what is the sum of the angles for a polygon of 62 sides


hurry pls okk​

Answer:

-32

Step-by-step explanation:

- 2 + 6 * -5 = -32

Answer:

- 32

Step-by-step explanation:

- b + 6 c

Where we've

- ( 2 ) + 6 ( -5 )

- 2 - 30

Answer:

a) Brain sweep out 4 radians

b) Brian is -0.3922 km to the right of the center of the ski trail

c) Brian is -0.4541 km above of the center of the ski trail

Step-by-step explanation:

Given the data in the question;

circular ski trail radius = 0.6 km

Derek starts at the 3-o'clock position and travels 2.4 km in the counter-clockwise direction.

a) How many radians does Brian sweep out?

arc length = 2.4 km

from the diagram;

arc length = rθ

θ = arc length / r

θ = 2.4 / 0.6

θ = 4 radians

Therefore, Brain sweep out 4 radians

b) When Brian stops skiing, how many km is Brian to the right of the center of the ski trail?

from the diagram;

x = rcosθ

we substitute

x = 0.6 × cos(4)

x = 0.6 × -0.65364

x = -0.3922 km

Therefore Brian is -0.3922 km to the right of the center of the ski trail

c) When Brian stops skiing, how many km is Brian above of the center of the ski trail?

from the diagram;

m = rsinθ

m = 0.6 × -0.7568

m = -0.4541 km

Therefore, Brian is -0.4541 km above of the center of the ski trail

Answer:

final answer:

y-1= 3x_6

To solve our given problem, we must find the equation of the tangent line of the function f(x)=(x−1)3, at x=2.

.

.

Answer and Step-by-step explanation:

The equation should look like this:

-9(x - 86) = x - 48

Distribute the -9.

-9x + 774 = x - 48

Add 48 and 9x to both sides of the equation.

822 = 10x

Divide both sides of the equation by 8.

82.2 = x

[tex]\frac{411}{5}[/tex] = x  -- Fraction Form

#teamtrees #PAW (Plant And Water)

Answer:

x = 40°

Step-by-step explanation:

Reference angle = x°

Adjacent side length to reference angle = 7.2

Hypotenuse = 9.4

Apply trigonometric function CAH, which is:

Cos x = Adj/Hyp

Substitute

Cos x = 7.2/9.4

Cos x = 0.76596

[tex] x = cos^{-1}(0.76596) [/tex]

x = 40° (nearest tenth)

Answer:

angle B=74°

Step-by-step explanation:

the shapes are similar

Answer:

An obtuse angle is an angle that measures

more than 90 degrees and less than 180

degrees.

Answer:

answers in explanation...

Step-by-step explanation:

1. is C it has 1 obtuse angle

2.  b. a donut is not a polygon. ( bricks,windows,and stop signs are polygons)

3. d. a regular polygon.

4. ( i cannot do without the image)

5. a. rectangle

6.c. a regular polgony

7.(cannot do without image)

8.b. at least one

9.(cannot do without image)

10. ( cannot do wihtout image)

Answer:

Step-by-step explanation:

2, 6, 10, 14

Entonces, como puede ver, el patrón en la secuencia se suma por 4 como (+4)

(So, as you see that the pattern in the sequence is added by 4 )

2

2+4=6

6+4=10

10+4=14

Entonces, los próximos tres términos serán (Then, the next three terms will be)

14+4=18

18+4=22

22+4=26

Answer:

(-2) is the index of y make value 1/y².

Step-by-step explanation:

We need to find what index of y makes value 1/y².

Here, the numerator is 1 and the denominator is y².

We know that,

[tex]\dfrac{1}{a^x}=a^{-x}[/tex]

So, the given expression is :

[tex]\dfrac{1}{y^2}=y^{-2}[/tex]

Hence, (-2) is the index of y make value 1/y².

