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pickupchik [31]
3 years ago
13

A regular hexagon has a side of 18 cm, find the area of the regular polygon

Mathematics
1 answer:
Anna71 [15]3 years ago
3 0
The area is 841.78 cm
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Find the value of x to the nearest tenth
Salsk061 [2.6K]

Answer:

x = 41.2

Step-by-step explanation:

Assuming the dotted line at the top is parallel to the segment with length x, it follows from the alternate interior angles theorem that the interior angle of the triangle (marked in diagram) is also 27º.

Using SOH-CAH-TOA, we get that tan(27º) = 21/x, so x = 21/tan(27º), which is approximately equal to 41.2.

5 0
3 years ago
Read 2 more answers
Ticket for football final selling well, on Thursday 4/7 of the tickets are sold, on Friday 1/4 of the tickets are sold, What fra
sergij07 [2.7K]

Answer:

5/28

Step-by-step explanation:

1/1 represents the whole amount of tickets.

4/7 are sold on Thursday.

an additional 1/4 are did on Friday.

fraction of available tickets on Saturday are therefore

1/1 - 4/7 - 1/4 = 4/1 - 16/7 - 1/1 = 28/1 - 16/1 - 7/1 = 5/1

that means out of 28 equal parts of the total number of tickets 16+7 = 23 parts have been sold.

so, there are only 5 out of the total 28 parts available on Saturday, and the fraction of available tickets is therefore 5/28.

we could have also tried to bring both fractions to the same denominator, and found that this is 28.

and then

4/7 + 1/4 = 4/4 × 4/7 + 7/7 × 1/4 =

= 16/28 + 7/28 = 23/28

and the whole is 28/28.

so we have 28/27 - 23/28 = 5/28 left.

surprise, surprise, it is the same result ...

4 0
2 years ago
What is the total cost with sales tax? $370.00 tax 5%
kolezko [41]

Answer: $388.5

Step-by-step explanation:

Total cost = cost + sales tax

Given that cost = $370

Sales tax = 5% of $370

5/100 × 370 = $18.5

Total cost = $370 + $18.5

= $388.5

I hope this is clear.

4 0
3 years ago
What is the base of a parallelogram with height 6.2 meters and an area of 80.6 square meters
Diano4ka-milaya [45]
80.6 / 6.2 = 13

I think the base is 13 meters.

Formula is area = b times height

Hope this helped
4 0
3 years ago
Read 2 more answers
For 3 consecutive odd integers, the result of adding the smallest integer to four times the largest integer is 121. What are the
irakobra [83]

Answer: 21, 23, 25

Step-by-step explanation:

Let the integers be y, y+2 and y+4.

From the question, we are informed that the result of adding the smallest integer to four times the largest integer is 121. This can be mathematically expressed as:

y + 4(y+4) = 121

y + 4y + 16 = 121

5y + 16 = 121

5y = 121-16

5y = 105

y = 105/5

y = 21

Since y = 21,

y + 2 = 21 + 2 = 23

y + 4 = 21 + 4 = 25

The integers are 21,23 and 25

4 0
3 years ago
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