Answer:

Step-by-step explanation:
Given that 9213x5 is a multiple of 9 and we need to find out the value of x .So the rule for divisibility for 9 is :-
<u>Test </u><u>for </u><u>Divisibility</u><u> </u><u>by </u><u>9</u><u> </u><u>:</u><u>-</u>
A number is divisible by 9 if the sum of the digits is divisible by 9 .
Here the sum of the digits is :-
Now here to make 20 +x divisible by 9 is should be equal to 27 since 27 is the nearest smallest multiple of 9 .
ANSWER:
Let t = logtan[x/2]
⇒dt = 1/ tan[x/2] * sec² x/2 × ½ dx
⇒dt = 1/2 cos² x/2 × cot x/2dx
⇒dt = 1/2 * 1/ cos² x/2 × cosx/2 / sin x/2 dx
⇒dt = 1/2 cosx/2 / sin x/2 dx
⇒dt = 1/sinxdx
⇒dt = cosecxdx
Putting it in the integration we get,
∫cosecx / log tan(x/2)dx
= ∫dt/t
= log∣t∣+c
= log∣logtan x/2∣+c where t = logtan x/2
Answer
I believe its 2 and 3
Step-by-step explanation:
Answer:
Both Tom and Jerry will apart 176 miles in 2 hours .
Step-by-step explanation:
Given as:
Tom and Jerry moves in opposite direction
The speed of Tom = 38 mph
The speed of Jerry = 50 mph
Let The distance cover by Tom = x mile
The distance cover by Tom = ( 176 - x ) miles
Time taken by both are same = T hour

Or, Time taken by Tom
T =
... 1
∴ x = 38 T
And Time taken by Jerry

Or, T =
So , put the value of T from 1
=
Or, 50 × x = ( 176 - x ) × 38
So 50 x + 38 x = 6688
Or, 88 x = 6688
∴ x =
= 76 mile
So, From, eq 1
T =
or, T =
= 2 hours
Hence both Tom and Jerry will apart 176 miles in 2 hours . Answer