the number of sides of a regular polygon whose interior angle is 140​

Answers

Answer 1

Answer:

9 sides

Step-by-step explanation:

Two methods and the same answer = 9 sides

Method 1: Since the interior angle 140 degrees, the supplement of this is the exterior angle and equal to 40 degrees. Hence the number of sides is 360/40 = 9 sides.

Method 2: Since the exterior angle 140 degrees, The sum of the interior angles = (2n - 4)* right angles. So 140n =(2n - 4)* right angles, or

140n =(2n - 4)*90, or

140n = 180n - 360, or

40n = 360, or

n = 9 sides.

Hence the number of sides is 9 sides.

Answer 2

Answer:

9

Step-by-step explanation:

The sum of the interior angle and the exterior angle = 180°

Thus the exterior angle of the polygon = 180° - 140° = 40°

The sum of the exterior angles of a polygon = 360°, thus

number of sides = 360° ÷ 40° = 9


Related Questions

Find the solution for -3x - 5 = 10 “help me please

Answers

-3× - 5= 10+5

-3×=15

15÷-3 = -5

x= -5

A triangular pyramid with a height of 9 inches has a volume of 63 cubic inches. If the heights of a tringular bad is 6 inches what is the base length of the triangular base?

Answers

Answer:

9

Step-by-step explanation:

9X6

=54

63-54

=9

Matthew is training to participate in a half marathon. Each week, Matthew increases the number of miles he runs in the previous week by the same percent. The table below shows the number of miles he runs in weeks 1 and 2.

Week Number of Miles Run
1 12.5
2 15.5

Complete the sentence. Do not round your answer.
Matthew runs ____ miles in week 3.

Answers

Answer:14.58 miles.

Step-by-step explanation:

Matthew is training to participate in a half marathon.

The distance covered by Matthew on the first day is 12.5 miles.

The distance covered by Matthew on the second day is 13.5 miles.

The distance increased on the second day is, 13.5-12.5=1 mile.

The percentage will be,

=\dfrac{1}{12.5}\times 100\%

=0.08\times 100\%

=8\%

Hence, each day he runs 8% more. So the distance covered by him on day 3 will be,

=13.5+\left(13.5\times \dfrac{8}{100}\right)

=13.5+1.08

=14.58 miles

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Step-by-step explanation:

Answer:

Basic consensus is that that other answer is wrong. The actual answer is 19.22

Step-by-step explanation:

To find the common ratio you just do this, last number = 15.5, and first number = 12.5.

15.5/12.5 equals 1.24.

^That's the common ratio.^

using A(n) = a * r ^ n - 1,

you get 12.5 * 1.24 ^ 3 - 1, or just 12.5 * 1.24 ^ 2

and solving that problem, you get 19.22.

Confirm this by doing the same thing earlier, 19.22/15.5 is 1.24. Which is the ratio found earlier. So it checks out.

Trigonometry. This is an Tangent question.​

Answers

Answer:

The last option/ 30 degrees

Step-by-step explanation:

we use the pythagorean theoeom to say that the triangle is a right triangle. We know which one the right angle is, so the remaining two angles add up to 90 degrees. we eliminate the third option and the first. Then, eliminate the fourth and the second. The answer is either 42 or 30. It cannot be 42 because 42+56+70=168, and 168 is not equal to 180. So, the  answer is 30 degrees.

x=30 degrees

A die is rolled 260 times. Predict how many times it will show a 3 or a 5.

A. about 43
B. about 65
C. about 87
D. about 130
E. about 173

Answers

Answer:

E

Step-by-step explanation:

solve for x. 12x+252=324

Answers

Answer:

x = 6

Step-by-step explanation:

12x+252=324

Subtract 252 from each side

12x+252-252=324-252

12x =72

Divide each side by 12

12x/12 = 72/12

x =6

Answer:

the answer is attached to the picture

What is the value of b?


36

63

40
75

Answers

Answer:

[tex] \boxed{b\degree = 36\degree} [/tex]

Step-by-step explanation:

Property used: An exterior angle of a triangle is equal to the sum of the opposite interior angles.

[tex] = > 81 \degree + b \degree = 117 \degree \\ \\ = > b \degree = 117 \degree - 81 \degree \\ \\ = > b \degree = 36 \degree [/tex]

Your friend standing on a 45 foot balcony. He asks you to throw a baseball up to him. You throw a baseball with an initial upward velocity of 50 ft./s. Assuming that you released the baseball 6 feet above the ground, did it reach your friend? Explain.

Answers

Vertical motion formula is h = -16t^2 +vt +s where v is initial velocity and s is starting height:

h = -16t^2 + 50t +6

Solving for t: -50/-32 = 1.5625 seconds to reach maximum height.

Now replace t  and solve for h ( maximum height)

h = -16(1.5625)^2 +50(1.5625) + 6

h = 45.0625

The value for h is greater than the height of the balcony, so yes the ball reached  the friend.

please help with this question !

