Answer:

Step-by-step explanation:
Since there are 360 degrees in a circle, we can set up the following proportion:

Xy=30
x=6/11
6/11y=30
Divide by 6/11 on both sides
y=55
Answer:
Step-by-step explanation:
Rewrite this quadratic in standard form: 3x^2 + 7x - 1.
The coefficients of x are {3, 7, -1}, and so the discriminant is b^2 - 4ac, or
7^2 - 4(3)(-1), or 49 + 12, or 61. Because the discriminant is positive, this quadratic has two real, unequal roots
Answer:

Step-by-step explanation:
5^2x=7^x+1 ⇔ ln5^2x = ln7^x+1 ⇔ 2xln5 = (x+1)ln7 ⇔ (2ln5-ln7)x = ln7
⇔ x = ln7/(2ln5-ln7)
Answer:
The value of 2 in the first digit is 100,000 times greater than the value of 2 in the second digit
Step-by-step explanation:
Firstly, we need to know the value of the 2 in 234,567 and that is 200,000
The value of the 2 in 765,432 is simply 2
So the number of times the value of the first 2 is greater than the value of the second 2 is;
200,000/2 = 100,000
So the value of 2 in the first digit is 100,000 times greater than the value of 2 in the second digit