Drag each expression to the correct location on the solution. Not all expressions will be used.

Answer:

1024π, 3215.36

Step-by-step explanation:

The formula for the area of a circle is πr^2

R is the radius, which is already given to us. We need to find r^2

32x32=1024

1024π

We can leave it in terms of pi or we can solve it out.

1024x3.14=3215.36

1024π, 3215.36

Answer:

see below

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi * 32^2

A =1024 pi units^2

If we use pi = 3.14

A = 3215.36 units^2

If we use the pi button

A =3216.990877 units^2

Answer:

20

Step-by-step explanation:

I do not know how to explain it for you thanks

Answer:

2 and -3

Step-by-step explanation:

2x^2=4x

4x+2x=12

6x=12

how many times does 6 go into 12?

right, 2 times!

x=2

---

2x^2+2x-12=0

x^2+x-6=0

(x+3)(x-2)=0

X=-3 and 2

Answer:

1 hour

Step-by-step explanation:

Lea's speed = 22km/hr

Trevon's speed = 43km/hr in a direction opposite Lea's

How long does Trevon needs to drive before they are 65km apart.

Note : both took at the same time and in opposite direction.

Recall : speed = distance / time

Distance = speed * time

Distance between them = 65km

Let Trevon's distance = D2 = 43 * t

Lea's distance = D1 = 22 * t

t is the same since they both left at the same time.

D2 + D1 = 65

43t + 22t = 65

65t = 65

t = 65/65

t = 1 hour

Answer:

10: -11n^5

12: 6k^2 -6k+7

Step-by-step explanation:

Ok so what your gonna do is add or subtract the ones with the same exponent.

so -15+4= -11 since they are both n^5 you can add them so your answer is:

-11n^2

now you have 8k^2-k-5k+7-2k. so you are gonna rearrange them so the same exponents are together.(keep the sign in front in front, if no sign it is positive)

8k^2-2k^2-5k-k+7

add like exponents

6k^2-6k+7

a)

The rotation transformations are:

[tex] x=x' \cos \theta - y' \sin \theta\\

y= x' \sin \theta + y' \cos \theta[/tex]

where $(x', y')$ are new coordinates.

Since we want an anti-clockwise rotation of the axes, put $\theta= 90$° to get the required coordinates as $(4,-1)$

b)

The equation of the given line is $x-y=0$

Use the mirror formula:

[tex] x'= x_o - \frac{2 a}{a^2+ b^2}(a x_o + by_o +c)[/tex]

Replace $x$ by $y$ above to get the corresponding formula for the y-coordinate.

Here we have

$a=1$

$b=-1$

$c=0$

$x_o= 1$

$y_o =4$

Substitute these values to get the required coordinates as $(4,1)$

c)

$(5,3)$ maps onto $(1,1)$

Let's keep it simple here: To get the new coordinates you subtract 4 from the x coordinate and 2 from the y coordinate.

Thus for our point $(1,4)$ our image is $(1-4, 4-2)$ which is $(-3,2)$

=================================================

Explanation:

It might help to move either line m or line n to make them parallel to one another. This isn't required but it might help to see the answer better.

Angles 1 and 2 are between lines m and n, so they are interior angles. They are alternate interior angles as they are on alternate sides of the transversal line.

Angles 2 and 3 are on the same side of the transversal, and both are above their adjacent parallel line counterpart, so they are corresponding angles.

Angles 3 and 4 are outside the interior region, and they alternate on either side of the transversal. They are alternate exterior angles.

Angles 1 and 4 are corresponding for similar reasons as angles 2 and 3 are.

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

Notes:

Answer:

Step-by-step explanation:

sum of angles of parallelogram=360 degrees

adjacent angles add up to 180 degrees (supplementary angles)

Angle A=104 (DAB=104)

Angle D=180-104=76 degrees (angle ADB)

Angle B=60 degrees

Angle C=180-60=120 (DCB)    

Answer:

6.601

Step-by-step explanation:

We can remove the brackets, getting -5.12 + 4.7 + 7.021.

Then we can evaluate:

-5.12 + 4.7 + 7.021 = 6.601

Answer:

6.601

Step-by-step explanation:

(-5.12)-(-4.7)+(7.021) = -5.12 + 4.7+7.021 = 6.601

Answer:

Step-by-step explanation:

The formula for calculating the distance between 2 points is expressd as;

D = √(x₂-x₁)²+(y₂-y₁)²

Given the coordinates A(-7,1) B(-4,-3) C(3,-5) D(7,-2)

The disyance AB will be expressed as

AB = √(x₂-x₁)²+(y₂-y₁)²

Given the coordinates A(-7,1) B(-4,-3)

AB = √(-4-(-7))²+(-3-1)²

AB = √(-4+7)²+(-4)²

AB = √3²+4²

AB = √25

AB = 5

For CD with coordinates C(3,-5) D(7,-2)

