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2 years ago

I do not understand this problem could someone help me

Mathematics

2 answers:

Mariana [72]2 years ago

6 0

total donated=amount donated per month times number of months

amount donated per month=18.18

number of months=12

total donated=18.18*12=$218.16

answer is D

kompoz [17]2 years ago

3 0

you just do 18.18 times 12 so you'd get

$218.16

so the answer is D

hope this helps:)

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3 years ago

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The relationship between the sides MN, MS, and MQ in the given regular heptagon is $\dfrac{1}{MN} = \dfrac{1}{MS} + \dfrac{1}{MQ}$

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The reason the above value is correct is as follows;

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Required;

The area of the garden planted with flowers

Solution:

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The interior angle of an heptagon = 128.571°

The length of a side, S, is given as follows;

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The area of the heptagon MNSRQPO is therefore;

$A = \dfrac{7}{4} \times 22.52^2 \times cot \left (\dfrac{180 ^{\circ}}{7} \right ) \approx 1,842.94$

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By sine rule, we have

$\dfrac{21.69}{sin(\angle NSM)} = \dfrac{43.08}{sin(128.571 ^{\circ})}$

$sin(\angle NSM) =\dfrac{21.69}{43.08} \times sin(128.571 ^{\circ})$

$\angle NSM = arcsin \left(\dfrac{21.69}{43.08} \times sin(128.571 ^{\circ}) \right) \approx 23.18^{\circ}$

∠MSQ = 128.571 - 2*23.18 = 82.211

The area of triangle, MSQ, is given as follows;

$Area \ of \Delta MSQ = \dfrac{1}{2} \times 43.08^2 \times sin(82.211^{\circ}) \approx 919.382^{\circ}$

The area of the of the garden plated with flowers, $A_{req}$ , is given as follows;

$A_{req}$ = Area of heptagon MNSRQPO - Area of triangle ΔMSQ

Therefore;

$A_{req}$ = 1,842.94 - 919.382 ≈ 923.558

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