Answers

Answer:

g(-5) = -6

Step-by-step explanation:

g(-5) is the value of the function when x = -5

When x = -5 the function ( or y value) is -6

Correct answers only!


To the nearest cent, how much interest will she earn in 3 years?


Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

$5180.12

Step-by-step explanation:

B=4000(1+0.09)^3

Answer:

885.1

Step-by-step explanation:

p = 3000

r = 9/100 = 0.09

t = 3 years

B = 3000 * (1+ 0.09)^3

B = 3000 * (1.09)^3

1.09^3 = 1.09*1.09 * 1.09 = 1.295

B = 3000 * 1.295

B = 3885.10

So the interest is Balance - principle =  3885.1 - 3000 = 885.1

Please help!!! Keep in mind the triangles aren’t to scale!!!

Answers

Answer = 5

I don't feel like explaining it.

954 1850 1200 1200 1350 1999 1888
Calculate the average (arithmetic mean) of the list of numbers shown in the table. (rounded to the nearest tenth)

Answers

Answer:

1,491.6

Step-by-step explanation:

add all numbers:

954 + 1850 + 1200 + 1200 + 1350 + 1999 + 1888 = 10,441

divide sum by the numbers added:

10,441 / 7 = 1,491.6

Two spheres have radii 6 and 15. Find the ratios of the areas and the volumes.

Answers

Answer:

1st sphere has r1 = 6

=> Surface area S1 = 4 x pi x r1^2 = 4 x pi x 6^2 = 144pi

=> Volume V1 = (4/3) x pi x r1^3 = (4/3) x pi x 6^3 =288pi

2nd sphere has r1 = 15

=> Surface area S1 = 4 x pi x r1^2 = 4 x pi x 15^2 = 900pi

=> Volume V1 = (4/3) x pi x r1^3 = (4/3) x pi x 15^3 =4500pi

=> S1/S2 = 144pi/900pi = 0.16

=> V1/V2 = 288pi/4500pi = 0.064

Hope this helps!

:)

What is the area of the parallelogram?

Answers

Answer:

A=112 in. squared

Step-by-step explanation:

A=bxh=14·8=112

Step-by-step explanation: In this problem, we're asked to find the area of the parallelogram shown. Remember that a parallelogram is a quadrilateral with two pairs of parallel sides.

The formula for the area of a parallelogram is bh.

Since the base of the parallelogram is 14 inches and the height of the parallelogram is 8 inches, we can plug this information into the formula

to get (14 in.)(8 in.) which equals 112 in.².

the peach festival charges $5 for admission then$1.25 per pound of peaches picked. If Savanna went to the festival and picked 2.4 pounds of peaches,how many did she pay in total at the festival?

Answers

Answer:

I'm glad you asked!

Step-by-step explanation:

So let's do it step by step.

Already she has to pay $[tex]5[/tex] for going in.

She has [tex]2[/tex] whole pounds.

[tex]1.25[/tex] x [tex]2=2.5[/tex] or [tex]2 \frac{1}{2}[/tex]

Add $[tex]5[/tex] and $ [tex]2.5[/tex] .

[tex]5+2.5 = 7.5[/tex]

Now let's do $1.25 divided by 10.

[tex]$[/tex]$[tex]1.25[/tex] divided by $[tex]10[/tex] [tex]=0.125[/tex]

Now let's do [tex]0.125[/tex] times [tex]4[/tex]

[tex]0.125[/tex] x [tex]4 = 0.5[/tex]

Now let's add 7.5 to 0.5

[tex]7.5+0.5=8[/tex]

Corina is making punch for a family reunion. Her recipe calls for 2 and 1⁄2 cups of lemonade per batch. She plans to make 20 batches or punch for the reunion. ​How many gallons of lemonade does she need?

PLEASE NEED STEPS

Answers

Answer:

50

Step-by-step explanation:

2 1/2=5/2

(5/2)(20)=100/2

A laundry basket has 24 T-shirts In it 4 are navy 12 are red and the remaining or white.What is the probability of selecting green shirt?

Answers

Answer:

0%

Step-by-step explanation:

There are 4 navy shirts.

There are 12 red shirts.

The rest are white.

That means there isn't any green shirts.

I need help ASAP! I don’t understand this so I was hoping anyone would help

Answers

199.8, just use the Pythagorean theorem (a^2 + b^2 = c^2) where a is 24 and b is 18, once you find c multiply c by 6 to get your answer. C should be 33.286

A company is expanding its building area from 16,500 square feet to 20,460 square feet. What is the percentage increase of the area of the building space?

Answers

Answer: 24%

Step-by-step explanation:

A company is expanding its building area from 16,500 square feet to 20,460 square feet. To calculate the percentage increase in the area of the building space, we first find the difference. This will be:

20,460 - 16,500 = 3960

We then divide the difference by the former building area and then multiply by 100. This will be:

3960/16500 × 100

= 0.24 × 100

= 24%

The percentage increase of the area of the building space is 24%.

