Answer:
b
Step-by-step explanation:
using the law of logarithms
• log
= nlogx
given
= 29 ( take log of both sides, that is base 10 )
log
= log 29, hence
tlog 3 = log29 (divide both sides by log 3 )
t =
≈ 3.0650 → b
Answer:
482 km
63.94 degrees
Step-by-step explanation:
to solve this question we will use the cosine rule. For starters, draw your diagram. From point A, up north is 500km and 060 from there, another 300. If you join the point from the road junction back to the starting point, yoou have a triangle.
Cosine rule states that
C = 
where both A and B are the given distances, 500 and 300 respectively, C is the 3rd distance we're looking for and c is the given angle, 060
solving now, we have
C = 
C = ![\sqrt{250000 + 90000 - [215000 cos(60) }]](https://tex.z-dn.net/?f=%5Csqrt%7B250000%20%2B%2090000%20-%20%5B215000%20%20%20cos%2860%29%20%20%7D%5D)
C = ![\sqrt{340000 - [215000 * 0.5 }]](https://tex.z-dn.net/?f=%5Csqrt%7B340000%20-%20%5B215000%20%2A%200.5%20%20%7D%5D)
C = ![\sqrt{340000 - [107500 }]](https://tex.z-dn.net/?f=%5Csqrt%7B340000%20-%20%5B107500%20%20%7D%5D)
C =
C = 482 km
The bearing can be gotten by using the Sine Rule.
= 
sina/500 = sin60/482
482 sina = 500 sin60
sina = 
sina = 0.8983
a = sin^-1(0.8983)
a = 63.94 degrees
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Terms/Coefficients
- Factoring
<u>Algebra II</u>
- Discontinuities
- Domain Restrictions
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u>Step 2: Simplify</u>
- [Fraction] Factor numerator:

- [Fraction] Factor denominator:

- [Fraction] Divide:

We know that <em>x</em> cannot equal -9 because we would get a divide by 0 (undefined) error. We also know that <em>x</em> cannot equal 12 because it was canceled out when simplifying.
17/56
So to make sure that you are subtracting right, you make the denominators the same. So the denominator is 56 because it is a common number for 7 and eight. And then whatever you do to the bottom you got to do to top so time seven by eight and 4 which is 49 and 24 so 49-24 is 17/56 so the answer would be this because you can’t simplify the answer down.
161/4=40.25 so none of those choices match