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Gre4nikov [31]
2 years ago
11

Find the value of the variable.

Mathematics
1 answer:
Likurg_2 [28]2 years ago
3 0

Step-by-step explanation:

cos ● = adjacent / hypotenuse

cos ● = 3 / x

cos 60 = 3 / x

0.5 = 3/ x

0.5x = 3

× = 6

tan ● = opposite / adjacent

tan 60 = y / 3

1.73 = y / 3

1.73 (3) = y

y = 5.19

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3 years ago
Graph the function y = |1.6x – 2| – 3.2. Over which interval is the function increasing?
klasskru [66]
You are to graph   <span>y = |1.6x – 2| – 3.2.  I trust you know that the graph of y=|x| is v-shaped, opening up, with vertex at (0,0).

Let's rewrite </span><span>y = |1.6x – 2| – 3.2 by factoring 1.6 out of  |1.6x - 2|:

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This tells us that the vertex of   </span><span>y = |1.6x – 2| – 3.2   is at (2/1.6,  -3.2).  If you need an explanation of why this is, please ask.

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Find the y-intercept:  Let x = 0 in  </span><span>y = |1.6x – 2| – 3.2 and find y:

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Plot this y-intercept.

Now draw a straight line from the vertex to this y-intercept.  Reflect that line across the y-axis to obtain the other half of the graph.</span>
8 0
2 years ago
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Need help please!!!!
ArbitrLikvidat [17]

Given : A inequality is given to us . The inequality is 19 ≥ t + 18 ≥ 11 .

To Find : The correct option between the given ones . To write the compound inequality with integers .

Solution : The given inequality to us is 19 ≥ t + 18 ≥ 11 . Let's simplify them seperately .

\red{\tt Case\:1}

⇒ 19 ≥ t + 18 .

⇒ t + 18 ≤ 19 .

⇒ t ≤ 19 - 18 .

⇒ t ≤ 1 = 1 ≥ t . ..................(i)

\red{\tt Case\:2}

⇒ t + 18 ≥ 11 .

⇒ t ≥ 11 - 18.

⇒ t ≥ -7 . ....................(ii)

<u>On</u><u> </u><u>combing</u><u> </u><u>(</u><u>i</u><u>)</u><u> </u><u>&</u><u> </u><u>(</u><u>ii</u><u>)</u><u> </u><u>.</u>

\Large\boxed{\green{\bf \red{\longmapsto} 1 \geqslant t \geqslant -7 }}

This means that t is less than or equal to 1 but greater than or equal to (-7) .

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3 years ago
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Answer:

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Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

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