The sum of the interior angles of a polygon is 540. what polygon is this ​

Answer: a

Step-by-step explanation: simple math

Answer:

this is a right angled triangle

Step-by-step explanation:

It has a 90 degree angle

the hypotenuse is the longest

The other two sides adjacent to the right angle are perpendicular

It could also be called an isosceles right angled triangle

Answer:

Right angled and Isosceles

Step-by-step explanation:

Right angled because one corner of the triangle is marked with a square, which shows it is 90degrees.

Isosceles because 2 angles and 2 sides have been marked with similar lines and curves, which shows that they are equal in length. When 2 angles and 2 sides are equal, the triangle is isosceles.

Hope this helps.

Good Luck

Hey there! I'm happy to help!

We want to find how much paper we need to make the cup. So, we need to find the surface area of the cylinder, which is basically the "walls and floors" of the cup. So, this is the circle on the bottom and the surrounding stuff that goes up. There is no circular top to this cup, which will be important when finding the total area of paper.

So, first we need to find how much paper we need to make the bottom circle. The formula for the area of a circle is A=πr². This r represents the radius, or the distance from the center of the circle to the edge. We are given that the cup is 3 cm completely across, and the radius is be half of that, so the radius is 1.5 cm. Let's find the area. We will use 3.14 for π.

π×1.5²=7.065

Now, we need  to find the area of the walls of the cup. The wall is a rectangle that is basically wrapped around the circle. The height of the rectangle is the height of the cup and the length of the rectangle is the circumference (perimeter) of the bottom circle because the length of the rectangle wraps completely around the circle.

First, let's find the circumference of the circle. The circumference is the diameter (distance across the circle, so 3 cm) multiplied by π. We will use 3.14 for π.

3π=9.42

So, this means that the long side of the rectangle is 9.42 cm, and now we multiply this by the height.

9.42×6.4=60.288

Now, we add the rectangle area and the bottom circle area.

60.288+7.065=67.353

But, they want us to round to the nearest centimetre, so we will just say 67 square centimetres.

An important thing to note is that this is not  the area of a normal cylinder (one with a top and a bottom circle) because it is a cup so it does not have a top. If you have a cylinder with a top and a bottom, you would just multiply the area of the circle by two, so then you have the top and bottom. If that were the case, the area of our cylinder would be 74 cm with the numbers we have been given here.

Have a wonderful day!

Answer:

it is the second option

Step-by-step explanation:

Answer:

Measure of central angle is 3.665 radians

Step-by-step explanation:

In this question, we are trying to get the value of the central angle.

As we can see, the radius of the circle is 12cm while the length of the major arc is 14 pi cm.

Mathematically the length of an arc is calculated as follows;

Length of arc = theta/360 * 2 * pi * r

Plugging the values we have from the question;

14 pi = theta/360 * 2 * pi * 12

divide both sides by 2pi

7 = theta/360 * 12

360 * 7 = 12 theta

theta = (360 * 7)/12

theta = 210

Since 1 degree = pi/180 radian

it means 210 degrees = 210 * pi/180 = 3.665 radians

Answer:

[tex]\frac{7\pi }{6}[/tex]

Step-by-step explanation:

Khan Academy

Answer:

The number of black pieces needed to manufacture the ball is 11 black pieces

Step-by-step explanation:

Given that the number of pieces in the soccer ball = 32 pieces

The shape of the white piece = Hexagon

The shape of the black piece = Pentagon

Each black piece borders with only white pieces

Each white piece borders with three black pieces and three white pieces

For the first black pie  piece is borders to 5 white pieces total 6 pieces

Each of the five white pieced borders 3 pieced total 5 black pieces on the sides and one white piece on top to make an additional 10 piece total = 10 + 6 = 21 piece

Each black piece holds one white piece to add extra 5 pieces to make the total = 26

At the outermost shell of the arrangement, each of the white piece attached  to a black piece will attach to an extra black piece, bringing the total to 26 + 5 = 31,

The last piece is white

Total black piece = 1 + 5 + 5 = 11 black pieces.

