Answer:
Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another. In our attempt to prove all circles are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another.
Step-by-step explanation:
Answer:
6 lengths
Step-by-step explanation:
You essentially want the smallest integer solution to ...
60x ≥ 350
x ≥ 350/60
x ≥ 5 5/6
The smallest integer solution to this is x = 6.
The minimum number of lengths of hose needed is 6.
_____
Informally, you know that dividing the required total length by the length of one hose will tell you the number of required hoses. You also know the ratio 350/60 is equivalent to 35/6 and that this will be between 5 and 6. (5·6 = 30; 6·6 = 36) The next higher integer value will be 6.
Hey there!
Palindromes are numbers that can be written the same way backwards, such as 101 and 12321. You're looking for some numbers which are palindromes, and so are their square numbers.
Alright, I'll give you four of those:
- 121 is a palindrome, and its square root is 11, both palindromes. 11 x 11 = 121
- 484 is a palindrome, and its square root is 22, both palindromes. 22 x 22 = 484
- 10201 is a palindrome, and its square root is 101, both palindromes. 101 x 101 = 10201
- 12321 is a palindrome, and its square root is 111, both palinromes. 111 x 111 = 12321
Hope this helps!
