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3 years ago

75% of _____ oranges is 15 oranges (Fill in the blanks)

Mathematics

1 answer:

Mila [183]3 years ago

8 0

Try this: 0.75n = 15. Divide both sides by 0.75 to solve for n: n = 15/0.75
n = 20

There are originally 20 oranges.

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2 years ago

I keep putting in the formula but I keep getting the answer wrong

Advocard [28]

Answer:

314 in² (nearest whole number)

Step-by-step explanation:

Radius of a regular polygon: The distance from the center of the polygon to any vertex. The radius of a hexagon is equal to the length of one side.

Therefore, from inspection of the given diagram:

radius = 11 in ⇒ side length = 11 in

To find the area of a regular polygon, we first need to calculate the apothem. The apothem is the line drawn from the center of the polygon to the midpoint of one of its sides.

$\textsf{Length of apothem (a)}=\dfrac{s}{2 \tan\left(\frac{180^{\circ}}{n}\right)}$

where:

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Given:

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Substitute the given values into the formula and solve for a:

$\implies \textsf{a}=\dfrac{11}{2 \tan\left(\frac{180^{\circ}}{6}\right)}=\dfrac{11\sqrt{3}}{2}$

Area of a Regular Polygon

$\textsf{A}=\dfrac{n\:s\:a}{2}$

where:

n = number of sides
s = length of one side
a = apothem

Given:

n = 6
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$\textsf{a}=\dfrac{11\sqrt{3}}{2}$

Substitute the given values into the formula and solve for A:

$\implies \sf A=\dfrac{6 \cdot 11 \cdot \dfrac{11\sqrt{3}}{2}}{2}$

$\implies \sf A=314.3672216...$

$\implies \sf A=314\:\:in^2\:\:(nearest\:whole\:number)$

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2 years ago

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Answer:

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Step-by-step explanation:

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Answer:

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