Study the coordinate plane below. A certain polygon has its vertices at the following points: (1, 1), (1, 8), (4, 7), and (4, 3) What is the best description of this polygon? A. rectangle B. pentagon C. trapezoid D. parallelogram

Answer:

4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 45 = s / 4 sqrt(2)

Multiply each side by 4 sqrt(2)

4 sqrt(2) *sin 45 = s

4 sqrt(2) * 1/ sqrt(2) =s

4

Answer:

24 units

Step-by-step explanation:

2πr(X/2π)

2π(8)(3/2π) = 24

Answer:

24cm

Step-by-step explanation:

i  got it right on khan

Answer:

Step-by-step explanation:

30% off of 10000 is 3000

So the loss is 10000-3000=7000

30% gain on 10000 is 3000

so the gain is 10000+3000=13000

So in all there was no losses or gains. It still equals to 20000

A midpoint has coordinates of [tex](-2, -1)[/tex] we will call them [tex](x_m, y_m)[/tex].

The coordinates of a midpoint are constructed from coordinates of enpoints [tex](x_1,y_1),(x_2,y_2)[/tex], namely as a divided sum.

[tex]

x_m=\frac{x_1+x_2}{2}\implies x_1=2x_m-x_2 \\

y_m=\frac{y_1+y_2}{2}\implies y_1=2y_m-y_2

[/tex]

Now insert the numbers.

[tex]

x_1=2(-2)-(-6)=2 \\

y_1=2(-1)-4=-6

[/tex]

The result is an endpoint at [tex](2,-6)[/tex].

Answer:

133

Step-by-step explanation:

Answer is 133

[tex]answer \\ = 133 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

Answer:

t = u/r   -s

Step-by-step explanation:

r(s+t)=u

Divide each side by r

r/r(s+t)=u/r

s+t = u/r

Subtract s from each side

s+t-s = u/r  -s

t = u/r   -s

Answer:

5

Step-by-step explanation:

|a−b| − |c+d| , if a=−5; b=4; c=1; d=−3

= a + b - c + d

= 5 + 4 - 1 + (-3)

= 5 + 4 - 1 - 3

= 5 + 4 - 4

= 5

Answer:

y = 5

Step-by-step explanation:

40=8y

this is one step equation so you need to divide both sides by 8 to solve for y

40/8 = y

y = 5

Answer:

1st one: 7920   second: 792

Step-by-step explanation:

First way: you can use a calculator and plug in the values

Second way: you can use the formula for combination and permutation.

Permutation: 11!/ (11-4)!

Combination:12!/(12-5)!*5!

NOTE THAT: 5!= 5*4*3*2*1

Answer: 302 cm2

Step-by-step explanation:

Hi, to answer this question we have to calculate the surface area of the cubes and the rectangular prism, and the then add them (minus the overlaps)

Surface area of a cube (SAC)= 6 x side length ^2  

Since one side of each cube is covered by each other, we simply have to multiply the area of one side by 5 instead of 6.

SAC = 5 x (2)^2 = 20 cm2

Since both cubes are equal, we simply multiply it by 2:

20 x 2 = 40 cm2 (surface area of the 2 green cubes)

Surface Area of a rectangular prism (SAP) = 2wl + 2lh + 2hw

Where:

w = width (5); l = length (11); h = height (5)

SAP = 2 (5x 11) + 2 (11 x5) + 2 (5x5) = 110+110+50=270 cm2

Finally, adding both surface areas, and subtracting the base area of the bottom cube covered by the prism multiplied by 2 ( overlap )

270+40-2(4) = 302 cm2

Answer:

x = 15

Step-by-step explanation:

Given

5(x - 10) = 25 ( divide both sides by 5 )

x - 10 = 5 ( add 10 to both sides )

x = 15

Answer:

x=15

Step-by-step explanation:

[tex]5\left(x-10\right)=25[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}5\\\frac{5\left(x-10\right)}{5}=\frac{25}{5}\\x-10=5\\\mathrm{Add\:}10\mathrm{\:to\:both\:sides}\\x-10+10=5+10\\x=15[/tex]

Answer:

f^-1(3) = 1.719 or  f^-1(3) = 0.149

Step-by-step explanation:

for inverse function x and y coordinates are flipping so graph the function and find for what x - coordinate y- coordinate = 3

in case that f(x) = [tex]2x + \frac{1}{x-4}[/tex] than f^-1(3) = 1.719

in case that f(x) = [tex]2x + \frac{1}{x} -4[/tex] than f^-1(3) = 0.149

Answer: B

B (19/11) when divided = 1.72 repeat

of all the options given, this is the closest to the above answer.