What is the value of 6[4-9.47?
-36
-33
-32
-30

Answers

Answer:

No the right answer is

Step-by-step explanation:

-36

The value of the expression A = 6[4-9.47] is A = -33

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 6 [ 4 - 9.47 ]

On simplifying , we get

A = 6 ( -5.47 )

On further simplification , we get

A = 6 x -5.47

A = -32.82

On rounding the value of A , we get

A = -33

Therefore , the value of A is -33

Hence , the equation is A = -33

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Troy puts $200.00 into an account to use for school expenses. The account earns 7% interest, compounded annually. How much will be in the account after 5 years? Use the formula A=P1+ r n nt, where A is the balance (final amount), P is the principal (starting amount), r is the interest rate expressed as a decimal, n is the number of times per year that the interest is compounded, and t is the time in years. Round your answer to the nearest cent.

Answers

Answer:

the final amount is = $280.51

Step-by-step explanation:

The standard formula for compound interest is given as;

A = P(1+r/n)^(nt) .....1

Given that;

Principal P = $200

Interest rate r = 7% = 0.07

Time t = 5 years

Final amount = A

Number of time compounded per year n = 1

Substituting the values;

A = 200(1+0.07/1)^(1×5)

A = 280.51

Therefore, the final amount is = $280.51

The Kelvin scale is an absolute temperature scale that can be used to calculate percent change in temperatures. The formula to convert Celsius to Kelvin is K = C + 273.15. What is the percent change if the temperature rises from 21 c to 29 c? Round to the nearest tenrh

Answers

You can use the formula k=C+273

The percentage change in temperature is 19.0%.

What is the percentage?

The percentage is a ratio that can be expressed as a fraction of 100.

Given that, the temperature rises from 21c to 29c.

The change in temperature is:

29c - 21c

= 4c

The percentage change in temperature from 21c is:

percentage change = (4c/21c)×100

                                 =4/21×100

                                 = 19.0%

Therefore, the percentage change in temperature is 19.0%.

Learn more on percentages here:

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Solve for x:
8x + 36°
5x + 60°​

Answers

hope it help you..if it help then plz mark as brainliest

Apply the distributive property to factor out the greatest common factor.
35 + 14 =

Answers

Answer:

2(5+2)

Step-by-step explanation:

The greatest common factor would be 7. So now 35/7 is 5 and 14/7 is 2. Now put it in distributive property! GCF on the outside and the new numbers we just got in the inside. There's your answer! Have a great day! :)

The price for the jacket is $96. The discount is 31.25%. The sales tax is 9.875%. The expression that represents this situation is Where represents the final price. The first term expresses the initial price. The second term is about the discount which has to be negative. The final term is about the sales tax which must be added to have the total price.

Answers

Answer: P = 96 - 30 + 9.48

Step-by-step explanation:

The price of the jacket is $96.

The discount is 31.25% and

The sales tax is 9.875%

To find the price paid, we subtract the discount from the original price and add the sales tax. This will be:

P=96 - (31.25% × 96)+(9.875% × 96)

P = 96 - 0.3125(96) + 0.09875(96)

P = 96 - 30 + 9.48

P = 75.48

Where,

P stands for the final price.

The first term (96) shows the initial price.

The second term (-30) is about the discount which has to be negative.

The final term (+9.48) is about the sales tax which must be added to have the total price.

The diameter of a circle measures 28 ft. what is the circumference of the circle? Use 3.14 for π, and do not round your answer. be sure to include the correct unit in your answer.

Answers

Answer:

87.92 ft

Step-by-step explanation:

The circumference of a circle can be found using the formula: c = 2pi(r) OR c = pi(d).

r stands for the radius, d stands for the diameter. Because you're given the diameter of the circle, you can simply multiply 28 by pi (3.14), and you'll get the circumference!

Which equation can be used to solve for x?
Choose from the Equation Bank please

Answers

Answer:

X=1/2*24

Step-by-step explanation:

X=1/2*24

X=1/2*24

(6x+4y=43)( 2x-3y=23)

Answers

Answer:

(8.5, - 2 )

Step-by-step explanation:

Given the 2 equations

6x + 4y = 43 → (1)

2x - 3y = 23 → (2)

Multiplying (2) by - 3 and adding to (1) will eliminate the term in x

- 6x + 9y = - 69 → (3)

Add (1) and (3) term by term to eliminate x, that is

13y = - 26 ( divide both sides by 13 )

y = - 2

Substitute y = - 2 in either of the 2 equations and solve for x

Substituting into (1)

6x + 4(- 2) = 43

6x - 8 = 43 ( add 8 to both sides )

6x = 51 ( divide both sides by 6 )

x = 8.5

Solution is (8.5, - 2 )

FIND ANSWER A AND B FOR 10 POINTS!!

Answers

Answer:

16A. 42 cm

16B. 7 cm  

Step-by-step explanation:

Will mark as brainliest if correct

Answers

Answer:

x = 2

Step-by-step explanation:

9^2 or 9(9) = 81

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