π

Area not shaded = 144π - 24π = 120π = 120(3.14) = 376.8

Answer: D the size of small tub

Step-by-step explanation: he needs to more if he is going to get his moneys worth

Donna need to know the size of small tub in order to decide which size is the better buy. the correct option is D.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given that Donna could buy a half-gallon tub of ice cream for $4.99 or a small tub for $2.39.

We can see that he needs to more if he is going to get his moneys worth.

ice cream = $4.99

small tub = $2.39.

He need to know the size of small tub

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

The two angles are supplementary, so their measures add to 180º. Use this to solve for x :

(3x + 20) + x = 180

4x + 20 = 180

4x = 160

x = 40

Then the larger angle has measure

(3(40) + 20)º = (120 + 20)º = 140º

Using the circles:

A circle with a radius of 8 inches has an area and circumference given by:

A = πr² = π(8²) ≈ 201.06 square inches

C = 2πr = 2π(8) ≈ 50.27 inches

Rounding to the nearest hundredth:

A ≈ 201.06 square inches

C ≈ 50.27 inches

Therefore, the area is approximately 201.06 square inches and the circumference is approximately 50.27 inches.

A circle with a diameter of 20 meters has a radius of 10 meters. The area and circumference are given by:

A = πr² = π(10²) ≈ 314.16 square meters

C = 2πr = 2π(10) ≈ 62.83 meters

Rounding to the nearest hundredth:

A ≈ 314.16 square meters

C ≈ 62.83 meters

Therefore, the area is approximately 314.16 square meters and the circumference is approximately 62.83 meters.

Using these relationships, find the measures of some of the angles:

a) mJKP = mJKN (by vertical angles) and mJKP + mPKL = 90° (by complementary angles), so mJKN + mPKL = 90°.

b) mJKN = mJKP (by vertical angles) and mJKN + mKNM = 90° (by complementary angles), so mJKP + mKNM = 90°.

c) mJLK = mMPL (by alternate interior angles) and mMPL = 63°, so mJLK = 63°.

d) mKNM = 90° - mJKN (by complementary angles). We cannot determine the measure of mJKN.

e) mJLK = mMPL (by alternate interior angles) and mJLR = mJLP (by vertical angles), so:

mJLK + mKLP + mPLJ + mJLP = 360° (by the sum of angles in a quadrilateral)

63° + 90° + mPLJ + mJLP = 360°

mPLJ + mJLP = 207°

f) mJLR = mJLP (by vertical angles) and mKPL = 90°, so:

mJLR + mJLP + mKPL = 180° (by the angles in a triangle)

mJLR + mJLP + 90° = 180°

mJLR + mJLP = 90°

Find out more on circles here: https://brainly.com/question/24375372

#SPJ1

Image transcribed:

Use the circle below for questions 1-7.

1. Name a radius.

2. Name a diameter.

1.

2.

3.

R

3. Name a chord that is not a diameter.

P

4. Name a central angle.

4.

S

5. Name a minor arc.

5.

6. Name a major arc.

7.

7. Name a semicircle.

For questions 8 and 9, find the area and circumference. Round to the nearest hundredth.

8.

A =

C=

9.

A =

20 m

8 in

C=

10. If m∠MPL = 63°, find each measure.

K

a) mR= =

= m KNM d) 이이

=

b) - =

c) L

=

f) mJLR =

N

M

Gina Wilson (All Things Algebra, LLC), 201

Answer:

K=5

Step-by-step explanation:

12k-15=35+2k

12k=50+2k

10k=50

k=5

Answer:

\(k = 5\)

Step-by-step explanation:

\(12k - 15 = 35 + 2k\)

Our goal is to isolate k

\(12k - 15 = 35 + 2k\\\;\;\;\;+15 \;\;\;\;\;\;\; +15\)

\(12k = 50 + 2k\\-2k \;\;\;\;\;\;\;\; -2k\)

\(10k = 50\)

Now we have k isolated to one side. Our final step is to have k be just k, no coefficient. We can do this by dividing each side by the coefficient.

