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german
2 years ago
14

What is the value of y?

Mathematics
2 answers:
pshichka [43]2 years ago
5 0
You actually aren't supposed use to the Pythagorean Theorem. You are supposed to implement the trigonometry functions.

The angle, 60, is directly opposite with what you're trying to find, y. Also since you have another side of the triangle that is identified, you can figure what trig function to use. The line next to the angle is the adjacent. We have the adjacent and opposite. The trig function that implements both sides is the Tangent. The formula for it is tangent(angle) = opposite/adjacent.

Now substitute the number into the formula.

tan(60) = y / 5

We need to isolate y, so we times 5 and tan(60)

tan(60) x 5 = <span>8.66

y is now isolated and the answer is 8.66 = y</span>
julsineya [31]2 years ago
3 0
Check the picture below.

make sure your calculator is in Degree mode.

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How is the graph of the parent function y=x² transformed to produce the graph of y=3(x+1)²?
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Answer:

Step-by-step explanation:

Remark

Always the easiest way to study these questions is to get a graph. The one below shows

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Blue: y= 3(x + 1)^2

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The 3 is a little harder. It narrows the red mother graph. Which choice says that?

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7 0
1 year ago
What is the elasped time 9:00- 4:30
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Read 2 more answers
At the beginning of an experiment, the number of bacteria in a colony was counted at time t=O. The number of bacteria in the col
yan [13]

Answer:

1092

Step-by-step explanation:

We have been given that the number of bacteria in the colony t minutes after the initial count modeled by the function B(t)=9(3)^t. We are asked to find the average rate of change in the number of bacteria over the first 6 minutes of the experiment.

We will use average rate of change formula to solve our given problem.

\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}

Upon substituting our given values, we will get:

\text{Average rate of change}=\frac{b(6)-b(0)}{6-0}

\text{Average rate of change}=\frac{9(3)^6-9(3)^0}{6}

\text{Average rate of change}=\frac{9(729)-9(1)}{6}

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\text{Average rate of change}=\frac{6552}{6}

\text{Average rate of change}=1092

Therefore, the average rate of change in the number of bacteria is 1092 bacteria per minute.

8 0
2 years ago
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