Liz wants to find the quotient of 63 and 0.15. what is the first step she should take?
Answer:
→(Well First 63 ÷ 0.15 = 420) ←
A: divide 63 and 0.15 by 10 Would be my Answer
To add two decimal numbers, first check if they have the same number of digits to the right of the decimal point. If they don't, add zeros to the right of one of the numbers until they do. Then, write one number on top of the other, lining up the decimal points vertically.
A) You can drop hammer and a feather, both will reach ground at the same time ( it was actually done in Apollo mission)
b) i. Yes, it is similar to weightlessness experienced by astronauts
ii. The phenomenon of "weightlessness" occurs when there is no force of support on your body. When your body is effectively in "free fall" in roller coaster, accelerating downward at the acceleration of gravity, then you are not being supported.
Just like astronauts in space feel no force of support that we on earth feel due to gravity.
I'm only going to alter the left hand side. The right side will stay the same the entire time
I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)
So with that in mind, this is how the steps would look:
tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
(0+cos(x))/(-sin(x)-0) = -cot x
(cos(x))/(-sin(x)) = -cot x
-cot x = -cot x
Identity is confirmed
To find the average rate of change, evaluate the function at the given points.
Evaluate the difference of the function at the given points.
Divide the difference of the function at the given points with the difference of the given points.
To answer this we will add, but before we add we will change 4/5 in to a decimal. to change ANY fraction into a decimal we have to divide the numerator by the denominator. lets do it:-
4/5
4 ÷ 5 = 0.8
Now lets substitute 0.8 for 4/5 and then add.
4/5 + 0.05
0.8 + 0.05 = 0.85
CHECK OUR WORK:-
0.85 - 0.8 = 0.05
We were RIGHT!!
So, the decimal 0.85 is equivalent to 4/5 + 0.05.
Hope I helped ya!! xD
