Jim's Square and square roots questions
Determine the prime factorization of 4
answer: 4=2x2
is 4 a perfect square?
answer: yes because the prime factor, 2 appears an even number
a rectangle has an area of 64 m2, determine the prime factorization of 64
answer: 64:2x2x2x2x2x2
is 64 a perfect square
answer: yes because the prime factor 2 appears an even number
Write the prime factorization of each number, Identify the perfect square
42:2x3x7 this is not a perfect square
169:13x13 this is a perfect square
256:2x2x2x5 this is a perfect square
Showing posts with label square roots. Show all posts
Showing posts with label square roots. Show all posts
Friday, December 18, 2009
Tuesday, December 15, 2009
Jeric's Scribepost for December 14
Question 16
Okay so yeah, what I did was I squared 8m and 6m. So really it's 8m x 8m =64m2 ( I dont know how to make the small squared sign so yeah ) and 6m x 6m = 36m2.
Then from there I added them both to get 100. 36m2 + 64m2 = 100m2. And then I found the square root of 100 and got 10m.
Since the angle has to be 90 degrees most likely it would have to be a perfect square and since 8m and 6m don't equal a perfect square I don't think it would equal 90 degrees. It would have to be 10m to be a perfect square.
GOT SOME HELP SO DON'T HATE !!! :D
Monday, December 14, 2009
Aldrine's Scribepost for Dec 14 2009
QUESTION 9!
9. a) Calculate the areas of the three squares.
20cm= 400cm2
40cm= 1600cm2
50cm= 2500cm2
b) Is this triangle a right triangle? Explain.
No, because when you add 400+1600 the answer is 2000 its sopose to be 2500 to make the right triangle. 20 squared + 40 squared = 50 squared this is called phytagoream. If you add 400+1600 and the answer is 2500 you make a right triangle.
9. a) Calculate the areas of the three squares.
20cm= 400cm2
40cm= 1600cm2
50cm= 2500cm2
b) Is this triangle a right triangle? Explain.
No, because when you add 400+1600 the answer is 2000 its sopose to be 2500 to make the right triangle. 20 squared + 40 squared = 50 squared this is called phytagoream. If you add 400+1600 and the answer is 2500 you make a right triangle.
Michelle's Scribepost for December 14, 2009
Question 12.
(You add the two legs to find the hypotenuse,or the Pythagorean Relationship?)
a) 20 cm squared + 32 cm squared = 52 cm squared
b) 100 mm squared + 576 mm squared = 676 mm squared
c) 90 cm squared - 25 cm squared = 65 cm squared (You minus the 2 numbers because your trying to find the other "leg" instead of finding the hypotenuse. I know this because the opposite side of the right angle is the hypotenuse, not the leg.)
d) 12 cm squared + 12 cm squared = 24 cm squared
John's Scribepost for December 14, 2009
My question is:
Question 10 pg.92
10. A triangle has side of 120 mm, 160 mm, and 200 mm.
Is the triangle a right triangle? Explain your reasoning?
Answer:
Yes the triangle is a right triangle. The sum of the areas of the two smaller
squares are equal to the area of the largest square.
2 2 2
120 + 160 = 200
-JOHN!
Alvin's Scribepost for December 14, 2009
Question #14
Show whether each triangle in the table is a right triangle.
Triangle Side Lengths
A 9, 12, 15
B 7, 8, 11
C 7, 24, 25
D 16, 30, 34
E 10, 11, 14
Triangle A is a right triangle because 9 squared is 81 and 12 squared is 144, and 15 squared is 225 which then you can make this statement 81 + 144 = 225 ( 9 squared + 12 squared = 15 squared).
Triangle B is not a right triangle because 7 squared is 49 and 8 squared is 64, and 11 squared is 121 which then you can't make an addition statement because 49 + 64 doesn't equal 121 it equals 113.
Triangle C is a right triangle because 7 squared is 49 and 24 squared is 576 , and 15 squared is 625 which then you can make an addition statement because 49 + 576 = 625 ( 7 squared + 24 squared = 25 squared)
Triangle D is a perfect square because 16 squared is 256 and 30 squared is 900, and 34 squared is 1156 which then you can make an addition statement because 256 + 900 = 1156 ( 16 squared + 30 squared = 34 squared)
Triangle E is not a perfect square because 10 squared is 100 and 11 squared is 121, and 14 squared is 196 which cannot make an addition statement because 100 + 121 is clearly 221.
