when constructing a perpendicular bisector why must the compass opening be greater than 1/2 the length of the segment?
2 answers:
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Answer:
1. Let, Jamie needs "$ g" for the trip. Then, according to the question,
g = 600 -------------------(1)
2. Let, Stella needs "$ m" for the trip. Then, according to the question,
m = 600 -------------(2)
3. If Jamie washes x no. of cars and Stella makes y no. of pies, then,
25x ≥ 600 ≥ 15y -------------(3)
4. Yes, Stella can afford to sign up for the trip with the money she earns.
Step-by-step explanation:
Let, Jamie needs "$ g" for the trip. Then, according to the question,
g = 600 -------------------(1)
Let, Stella needs "$ m" for the trip. Then, according to the question,
m = 600 -------------(2)
if Jamie washes x no. of cars for $25 each and Stella makes y no. of pies
for $ 15 each, then, according to the question,
25x ≥ 600 ≥ 15y -------------(3)
Yes, Stella can afford to sign up for the trip with the money she earns. Because, she can make at most 40 pies for $15 each and
$ = $ 600 = The amount of money Stella needs for the trip.
To calculate the square root, you can either use the √symbol on a calculator or you can manually find it using Prime Factorization. For non-perfect squares, Prime Factorization is the way to go.
The first two steps work for solving large perfect squares as well.
1. Divide your number into perfect square factors.
2. Take the square roots of your perfect square factors.
3. If your number doesn't factor perfectly, reduce your answer to simplest terms.
4. If needed, estimate. In some cases if you have memorized some of the square roots, you can estimate where the number would be.
ie.
you know that 
and 
, so you can estimate that the would be between 7 and 8 but closer to 8.
5. <span>Alternatively, reduce your number to its lowest common factors as your first step.</span><span> Finding perfect square factors isn't necessary if you can easily determine a number's prime factors (factors that are also prime numbers).
ie. </span>
=
=
=
Hope this helped!!!
The first two steps work for solving large perfect squares as well.
1. Divide your number into perfect square factors.
2. Take the square roots of your perfect square factors.
3. If your number doesn't factor perfectly, reduce your answer to simplest terms.
4. If needed, estimate. In some cases if you have memorized some of the square roots, you can estimate where the number would be.
ie.
5. <span>Alternatively, reduce your number to its lowest common factors as your first step.</span><span> Finding perfect square factors isn't necessary if you can easily determine a number's prime factors (factors that are also prime numbers).
ie. </span>
=
=
=
Hope this helped!!!