Answer:
The new area will be 1/4 of the old area.
Step-by-step explanation:
If you don't know the answer already from (1/2)^2 = 1/4, you can figure it out.
new area = (1/2·5 mm)·(1/2·5 mm) = (1/2)^2·(5 mm)^2
old area = (5 mm)·(5 mm) = (5 mm)^2
Then the ratio of new area to old area is ...
((1/2)^2·(5 mm)^2)/(5 mm)^2 = (1/2)^2 = 1/4
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When any plane figure has its linear dimensions scaled by a factor of "s", its area will be scaled by a factor of s^2.
Here, s=1/2, and s^2 = 1/4, the ratio of new area to old.
Answer:
Correct
Incorrect
Incorrect
Correct
Step-by-step explanation:
Answer:
The process is 'Squaring 1.4142135'
Step-by-step explanation:
We are given that,
1.4142135 is used repeatedly to approximate 2.
Now, we can see that ,
1.4142135 × 1.4142135 = 1.999999 ≅ 2
Thus, using the number 1.4142135 two times and taking their product approximates the number 2.
Hence, we used the process 'squaring the number 1.4142135' to obtain 2 approximately.
6. 150 degrees
7. 70 degrees
8. 100 degrees
Step-by-step explanation:
I won't be answering all of them because that's a lot, but I'll try and help you on how to do them.
So, factorising means you put the equation into brackets.
The easiest way to work these out would be to look at the pairs of numbers that multiply to make the last number in the equation (so for 2a: 1x2 is the only option, for 2b: 1x4, 2x2, 4x1 for 2c: 1x30, 2x15, 3x10, 5x6 etc)
The next step is to look at the pairs and see which ones could add or subtract to make the number in the middle of the equation
(So for 2a: 1+2=3, 2b: 1+4=5, 2c: 3+10=13)
Then put those numbers into the brackets, with the + or - that you just did
So 2a: (x+1)(x+2)
2b: (m+1)(m+4)
2c: (a+3)(a+10)
etc