Answer:
2/3 : 3/2 = 4 : 9
Step-by-step explanation:
LCD(2/3, 3/2) = 6
2/3 : 3/2 = 4/6 : 9/6
Our two fractions now have like denominators so we can multiply both by 6 to eliminate the denominators.
2/3 : 3/2 = 4 : 9
The GCF of 4 and 9 is 1
Divide both terms by the GCF, 1:
4 ÷ 1 = 4
9 ÷ 1 = 9
The ratio 4 : 9 cannot be reduced further by dividing both terms by the GCF = 1 :
Therefore:
2/3 : 3/2 = 4 : 9
Answer:
![3\sqrt[4]{5}](https://tex.z-dn.net/?f=3%5Csqrt%5B4%5D%7B5%7D)
Step-by-step explanation:
Given: ![\frac{\sqrt[4]{810} }{\sqrt[4]{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B4%5D%7B810%7D%20%7D%7B%5Csqrt%5B4%5D%7B2%7D%20%7D)
Top and bottom has fourth root. so we take fourth root in common
![\sqrt[4]{\frac{810}{2} }](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7B810%7D%7B2%7D%20%7D)
When we divide 810 by 2. we will get 405
![\sqrt[4]{405}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B405%7D)
Now we simplify the fourth root
405 can be written as 3*3*3*3*5
![\sqrt[4]{3*3*3*3*5}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B3%2A3%2A3%2A3%2A5%7D)
![3\sqrt[4]{5}](https://tex.z-dn.net/?f=3%5Csqrt%5B4%5D%7B5%7D)
The slope is 4/3 the unit rate is 1
Answer:
x ≈ 20.31
Step-by-step explanation:
By applying tangent rule in the given right triangle,
tan(55°) = 
Measure of the opposite side = 29 units
Measure of the adjacent side = x
Substitute these values in the expression,
tan(55) = 
x = 
x = 20.306
x ≈ 20.31
Velocity is speed. It doesn't matter what direction.