Answer:

Step-by-step explanation:

We that the area of a circle is Pi times r^2 where r is the radius

Let A be the area of the first circle and S the area of the second one and T the total one

A=4^2× Pi

S=6^2× Pi

T = Pi( 4^2 +6^2)

= Pi ( 16+36) = Pi× 52

52 is the radius square

So r = root square 52 = 2 root square 13

Answer:

The Answer is 6 :)

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

f(x)=2^x

Let f(x) =8

8 = 2^x

Rewriting 8 = 2^3

2^3 = 2^x

The bases are the same so the exponents are the same

3=x

Answer:

(12, 190). This represents that after selling 12 ice creams, I gain $190.

Step-by-step explanation:

I just found a scatter plot online. Ignore the current label on the x-axis that says TemperatureC, I just changed that to ice creams. You can change the title of the graph to whatever you want.

Answer:

The slope of line MN is two thirds,

The slope of line RS is negative three-halves

and line RS is perpendicular to both line MN and PQ

Step-by-step explanation:

For the first two, I found the slope using the slope formula, and I know the third one is correct because that is what it says in the very beginning.

Hope this helped, sorry if it is a little hard to understand, it was pretty hard to understand. :)

The following statements are true:

The formula for finding the slope of a line is expressed as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Get the slope of MN:

For the line MN with coordinates M(-3, -1) and (3, 3).

[tex]m=\frac{3-(-1)}{3-(-3)}\\m=\frac{3+1}{3+3}\\m=\frac{4}{6}\\m_{mn}=\frac{2}{3}[/tex]

Get the slope of PQ;

For the line PQ with coordinates M(-3, -4) and (3, 0.5)

[tex]m=\frac{0.5-(-4)}{3-(-3)}\\m=\frac{0.5+4}{3+3}\\m=\frac{4.5}{6}\\m_{pq}=\frac{45}{60}\\m_{pq}=\frac{3}{4}[/tex]

Get the slope of RS

For the line RS with coordinates M(-2, 4) and (2, -2)

[tex]m=\frac{-2-4}{2-(-2)}\\m=\frac{-6}{2+2}\\m=\frac{-6}{4}\\m_{rs}=\frac{-3}{2}[/tex]

For two lines to perpendicular, hence;

M = -1/m

From the derives slopes, we can see that;

[tex]m_{rs} = \frac{-1}{m_{mn}}\\m_{rs}= \frac{-1}{\frac{2}{3} }\\m_{rs}=\frac{-3}{2}[/tex]

This shows that the lines MN and RS are perpendicular.

Based on the above calculations, the following statements are true:

Learn more here: https://brainly.com/question/23935638

Answer:

x= 15 and y=4

Step-by-step explanation:

Let's start by finding y first using the basic proportionality

now time to find x using the same way:

Answer:

31+34=65

hopefully petrified and useful and likewise please

Answer:

83.3 ft tall

Step-by-step explanation:

[tex]sin(40) = \frac{x}{125} \\x = 125 * sin(40)\\x = 80.34845[/tex]

Round to 80.3 and add Hudson's height

80.3 + 3 = 83.3ft tall

The kite is approximately 83.35 feet above ground.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

To solve for height h, we will use sine as sine related opposite side of a right triangle with hypotenuse.

Sin = opposite side / hypotenuse

Sin 40 = x/ 125

x = Sin 40 (125)

x = 125 (0.642)

x = 80.3

In order to find the height of kite off the ground, we will add the height of Hudson to 80.35 feet as well as he is flying the kite.

80.3 + 3 = 83.3 ft tall

Hence, the kite is approximately 83.35 feet above ground.