CD = √(7-3)²+(-2-(-5))²

CD = √(4)²+3²

CD = √16+9

CD = √25

CD = 5

Congruent sides are sides that are equal. Hence since AB is equal to CD, this means that the distances AB and CD are congruent

Answer:

| 5x| = 0

Step-by-step explanation:

Absolute values have two solutions, one positive and one negative

The exception to this rule is when it is equal to zero

+0 = -0 = 0

5x = 0

x =0

Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

According to the question, data provided in the question is as follows

Given ratio

[tex]\frac{3}{4}[/tex] a pound of direct apples

[tex]\frac{1}{2}[/tex] a pound of dried pears

We can right

[tex]\frac{3}{4} : \frac{1}{2}[/tex]

Now we multiplied it to determine the amount of dried apples that required per pound of dried pears

[tex]\frac{3}{4} \times \frac{1}{2}[/tex]

[tex]\frac{3}{8}[/tex]

Hence the above is the answer and the same is to be considered by taking the pound of direct applies to pound of direct pears so that the correct amount could arrive

The amount of dried apple needed per pound of dried pear is 3/8

The question tells us that

3/4 pound of dried apples : 1/2 pound of dried pears

We are asked to find the amount of dried apples needed per pound of dried pears. To do this, we multiply both ratio together to get it in 1. This means that

3/4 * 1/2 = 3/8.

This then mean that for every pound of dried pear, 3/8 pound of dried apple was mixed.

see more here https://brainly.com/question/13419413

Answer:

20+15x

Step-by-step explanation:

because we start with 20 and every year 15 kids join we multiply 15 by x years with 20 kids so we get 20+15x

Answer:

it is D

Step-by-step explanation:

Answer: 3 min

Step-by-step explanation:

Step 1. Find the constant speed

you walked 1000 feet in 15 min

1000 ft/ 15min=200/3 ft / min

Step 2. Apply the constant speed to the left distance

You already walked 1000 feet and it is total 1200 feet

1200-1000=200 feet left

distance ÷ speed=time

200 ÷ (200/3)=3 min

Hope this helps!! :)

Please let me know if you have any question

Answer:

Hey there!

Let x be the number.

Thus, we have [tex](x-9)^3[/tex]

Hope this helps :)

Answer:

B. 200 km

Step-by-step explanation:

You can use the Pythagorean theorem for this question. First, you must find a and b. You can do this by finding the distance between North and South, and East and West. For this specific equation, you'd use 200 North - 30 North to get 170 miles on the y-axis. Then, you'd do 50 East + 100 West to get 150 kilometers distance on the x-axis. Now that you have 170 and 150, you can begin the equation

 170^2 +   150^2 = c^2

28900 + 22500 = c^2

                51400 = c^2

             √51400 = √c^2

                 ~226 = c

They are approximately 226 kilometers apart, and 226 is closest to 200, which is B.

While writing this, I felt like I wasn't explaining well. Please feel free to ask for clarification if you need.

The distance between the planes is closest to 200km

You can use the Pythagorean theorem for this question.

First, we need to find a and b. This is gotten by calculating the distance between North and South, and the East and West. From the question, we can say that, 200 North - 30 North gives 170 miles with respect to the y-axis. In the same vein, we know that 50 East + 100 West gives us 150 kilometers which is with respect to the x-axis.

Since we have found our a and b to be 170 and 150, we then use Pythagoras to find the answer to the equation.

170² + 150² = c²

28900 + 22500 = c²

c² = 51400

c =[tex]\sqrt{51400}[/tex]

c = ±226 km.

Since we can't have distance in negative, then our answer is 226 km. The answer asked us to find the closest distance, and thus, our answer is 200km.

Learn more about Pythagoras theorem here https://brainly.com/question/15138986

Answer:

time and weather data is dis right

Step-by-step explanation:

Step-by-step explanation:

Weather forecasting is the application of science and technology to predict the conditions of the atmosphere for a given location and time. People have attempted to predict the weather informally for millennia and formally since the 19th century. Weather forecasts are made by collecting quantitative data about the current state of the atmosphere at a given place and using meteorology to project how the atmosphere will change.

Once calculated by hand based mainly upon changes in barometric pressure, current weather conditions, and sky condition or cloud cover, weather forecasting now relies on computer-based models that take many atmospheric factors into account.[1] Human input is still required to pick the best possible forecast model to base the forecast upon, which involves pattern recognition skills, teleconnections, knowledge of model performance, and knowledge of model biases. The inaccuracy of forecasting is due to the chaotic nature of the atmosphere, the massive computational power required to solve the equations that describe the atmosphere, the error involved in measuring the initial conditions, and an incomplete understanding of atmospheric processes. Hence, forecasts become less accurate as the difference between current time and the time for which the forecast is being made (the range of the forecast) increases. The use of ensembles and model consensus help narrow the error and pick the most likely outcome.

