Answer:
±sqrt(T*L/m)=v
Step-by-step explanation:
T=mv^2/L
We want to solve the equation for v
Multiply each side by L
T*L=mv^2/L
*L
T*L=mv^2
Divide each side by m
TL/m=mv^2/m
T*L/m=v^2
Take the square root of each side
±sqrt(T*L/m)=sqrt(v^2)
±sqrt(T*L/m)=v
I think it’s D. 156 degrees
Prime factor is a factor that is a prime number.
Prime factors of :
8 : 2 × 2 × 2. Also can be written as

12 : 2 × 2 × 3. Also can be written as

20 : 2 × 2 × 5. Also can be written as

30 : 2 × 3 × 5
56 : 2 × 2 × 2 ×7. Also can be written as

70 : 2 × 5 × 7
You can find all of them by using Factor Tree [ as shown in the picture] or Dividing by prime numbers.
I got B but I'll show you how I got that answer.
Let's look at AB and BC. AB = 3 and BC = 4.
3/4 = 0.75
On the triangle, AB = 90. And BC = 10x - 20. We need to solve for x and prove that AB/BC = 0.75.
Let's start with Choice A.
10(11) - 20 = 90.
AB = 90
BC = 90.
90/90 = 1. It doesn't equal 0.75. Meaning this answer is wrong.
Now let's look at Choice B.
10(14) - 20 = 120.
AB = 90
BC = 120
90/120 = 0.75
So, 3:4 = 90:120 making Choice B the correct Answer. Let me know if this is correct