Learn more about trigonometric;

https://brainly.com/question/21286835

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Answer:

The number of adults that said exactly one coping mechanism are 25 adults

Step-by-step explanation:

Total number of adult in the group = 60 adults

The number that go on vacation vacation = 34

The number that go for a smoke break = 27

The number that listen to music = 41

The number that go for a vacation and smoke = 13

The number that smoke and listen to music = 16

The number that go for a vacation and listen to music = 20

The number that said two of the coping mechanism = 28

Set theory

We have;

n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(A∩C) - n(B∩C) + n(A∩B∩C)

Given that the following relations;

n(A∪B∪C) = 60

n(A) = 34

n(B) = 27

n(C) = 41

n(A∩B) = 13

n(A∩C) = 20

n(B∩C) = 16

Therefore;

60 = 34 + 27 + 41 -13 -  20 - 16 + n(A∩B∩C)

∴ n(A∩B∩C) = 60 - (34 + 27 + 41 -13 -  20 - 16) = 7

Given that 28 said exactly 2, we have;

Total number of respondents = Those that said exactly 1 + Those that said exactly 2 + Those that said exactly 3

Total number of respondents = 60

Those that said exactly 2 = 28

Those that said exactly 3 = n(A∩B∩C) = 7

Therefore;

60 = Those that said exactly 1 + 28 + 7

Those that said exactly 1 = 60 - (28 + 7) = 25

Alternatively, we have;

Those that said exactly one = n(A) -(n(A∩B) + n(A∩C) - n(A∩B∩C))  + n(B) - (n(B∩C) + n(A∩B) - n(A∩B∩C)) + n(C) - (n(A∩C) + n(B∩C) - n(A∩B∩C))  

= 34 - (13 + 20 - 7) + 27 - (16 + 13 - 7) + 41 - (20 + 16 - 7) = 25

60 - 28 - 7 = 25

The number of adults that said exactly one coping mechanism = 25.

Answer:

5.24 feet

Step-by-step explanation:

First find the circumference of the circle. The formula is C=2πr. The radius is five so the circumference is approximately 31.42 feet. That means that in 6 seconds, the unicorn travels about 31.42 feet. To find the feet traveled in one second, you must divide 31.42 by 6 which equals approximately 5.24 feet.

Answer:

3,000

Step-by-step explanation:

Loan = 20,000

Simple Interest per year = 5% of 20,000

=> [tex]\frac{5}{100}* 20,000[/tex]

=> 5 * 200

=> 1,000

Simple Interest for 3 years = 3 * 1000

=> 3,000

Answer:

3000

Step-by-step explanation:

SI = P × R × T

Use simple interest formula.

20000 × 5% × 3

1000 × 3

= 3000

Answer:

Answers are below

Step-by-step explanation:

a) I graphed the scatter plot below

b) As the length of the boats increases, the capacity of the boats increase as well.

c) When the boat is 20 ft long, it has a capacity of 8 passengers. You can tell this because at 19 ft, there are 8 passengers and at 21 ft, there are 10 passengers.

d) When the boat is 29 ft long, it has a capacity of 16 passengers. You can tell this by continuing the graph to reach 29 ft in the length of boats.

Answer:

Solution set = {25}

Step-by-step explanation:

=> [tex]-\sqrt{x} =5[/tex]

Dividing both sides by -1

=> [tex]\sqrt{x} = -5[/tex]

Taking square on both sides

=> x = 25

Solution set = {25}

Answer:

25

Step-by-step explanation:

Answer:

805/141

Hope this helps

Answer:

16.5+____+1.04

Step-by-step explanation:

1/1=(1*3)=(3.3*5)=16.5+____+1.04

Answer:

This represents 3 and one-third divided by two-thirds because 10/3 = 3 and 1/3.

Answer:

It is 3 and 1/3 divided by 2/3.  None of the choices given work.

