Answer:
<u><em>37 decreased by 20% is </em></u><u><em>29.6.</em></u>
Step-by-step explanation:
<u><em>To do this, what we do is simply </em></u><u><em>take 20% of 37 and subtract it from 37.</em></u>
<u><em>20% of 37.</em></u><u><em> A trick to easily figure this out is </em></u><u><em>multipling 37 by 20 and dividing by 100.</em></u>
<u><em>37*20 = 740</em></u>
<u><em>740 / 100 = 7.40</em></u>
<u><em>37 - 7.40 = 29.6</em></u>
<u><em>37 decreased by 20% is </em></u><u><em>29.6.</em></u>
Answer:
A
Step-by-step explanation:
![cos~ \theta=\sqrt{1-sin^2 \theta} =\sqrt{1-(\frac{1}{2})^2 } =\frac{\sqrt{3} }{2} \\1+cos~\theta=2cos^2\frac{\theta}{2} \\1+\frac{\sqrt{3}}{2} =2~cos^2 \frac{\theta}{2} \\cos^2\frac{\theta}{2} =\frac{2+\sqrt{3}}{2 \times 2} \\cos \frac{\theta}{2} =\frac{\sqrt{2+\sqrt{3}}}{2} \\1-cos \theta=2 ~sin^2\frac{\theta}{2} \\1-\frac{\sqrt{3}}{2}=2~sin^2 \frac{\theta}{2} \\sin^2 \frac{\theta}{2} =\frac{2-\sqrt{3} }{2 \times 2} \\sin \frac{\theta}{2}=\frac{\sqrt{2-\sqrt{3} } }{2}](https://tex.z-dn.net/?f=cos~%20%5Ctheta%3D%5Csqrt%7B1-sin%5E2%20%5Ctheta%7D%20%3D%5Csqrt%7B1-%28%5Cfrac%7B1%7D%7B2%7D%29%5E2%20%7D%20%3D%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D%20%5C%5C1%2Bcos~%5Ctheta%3D2cos%5E2%5Cfrac%7B%5Ctheta%7D%7B2%7D%20%5C%5C1%2B%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%20%3D2~cos%5E2%20%5Cfrac%7B%5Ctheta%7D%7B2%7D%20%5C%5Ccos%5E2%5Cfrac%7B%5Ctheta%7D%7B2%7D%20%3D%5Cfrac%7B2%2B%5Csqrt%7B3%7D%7D%7B2%20%5Ctimes%202%7D%20%5C%5Ccos%20%5Cfrac%7B%5Ctheta%7D%7B2%7D%20%3D%5Cfrac%7B%5Csqrt%7B2%2B%5Csqrt%7B3%7D%7D%7D%7B2%7D%20%5C%5C1-cos%20%5Ctheta%3D2%20~sin%5E2%5Cfrac%7B%5Ctheta%7D%7B2%7D%20%5C%5C1-%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%3D2~sin%5E2%20%5Cfrac%7B%5Ctheta%7D%7B2%7D%20%5C%5Csin%5E2%20%5Cfrac%7B%5Ctheta%7D%7B2%7D%20%3D%5Cfrac%7B2-%5Csqrt%7B3%7D%20%7D%7B2%20%5Ctimes%202%7D%20%5C%5Csin%20%5Cfrac%7B%5Ctheta%7D%7B2%7D%3D%5Cfrac%7B%5Csqrt%7B2-%5Csqrt%7B3%7D%20%7D%20%7D%7B2%7D)
as 0≤θ≤90
so θ/2 is also in 0≤θ≤90
hence sin θ/2 and cos θ/2 are positive.
<span>Let the "number of years" be "x":
---
Equation:
36+x = 3(8+x)
36+x = 24+3x
2x = 12
x = 6 years</span>
Answer:
5h
Step-by-step explanation:
If Sarah has five times the amount of homework as yesterday,
the expression will be set up as
5 times (The amount of homework yesterday) - also known as h
<em>Therefore, the expression is simplified as</em>
5h
Answer first day he take 10mg then from 2nd day to day d he take 0.2mg so
10+0.2(d-1)
shows that the amount of medicine he takes in d days