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ddd [48]
2 years ago
7

Work out the size of the interior angle of a regular 18-sided polygon.

Mathematics
1 answer:
qaws [65]2 years ago
4 0

Answer:

160°

Step-by-step explanation:

The formula below gives the measure of an interior angle of a regular polygon of n sides.

[(n - 2)180]/n

[(18 - 2)180]/18

16(10)

160

Answer: 160°

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What is the 32nd term of the arithmetic sequence where a1 = 12 and a13 = -60
Olin [163]

Answer:

The 32nd term of Arithmetic sequence is -174

Step-by-step explanation:

Given: a_1=12, a_{13}=-60

We are given two term of the Arithmetic sequence.

Formula:

a_n=a+(n-1)d

For  a_1=12

a=12

For a_{13}=-60

a+12d=-60

Using two equation solve for a and d

12+12d=-60

1+d=-5

d=-6

We need to find 32nd term

a_{32}=a+31d

a_{32}=12+31(-6)

a_{32}=12-186

a_{32}=-174

Hence, The 32nd term of Arithmetic sequence is -174

5 0
3 years ago
Read 2 more answers
How many gallons of pure alcohol should be added to 40 gallons of a 20% solution so
Rudik [331]

Answer:

8/3

Step-by-step explanation:

i put equations as this:

x+40 = y

where x is galllons of pure mixture and y is the gallons of the new mixture

the other equation i id was:

x+0.2(40) = 0.25y

x+8 = 0.25y

y = 4x+32

solve using substitution

(x+40) = 4x+32

x = 4x-8

-3x = -8

x = 8/3

3 0
3 years ago
Bill found a pair of running shoes for $57. The regular price was $68.99. He also found a sweat suit that was originally $37.80.
mestny [16]

Answer: i believe bill saved $21.44

Step-by-step explanation: 68.99-57=11.99

37.80-25%=28.35

37.80-28.35=9.45

9.45+11.99=21.44

8 0
3 years ago
99. What is the greatest prime factor of 5,355?<br> A. 17<br> B. 51<br> C. 119<br> D. 131<br> E. 153
NemiM [27]
Hello,

5355 is divisble by 3 since 5+3+5+5=18 is divisible by 3
5355=3*1785
1785 is divisble by 3 since 1+7+8+5=21 is divisible by 3
1785=3*595
595 is not divisible by 3 but by 5
595=5*119
119 is divisible by 7 since 1*2+1*3+9*1=14 is divisible by 7.
119=7*17

17 is prime
Answer A



8 0
3 years ago
Running at an average rate of 4 meters per second, a sprinter ran to the end of a track. The sprinter then jogged back to the st
yaroslaw [1]
<h2>Length of track is 168 meter</h2>

Step-by-step explanation:

Let l be the length of track.

Running speed = 4 m/s

Jogging speed = 2 m/s

Total time taken = 2 minutes 6 seconds. = 126 seconds

That is

            \frac{l}{4}+\frac{l}{2}=126\\\\0.75l=126\\\\l=168m

Length of track is 168 meter

5 0
3 years ago
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