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vodomira [7]
3 years ago
13

Find the measure of an exterior angle of a regular polygon with 20 sides. Round to the nearest tenth ?

Mathematics
2 answers:
Lisa [10]3 years ago
6 0
To find the interior angle, you use the formula ((n - 2) x 180) / n (where n is the number of sides). 
So, ((20 - 2) x 180) / 20 = 162
To find the exterior angle, you merely take away the interior angle from 180.
180 - 162 = 18, so the exterior angle is 18 degrees

Another, easier, way is to just divide 360 by n. All exterior angles always add to 360. Thus, 360 / 20 = 18 degrees
ratelena [41]3 years ago
4 0
Exterior angles always add up to 360°

Given that there are 20 sides sides
⇒ 1 exterior angle = 360 ÷ 20 = 18°

Answer: 18°
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What is the area of the sector with a central angle of 97 degrees and a diameter of 10cm
vampirchik [111]

Answer:

21. 162 (rounded to nearest thousandth)

Step-by-step explanation:

Area of a sector: (degree/360) (pi*radius^2)

degree given= 97

radius= diameter/2 = 5

(97/360) (pi*5^2)

(97/360) (pi*25) = 21.16211718

4 0
3 years ago
Marisol is painting on a canvas that has an area of 180 square inches. The length of the painting is 11/4 times the width. What
Alona [7]
Notice the picture below, see the length "l"?

well \bf Area=l\times w\qquad 
\begin{cases}
l=\frac{11}{4}w\\
Area=180
\end{cases}\\\\
-----------------------------\\\\
thus
\\\\
180=\cfrac{11}{4}w\times w

solve for "w", to find the width,

what's the length?  well, l = 11/4 w

3 0
3 years ago
A store owner paid $15 dollars for a book. she marked up the price of the book by 40% to determine it's selling price.
Tcecarenko [31]
A) $15 ÷ 40% =
15×.4= 6
15+6= 21

B) $38 × .25=9.5
38-9.5=28.50

28.50×.06=1.71
28.50+1.17=30.21

I think this is how you do it. would wait for other answers as well to double check.
6 0
3 years ago
Read 2 more answers
Write an equation to solve each problem and then solve it. b In a 3-digit number, the hundreds digit is four more than the ones
Misha Larkins [42]

Answer:

digits are: 0, 4, 8. The required number is: 480.

Step-by-step explanation:

→ Let ones digits is 'x', then according to the condition the hundreds digit is 'x+4', and the tens digit is '2(x+4)'.

→ According to the condition the sum of the digits is: x+(x+4)+2(x+4)=12.

→ After evaluation this equation, x=0 - this is ones digit;

→ x+4=0+4=4 - this is hundreds digit;

→ 2(x+4)=2(0+4)=8 - this is ten digit.

3 0
3 years ago
May anyone please help on these 2,Thank you so much,ill try to mark brainliest answer if i can
Neko [114]

Answer:

To the first question the answer would be > because you can change -3/4 to -9/12. Since these are negative numbers -5 is greater than -9.

The answer the second one would be B because I change all the fractions to decimals and 6/11 equals 0.54545454 and goes on and on So it was the greatest number (in decimal form). Also negaitve numbers are the least. :) Hope this helps

Step-by-step explanation:


4 0
3 years ago
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