\(\large\frac{10k}{10} = \frac{50}{10} \\\\10k\;\div\;10 = k\\50\;\div\;10 = 5\\\)

\(\large\boxed {k \;=\;5}\)

~\(InLoveWithPugs\)

\(Moderator\\Math\ Enthusiast\)

A motion to time graph of an object having no unbalanced forces acting on it is a straight-line Displacement Time graph showing a proportional relationship between displacement and time.

Please find attached the required graph drawn with MS Excel

A proportional relationship is one in which the output variable is a constant multiple of the input variable.

Newton's first law of motion outlines the requirement for the application of an external force for the occurrence of a change in the motion state of a body. The law states that a body will continue in uniform linear motion or remain at rest unless acted upon by unbalanced forces.

A body that has no unbalanced forces acting on it is a body moving with a constant velocity, such that the rate of change of the displacement with time is a constant, which can be displayed by a straight-line displacement time graph that has a positive slope (increasing from left to right).

Please find attached the graph that best represents the motion of an object that has no unbalanced force acting on it, which is a straight-line directly proportional Displacement Time graph

Learn more about Newton's Laws of Motion here:

https://brainly.com/question/10542250

#SPJ1

Answer:

Volcanic gray

Step-by-step explanation:

I think because Volcanic Gray and Gray Fox look pretty close to the same color.  Sorry if it is wrong.

Answer:

7.6

Step-by-step explanation:

Divide 38 by 5 to get your answer

Answer:

2/20?

Step-by-step explanation:

Answer:

The right answer is letter C.

Step-by-step explanation:

I hope it's help

have a nice day and night

The mechanical advantage of the given machine is 40, Velocity ratio is 80 and efficiency is 0.5.

The given question is concerned with finding the mechanical advantage, velocity ratio and efficiency of a weight lifting machine.

The problem has provided the following information:

Weight of the object, W = 1 kN = 1000 NEffort applied, E = 25 NHeight through which the object is lifted, h = 100 mm = 0.1 m Distance through which the effort is applied, d = 8 m

We know that, mechanical advantage = load/effort = W/E and velocity ratio = distance moved by effort/distance moved by the load.Mechanical advantage

The mechanical advantage of the given machine is given by; Mechanical advantage = load/effort = W/E= 1000/25= 40Velocity ratioThe velocity ratio of the given machine is given by;

Velocity ratio = distance moved by effort/distance moved by the load.= d/h = 8/0.1= 80EfficiencyThe efficiency of the given machine is given by;

Efficiency = (load × distance moved by load) / (effort × distance moved by effort)Efficiency = (W × h) / (E × d)= (1000 × 0.1) / (25 × 8)= 0.5

Therefore, the mechanical advantage of the given machine is 40, velocity ratio is 80 and efficiency is 0.5.

For more questions on Velocity .

https://brainly.com/question/25749514

#SPJ8

Answer:

the top right and bottom right

Step-by-step explanation:

the macadamia nuts cost the most, meaning there doesn't have to be as much as the peanuts to get a high price. And the peanuts are cheaper than the macadamia nuts and the blueberries, meaning that there has to be more of them causing more weight.

Answer: The 2nd one and the 4th one on the right side.

Answer:

15

Step-by-step explanation:

An integer is a positive or negative whole number

Answer:

+15

-15

Step-by-step explanation:

An integer is colloquially defined as a number that can be written without a fractional component.

The median number of hours slept by boys the previous night is 6.5 hours, while the median number of hours slept by girls the previous night is 7 hours.

The given line plots display the results of a survey of 10 boys and 10 girls regarding the number of hours they slept the previous night. To find the median, follow these steps:Put the observations in ascending order.Divide the data into two equal parts.

To locate the median of the data, find the value that is at the center of the data when ordered.To calculate the medians of the given line plots, we must first arrange the observations in ascending order and divide them into two equal parts.

