Answer:
Step-by-step explanation:
In a 30-60-90 triangle, the ratio of the lengths of the angles' opposite sides are <em>1-√3-2</em>.
If the long leg is 8, then the short one is 8/√3, or <em>8√3/3</em>.
Therefore, the hypotenuse, which is <em>double the short leg</em>, is 16√3/3.
X= 30
I don’t know if this is correct or not
A + 2c - 5b - c + a - b
We're gonna have to combine like terms.
(a+a)+(-5b-b)+(2c-c)
2a-6b+c This is your answer
<h2>
Hello!</h2>
The answer is: A. 8.75 + 0.50 x ≤ 15.00
<h2>Why?</h2>
By isolating the variable (x), we have:

So, with the result of x ≤ 12.5 , we can know that the most amount of additional toppings Kia got, is 12 toppings.
The inequality is telling us that Kia will spend 15$ or less if she orders 12 toppings or less.
Have a nice day!
Answer:
t = 11.45 years
Step-by-step explanation:
A = p(1+r/n)^nt
A = future value = $12000
P = present value = $6000
n = number of periods = 4
r = interest rate = 6.1% = 0.061
t = number of years = ?
t = log(A/P) / n[log(1 + r/n)]
= log(12000/6000) / 4[log(1+0.061/4)]
= log(2) / 4[log(1 + 0.01525)]
= 0.3010 / 4[log(1.01525)]
= 0.3010 / 4(0.00657)
= 0.3010 / 0.02628
= 11.45 years