Answer:

60°

Step-by-step explanation:

240° is between the two numbers 180°and 270°, So you're going to want to subtract 180 from 240 Thus, your answer will be 60!

hope you found this helpful :)

The reference angle is 60°. Option B

Since 240° is in the third quadrant

Formula for reference angle in the third quadrant

Reference angle = ∝ - 180°

Reference = 240 - 180

Reference angle = 60°

Thus, the reference angle is 60°. Option B

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Answer:

it will take 3 sticks to make pattern n

_

| |

Answer:

The x-intercept indicates that he has 29 ten dollar bills

and no five dollar bills. The y-intercept indicates that he has 58 five

dollar bills and no ten dollar bills.

Step-by-step explanation:

Answer:

(6-√21,  6+√21)

Step-by-step explanation:

x^2 - 12x = -15

(x - 6)^2 - 36 = -15

(x - 6)^2 = 21

x - 6 = ± √21

x = 6  ± √21

The solution set of the given equation is (6-√21,  6+√21)

Given is an equation, x² - 12x = -15 we need to solve it by completing the square.

Solving the equation,

x² - 12x = -15

(x - 6)² - 36 = -15

(x - 6)² = 21

x - 6 = ± √21

x = 6  ± √21

Therefore, the solution set is (6-√21,  6+√21)

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Answer:

Step-by-step explanation:

Angles x and z are supplementary, meaning that they add up to 180.  From the markings on the diagram, angle z and the angle measuring 20 are complementary, meaning they add up to 90. So the game plan is to find out the measure of angle z first, then use that to find the measure of angle x.

angle z = 90 - 20 so

angle z = 70 degrees. And

angle z + angle x = 180.  Subbing in our value for z:

70 + angle x = 180 and

angle x = 180 - 70 so

angle x = 110 degrees

Answer:

Step-by-step explanation:

The diagram representing the scenario is shown in the attached photo. From the photo, lines AO, BO and CO meet at a common point O. Since angle AOB is 155 degrees and angle COB is 15 degrees lesser, then angle COB is

155 - 15 = 140 degrees

Recall, the sum of the angles at a point is 360 degrees. Therefore, the sum of the angles at point O is

Angle AOC + 140 + 155 = 360

Angle AOC + 295 = 360

Angle AOC = 360 - 295 = 65 degrees

Answer:

4^-10

Step-by-step explanation:

(4^-2)^5

4^-2 x 5

= 4^-10

hope this helped have fun doing school haha

Answer:

[tex]\frac{1}{32768}[/tex]

Step-by-step explanation:

[tex](4^{-2})^{5}[/tex]

[tex](\frac{1}{4^{2} }) ^{5}[/tex]

[tex](\frac{1}{8})^{5}[/tex]

[tex]\frac{1}{32768}[/tex]

Answer:

1) 275

2)60

Step-by-step explanation:

1) 55 x 5 =275

2) 12 x 5 = 60

Hope it helps!

Answer:

2 vans and 7 busses

Step-by-step explanation:

Let x=# of busses

Let y=# of vans

55x+12y=409

x=y+5

55(y+5)+12y=409

55y+275+12y=409

67y+275=409

134=67y

y=2

There were two vans, and y+5 (7) busses

Answer:

B. -5.5 + (-8.3)

Step-by-step explanation:

The plus sign is basically just saying to add the two negatives just like how you would have added the negatives without the sign.

ANSWER B. -5.5 + (-8.3)

Answer:

Step-by-step explanation:

The answer is b

Answer:

Step-by-step explanation:

Surface area is the sum of the areas of the faces of a solid. It is measured in square units. Volume is the amount of space taken up by a solid. It is measured in cubic units. Surface area would be used to find the amount of wrapping paper for a gift, and volume would be used to find how much would fit into a box.

