Answer:
Step-by-step explanation:
1)-2x+8=-3x+14
-2x=-3x+6
x=6
2) (-2)^2-3*5+12
4-15+12
=1
Given:
Right triangles:
To find:
The value of c and value of d
Solution:
<u>In the first right triangle:</u>
θ = 45°
Opposite side to θ = 5
Hypotenuse = c
![$\sin \theta=\frac{\text { Opposite side of } \theta}{\text { Hypotenuse }}](https://tex.z-dn.net/?f=%24%5Csin%20%5Ctheta%3D%5Cfrac%7B%5Ctext%20%7B%20Opposite%20side%20of%20%7D%20%5Ctheta%7D%7B%5Ctext%20%7B%20Hypotenuse%20%7D%7D)
![$\sin 45^\circ=\frac{5}{c}](https://tex.z-dn.net/?f=%24%5Csin%2045%5E%5Ccirc%3D%5Cfrac%7B5%7D%7Bc%7D)
The value of sin 45° = ![\frac{1}{\sqrt 2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%202%7D)
![$\frac{1}{\sqrt 2}=\frac{5}{c}](https://tex.z-dn.net/?f=%24%5Cfrac%7B1%7D%7B%5Csqrt%202%7D%3D%5Cfrac%7B5%7D%7Bc%7D)
Do cross multiplication, we get
![c=5\sqrt{2}](https://tex.z-dn.net/?f=c%3D5%5Csqrt%7B2%7D)
<u>In the second right triangle:</u>
θ = 60°
Opposite side to θ = 4
Adjacent side to θ = d
![$\tan \theta=\frac{\text { Opposite side of } \theta}{\text { Adjacent side of } \theta}](https://tex.z-dn.net/?f=%24%5Ctan%20%5Ctheta%3D%5Cfrac%7B%5Ctext%20%7B%20Opposite%20side%20of%20%7D%20%5Ctheta%7D%7B%5Ctext%20%20%7B%20Adjacent%20side%20of%20%7D%20%5Ctheta%7D)
![$\tan 60^\circ=\frac{4}{d}](https://tex.z-dn.net/?f=%24%5Ctan%2060%5E%5Ccirc%3D%5Cfrac%7B4%7D%7Bd%7D)
![$\sqrt{3} =\frac{4}{d}](https://tex.z-dn.net/?f=%24%5Csqrt%7B3%7D%20%3D%5Cfrac%7B4%7D%7Bd%7D)
Do cross multiplication, we get
![$d=\frac{4}{\sqrt{3} }](https://tex.z-dn.net/?f=%24d%3D%5Cfrac%7B4%7D%7B%5Csqrt%7B3%7D%20%7D)
The value of
and
.
Answer:
_20
Step-by-step explanation:
that is my answer I just use calculator and I get that answer
One liter is 1,000 ml. plus 299 ml. is 1,299 ml. plus the additonal 398 ml. is 1,697 ml. which is 722 ml. less than the total volume. (722 ml. of water can still be added.)
A simple way to divide by a fraction is to turn the fraction upside down and multiply.
2 / (1/5) = 2 * (5/1) = 2 * 5 = 10