(which I meant addition statement, I really meant Pythagorean theorem)
Show whether each triangle in the table is a right triangle.
Triangle Side Lengths
A 9, 12, 15
B 7, 8, 11
C 7, 24, 25
D 16, 30, 34
E 10, 11, 14
Triangle A is a right triangle because 9 squared is 81 and 12 squared is 144, and 15 squared is 225 which then you can make this statement 81 + 144 = 225 ( 9 squared + 12 squared = 15 squared).
Triangle B is not a right triangle because 7 squared is 49 and 8 squared is 64, and 11 squared is 121 which then you can't make an addition statement because 49 + 64 doesn't equal 121 it equals 113.
Triangle C is a right triangle because 7 squared is 49 and 24 squared is 576 , and 15 squared is 625 which then you can make an addition statement because 49 + 576 = 625 ( 7 squared + 24 squared = 25 squared)
Triangle D is a perfect square because 16 squared is 256 and 30 squared is 900, and 34 squared is 1156 which then you can make an addition statement because 256 + 900 = 1156 ( 16 squared + 30 squared = 34 squared)
Triangle E is not a perfect square because 10 squared is 100 and 11 squared is 121, and 14 squared is 196 which cannot make an addition statement because 100 + 121 is clearly 221.
(which I meant addition statement, I really meant Pythagorean theorem)
Kathleen's Scribepost for December 14, 2009
Question #4 on the text book.
What are the areas of the three squares shown ?
e = 900mm2
f = 1600mm2
g = 2500mm2
How to get the area , just mulitply the number by itself.
30mm x 30mm = 900mm2
40mm x 40mm = 1600mm2
50mm x 50mm = 2500mm2
What are the areas of the three squares shown ?
e = 900mm2
f = 1600mm2
g = 2500mm2
How to get the area , just mulitply the number by itself.
30mm x 30mm = 900mm2
40mm x 40mm = 1600mm2
50mm x 50mm = 2500mm2
Friday, December 11, 2009
Michelle's Scribepost
Questions from the Homework Book.
List the perfect squares immediately BEFORE and AFTER the whole number.
Martina's painting is on a square canvas with an area of 45cm squared. She needs to buy a frame for the painting. Estimate the square's side length to one decimal place. Show your work.
(6.7 x 6.7 =44.89) Is close to 45, since I rounded one decimal place.
Branden's new game board has 225 squares. All of the small squares form one large square. How many small squares are along one side? Show your work.
( 15 x 15 = 225 ) There were 15 small squares along one side of the game board.
List the perfect squares immediately BEFORE and AFTER the whole number.
Martina's painting is on a square canvas with an area of 45cm squared. She needs to buy a frame for the painting. Estimate the square's side length to one decimal place. Show your work.
(6.7 x 6.7 =44.89) Is close to 45, since I rounded one decimal place.Branden's new game board has 225 squares. All of the small squares form one large square. How many small squares are along one side? Show your work.
( 15 x 15 = 225 ) There were 15 small squares along one side of the game board.
Tuesday, December 8, 2009
charis' scribepost for dec. 8, 2009
1. which number is a perfect square ?
a) 10
B) 20
C)50
D) 100
answer: D , 100.
2. what is the side length of the square in the diagram ?
A) 6 mm
B) 9 mm
C) 12 mm
D) 18 mm
Answer : B, 9 mm
3. A square has a side length of 7 cm. what is the area of the square ?
A) 14 cm2
B) 21 cm2
C) 28 cm2
D) 49 cm2
Answer : D, 49 cm2
a) 10
B) 20
C)50
D) 100
answer: D , 100.
2. what is the side length of the square in the diagram ?
A) 6 mm
B) 9 mm
C) 12 mm
D) 18 mm
Answer : B, 9 mm
3. A square has a side length of 7 cm. what is the area of the square ?
A) 14 cm2
B) 21 cm2
C) 28 cm2
D) 49 cm2
Answer : D, 49 cm2
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