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GrogVix [38]
3 years ago
12

The LA Dodgers hit the most homeruns in 2014. The number of homeruns accounted for 6% of the entire Major League Baseball home r

un count. If 583 total home runs were hit, approximately how many did the LA Dodgers hit?
Mathematics
2 answers:
USPshnik [31]3 years ago
4 0
To answer the question, we will need to find the 6% (the home runs of the LA Dodgers) of 583 (<span>the entire Major League Baseball home run count</span>). 
To do that, first we are going to divide 6% by 100% to convert it to a fraction and get rid of the percentage signs :
\frac{6}{100}
Now we can multiply our fraction by the entire Major League Baseball home run count to get the home runs of the Dodgers:
\frac{6}{100} (583)= \frac{(6)(583)}{100}= \frac{3498}{100}=34.98

We can conclude that the LA Dodgers <span>hit approximately 35 home runs. </span>
ddd [48]3 years ago
3 0

Answer:

The answer is 35.

Step-by-step explanation:

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Answer:

12-12, it's a decrease so you subtract.

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A garden is shaped in the form of a regular heptagon (seven-sided), MNSRQPO. A circle with center T and radius 25m circumscribes
Alenkinab [10]

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

The area to be planted with flowers is approximately <u>923.558 m²</u>

The reason the above value is correct is as follows;

The known parameters of the garden are;

The radius of the circle that circumscribes the heptagon, r = 25 m

The area left for the children playground = ΔMSQ

Required;

The area of the garden planted with flowers

Solution:

The area of an heptagon, is;

A = \dfrac{7}{4} \cdot a^2 \cdot  cot \left (\dfrac{180 ^{\circ}}{7} \right )

The interior angle of an heptagon = 128.571°

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

\dfrac{s}{sin(180 - 128.571)} = \dfrac{25}{sin \left(\dfrac{128.571}{2} \right)}

s = \dfrac{25}{sin \left(\dfrac{128.571}{2} \right)} \times sin(180 - 128.571) \approx 21.69

The \ apothem \ a = 25 \times sin \left ( \dfrac{128.571}{2} \right) \approx 22.52

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

MS = \sqrt{(21.69^2 + 21.69^2 - 2 \times  21.69 \times21.69\times cos(128.571^{\circ})) \approx 43.08

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

The area of the of the garden plated with flowers, A_{req} ≈ <u>923.558 m²</u>

Learn more about figures circumscribed by a circle here:

brainly.com/question/16478185

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2 years ago
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Murljashka [212]
Letter d is the answer.
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hichkok12 [17]

Answer:

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Step-by-step explanation:

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Now that we have this, we can use the point and the slope in point-slope form to get the equation.

y - y1 = m(x - x1)

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