MATHEMATICS HIGH SCHOOL

Whats the square root of 108

Answers

Answer 1
Answer: So,

√(108)

Find all perfect powers.
√(2^2*3^2*3)

Simplify.
2*3 √(3)
6 √(3)\ or\ approximately\ 10.392

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What are three consecutive integers whoose sum of 138? Write and solve an equation with one variable.
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Find the zeros of the function h(x)=x^2-5x-50 by factoring

Answers

h(x)=x^2-5x-50=x^2-5x-25-25=x^2-25-5x-25\n\n=(x^2-25)-(5x+25)=(x^2-5^2)-5(x+5)\n\n=(x-5)\underline{(x+5)}-5\underline{(x+5)}=(x+5)(x-5-5)=(x+5)(x-10)\n\nAnswer:Zeros\ are\ x=-5\ and\ x=10.

Two towns A and B are 12.0 mi apart and are located 5.0 and 3.0 mi, respectively, from a long, straight highway. A construction company has a crontract to build a road from A to the highway nad then to B. Analyze a model to determine the length to the nearest tenth of a mile of the shortest road that meets these requirements

Answers

The solution to the problem is as follows:

d=AS+SB=AS+SB'=√(AB"²+B'B"²) 
AB"²=12²-2²=140
 
d=√(140+8²)=√204=14.283 miles

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Gloria has a lunch account in the school cafeteria. The balance, f(x), in her account can be represented by the function f(x) = –1.50x + 40, where x is the number of meals purchased. Suppose –1.50 changed to –2.75. What does this mean in the context of the problem?

Answers

f(x) = -1.50x + 40.....basically, this is saying that Gloria has  40 bucks in her lunch account and each meal costs her 1.50.

By changing the -1.50 to -2.75 means she is paying more for her meals...the cost of a meal went up from 1.50 to 2.75.

Final answer:

The change from -1.50 to -2.75 indicates an increase in the cost of the meals. Consequently, Gloria's lunch account balance will deplete faster now.

Explanation:

In the context of this problem, f(x) = –1.50x + 40 represents how much money Gloria has left in her lunch account after purchasing x number of meals. The coefficient of x, -1.50, indicates the cost per meal. If –1.50 changed to –2.75, it would mean that the cost of each meal has increased from $1.50 to $2.75. Consequently, Gloria's account balance would decrease faster, signifying that less meals can now be purchased with the same amount of money.

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When applied to a triangle, a dilation with a positive scale factor does not preserve __________. A. angle measure B. orientation C. shape D. length

Answers

d. length because it's a dilation 

Answer:

The correct answer is d) length

Which statement is true about the similarity of two squares of different sizes ABCD and WXYZ?A) ABCD can be carried onto WXYZ using only dilation.
B) ABCD can be carried onto WXYZ using only rotation.
C) ABCD can be carried onto WXYZ using only reflection.
D) ABCD can be carried onto WXYZ using only translation.

Answers

Answer:

the correct A

Step-by-step explanation:

Answer: A) ABCD can be carried onto WXYZ using only dilation.

Step-by-step explanation:

The number of 8th graders in choir is three times the number of the 7th graders. if there are 48 8th graders choir how.many 7th graders are in choir

Answers

divide 48 by 3, for every three 8th graders, there is one 7th grader in choir
48÷3=16
There's 16 7th graders in choir !!
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