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Aleonysh [2.5K]
4 years ago
10

Ron asked 18 classmates whether they prefer granola bars over muffins. he used a calculator to compare the number of classmates

who said yes to the total number he surveyed. the calculator showed the result as 0.66666667. how many students prefer granola bars over muffins?
Mathematics
1 answer:
muminat4 years ago
7 0
<h3>Answer: 12</h3>

Explanation:

Multiply 0.66666667 with 18 to get

0.66666667*18 = 12.00000006

The 6 at the very end is due to rounding error. In reality the 6's in 0.66666667 should go on forever. That 7 is from rounding up.

Anyways, the result 12.00000006 should be 12 exactly.

Note how

12/18 = 0.66666667

when using a calculator.

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By first calculating the size of angle LMN, calculate the area of triangle MNL. You must show all your working.
RSB [31]

Answer:

m(∠LMN) = 67.44°

Area of ΔMNL = 16.66 square units

Step-by-step explanation:

By applying Sine rule in the ΔLMN,

\frac{\text{Sin}M}{\text{NL}}=\frac{\text{Sin}N}{\text{ML}}

\frac{\text{Sin}M}{7.2}}=\frac{\text{Sin}38}{\text{4.8}}

SinM = \frac{\text{Sin}38\times 7.2}{4.8}

SinM = 0.9235

M = \text{Sin^{-1}}(0.9235)\text{Sin}^{-1} (0.9235)

M = 67.44°

m(∠M) + m(∠N) + m(∠L) = 180°

67.44 + 38 + m(∠L) = 180°

m(∠L) = 180 - 105.44

m(∠L) = 74.56°

Area of ΔMNL = \frac{1}{2}(\text{ML})(\text{NL})\text{Sin}(74.56)

                        = \frac{1}{2}(4.8)(7.2)(0.96391)

                        = 16.66 square units

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One example could be, 2 • (9x + 6y)

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Answer:

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Step-by-step explanation:

This problem can be solved by simply looking at the sign in front of 89. Since it is a negative, nothing squared can equal it.

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