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Andreyy89
3 years ago
6

Mr. Jones has 3/4 cup of fertilizer. He will use a 1/8 cup measuring scoop to pour all of the fertilizer onto his plants. How ma

ny times will Mr. Jones fill the measuring scoop with fertilizer? Write your answer in the box.
Mathematics
1 answer:
dmitriy555 [2]3 years ago
6 0

Answer:

6 times

Step-by-step explanation:

We will have to divide in order to solve this problem.

\frac{3}{4}÷\frac{1}{8}

We will have to find the reciprocal of 1/8, which is basically flipping it, so it is 8.

After, we will have to multiply 3/4x8. The product would come out as 24/4, and if you simplify it, the answer will be 6 times.

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The correct answers are:
1) sin(x) = \frac{ \sqrt{3} }{2}
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Explanation:
Given:
cos(x) =  \frac{1}{2}

Step 1:
Since, according to the Trigonometric identity:
sin^2(x) + cos^2(x) = 1 -- (1)

Step 2:
Plug in the value of cos(x) in equation (1):
sin^2(x) + ( \frac{1}{2} )^2 = 1 \\ sin^2(x) + \frac{1}{4} = 1 \\ sin^2(x)  =  \frac{3}{4}

Step 3:
Take square-root on both sides:
\sqrt{sin^2(x)} =  \sqrt{\frac{3}{4}}

sin(x) = \frac{ \sqrt{3} }{2}

Now to find the tan(x), we would use the following formula:

tan(x) = \frac{sin(x)}{cos(x)} --- (2)

Plug in the values of sin(x) and cos(x) in equation (2):
tan(x) = \frac{ \frac{ \sqrt{3} }{2} }{ \frac{1}{2} }

Hence tan(x) = \sqrt{3}
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