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snow_lady [41]
3 years ago
11

A stop sign is in the shape of a regular octagon. Each side measures 12.4 inches and the apothem of the octagon measures 15 inch

es. What is the area of the stop sign?
Mathematics
2 answers:
saul85 [17]3 years ago
7 0
744 square inches octagon area
Nikolay [14]3 years ago
6 0
The 8 sides of the regular octagon are all the same length, so the perimeter of it is 8*(12.4 in) = 99.2 in.

The area of a regular polygon is half the product of the perimeter and the apothem.
  area = (1/2)(99.2 in)(15 in) = 744 in²

The area of the stop sign is 744 in².
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Company B: starting salary-28,000 Yearly salary increase-2,400
Naya [18.7K]

Answer:

Sharla, 4400

Step-by-step explanation:

Paul's Salary:

Paul started at company B. Starting salary of company B is $ 28,000 with a yearly increase of $ 2,400. Paul's Salary in first year will be 28,000. In second year his salary will be 28000 + 2400, in 3rd year his salary will be: 28000 + 2(2400) and so on.

Since, the increase in Paul's salary every year is $ 2400, the increase in his salary after 10 years or in 10th year would be = 2400 x 9 = $ 21,600

So, his total salary in 10th year would be = 28000 + 21600 = $ 49,600

Sharla's Salary:

Sharla started at company C. Starting salary of company C is $ 36,000 with a yearly increase of $ 2,000.

Since, the increase in Sharla's salary every year is $ 2000, the increase in her salary after 10 years or in 10th year would be = 2000 x 9 = $ 18,000

So, her total salary in 10th year would be = 36000 + 18000 = $ 54,000

Conclusion:

Sharla earned more in 10th year an amount equal to $ 4400. So the answer is:

In the last year, <u>Sharla</u> earned <u>$4,400</u> more.

5 0
3 years ago
If U = {x: X € N, 1 &lt; × &lt; 15)
Inessa05 [86]

Answer:

Step-by-step explanation:

Given:

U = {x: X € N, 1 < × < 15) = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

A = {2,4,6,8,10,12,14}

B = {3,6,9,12,15}

C = {5,10,15}

(a) Verify A(BnB)=(AUB)(AUB)

A U (B n B)

=  {2,4,6,8,10,12,14} U (  {3,6,9,12,15} n  {3,6,9,12,15} )

=  {2,4,6,8,10,12,14} U {3,6,9,12,15}

=  {2,3,4,6,8,9,10,12,14,15}

( A U B) n (A U B)

= {2,3,4,6,8,9,10,12,14,15} n {2,3,4,6,8,9,10,12,14,15}

= {2,3,4,6,8,9,10,12,14,15}

Therefore

A U (B n B)  =  ( A U B) n (A U B)

verifies

(b) Verify An(BUC)=(AnB)u(AnC)

A n ( B U C)

=  {2,4,6,8,10,12,14} n ( {3,6,9,12,15} U {5,10,15} )

=  {2,4,6,8,10,12,14} n {3,5,6,9,10,12,15}

= {6,10,12}

( A n B ) U ( A n C )

= ( {2,4,6,8,10,12,14} n {3,6,9,12,15} ) U ( {2,4,6,8,10,12,14} n {5,10,15} )

= {6,12} U {10}

= {6,10,12}

Therefore

A n ( B U C) = ( A n B ) U ( A n C )

verifies

(c) Verify AU(BUC)=(AUB)U(AUC)​

AU(BUC)

=  {2,4,6,8,10,12,14}U{3,6,9,12,15}U{5,10,15}

= {2,3,4,5,6,8,9,10,12,14,15}

(AUB)U(AUC)​

=  ({2,4,6,8,10,12,14}{3,6,9,12,15})U({2,4,6,8,10,12,14}U{5,10,15})

= {2,3,4,6,8,9,10,12,14,15}U{2,4,5,6,8,10,12,14,15}

= {2,3,4,5,6,8,9,10,12,14,15}

Therefore

AU(BUC)=(AUB)U(AUC)​

verifies

5 0
3 years ago
Please help me , idk the answer
solmaris [256]

Hello!

The answer is 20.

On the left side of the table, you are counting by 1's so of course its going to be 0,1,2,3. Now, on the right side of the table, you are counting by 5's so its going to be 5,10,15,20.

Hope I helped!!!!

-boribaby

3 0
3 years ago
Penny is going to fly her plane to her sister's house, which is 544.32 miles away. Penny's airplane flies at an average speed of
Sedbober [7]

Answer:

0.81 hour

Step-by-step explanation:

Given data

Distance=  544.32 miles

Speed=  672 miles per hour.

We know that

Speed= distance/time

Substitute

672=  544.32/time

cross multiply

time*672= 544.32

time= 544.32/672

time= 0.81 hour

3 0
3 years ago
Write 2 equivalent expressions for each and find the total price ​
almond37 [142]

Answer:

it will be 20$ if im wrong you can correct me

4 0
2 years ago
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