Answer:

Kindly check explanation

Step-by-step explanation:

Given the formula :

Pn = 25.8(1.0219)^h to predict the population of Ghana ;

The equation given is in the form of an exponential function:

The general form of an exponential distribution :

y = ab^x

a = Initial value ; b = constant multiplier or growth or Decay factor

Comparing :

The number in parenthesis = 1.0219 = b

b = Decay or growth factor :

Since b > 1 ; then We have a growth factor;

b = 1 + rate

1.0219 = 1 + rate

Rate = 1.0219 - 1

Rate = 0.0219

Hence, the population is growing at a rate of about (0.0219)*100% = 2.19%

Step-by-step explanation:

Hey there!

According to the question;

Side (a) = 4cm

To find : area

Now;

[tex]area = \frac{ \sqrt{3} }{4} {(a)}^{2} [/tex]

[tex]or \: area = \frac{ \sqrt{3} }{4} ( {4)}^{2} [/tex]

[tex]area \: = 4 \sqrt{3} [/tex]

Therefore, area of triangle is 6.92 cm² or 4√(3) cm².

Hope it helps!

Answer:

20

Step-by-step explanation:

mean is average

add all numbers get 160

divide by number of numbers (8) and get 20

Answer:

when you find the mean of a data set, you add all the numbers up then you divide the sum by the numbers in total. the sum is 160, you then divide by total of number which is 8 . your answer is 20. not sure if that made sense lol

Answer:

Tn = -13n +37

ordered list is 24, 11 , -2 , -15, -28 ,-41

Answer:

One equation can be y = 3/4X +2

Step-by-step explanation:

Any equation that has a slope of 3/4 will be parallel to the line 4Y = 3X + 5 because the slope is the same. This can also be shown visually using any graphing calculator.

Step-by-step explanation:

2x - 10y > -20

=> x - 5y > -10

or x - 5y +10 > 0

Answer:

20

Step-by-step explanation:

100/5=20

Answer:

Hobbies give teenagers a chance to meet new people, discover new passions, develop skills outside of school, and do something all kids (yes, teens are part kid) should do: have fun. ... That's where hobbies come in. Hobbies are a great way for teens to form an identity outside their family.

Step-by-step explanation:

Answer:

ok ok ok ok ok ok ok ok

Step-by-step explanation:

i don't know

9514 1404 393

Answer:

  x = 10·cos(θ) -4·cot(θ)

Step-by-step explanation:

Apparently, we are to assume that the horizontal lines are parallel to each other.

The relevant trig relations are ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

If the junction point in the middle of AB is labeled X, then we have ...

  sin(θ) = 4/BX   ⇒   BX = 4/sin(θ)

  cos(θ) = x/XA   ⇒   XA = x/cos(θ)

Then ...

  BX +XA = AB = 10

Substituting for BX and XA using the above relations, we get

  4/sin(θ) +x/cos(θ) = 10

Solving for x gives ...

  x = (10 -4/sin(θ))·cos(θ)

  x = 10·cos(θ) -4·cot(θ) . . . . . simplify

_____

We used the identity ...

   cot(θ) = cos(θ)/sin(θ)

Answer:

a) 12989 Ib

b) 2756.3 Ib

Step-by-step explanation:

Density of milk = 64.6 Ib/ft^3

Diameter of tank = 8 ft

radius = 4 ft

a) Calculate force exerted by milk on one end of tank when Tank is full

pressure on strip ≈ 64.6 ( 4 - yi ) i.e. surface of milk = 4

Total force = 129.2 *  [tex]\int\limits^4_4 {4-y} \sqrt{16-y^2} \, dx[/tex]

∴Force exerted  = 129.2 * Area of semicircle( radius =4 ) * radius

                        = 129.2* 8π * 4 ≈  12989 Ib

b) Force exerted when Tank is half full

pressure on strip ≈ 64.6 ( 0 - yi )  i.e. surface of milk = 0

Total force = 129.2 * [tex]\int\limits^0_4 {0-y} \sqrt{16-y^2} \, dx[/tex]

∴ Force exerted ≈ 2756.3 Ib

Answer:

$460

Step-by-step explanation:

Thus, a product that normally costs $400 with a 15 percent discount will cost you $340.00, and you saved $60.00. You can also calculate how much you save by simply moving the period in 15.00 percent two spaces to the left, and then multiply the result by $400 as follows: $400 x .15 = $60.00 savings.

