1. The problem statement tells you to find "the area of the hexagonal face".
2. If we assume the intent is to find the shaded area of the face only, it differs from the area of a regular hexagon in that there is a hole in the middle.
3. You must find the area of the regular hexagon, and subtract the area of the circular hole in the middle.
4. The formula for the area of a circle in terms of its radius is
... A = πr²
5. The formula for the area of a regular hexagon in terms of the radius of the circumcircle is
... A = (3√3)/2·r²
6. The radius of the circumcircle of the regular hexagon is given. No additional information is needed.
7. You can use the trig functions of the angles of an equilateral triangle to find the apothem, but there is no need for that when you use the formula of 5.
8. All this is unnecessary. The apothem is (8 mm)·(√3)/2 = 4√3 mm ≈ 6.9282 mm, the shorter leg is (8 mm)·(1/2) = 4 mm. The perimeter is 6·8 mm = 48 mm.
9. The area of the hexagon is
... A = 3√3/2·(8 mm)² = 96√3 mm² ≈ 166.277 mm²
10. The area of the circle is
... A = π·(4 mm)² = 16π mm² ≈ 50.265 mm²
11. The area of the hexagonal face is approximately ...
... 166.277 mm² - 50.265 mm² = 116.01 mm²
Answer:
Store A has a better deal because $402.90 is less than $404.10.
Step-by-step explanation:
<u>Store A</u>
The $25 off coupon reduces the price to ...
$499 - 25 = $474
The discount from this amount is 15%, so is ...
$474 × 0.15 = $71.10
The final amount paid is then ...
$474.00 -71.10 = $402.90
(<em>Side note</em>: you can select the correct answer at this point, because only one answer shows this value.)
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<u>Store B</u>
After the $20 off coupon, the price is ...
$469 -20 = $449
The additional 10% discount amounts to ...
$449 × 0.10 = $44.90
So, the final price is ...
$449.00 -44.90 = $404.10
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Now, you know that Store A offers the better price because $402.90 is less than $404.10.
2^3 * 2^-5 = 2^(3 + (-5) = 2^(3 - 5) = 2^-2
The answer to this question would be x=a2y2
Answer:
What is the theoretical probability that Marco will choose a card with a heart on it? It will be 1/4
What is the theoretical probability that Marco will choose a card without a heart on it? the answer to this is 3/4
Step-by-step explanation:
