So a pentagon is constructed by five identical triangles, that's why you can find the area of one triangle and multiply it with 5:
A_pentagon=A_triangle*5
To find the area of a triangle you must use tangens.
You can watch this for more on that on youtube.
For the length of an arc or a portion of a circle you can find it using:
arc lenght = 2π*r(A/360), where A=angle.
So if you know radians, then 2π is a whole circle. And to calculate for the specific circle you have to use the radius. That's why you multiply with radius, which is the only difference between any two different circles. you then multiply with the part of the circle that you want to find the lenght for, which is A/360 (because there are 360° in a circle)
I hope that helped.
The answer: - 2.3 ≥ b ; which does not correspond with any of the answer choices; but most closely corresponds with: "Answer choice: [B]: b > -2.3 ."
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Explanation:
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Assuming we have:
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2.7 is greater than <u><em>or</em></u> equal to "(b + 5)";
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We would write:
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→ 2.7 ≥ b + 5 ;
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→ Subtract "5" from EACH side:
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→ 2.7 − 5 ≥ b + 5 − 5
→ - 2.3 ≥ b ; which does not correspond with any of the answer choices; but most closely corresponds with: "Answer choice: [B]: b > -2.3 ."
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He have to buy 4 bags to put all the dirt at once.
Step-by-step explanation:
Radius = 17 inches
Height = 28 inches
Volume of dirt from the cylindrical hole = π(r x r) h
= π(17 x 17) 28
= (3.14) (289) 28
= 25408.88 cubic inches
1 foot = 12 inches
Volume of dirt the bag can hold= 24 x 18 x 48
= 20736 cubic inches of dirt
The man fills only one third of the bag.
The volume of dirt the man fills = (1/3)20736
= 6912 cubic inches
Total bags = 25408.88/6912
= 3.69
= appx. 4 bags
He have to buy 4 bags to put all the dirt at once.
3/k+3=8/k-2
butterfly (multiply 8 and k+3) and (multiply 3 and k-2) and set them = to eachother
8 (k+3)=3 (k-2)
distribute
8k+24=3k-6
-3k both sides
5k+24=-6
-24 both sides
5k=-30
÷5 both sides
k=-6