Hope it helps <3

I hope this helps you

s-28+s-17=s+22

s=22+28+17

s=67°

Answer:

67°

Step-by-step explanation:

By remote exterior angle theorem of a triangle:

s - 28° + s - 17° = s + 22°

2s - 45° = s + 22°

2s - s = 45° + 22°

s = 67°

Answer:

D. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Step-by-step explanation:

Two figures are congruent if their vertices can be mapped into one another by appropriate rigid transformation or combination of rigid transformations. Examples of the transformation are; reflection, dilation, rotation and translation.

Comparing the two figures, it would be observed that they are not congruent. Since there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Answer:

it is D just took the test

Step-by-step explanation:

Answer:

  (A)  At the intersection of the first line with the third line, the bottom left angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 65 degrees.

Step-by-step explanation:

Alternate interior angles are supplementary when parallel lines are crossed by a transversal. The first description seems to be describing alternate interior angles. (See attachment)

_____

Comment on orientation

If the transversal is oriented horizontally, then the descriptions of the angles will be of different angles than assumed here.

Answer:

(A) the first diagram

Step-by-step explanation:

Answer:

(15)(0.75) and 0.7(15 – x) + 0.9x

Step-by-step explanation:

I did that assignment.

Answer:

its A

Step-by-step explanation:

Answer:

A. x > -3

Step-by-step explanation:

Well by looking at the graph we can tell that,

the line we can tell that the line goes to the right of of the number line,

Meaning x is greater than -3.

Thus,

x > -3.

Hope this helps :)

Answer:

3) [tex]\frac{(25)^{3/2} * (243)^{3/5}}{(16)^{5/4}*(8)^{4/3}}[/tex]

=> [tex]\frac{(5^2)^{3/2}*(3^5)^{3/5}}{(2^4)^{5/4}*(2^3)^{4/3}}[/tex]

=> [tex]\frac{5^3*5^3}{2^5*2^4}[/tex]

=> [tex]\frac{5^6}{2^9}[/tex]

4) [tex]\frac{3-2\sqrt{2} }{3+2\sqrt{2} }[/tex]

Multiplying and dividing by conjugate [tex]3-2\sqrt{2}[/tex]

=> [tex]\frac{(3-2\sqrt{2})(3-2\sqrt{2}) }{(3+2\sqrt{2})(3-2\sqrt{2})}[/tex]

=> [tex]\frac{9-6\sqrt{2}-6\sqrt{2} +8 }{9-8}[/tex]

=> [tex]\frac{17-12\sqrt{2} }{1}[/tex]

=> [tex]17-12\sqrt{2}[/tex]

Comparing it with [tex]a+b\sqrt{2}[/tex], we get

a = 17, b = -12

Answer: 0.0009

Step-by-step explanation:

Given : Babies born in a large hospital have a mean weight of 3366 grams, and a variance of 244,036.

i.e. [tex]\mu=3366[/tex]  and [tex]\sigma^2 = 244036\Rightarrow\ \sigma= \sqrt{244036}=494[/tex]

Sample size = 1118

Let [tex]\overline{X}[/tex] be the sample mean weight of babies.

Then, the probability that the mean weight of the sample babies would be greater than 3412 gram:

[tex]P(\overline{X}>3412)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{3412-3366}{\dfrac{494}{\sqrt{1118}}})\\\\=P(Z>\dfrac{46}{14.7743})\ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\\approxP(Z>3.11)\\\\= 1-P(Z<3.11)\\\\=1-0.9991=0.0009[/tex]

Hence, the required probability = 0.0009

Answer:

Jamie must sprint 107 meter to pass Shelly at point A.

Step-by-step explanation:

Circumference of a sector of the circle is represented by,

Circumference = [tex]\frac{\theta}{360}(2\pi r)[/tex]

where θ = central angle subtended at the center by an arc

r = radius of the circle

[tex]m(\widehat{AB})[/tex] = [tex]\frac{123}{360}(2\pi )(50)[/tex]

           = 34.1667π

           = 107.34 meter

           ≈ 107 meter

Therefore, Jamie must sprint 107 meter to pass Shelly at point A.