Can someone help with question 51 please I need to break it down

Mathematics

1 answer:

dlinn [17]3 years ago

3 0

$\dfrac{2}{3}t-3\leq1|\cdot3\\
2t-9\leq3\\
2t\leq12\\
t\leq6\\\\
\dfrac{3}{4}t-2>7|\cdot4\\
3t-8>28\\
3t>36\\
t>12\\\\
t\leq6 \vee t>12\\
\boxed{t\in(-\infty,6]\cup(12,\infty)}
$

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torisob [31]

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90°

Step-by-step explanation:

All circles are equal to 360°. Since the pie chart is a circle, if you added all of the central angles for all three sections, it would total to 360°.

Since the circle is not divided into 360 parts for each degree, but 100 parts for each percent %.

You can solve using an equivalent. Write each fraction in the form "Lemonade" over "total". The left side is percentage, the right side is degrees.

Let x be the central angle for lemonade

$\frac{25}{100}=\frac{x}{360}$

Solve for the central angle of lemonade by isolating 'x'. To isolate x, move 360 over to the other side. When moving numbers in an equivalent, you do the opposite operation to both sides. Since 'x' divides by 360, multiply 360 on both sides.

$\frac{25}{100}=\frac{x}{360}$

$360*\frac{25}{100}=360*\frac{x}{360}$ 360 cancels out on the right