The area of a regular hexagon with an apothem 18.5 inches long and a side 21 inches is 1, 165. 5 In²
<h3>
How to calculate the area of a regular hexagon</h3>
The formula is given thus;
Area of hexagon = (1/2) × a × P
where a = the length of the apothem
P = perimeter of the hexagon
Given a = 18. 5 inches
Note that Perimeter, p = 6a with 'a' as side
p = 6 × 21 = 126 inches
Substitute values into the formula
Area, A = 1 ÷2 × 18. 5 × 126 = 1 ÷2 × 2331 = 1, 165. 5 In²
Thus, the area of the regular hexagon is 1, 165. 5 In²
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Answer:
B
Step-by-step explanation:
For quadratic expression in this form, the first step is to multiply the number in front of
with the last term, the constant (with the sign in front as well). This is the "multiplied number".
Step 2 is to come up with 2 numbers which when multiplied is equal to the "multiplied number" in step 1 above and also add to the number in front of
.
For this problem, we would need 2 numbers that
- Add up to 27, and
- When multiplied, comes to -90 <em>(18 * -5 = -90)</em>
They already found the 2 numbers as expressed in the form shown
. The 2 numbers are +32 and -5.
<em><u>Do they add up to 27, as required?</u></em>
Yes, 32-5=27
<u><em>Do they come to -90 when multiplied?</em></u>
No, 32 * -5 = -160
Hence, they add up, BUT NOT multiplied.
So the answer choice B is right.
Sin35 = 3/x
i think it would simplify to x = sin(35)/3
Answer:
14×6=84 and 6×14=84, 84+6=90
Answer:
1,116
Step-by-step explanation:
2568 + ( - 1452)
= 2568 - 1452 ( because + × - makes -)
= 2568 - 1452
=<u> 1,116</u>