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bonufazy [111]
3 years ago
11

Why is the answer negative?

Mathematics
1 answer:
BaLLatris [955]3 years ago
4 0

Step-by-step explanation:

cos \: x =  \frac{3}{5}  =  \frac{x}{y}  \\  \implies \: x = 3 \:  \: and \:  \: r = 5 \\    \because \:  {y}  =   \pm\sqrt{ {r}^{2} -  {x}^{2}  }  \\  =  \pm\sqrt{ {5}^{2}  -  {3}^{2} }  \\  =  \pm\sqrt{25 - 9}  \\  = \pm \sqrt{16}  \\ \therefore \: y  = \pm4 \\  \because \: x \: lies \: in \:  {4}^{th}  \: quadrant \\ \therefore \: y  = - 4 \\  \\ \because \: sin \: x  = \frac{y}{r}  \\  \\ \huge \red{ \boxed{ \therefore \: sin \: x  = \frac{ - 4}{5}}}  \\  \\ \because \: tan \: x  = \frac{y}{x}  \\  \\  \huge \purple{ \boxed{\therefore \: tan \: x  = \frac{ - 4}{3} }}

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Iodine-125 has a half-life of about 60 days.
Murljashka [212]

62.5 mg sample will remain after 240 days

Step-by-step explanation:

Given

Half-life = T =  60 days

The formula for calculating the quantity after n half lives is given by:

N = N_0(\frac{1}{2})^n

Here

N is the final amount

N_0 is the initial amount

n is the number of half lives passed

The number of half lives are calculated by dividing the time for which the remaining quantity has to be found by half life

The quantity has to be calculated for 240 days so,

n = \frac{240}{60}\\n = 4

Given

N_0 = 1000\ mg

Putting the values in the formula

N = 1000 (\frac{1}{2})^4\\=1000 * \frac{1}{16}\\=\frac{1000}{16}\\=62.5\ mg

Hence,

62.5 mg sample will remain after 240 days

Keywords: Half-life, sample

Learn more about half-life at:

  • brainly.com/question/11286417
  • brainly.com/question/12973601

#LearnwithBrainly

3 0
3 years ago
Can someone please answer this please!
DaniilM [7]

Answer:

T = ±22

Step-by-step explanation:

Let's solve your equation step-by-step.

0=−16t2+7744

Step 1: Add 16t^2 to both sides.

0+16t2=−16t2+7744+16t2

16t2=7744

Step 2: Divide both sides by 16.

16t2

16

=

7744

16

t2=484

Step 3: Take square root.

t=±√484

t=22 or t=−22

6 0
3 years ago
Mike drew the following figure in his notebook. What is the value of ? Show all work
Gre4nikov [31]

Answer:

Mike drew the following figure in his notebook. What is the value of ? Show all work

Step-by-step explanation:

Is 288

3 0
2 years ago
Imagine a pond. In it sits one lilypad, which reproduces once a day. Each of its offspring also reproduces once a day, doubling
sergeinik [125]

Answer: On the 29th day

Step-by-step explanation:

According to this problem, no lilypad dies and the lilypads always reproduce, so we can apply the following reasoning.

On the first day there is only 1 lilypad in the pond. On the second day, the lilypad from the first reproduces, so there are 2 lilypads. On day 3, the 2 lilypads from the second day reproduce, so there are 2×2=4 lilypads. Similarly, on day 4 there are 8 lilypads. Following this pattern, on day 30 there are 2×N lilypads, where N is the number of lilypads on day 29.

The pond is full on the 30th day, when there are 2×N lilypads, so it is half-full when it has N lilypads, that is, on the 29th day. Actually, there are 2^{30} lilypads on the 30th, and 2^{29} lilypads on the 29th. This can be deduced multiplying succesively by 2.  

4 0
3 years ago
Suppose y varies directly with x and y = 72 when x = 6. What direct variation equation relates x and y? What is the value of y w
iogann1982 [59]
Y=12x
When x=10
y=120


x:3 5 7
y:6 10 14
y=2x
3 0
3 years ago
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