Answer: Surface area is the sum of the areas of the faces of a solid. It is measured in square units. Volume is the amount of space taken up by a solid. It is measured in cubic units. Surface area would be used to find the amount of wrapping paper for a gift, and volume would be used to find how much would fit into a box.

Step-by-step explanation:

Answer: Systematic Sampling

Step-by-step explanation: In the systematic sampling every nth person is taken from a population.

The teacher used sampling method that is the Systematic Sampling, The correct answer would be option (D) Systematic Sampling.

Sampling is defined as to draw valid conclusions from your results, you have to carefully decide how you will select a sample that is representative of the group as a whole.

The Systematic Sampling is defined as the Simple random sample and systematic sampling are comparable, but systematic sampling is generally a little simpler to carry out. Every person in the population is assigned a number, but instead of assigning numbers at random, people are picked at specified intervals.

For example, The company's workers are all listed in alphabetical order. If choose number 6 as your starting point at random from the first 10 digits. Every tenth individual on the list is chosen starting at number 6 (6, 16, 26, 36, and so on), creating a sample of 100 persons.

According to question,

Teacher is surveying her classes to see how she feels about an activity the class did the day before. Since she has such large classes, she surveys the first 10 students that walk into class.

In given problem having that every student in the population is assigned a number, but instead of assigning numbers at random, students are picked at specified intervals.

Hence, the teacher used sampling method that is the Systematic Sampling.

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Answer:

XZ

Step-by-step explanation:

The intersection of the 2 planes is along the line XZ

The intersection of the two planes in the image below is along the line XZ.

The intersection of the x-axis, the horizontal line, and the y-axis, the vertical line, creates a coordinate plane, which is a two-dimensional plane. The origin is the point at which these parallel lines cross one another.

A coordinate plane is a framework for graphing and describing lines and points. The coordinate plane is made up of a vertical (y) axis and a horizontal (x) axis.

In the given image there are two planes one is horizontal and the second is vertical they are intersecting at line XZ.  The intersection of the 2 planes is along the line XZ.

Therefore, the intersection of the two planes in the image below is along the line XZ.

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Answer:

A

Step-by-step explanation:

x+y=7

x-y=3

Firstly get x on its own.

You do this by adding the equations together. -y + y=0 (ethey cancel out but x+x=2x and 7+3=10

from this it shows us 2x=10

Now het x on its own by dividing by 2

this leaves us with x=5

Now input this into any of the two equations and you will get y.

For example,

5+y=7

7-5=y

y=2

input this into the equations (x,y)

which leaves us with...

(5,2)

Answer:

The answer is 2x² + 11x + 12.

Step-by-step explanation:

You have apply Distributive Law,

[tex]a(m + n) = am + an[/tex]

So for this question :

[tex](2x + 3)(x + 4)[/tex]

[tex] = 2x(x) + 2x(4) + 3(x) + 3(4)[/tex]

[tex] = 2 {x}^{2} + 8x + 3x + 12[/tex]

[tex] = 2 {x}^{2} + 11x + 12[/tex]

[tex](2x + 3)(x + 4) \\ = 2x(x + 4) + 3(x + 4) \\ = 2x \times x + 2x \times 4 + 3 \times x + 3 \times 4 \\ = {2x}^{2} + 8x + 3x + 12 \\ = {2x}^{2} + 11x + 12 \\ hope \: it \: helps[/tex]

Answer:

multiply bottom equation by 3

Step-by-step explanation:

That way, the -3y can be -9y and 9y and -9y can cancel.

Answer:

D. Multiply the bottom equation by 3

Step-by-step explanation:

A.

If you multiply the bottom equation by 7, then your equation will be:

7x+9y=8

14x-21y=7

Which will not get rid of y.

B.

If you multiply the top equation by 3, then your equation will be:

21x+27y=24

2x-3y=1

Which will not get rid of y.

C.

If you multiply the top equation by 2, then your equation will be:

14x+18y=16

2x-3y=1

Which will not get rid of y.

D.

If you multiply the bottom equation by 3, then your equation will be:

7x+9y=8

6x-9y=3

Which will get rid of y.