Answer:
With the Babylonian method 
and 
.
Step-by-step explanation:
- To find the square root of 600, do the following:
1. Make an initial guess: Because 
and 
you can start with 
as your initial guess.
2. Apply the formula:
where 
The number 
is a better approximation to 
3. Iterate until convergence:
For this apply the formula:
Convergence is achieved when the digits of 
and 
agree to as many decimal places as you desire.
Because 
and 
agree to six decimal places. we can say that an estimate for .
You can compare with the value that WolframAlpha gives you which is 
you can see that it agrees to six decimal places.
- To find the square root of 235, do the following:
1. Make an initial guess: Because 
and 
you can start with 
as your initial guess.
2. Apply the formula:
where 
3. Iterate until convergence:
Apply the formula:
Because and 
agree to six decimal places. We can say that an estimate for .
WolframAlpha gives you 
Sum of a number, x and 4 all divided by 3
sum of x and 4 means x+4
all divided by 3
evaluate for x=5
it's 3
Part (a)
We have some unknown number x which is a placeholder for a positive whole number (eg: x = 4).
What's happening to x are these two things, in this exact order
- Multiply by 85
- Add 60
We multiply first, then add. The order is important. We're following the order of operations PEMDAS here. If we knew what x was, then we'd go forward in the PEMDAS chain; however, we don't know what x is. So we go backwards in the chain to isolate x. This will undo every operation applied to x.
So,
C = 85x+60
C-60 = 85x
85x = C-60
x = (C-60)/85
In the second step, I subtracted 60 from both sides to undo the "plus 60" operation. Then in the last step, I divided both sides by 85 to undo the multiplication.
<h3>Answer:
x = (C-60)/85</h3>
===============================================================
Part (b)
How many ski trips can we take if we spend $315? We simply plug in C = 315 into that equation we just found at the end of part (a).
Doing so gets us...
x = (C-60)/85
x = (315-60)/85
x = 255/85
x = 3
We can take 3 ski trips if we spent a total of $315
Repeat the same steps for C = 485
x = (C-60)/85
x = (485-60)/85
x = 425/85
x = 5
We can take 5 ski trips if we spent a total of $485
Note how plugging something like x = 5 into the original equation yields:
C = 85x+60
C = 85*5+60
C = 425+60
C = 485
Showing that x = 5 leads to C = 485. This helps confirm the second answer. I'll let you check the first answer.
<h3>Answers: 3 trips and 5 trips respectively</h3>
Find the area of the base of the pyramid, then find the area of each side then add the areas. hope this help :)