There is a formula for the total interior angles of a polygon:

180(sides−2)=total interior angles

One of the angles is 100 and all the others are 110.

We can rewrite the equation.

Assume there is x number of sides.

There are x−1 number of angles, 110 degrees

180(x−2)=100+110(x−1)

180x−360=100+110x−110

70x−360=100−110

70x−360=−10

70x=3507x=35

x=5

There are 5 sides to the polygon.

We can check our answer:

180(sides−2)=total interior angles

Therefore it is true:

The polygon has 5 sides

I HOPE IT HELPS

HAVE A GREAT DAY

#Liliflim

Answer:

4! = 24

Step-by-step explanation:

4! = 4 * 3 * 2 * 1

4! = 24

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

Explanation:

There are 4 ways to select 3 aces where order doesn't matter. It's basically the same as saying there are 4 ways to leave out one ace.

Then we have 2 slots left to fill. There are (48*47)/2 = 1128 ways to do this where order doesn't matter. The 48 is from the fact there are 52-4 = 48 cards that aren't aces. We step down to 47 after picking the first non-ace card. The 2 in the denominator is to correct for double counting.

We found there were 4 ways to pick the three aces, and 1128 ways to pick the other two non-ace cards. Overall, there are 4*1128 = 4512 ways to pick all five cards where we have exactly 3 aces.

This is out of 52C5 = 2,598,960 ways to select any five cards from a 52 card deck. I'm using the nCr formula which is

[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]

Use n = 52 and r = 5 to get the value mentioned. The exclamation marks indicate factorial.

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

To recap, there are

Dividing the two values gets us the final answer

4512/(2,598,960) = 0.001736079047

This value rounds to 0.00174

The probability that exactly 3 of these cards are Aces is 0.004%.

Given that five cards are drawn randomly from a standard deck of 52 cards, to determine the probability that exactly 3 of these cards are Aces the following calculation must be performed:

Therefore, the probability that exactly 3 of these cards are Aces is 0.004%.

Learn more in https://brainly.com/question/821892

Answer:

x = 4  or x= -4

Step-by-step explanation:

2x^2 − 11 = 21

Add 11 to each side

2x^2 − 11+11 = 21+11

2x^2 = 32

Divide by 2

2x^2   /2  = 32/2

x^2 = 16

Take the square root of each side

sqrt(x^2) = sqrt(16)

x = ± 4

x = 4  or x= -4

Answer:

A

Step-by-step explanation:

slant height of the exagon = side/2 * √3 = 2.5√3 cm

area of the hexagon = (side * slant height)/2 * 6 = (5 * 2.5√3)/2 * 6 = 64,951905 cm^2

Volume of the prism = area of the hexagon * height = 974,278579 cm^3

Volume of the cylinder = radius^2 *  pi * height = 36 * pi * 15 = 1.696,460033 cm^3

volume of the kaleidoscope = 722,181454 cm^3

9514 1404 393

Answer:

Step-by-step explanation:

A Hamiltonian circuit visits each node once and returns to its start. There is no simple way to determine if such a circuit exists.

__

For graph 2, if there were a circuit, paths ACB, ADB, and AEB would all have to be on it. Inclusion of all of those requires visiting nodes A and B more than once, so the circuit cannot exist.

__

For graph 3, the circuit must include paths BAD and DFE. That only leaves node C, which can be reached from both nodes B and E, so path ECB completes the circuit.

9514 1404 393

Answer:

  22.5 ft

Step-by-step explanation:

The volume of a square base prism is given by the formula ...

  V = 1/3s²h

Then the height can be found to be ...

  h = 3V/s² = 3(120 ft³)/(4 ft)² = 22.5 ft

The height of the container is 22.5 feet.