Question 1
It won't be completely simplified, because 8 can be factored further, so I would say the answer is "no"
A much better factorization would be
sqrt(72) = sqrt(36*2)
since 36 is the largest perfect square factor of 72
If you're curious how it simplifies, then it would do so like this
sqrt(72) = sqrt(36*2)
sqrt(72) = sqrt(36)*sqrt(2)
sqrt(72) = 6*sqrt(2)
Note: "sqrt" is shorthand for "square root"
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Question 2
For monomials like this, we simply cut the exponent in half, or we divide by 2.
28/2 = 14
Therefore, sqrt(x^28) = x^14
The given expression simplifies to x^14
Answer:
answer to 3 is
Step-by-step explanation:
1 hour = 0.7
2 hours = 1.4
3 hours = 2.1
4 hours = 2.8
5 hours = 3.5
6 hours = 4.2
7 hours = 4.9
8 hours= 5.6
9 hours= 6.3
10 hours= 7.0
11 hours = 7.7
12 hours =8.4
Answer:
Option 3: transitive property
Step-by-step explanation:
The previous statements are
2. ∠2 ≅ ∠3 ⇒ 2. ver. ∠s theorem
And
5. m∠3 = m∠7 ⇒ 5. def. of congruent
So, The previous proved statement to make use of the transitive property reason or proof
∴ 6. m∠2 = m∠7 ⇒ 6. transitive property
Note: the transitive property states that: If a = b and b = c, then a = c.
I will refer to the graphs as 1 - 6, starting at the top and going down. 6 is not present, though I will still include it by process of elimination.
All real numbers less than -7 or odd numbers between -7 and 7, exclusive. = Graph #6
All real numbers except -7. = Graph #2
Numbers divisible by 4 between -10 and 10. = Graph #4
All real numbers up to and including -1 or more than 1. = Graph #1
All real numbers between -7 and -4, inclusive, or between -1 and 1, exclusive. = Graph #3
Prime numbers between -10 and 10. = Graph #5
Hope this helps!
240 inches cut into 2 equal pieces is just taking half of the wire.
Making the two pieces of wire 120 inches.
If you bend one 120 inch wire into a square, that means that each side equals 30 inches. (A square has 4 sides. 120/4 = 30)
An area of a square is length times width, which the length equals 30 and width equal to thirty. 30 * 30 = 900. square inches.
120 wire bent into a triangle makes each side equal to 40. 120/3=40. The area of an equilateral triangle is height times width. The width is just one of the sides (40 inches) but the height needs some geometry. To find the height you need to use either 30 times sin(60) or 30 times cos(30), both are equal. To be clear, I will leave the height as 30sin(60). The area will be equal to

which can be simply written as 1200sin(60).
So the sum of both areas is