We have 10 boys and 10 girls in total, so we will have 20 observations for each line plot: Boys’ line plot: 4, 5, 6, 6, 6, 7, 7, 8, 9, 10Girls’ line plot: 5, 5, 6, 7, 7, 7, 7, 8, 8, 10When arranged in ascending order,

the observations are as follows: Boys’ line plot: 4, 5, 6, 6, 6, 7, 7, 8, 9, 10Girls’ line plot: 5, 5, 6, 7, 7, 7, 7, 8, 8, 10 Now,

we must determine the medians for each data set. Since each data set has an even number of observations, the median is the average of the two middle values.

The medians for each data set are as follows: Boys’ line plot: (6 + 7) / 2 = 6.5Girls’ line plot: (7 + 7) / 2 = 7

To learn more about : median number

https://brainly.com/question/26177250

#SPJ8

Answer:

First box: -5t+40

Second box: 20

Third box: -5(the t-2)+40

Step-by-step explanation:

I’m not sure if you go to rsm or not, but I’m here to help Bc I have done this question already

Just helping the rsm community Yw

Answer: 3rd one

Step-by-step explanation:

Given statement solution is :- If the expression is set equal to 10x + 5, then there would be one solution.

If the expression is set equal to 10x + 7, then there would be no solution.

If the expression is set equal to -10x + 5, then there would be one solution.

If the expression 12x - 6x + 5 + 4x is set equal to 10x + 5, then there would be solution(s).

If the expression is set equal to 10x + 5, then there would be one solution.

If the expression is set equal to 10x + 7, then there would be no solution.

If the expression is set equal to -10x + 5, then there would be one solution.

For such more questions on Solutions to Given Equations

https://brainly.com/question/13729904

#SPJ8

The difference between the observed and expected number of late departures is statistically significant, we need to perform a binomial test by calculating the probability of observing 16 or more late departures out of 300 flights assuming the null hypothesis is true. If the resulting p-value is less than 0.05, we can conclude that the difference is statistically significant.

Based on the given information, an airline with a 95% on-time departure rate has 16 out of 300 flights with late departures. The question asks whether the difference between what occurred (16 late departures) and what you would expect by chance is statistically significant.
To determine if the difference is statistically significant, we need to conduct a hypothesis test. In this case, we can use a binomial test since we are dealing with two possible outcomes: on-time departure or late departure.
The null hypothesis (H0) assumes that the observed number of late departures is equal to what would be expected by chance. The alternative hypothesis (Ha) assumes that there is a significant difference between the observed and expected values.
In this case, the expected number of late departures can be calculated by multiplying the total number of flights (300) by the expected on-time departure rate (95%). This gives us an expected value of 300 * 0.05 = 15.
To perform the binomial test, we can calculate the probability of observing 16 or more late departures out of 300 flights, assuming the null hypothesis is true. This probability can be calculated using the binomial probability formula or by using statistical software.
If the resulting probability (also known as the p-value) is less than the significance level (usually 0.05), we can reject the null hypothesis and conclude that the difference between what occurred and what would be expected by chance is statistically significant. Otherwise, if the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the difference is not statistically significant.
For more such questions on probability

https://brainly.com/question/30390037

#SPJ8

The equation of the line in standard form is y = 2x - 8.

Calculate the slope of the line using the point-slope form of a line given by y - y1 = m(x - x1), where m is the slope of the line, (x1, y1) is any point on the line.

Substituting the given x-intercept (4, 0) and y-intercept (0, 8) in the point-slope form of a line, we get:

y - 8 = m(x - 4)

Solve the above equation for m to calculate the slope of the line.

y - 8 = m(x - 4)

m = (y - 8)/(x - 4)

Substituting the coordinates of the y-intercept (0, 8) in the above equation, we get:

m = (0 - 8)/(4 - 4)

m = -8/0

Since the denominator is 0, the slope of the line is undefined.

The line's equation is provided by y = mx + b, where m is the slope and b is the y-intercept. Write this equation in standard form.

As the line's slope is ambiguous, its standard form equation is y = -8 + b, where b is the y-intercept.

