Option 3:
is the right answer
Step-by-step explanation:
Given expression is:
![(\sqrt{2})(\sqrt[3]{2} )](https://tex.z-dn.net/?f=%28%5Csqrt%7B2%7D%29%28%5Csqrt%5B3%5D%7B2%7D%20%29)
In order to simplify the expression we have to convert the radicals in exponents
![2^{\frac{1}{2}} . 2^{\frac{1}{3}}](https://tex.z-dn.net/?f=2%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%20.%202%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
As he base is same, the powers can be added
![=2^{\frac{3+2}{6}}\\=2^{\frac{5}{6}}](https://tex.z-dn.net/?f=%3D2%5E%7B%5Cfrac%7B3%2B2%7D%7B6%7D%7D%5C%5C%3D2%5E%7B%5Cfrac%7B5%7D%7B6%7D%7D)
Hence,
Option 3:
is the right answer
Keywords: Exponents, radicals
Learn more about exponents at:
#LearnwithBrainly
Answer:
x = 29
Step-by-step explanation:
If the triangles are congruent, that means the corresponding angles are equal. (angles in the same spot in each triangle)
So we have 2x - 8 = 50
Now solve for x
2x = 58 (add 8 to both sides)
x = 29 (divide by 2 on both sides to isolate x)
The answer is not 29°, because you can see the ° sign on the outside of the parenthesis on the second triangle.
The answer is 30
WoSo at 7 PM, the hour hand is on 7 and the minute hand is on 12.
That is a gap of five hours.
The whole clock has twelve hours.
We know that a clock is a circle.
A circle has 360 degrees.
So, the 12 hours of a clock make 360 degrees.
Each hour is 360/12=30 degrees.
So, 5 hours makes 30*5=150 degrees.
Answer: The vector represents its new position is (10,25)
Step-by-step explanation:
A bird starts from the ground, that is (0,0) position and flies at a certain speed for 5 seconds, and lands on a tree branch.The vector representing its position is (4,10).
The rate of increase = slope will be
Slope = 10/4 = 2.5
It continues to fly in the same direction and at the same speed for 5 or more seconds
Since it is travelling at same speed and time, Slope will be the same
Slope = (y - 10)/(x - 4) = 5/2
The new x position = 4 × 5/2 = 10
The new y position = 10 × 5/2 = 25
The vector represents its new position is (10 , 25)