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o-na [289]
3 years ago
11

Find the area of a regular octagon with side lengths of 17.2 m and an apothem length of 20.8 m.

Mathematics
1 answer:
jek_recluse [69]3 years ago
5 0

Answer:

Pentagon a = 4.9 in. s = 7.1 in. /l ;/ >cvr'-. ~ j-?.1· '19~~. 5) Octagon a = 20.8 m s= 17.2m. ,4 ~;.>a-rt. ::: i, 17. z • t~f "g. ~ :::::, l'/?1 ,0 nt z, ... What is the length of the apothem to the nearest whole number

Step-by-step explanation:

Pentagon a = 4.9 in. s = 7.1 in. /l ;/ >cvr'-. ~ j-?.1· '19~~. 5) Octagon a = 20.8 m s= 17.2m. ,4 ~;.>a-rt. ::: i, 17. z • t~f "g. ~ :::::, l'/?1 ,0 nt z, ... What is the length of the apothem to the nearest whole number

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Find the common difference for the following sequence and fill in the missing terms. Show all calculations. 2, 13, 24, 35, __, _
Julli [10]

Step-by-step explanation:

Hey there!

Given sequences are; 2 , 13 , 24 , 35 , _ , _ .

Now,

Common difference (d) = 2nd term - 1st term. = 13-2 = 11

When we subtract 1st term from 2nd term we find 11 and when we subtract 2nd term from 3rd term we get 11. This means our common difference is 11.

Now, let's find the nrh term of the sequence.

nth term= a1 + (n-1)d ( <em>a1= 1st term, d= common</em> <em>difference</em>)

nth = 2+ (n-1) 11

= 2 + 11n - 11

= 11n - 9

Let's check if we have got nth term correct.

a1= 1*11 - 9 = 2

a2 = 2*11-9 = 13

a3 = 3*11 - 9 = 24

a4 = 4*11-9 = 35

So, we got our nth term.

Let's find remaining sequence.

a5= 5*11 - 9 = 46.

a6= 6*11 - 9 = 57.

Therefore, the remaining terms are : 46 and 57.

<em><u>Hope</u></em><em><u> it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

7 0
2 years ago
Read 2 more answers
Solve the following word problem using any method. Show your work.
VLD [36.1K]
Let's set up two equations:
x+y=20             We know she brought total of 20, some of each so x=small y=big
20x+ 30y=450
 
 x+y= 20
   -y    -y
 ------------
 x= 20 -y

substitute into the other equation:    
20 (20-y) + 30y = 450
400 - 20y + 30y = 450
400+ 10 y = 450
10 y = 50
y= 5

So she brought  5 big cases.  Then substitute the value of y into one of the equations.

5+ x = 20 
x= 15

So we bought 15 small cases and 5 big cases. 

Hope this helps! Please give me the brainliest answer if you like it! If you have further questions, please leave a comment or add me as a friend!


5 0
2 years ago
Read 2 more answers
Write by what rule you know the triangles are congruent, or write CNBD for "Cannot be determined." Segments and angles are congr
Triss [41]

RSM huh. I feel bad. I'm in this too.

4 0
3 years ago
Susan is looking to hire a cleaning company to clean her house every week. One cleaning company's cost can be calculated by the
kirill [66]

Answer:

<h3>A. 1 hour</h3>

Step-by-step explanation:

If one cleaning company's cost can be calculated by the expression 75 + 50x, where x is the amount of hours they spend cleaning and another cleaning company's cost can be calculated using the expression 50 + 75x, then to calculate how long each company will have to clean to cost the same amount, we will equate both expression of the company cost and solve for x as shown;

On equating:

75 + 50x,  =  75x + 50

collect like terms'

50x-75x = 50-75

-25x = -25

divide both sides by -25

-25x/-25 = -25/-25

x = 1

hence the number of hours each company will have to clean to cost the same amount is 1 hour

3 0
2 years ago
18 2/5 - n = -10 1/3
Wewaii [24]

Answer:

The answer is n=28\frac{11}{15}.

Step-by-step explanation:

Given:

18 2/5 - n = -10 1/3.

Now, to solve the equation:

18\frac{2}{5} - n = -10 \frac{1}{3}

Converting the mixed fractions to improper:

⇒\frac{92}{5} -n=-\frac{31}{3}

Moving the numbers on one side and variable to the other:

⇒\frac{92}{5} +\frac{31}{3}=n

Now, solving the factions:

⇒\frac{92\times 3+31\times 5}{15}=n

⇒\frac{276+155}{15}=n

⇒\frac{431}{15}=n

⇒28\frac{11}{15}=n

Therefore, the answer is n=28\frac{11}{15}.

3 0
3 years ago
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