We have to round each whole number to the given place value.
We have to round the number 437 to the tens place.
Since the digit at the tens place is 3.
Since the digit at its previous place that is ones place is '7' which is greater than 5.
Therefore, we can round the number 437 to 440.
Now, consider the another number 64,328, we have to round this number to the nearest ten thousand place.
Since the digit at ten thousands place is 6.
And the digit at its previous place that is, at thousands place is 4.
Since this number is less than 5.
Therefore, the given number will round to 60,000.
The answer is b -9 < x < 12
Answer: d = 11/2 or 5 1/2
Step-by-step explanation:
2d - 6 = 5
+ 6 + 6
2d = 11
/2 /2
d = 11/2 or 5 1/2
Answer:
g(x)=3(x+3)^2-8
Step-by-step explanation:
You can solve by using these acronyms.
H. orozontal.
I. nside.
O. pposite.
Meaning that a horozontal translation would be written inside the parenthesis and the poopsite sigh you would usually (Ex. Left is usually negitave but in this case it is positive).
The other acronym is,
V. erticle.
O. utside.
S. ame.
Meaning for a vrerticle translation the number would go on the outside of the parenthesis and tha sign would be normal (Ex. Negitave would be left and positive would be right).
For this one use H.I.O sinse you are moving on a horozontal plain. You are only working with the (x-2) nothing else matters.
Since you are moving left the number will move up 3 hence the O.
<h2><u>This transformation leaves you with g(x)=3(x+3)^2-8</u></h2>
The dimension that would give the maximum area is 20.8569
<h3>How to solve for the maximum area</h3>
Let the shorter side be = x
Perimeter of the semi-circle is πx
Twice the Length of the longer side
![[70-(\pi )x -x]](https://tex.z-dn.net/?f=%5B70-%28%5Cpi%20%29x%20-x%5D)
Length = ![[70-(1+\pi )x]/2](https://tex.z-dn.net/?f=%5B70-%281%2B%5Cpi%20%29x%5D%2F2)
Total area =
area of rectangle + area of the semi-circle.
Total area =
![x[[70-(1+\pi )x]/2] + [(\pi )(x/2)^2]/2](https://tex.z-dn.net/?f=x%5B%5B70-%281%2B%5Cpi%20%29x%5D%2F2%5D%20%2B%20%5B%28%5Cpi%20%29%28x%2F2%29%5E2%5D%2F2)
When we square it we would have
![70x +[(\pi /4)-(1+\pi)]x^2](https://tex.z-dn.net/?f=70x%20%2B%5B%28%5Cpi%20%2F4%29-%281%2B%5Cpi%29%5Dx%5E2)
This gives
![70x - [3.3562]x^2](https://tex.z-dn.net/?f=70x%20-%20%5B3.3562%5Dx%5E2)
From here we divide by 2
The maximum side would be at
This gives us 20.8569
Read more on areas and dimensions here:
brainly.com/question/19819849
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