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2 years ago

15

The button on Sam's calculator that calculates the sine of an angle is broken.

1 answer:

Galina-37 [17]2 years ago

3 0

Tan 18 = opposite side/adjacent side

0.3249 = 4/adjacent side

and adjacent side = 4/0.3249 = 12.31

Now let's apply Pythagoras to find x

4² + 12.31² = x²
16 + 151.55 = x² and x² = 167.55
Then x = √167.55 and x = 12.94 ≈ 13

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Read 2 more answers

How many pounds of oranges do the data in the plot line represent?

Radda [10]

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OPTION C: $\textbf{37} \frac{\textbf{28}}{\textbf{8}}$ pounds.

Step-by-step explanation:

From the figure we can see that there are three dots against $3 \frac{7}{8}$ .

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Note that if there is a mixed fraction of the form $a \frac{b}{c}$ = $a + \frac{b}{c}$ .

Therefore, $3 \times 3\frac{7}{8} = 3 \times \bigg(3 + \frac{7}{8} \bigg )$ ... (1)

Similarly, against 4 there are 2 dots.

So, it should be $4 \times 2$ pounds. ...(2)

3 dots against $4 \frac{1}{8}$ .

So, it becomes $3 \times \bigg(4 + \frac{1}{8} \bigg)$ ...(3)

Similarly, 2 dots against $4 + \frac{2}{8}$ .

This will become $2 \times \bigg( 2 + \frac{2}{8} \bigg)$ ...(4)

Now, to calculate the total pound, we simply add (1), (2), (3) & (4).

⇒ $3 \times \bigg(3 + \frac{7}{8} \bigg )$ $+$ $4 \times 2$ + $3 \times \bigg(4 + \frac{1}{8} \bigg)$ $+$ $2 \times \bigg( 2 + \frac{2}{8} \bigg)$

⇒ $9 + \frac{21}{8} + 8 + 12 + \frac{3}{8} + 8 + \frac{4}{8}$

⇒ $\bigg ( 9 + 8 + 12 + 8 \bigg) + \bigg( \frac{21 + 3 + 4}{8} \bigg )$

⇒ $\textbf{37} \textbf {+} \frac{\textbf{28}}{\textbf{8}}$ $\textbf{=} \hspace{1mm} \textbf{37} \frac{\textbf{28}}{\textbf{8}}$ which is the required answer.

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