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Zina [86]
3 years ago
5

Hayley is buying herbs. She wants to buy   ounce of basil. The scale she is using to weigh the basil displays the weight as

a decimal. How will she know when the display on the scale is correct to the tenths place? Explain your reasoning.
Mathematics
1 answer:
victus00 [196]3 years ago
7 0

Complete question :

Hayley is buying herbs. She wants to buy 5/6  ounce of basil. The scale she is using to weigh the basil displays the weight as a decimal. How will she know when the display on the scale is correct to the tenths place? Explain your reasoning.

Answer:

0.8

Step-by-step explanation:

To obtain the fractional expression of weight in decimal form:

5/ 6 ounce of bassil is converted into decimal :

5 / 6 = 0.8333

Hence, for a fraction of 5 /6, we obtain;

5/6 = 0.8333

To the nearest tenth :

0.8

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\dfrac{5x^4-7x^3-12x^2+6x+21}{(x-3)(x^2-2)^2}=\dfrac{a_1}{x-3}+\dfrac{a_2x+a_3}{x^2-2}+\dfrac{a_4x+a_5}{(x^2-2)^2}
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When x=\sqrt2 or x=-\sqrt2, you're left with

\begin{cases}17-8\sqrt2=(\sqrt2a_4+a_5)(\sqrt2-3)&\text{for }x=\sqrt2\\17+8\sqrt2=(-\sqrt2a_4+a_5)(-\sqrt2-3)\end{cases}\implies\begin{cases}-5+\sqrt2=\sqrt2a_4+a_5\\-5-\sqrt2=-\sqrt2a_4+a_5\end{cases}

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2. you have to use the law of sines function

the formula for law of sines is

sin of angle A / side A  =  sin of angle B / side B  =  sine of angle C / side C

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Step-by-step explanation:

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