Textbook Questions

0. Kai uses an entire can of paint on a square backdrop for the school play. The label on can states that one can cover 27 m squared of wall surface. Estimate the backdrop's side length to one decimal place.

Answer 5.2 m √27 = 5.2

19. Estimate the square root of 160 100. Explain how you determined your estimate.

√160= 40

√100= 10

40x10= 400 answer 400

A) The area of the picture is 324 m2.

B) The area of the board is 1296 m2.

C) The dimensions of the board is 36 x 36.

Textbook post

Question 12

A) 3.2 m

B) Calculator - 3.316

C) It will fit because the are

a of his bedroom is 20m2 and the rug's area is 11 m2

Question 10

A

Question 4

Pythagorean Relationship Scribe

1. Pythagorean relationship is the sum of the square attached to the legs is equal to the square attached to the hypotenuse. It's also the formula to find the missing side and determine wether it's a right triangle or not.

2. Solve for the missing side length.


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

Jay Jay Textbook Questions

17.

a). What is the area of the picture?

324cm²

b).What is the area of the board?

1296cm²

c).What are the dimensions of the board?

36cm²

19. Estimate the square root of 160 100. Explain how you determined your estimate.

160 = 40

100 = 10

40x10= 400

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

81

TextBook Questions Page 92-93 #5, 9, 13

5.A right triangle has side lengths of 40mm, 75mm, and 85mm.
a)Sketch the triangle. Draw a square on each side of the triangle.
b)What are the areas of the three squares.
c)Write an addition statement with the areas of the three squares.

a)








b)40mm= 40x40= 1,600
75x75= 5,625
85x85= 7,225
c) 1600+5625+7226= 14,451 mm

9.Calculate the areas of the three squares
b) Is this triangle a right triangle? Explain.






4cm= 4x4=16cm
2x2= 4cm
3x3= 9cm

b) No because 2+3 cm squared has to equal 4cm squared but it does not. 9+4 does not equal 16.



13. A small triangular flower bed has a square stepping stone at each of its sides. Is the flower bed in the shape of a right triangle? Explain your reasoning.

It is not a right triangle because the 2 legs (4800cm) has to equal the hypotenuse (9800cm) if u add them up. 4800+4800=9600 cm
not 9800cm.

Anita's Square Root Post

11) The square root has an area of 20cm²

a) Use perfect squares to estimate the side length to one decimal place.

b) Check your answer using a ruler to measure the side of the square. Measure to the nearest tenth of a centimeter.

Solution:

Step 1: Make a number line putting the closest perfect square lesser than the number to the left, then placing the closest perfect square of greater value than the given number to the right.

Step 2: On the number line shown, 16 is the square root of 4, and 25 is the square root of 5. The number (20) is closer to 16, so we place 20 slightly to the left of the median number.

Step 3: Count how many times the lesser number (16) has to move to become 20, which is four times. Now you add a '4' to the tenths place behind the whole number. The square root of 20 is approximately 4.4 .

14) Alex is thinking of a number:

The number has a square root between 7 and 8, and it is a multiple of 12.

a) What number could he be thinking of?

Solution:

Square root of 7: 49

Square root of 8: 64

Numbers in between 49 and 64: 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63.

Multiples of 12: 60.

b) Is there more than one answer? Explain.

No, there cannot be more than one answer.

15) Order the following numbers from least to greatest:

Solution: find all the square roots of 46 and 27 to make ordering them from least to greatest easier.

Least to greatest:

Pythagorean Relationship Scribe Post

1. Answer in a short paragraph and with diagrams

The Pythagorean relationship is the sum of the two legs of a right triangle which are equal to the hypotenuse. It's also a formula that find the missing value of a side and if the right triangle is actually a right triangle or not.

2. Solve for the missing side length.

.

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

.