Thank you so much, you too.
Answer:
C. 6
Step-by-step explanation:
It is given that the rectangles in the figure are similar.
<em>Thus, the corresponding sides of the two rectangles will be equal.</em>
So, we get,
i.e. 
i.e. 
i.e. 
i.e. x = 6.
Hence, the value of x is 6.
Answer:
The probability of getting gray = no. of gray shades / total
=> 2/7
The probability of getting head when we toss a penny = head / total ( head + tail )
=> 1/2
Answer:
1/ sqrt(1+ln^2(x)) * 1/(ln^2x +1) * 1/x
Step-by-step explanation:
f(x) = sin (tan^-1 (ln(x)))
u substitution
d/du (sin u) * du /dx
cos (u) * du/dx
Let u =(tan^-1 (ln(x))) du/dx =d/dx (tan^-1 (ln(x)))
v substitution
Let v = ln x dv/dx = 1/x
d/dv (tan ^-1 v) dv/dx
1/( v^2+1) * dv/dx
=1/(ln^2x +1) * 1/x
Substituting this back in for du/dx
cos (tan^-1 (ln(x)) * 1/(ln^2x +1) * 1/x
We know that cos (tan^-1 (a)) = 1/ sqrt(1+a^2)
cos (tan^-1 (ln(x)) * 1/(ln^2x +1) * 1/x
1/ sqrt(1+ln^2(x)) * 1/(ln^2x +1) * 1/x
Answer: 33 mph
Step-by-step explanation:
First find out what 40% of 55 is:
= 40% * 55
= 22 mph
This means that the speed reduces by 22 mph inside the city.
The speed inside the city is therefore:
= 55 - 22
= 33 mph
