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Harman [31]
3 years ago
11

Number 1 d pleaseeeeee

Mathematics
1 answer:
PIT_PIT [208]3 years ago
7 0
Find 25 seconds in the table. That's between 20 and 30, right? So, find the median between 19 and 28:
19 + 28
----------   = 23.5
      2

That is around 24 deep knee squats per 25 seconds. Now, use the same method for 65 seconds:

51 + 58
----------  = 54.5
     2

That is around 55 deep knee squats per 65 seconds.
Now, explain the method using words. You might wanna use the words "average" or "mean" to describe that process above. 
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What is 1-2sin^2x=sinx <br> Please show steps and find all solutions in interval [0,2pi)
Svetlanka [38]

Answer:

\large\boxed{x=\dfrac{3\pi}{2}\ \vee\ x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}}

Step-by-step explanation:

1-2\sin^2x=\sin x\\\\\text{substitute}\ t=\sin x,\ t\in[-1,\ 1]\\\\1-2t^2=t\qquad\text{subtract t from both sides}\\\\-2t^2-t+1=0\qquad\text{change the signs}\\\\2t^2+t-1=0\\\\2t^2+2t-t-1=0\\\\2t(t+1)-1(t+1)=0\\\\(t+1)(2t-1)=0\iff t+1=0\ \vee\ 2t-1=0\\\\t+1=0\qquad\text{subtract 1 from both sides}\\\boxed{t=-1}\\\\2t-1=0\qquad\text{add 1 to both sides}\\2t=1\qquad\text{divide both sides by 2}\\\boxed{t=\dfrac{1}{2}}

\sin x=-1\to x=-\dfrac{\pi}{2}+2k\pi,\ k\in\mathbb{Z}\\\\\sin x=\dfrac{1}{2}\to x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi,\ k\in\mathbb{Z}\\\\x\in[0,\ 2\pi)

x=-\dfrac{\pi}{2}\notin[0,\ 2\pi)\\\\x=-\dfrac{\pi}{2}+2\pi=\dfrac{3\pi}{2}\in[0,\ 2\pi)\\\\x=-\dfrac{\pi}{2}+4\pi=\dfrac{7\pi}{2}\notin[0,\ 2\pi)\\\\x=\dfrac{\pi}{6}\in[0,\ 2\pi)\\\\x=\dfrac{\pi}{6}+2\pi=\dfrac{13\pi}{6}\notin[0,\ 2\pi)\\\\x=\dfrac{5\pi}{6}\in[0,\ 2\pi)\\\\x=\dfrac{5\pi}{6}+2\pi=\dfrac{17\pi}{6}\notin[0,\ 2\pi)

4 0
3 years ago
Solve this equation: -3r -6(-7-10r)
blondinia [14]
Answer: 57r + 42

Step by step explanation:

-3r - 6(-7 - 10r)

Distribute -6 through the parenthesis

-3r + 42 + 60r

Collect the like terms

57r + 42
7 0
3 years ago
Please help. I don't need a big explanation just a answer
stiv31 [10]
A answer of the explanation for the explanation is the answer
6 0
3 years ago
Round to the nearest tenth place it is repeating decimal 4/6
Scilla [17]

Answer:

0.7

Step-by-step explanation:

I divided 4 by 6

0.6666666666666...

Simplify to 0.7

8 0
3 years ago
5/6=7n+9/9 how do i do this
fredd [130]
The answer is in decimal formal in the file below

4 0
3 years ago
Read 2 more answers
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