Hmmmm to convert from improper to mixed, simply do the division of both, the quotient gets upfront, the remainder as the numerator, for example,
how many times 3 goes into 81? well, 27 times, with a remainder of 0, thus
how many times does 2 go into 29? well 14 times, with a remainder of 1, thus
Answer:
- Cos 45=6/x
x=6/cos 45=6√2
x=6√2
tan 45=y/6
y=tan45 ×6
y=6
2.
sin 60=y/10
y=sin60×10
y=5√3
again
Cos 60=x/10
x=½×10
x=5
3.
Sin 45=x/5
x=1/√2×5 or
x=5√2/2
again
y=5√2/2 or 5/√2[base angle of right angled isosceles triangle]
4.
Sin 30=8/x
½×x=8
x=8*2
x=16
again
cos 30= y/x
√3/2×16=y
y=8√3
5.
sin 60=7/x
x=7/[√3/2]
x=14/√3 or 14√3/3
again
cos 60=y/x
½×14√3/3=y
7√3/2=y
y=7√3/2
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Any number to the power of 0 equals 1. Even if the original number is extremely high like 10000000, the value will still equal 1.
Yes because it is correct
Notice how 1/2 and 3/8 are positive numbers. We add two positive numbers meaning that the result should be larger. However 2/5 = 0.4 is not larger than 1/2 = 0.5
So something went wrong with the adding. It turns out that the error is when the person added the numbers in the denominators (2 and 8 to get 10). This is not allowed. The denominators must be the same and stay the same in order for the fractions to be added.
For example: 1/7 + 2/7 = (1+2)/7 = 3/7
The 7s in the denominator do not change
Therefore the answer is choice B) Not true because 2/5 < 1/2