Substituting the coordinates of the y-intercept (0, 8) in the equation, we get:

y = -8 + 8

y = 0

Thus, the line's equation is therefore y = 2x – 8 in standard form.

To learn more about slope visit:

https://brainly.com/question/16949303

#SPJ4

Answer:

It should be 15 c

Step-by-step explanation:

Basically you would move down the number line until you get to -8c and count how much you moved.

Answer:

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

As per recipe, 700 g apples is enough to make apple crumble for 8 people.

For 6 people Shahina needs:

Since she has 550 grams of apple, which is more than 525 grams, she can make it for 6 people.

Answer:

With 550g of apples and enough other ingredients, Shahina can make apple crumble for 6 people according to the given recipe.

Step-by-step explanation:

Let's compare the recipe requirements with the available ingredients to determine whether Shahina can make apple crumble for 6 people with the given ingredients.

The recipe serves 8 people and requires the following quantities of ingredients:

Shahina has 550g of apples, which is sufficient to meet the apple requirement of the recipe.

Now, let's calculate the ratio of the other ingredients needed per person

For sugar:

240g / 8 people = 30g/person

For flour:

180g / 8 people = 22.5g/person

For butter:

40g / 8 people = 5g/person

Since the recipe is designed to serve 8 people, we can use these ratios to adjust the quantities for 6 people:

For sugar:

30g/person * 6 people = 180g

For flour:

22.5g/person * 6 people = 135g

For butter:

5g/person * 6 people = 30g

Comparing these adjusted quantities to the available ingredients, we see that Shahina has enough sugar, flour, and butter to make an apple crumble for 6 people.

9514 1404 393

Answer:

  arc AC = 63°

Step-by-step explanation:

Arc BC is twice the measure of inscribed angle BAC, so is ...

  arc AC = 2×89° = 178°

The remaining arc of the circle is the difference between 360° and the sum of the other two.

  arc AC = 360° -119° -178°

  arc AC = 63°

The costs for each item in this problem are given as follows:

The costs are obtained solving a system of equations, for which the variables are given as follows:

Seven hot dog(s) and four hamburger(s) cost $16.00, hence:

7x + 4y = 16

1.75x + y = 4

y = 4 - 1.75x.

Four hot dog(s) and seven hamburger(s) cost $19.75, hence:

4x + 7y = 19.75

x + 1.75y = 4.9375.

Replacing the first equation into the second, the value of x is given as follows:

x + 1.75(4 - 1.75x) = 4.9375

2.0625x = 2.0625

x = 1.

The value of y is given as follows:

y = 4 - 1.75

y = 2.25.

More can be learned about a system of equations at https://brainly.com/question/13729904

#SPJ1

The estimated thickness of 2 sheets of paper, given the parameters, is 0.0216 cm.

The thickness of a sheet of paper can be measured using a screw gauge or vernier caliper.

If the thickness of a ream of paper, which contains 500 sheets, is given, a sheet will be x/500 thick.

The thickness of 2 sheets of paper will be the thickness of a sheet multiplied by 2.

Number of reams of paper in a box = 5 reams

1 ream = 500 sheets

500 sheets = 5.4 cm thick

The thickness of 2 sheets of paper = 0.0216 cm {5.4cm x 2/500)}

Thus, the estimated thickness of 2 sheets of paper, given the parameters, is 0.0216 cm.

Learn more about measuring thickness at https://brainly.com/question/10473688

#SPJ1

Assume that one ream of paper is 5.4 cm thick.

Answer:

a. a reflection over the x-axis and then a reflection over the y-axis

Step-by-step explanation:

If you plot it on a graph (you can use Desmos), you can see the triangles and only a. a reflection over the x-axis and then a reflection over the y-axis makes sense.

Answer:

thats c

Step-by-step explanation:

Answer:

london is correct. the triangles are similar so the ratios of corresponding side lengths are equal.

Step-by-step explanation:

the slope of the line is 2

Answer:

Step-by-step explanation: