Which literal equations are equivalent to ? Choose all answers that are correct.

1 answer:

7 0

$a.\\g=\frac{w}{m}\ \ \ \ |multiply\ both\ sides\ by\ m\neq0\\\\w=gm\ \boxed{c.}\\\\therefore:\boxed{a.}\ is\ equivalent\ to\ \boxed{c.}\\\\b.\\g=\frac{m}{w}\ \ \ \ |multiply\ both\ sides\ by\ w\neq0\\\\gw=m\ \ \ \ |divide\ both\ sides\ by\ g\neq0\\\\w=\frac{m}{g}\ \boxed{d.}\\\\therefore:\boxed{b.}\is\ equivalent\ to\ \boxed{d.}$

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Given that sin theta = 1/4, 0

GaryK [48]

Answer: cos(Θ) = (√15) / 4

Explanation:

The question states:

1) sin(Θ) = 1/4

2) 0 < Θ < π / 2

3) find cos(Θ)

This is how you solve it.

1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).

$(cos \alpha )^2 + (sin \alpha )^2 =1$

2) From which you can find:

$(cos \alpha )^2 = 1 - (sin \alpha )^2$

3) Replace sin(α) with 1/4

=> $(cos \alpha )^2 = 1 - (1/4)^2 = 1 - 1/16 = 15/16$

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4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:

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I am Lyosha [343]

Answer:

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ans = 48212

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Please help!!!!!!! Please help!!!!!! Please help!!!!!!

Nitella [24]

Answers:

Discrete
Continuous
Discrete
Continuous

==============================================

Explanations:

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This is continuous because time values are continuous. We can take any two different markers in time, and find a midpoint between them. For example, the midpoint of 5 minutes and 17 minutes is 11 minutes since (5+17)/2 = 22/2 = 11. Continuous sets like this do not have any gaps between items. We can consider this to be densely packed.
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This is similar to problem 2. This function is continuous. Pick any two different positive real numbers to represent the amount of gallons of water. You will always be able to find a midpoint between those values (eg: we can have half a gallon) and such a measurement makes sense.

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