There is a vast variety of end uses to weather forecasts. Weather warnings are important forecasts because they are used to protect life and property. Forecasts based on temperature and precipitation are important to agriculture, and therefore to traders within commodity markets. Temperature forecasts are used by utility companies to estimate demand over coming days. On an everyday basis, many use weather forecasts to determine what to wear on a given day. Since outdoor activities are severely curtailed by heavy rain, snow and wind chill, forecasts can be used to plan activities around these events, and to plan ahead and survive them. In 2009, the US spent approximately $5.1 billion on weather forecasting.[2]

History

Answer: 216 square units

====================================================

Explanation:

A common pythagorean triple you may be familiar with is the 3-4-5 right triangle. This has two legs of 3 and 4, and a hypotenuse of 5. The perimeter is 3+4+5 = 7+5 = 12. Note how this is a factor of 72.

If we multiply the perimeter (12) by 6, then 12*6 = 72. So we have scaled the triangle by a factor of 6. Each length is 6 times longer

the side length 3 becomes 3*6 = 18

the side length 4 becomes 4*6 = 24

the side length 5 becomes 5*6 = 30

The new perimeter is 18+24+30 = 42+30 = 72

The last step is to find the area. The two legs of this triangle are the base and height

area = 0.5*base*height

area = 0.5*18*24

area = 9*24

area = 216

-----

Or you could find the area of the 3-4-5 right triangle to get

area = 0.5*base*height = 0.5*3*4 = 6

then multiply by 36 to get 6*36 = 216. The 36 is the square of the scale factor 6 we applied above. The new lengths are 6 times longer, so the new area is 6^2 = 36 times larger.

Answer:

Neither

Step-by-step explanation:

The function is neither because if it was even it would follow the rules of:

[tex]f(-x)=f(x)[/tex]

and if it was odd it would follow the rules of:

[tex]-f(x)=f(-x)[/tex]

but instead it follows the rule:

[tex]-f(x)\neq f(-x))\\[/tex]

Answer:

Its D

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

f(0) = 7

f(1) = 2f(0) - 3 = 11

f(2) = 2f(1) - 3 = 19

f(3) = 2f(2) - 3 = 35

Answer:

the answer is 42

Step-by-step explanation:

let the number be ''x''

the difference between ''x'' and 12 can be written as

x - 12

4 times means multiplied by 4, so

4 (x - 12) = 120

4x - 48 = 120

4x = 120 + 48

4x = 168

x = 168/4

x = 42

Answer:

yes; -1² is 1.

if you put -1 in parentheses, like this (-1)², then it comes out as 1

Answer:

it is 1

Step-by-step explanation:

you have to put the number between parenthesis to give you the right answer. the calculator actually taking the minus sign separate from 1 because no brackets . Try (-1)²

Answer: x+12

We know that the area is length * width. Since length is x+4, we know

(x+4) * something = x^2+16x+48.

To find that something, note that 48 (from the right side) = 4 (from the left side) * 12. Why is this important? Well, then we know that the something is x+12.

This is because (x+4) * (x+12) = x^2 + 16x + 48. But just focus on this part: 48. Even if we put like 3x+12 or something, that would work out to 3x^2+28x+48. It's 48 every time.

Hope that helped,

-sirswagger21

Answer:

yes

Step-by-step explanation:

i think

Answer:

Yes, line L and line K are parallel because the slopes are equal.

Step-by-step explanation:

From the question given:

Line L contains point A(2, 2) and B(3, 6)

Line K contains point C(0, 5) and D(1, 9)

To know if the lines are parallel, we need to determine the slope of each line.

The slope of each line can be obtained as follow:

1. Determination of the slope of line L.

Line L contains point A(2, 2) and B(3, 6)

x1 coordinate = 2

x2 coordinate = 3

y1 coordinate = 2

y2 coordinate = 6

Slope = Chang in y coordinate / change in x coordinate

Slope = y2 - y1 / x2 - x1

Slope = 6 - 2 / 3 - 2

Slope = 4/1

Slope = 4

Therefore, the slope of line L is 4.

2. Determination of the slope of line K.

Line K contains point C(0, 5) and D(1, 9)

x1 coordinate = 0

x2 coordinate = 1

y1 coordinate = 5

y2 coordinate = 9

Slope = Chang in y coordinate / change in x coordinate

Slope = y2 - y1 / x2 - x1

Slope = 9 - 5 / 1 - 0

Slope = 4/1

Slope = 4

Therefore, the slope of line K is 4.

Summary

Line >>>>>>>>>>> Slope

L >>>>>>>>>>>>> 4

K >>>>>>>>>>>>> 4

From the above calculations, we can see that line L and line K has the same slope.

Therefore, line L and line K are parallel.