Danicka's Textbook Answers #s 5,8,17

14)Estimate each value,to one decimal place.Check your answer with a calculator.

Estimate: a) 3.6 b)9.3 c)11.6

calculate: a) 3.7 b)9.2 c)11.6

8.Identify all possible whole numbers with a square root larger than 2 and smaller than 3.

17)Carmel wants to mount an 18cm x 18 cm square picture on a square board that is four times the area of the picture.

a) What is the area of the picture? 18x18=324 cm2
b) What is the area of the board? 324x4=1,296cm 2

c)What are the dimension of the board? √296 =136

Here's a link :http://www.homeschoolmath.net/teaching/square-root-algorithm.php

1.Pythagorean relationship means that the two legs(a^2+b^2) equals c^2 or the hypotenuse

3)I messed up on this one.
here's a link:http://www.mathsisfun.com/square-root.html

Raeesa's Square Root Answers #-5,12,and 17

17)a,b,c

12) a,b,c.

c- yes because the side lengths of the rug is shorter than both side lengths of the room.

5) a,b,c.

http://www.youtube.com/watch?v=iGJzW7iC5no&feature=related

1)

This Pythagorean Relationship means that the sum of the areas of the two shortest sides of a right angle triangle (a and b) must always be equal to the area of the hypotenuse (c).

2) Solve for the missing side length.

a^2+b^2=c^2

12^2+ 5^2= c^2

144+ 25= c^2

169=c^2

root 169= root of c

13cm = c

the hypotenuse equals to 13cm.

3) Is this a right triangle? Prove it!!!

a^2 +b^2= c^2

8cm^2+6cm^2= 11cm^2

(8 times 8) + (6 times 6)= ( 11 times 11)

64+ 36=121

100 =/121

No, this is not a perfect right triangle because a^2 + b^2 is not equal to c^2.

Kassey's Textbook Questions

4.    Estimate the square root for each number, to one decimal place. check with a calculator.


Estimate: A) 8.4        B) 10.2      C) 7.3


Calculations: A)  8.4    B) 10.1   C) 7.2

16. A fitness room center will install a square hot tub in a 6m x 6m room. They want the tub to fill no more than 75% of the rooms area.

A) what is the maximum area of the hot tub?

B)  what dimensions to a tenth of a meter will the fitness center order from the manufacturer? Explain.




























9)  what are all the possible whole numbers that have a square root between 4 and 5? 


A:  17, 18, 19, 20, 21, 22, 23, 24

 Here is a video for square and square roots:










Pythagoras:


1) Explain the Pythagoras Relationship:
The relationship between the lengths of the sides of a right triangle.  The sum of the area of the squares attached to the legs of a right triangle equals the area of the square attached to the hypotenuse. 









2) What is the missing length?

It is 13cm because the hypotenuse ( or C ) has to be a larger

 number than the legs ( or A, B ). 

3) Is this a right triangle ?
   This is not a right triangle because a square + b square does not = c square also the legs added together does not equal the hypotenuse.

Serena's Square Roots Scribepost

# 5, 10, 15 (textbook)

Here is a link on square roots:

1. Explain the pythagorean relationship.

-The relationship between the lengths of the sides of a right triangle

-The sum of the areas of the squares attached to the legs of a right triangle equals the area of the square attached to the hypotensue

2. Find the missing side length

3. Is this a right triangle?

Ghelo's Square Root Scribe Post

9.What are all the possible whole numbers that have a square root between 4 and 5?

17,18,19,20,21,22,23,24

14.Alex is thinking of a number. The number has a square root between 7 and 8 and is

a multiple of 12.

a.)

b.)Is there more than one answer? Explain. No there is no more answer possible because all the other numbers that are a multiple of twelve are rather lower than 49 or higher that 64.

Ex. 48 is below 49 and 72 is higher than 64

15. Order the following numbers from least to greatest : 7,√46, 5.8,√27, 6.3

√46 = 6.7 and √27= 5.1

5.1, 5.8, 6.3, 6.7, 7

Here is a are some links to help you with pythagoras !

http://www.mangahigh.com/en_us/games/pemdasblaster

http://www.kidsnumbers.com/pythagorean-theorem-game.php

Here is a video to help you!

SORRY I couldn't add colour it won't allow me !

Pythagoras Scribe Edit

1. Answer in a short paragraph and with diagrams

In a right triangle, a2 and b2 are the area of the legs' side length. The formula c2 = a2+b2 simply means that if you add the area of the square attached to the right triangle's legs, the sum equals the area of the square attached to the right triangle's hypotenuse. Also, if you square root the area of the square attached to the hypotenuse, you'll get the side length of c.

2. Solve for the missing side length.

12cm =a

5cm = b

?= c

a^2+b^2= c^2

12^2+5^2=c^2

144+25= c^2

c^2 = 169 cm^2

√c^2=√169

c = 13 cm

3. Is this a right triangle? Prove it!!!

a^2 = 8 cm

b^2= 6 cm

c^2= 11 cm

ANSWER :

a^2 +b^2= c^2

8cm^2+6cm^2= 11cm^2

(8 times 8) + (6 times 6)= ( 11 times 11)

64+ 36=100

c^2 =100 NOT 121

No, this is not a perfect right triangle because a^2 + b^2 is not equal to c^2.

Paolo's Square Root Post

Questions 5, 10 and 9

5. Estimate each value, to one decimal place.

Check your answer using a calculator.

a)√14 b)√86 c)√136

3.7 9.2 11.6

10. Kai uses an entire can of paint on a square backdrop

for a school play. The label on the can states that on can covers 27m

of the wall surface. Estimate the backdrop's side length , to one decimal place

9.What are all possible whole numbers that have a square

root between 4 and 5?

17,18,19,20,21,22,23,24,

Alyshia's Textbook Questions pgs 98-100 # 6, 14, and 17

6. What is an example of a whole number that has a square root between 9 and 10? 14. Alex is thinking of a number.

a) What number could he be thinking of?

b) Is there more than one answer? Explain.

There is only one answer possible because the number must be between 49 and 64 and the only multiple of 12 that is between 49 and 64 is 60.

17. Carmel wants to mount an 18cm by 18cm square picture on a square board that is four times the area of the picture.

a) What is the area of the picture?
b) What is the area of the board?

c) What are the dimensions of the board?

Here is a link if you are still having troubles.

Here is a video that also might help.



The pythagorean relationship is the relationship between the lengths of the sides of a right triangle. The sum of the areas of the squares attached to the legs of a right triangle equals the area of the square attached to the hypotenuse.



#2 Solve for the missing side length



#3 Is this a right triangle? Prove it!!!!!

No this triangle is not a right triangle because the sum of the areas of the two squares attached to the legs do not equal the area of the square attached to the hypotenuse.

Here is a link to help you on pythagorean relationships.