Answer:
3/8
Step-by-step explanation:
2 + 3=5, (8/8)-( 5/8) =3/8
To find the scale factor you put the first one on top and second on bottom we get 12/16
So the scale factor is .75
Answer: ![3\sqrt{3}](https://tex.z-dn.net/?f=3%5Csqrt%7B3%7D)
Step-by-step explanation:
![\tan 60^{\circ}=\frac{x}{3}\\\\\sqrt{3}=\frac{x}{3}\\\\x=\boxed{3\sqrt{3}}](https://tex.z-dn.net/?f=%5Ctan%2060%5E%7B%5Ccirc%7D%3D%5Cfrac%7Bx%7D%7B3%7D%5C%5C%5C%5C%5Csqrt%7B3%7D%3D%5Cfrac%7Bx%7D%7B3%7D%5C%5C%5C%5Cx%3D%5Cboxed%7B3%5Csqrt%7B3%7D%7D)
Answer:
C. ![\sqrt{48}](https://tex.z-dn.net/?f=%20%5Csqrt%7B48%7D%20)
Step-by-step explanation:
Applying the leg rule which is given as:
Hypotenuse/leg = leg/part
Hypotenuse = 8 cm
Leg = z
Part = 6 cm
Plug in the values
![\frac{8}{z} = \frac{z}{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7Bz%7D%20%3D%20%5Cfrac%7Bz%7D%7B6%7D%20)
Cross multiply
![z*z = 8*6](https://tex.z-dn.net/?f=%20z%2Az%20%3D%208%2A6%20)
![z^2 = 48](https://tex.z-dn.net/?f=%20z%5E2%20%3D%2048%20)
![\sqrt{z^2} = \sqrt{48}](https://tex.z-dn.net/?f=%20%5Csqrt%7Bz%5E2%7D%20%3D%20%5Csqrt%7B48%7D%20)
![z = \sqrt{48}](https://tex.z-dn.net/?f=%20z%20%3D%20%5Csqrt%7B48%7D%20)