Answer:
wow that is a lot
Step-by-step explanation:
maybe you should send it in bits not all at once
The central angle COA = 2 * angle at the circumference
m < COA = 2 * 80 degrees
Answer:
The answer is ⇒ x = 0.73244
Step-by-step explanation:
∵ 90^x = 27 ⇒ insert log in both sides
∴ 
∵ 90 = 9 × 10 , 27 = 3³
∵ log(a)^<em>b</em> = <em>b</em><em> </em>log(a)
∴ log(9 × 10)^x = x log(9 × 10)
∴ 
∵ log(a × b) = log(a) + log(b)⇒log(9 × 10) = log(9) + log(10)
∴ ![x[log(9)+log(10)]=3log(3)](https://tex.z-dn.net/?f=x%5Blog%289%29%2Blog%2810%29%5D%3D3log%283%29)
∵ log(10) = 1 , 9 = 3²
∴ ![x[log(3)^{2}+1]=3log(3)](https://tex.z-dn.net/?f=x%5Blog%283%29%5E%7B2%7D%2B1%5D%3D3log%283%29)
∴
∴ x = (3log3)/[2log(3)+1]
∴ x = 0.73244
Use the Pythagorean theorem:
Height is 14, base is 3, so we can calculate the length required.
Length = sqrt(14^2 + 3^2)
Length = sqrt( 196 + 9)
Length = sqrt(205)
Length = 14.32 feet.
The ladder needs to be 14.32 feet. The longest her ladder can be is 14 feet so her ladder won’t work.
Answer:
B. $79.45
Step-by-step explanation:
The equation for simple interest is I = PRT, where I = interest earned, P = principal/amount invested, R = rate as a decimal, and T = time in years.
For this example, we'll calculate the interest earned, then add to the principal to get the total amount of money in her account.
I = (70)(0.045)(3)
I = 9.45
70 + 9.45 = $79.45
Please let me know if you have questions.