(I)
firstly , we will find maximum and minimum y-value
we can see that
maximum value is 5
minimum value is -5
so, we can find amplitude
..........Answer
(II)
we know that
wave length is the length of one wave
we can see that from B to F , there is one wave
and we are given it's length as 20cm
so, wavelength is 20cm......Answer
(III)
we know that
we are given
frequency =100hz
wavelength =20cm
now, we can find velocity
............Answer
Step-by-step explanation:
Let its complementary angle be x.
So
81+x=90
so, x = 9.
so
complementary angle of 81° is 9°.
Answer:
f(5) = -1
f(3) = -4
Step-by-step explanation:
As 5 is greater than three, we use the lower result and get -1
As 3 is equal to 3 we use the upper result -2(3) + 2 = -6 + 2 = - 4
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Answer:
18
Step-by-step explanation:
90 = 18·5
126 = 18·7
180 = 18·10
990 = 18·55
The greatest common factor of these numbers is 18.
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<em>Comment on the GCF</em>
It can be useful to know Euclid's algorithm for finding the GCF:
- Determine the remainder from dividing the larger number by the smaller.
- If the remainder is zero, the smaller number is the GCF. If the remainder is non-zero, use it to replace the larger number and repeat from step 1.
For example, 126 mod 90 = 36; 90 mod 36 = 18; 36 mod 18 = 0, so 18 is the GCF of 126 and 90. (The modulo function 'mod' returns the remainder from division.)
Step-by-step explanation:
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