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marissa [1.9K]
3 years ago
7

April claims that 1 + cos2(theta) / sin2(theta)= 1 / sin2(theta) is an identity for all real numbers thetatheta that follows fro

m the Pythagorean identity
a. For which values of thetatheta are the two functions ????theta) = 1 + cos2(theta) / sin2(theta)and ????(theta) = 1 / sin2(theta)defined?
Mathematics
1 answer:
Neporo4naja [7]3 years ago
4 0

Answer:

5

Step-by-step explanation:

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Rolls are being prepared to go to grocery stores. Divide 72 rolls into 2 groups so the ratio is 3 to 5. (please include your wor
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Rectangular prism has a volume of 500 in.³ and the area of the base is 25 in.² what is the height of the rectangular prism
Evgesh-ka [11]

Answer:

20 in

Step-by-step explanation:

Vol. = Bh    where B  is the area of the base and h is the height of the prism

500 = 25h

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2 years ago
Which answer do I pick .
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Easy Sample Ap graphing 50pts! (Easy points!!) (ASAP) (URGENT) (Please check my other questions)​ Please
snow_lady [41]

Answer:

a)  See attachment 1.

b)  t² and D

c)  See attachment 2.

d)  g = 9.8 m/s² (1 d.p.)

Step-by-step explanation:

<h3><u>Part (a)</u></h3>

See attachment 1.  The line of best fit is shown in red.

<h3><u>Part (b)</u></h3>

The quantities the student should graph in order to produce a <u>linear relationship</u> between the two quantities are t² and D.

<h3><u>Part (c)</u></h3>

Make a table of values of t² and D:

\begin{array}{|l|l|l|l|l|l|}\cline{1-6} \rm t^2& 0.0196& 0.1024& 0.2116 & 0.3481& 0.3969\\\cline{1-6} \rm D & 0.10 & 0.50& 1.00 & 1.70 & 2.00\\\cline{1-6}\end{array}

<u>Plot</u> a graph of D against t² and draw a line of best fit (see attachment 2).

<h3><u>Part (d)</u></h3>

From inspection of the graph, the line of best fit passes through the origin (0, 0) and (0.1024, 5.0).  Therefore, use these two points to find the slope of the line:

\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0.5-0}{0.1024-0}=4.8828125...\:\rm m/s^2

Therefore:

\rm \implies \dfrac{1}{2}g=4.8828125...\:\rm m/s^2

\rm \implies g=2 \cdot 4.8828125...\:\rm m/s^2

\rm \implies g=9.8\:\rm m/s^2\:(1\:d.p.)

5 0
1 year ago
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