Let x=number 1 let y=number2
there sum is equal to 70
then
number1+number2=70
substituting
x+y=70
y=70-x
let there product will be p
p=xy
substituting
p=x(70-x)
which is choice c
Tan ( A - B ) = ( tan A - tan B ) / ( 1 + tan A tan B )
tan A = 3 tan B/2
tan ( A - B ) = ((3 tan B/ 2)-tan B) / ( 1 + 3 tan² B/2)=
= (tan B/2) / ( 2 + 3 sin²B/cos²B )=
= (sin B / cos B) / (( 2cos² B+3sin²B)/cos²B)=
=( sin B cos B ) / ( 2 cos²B + 3 ( 1 - cos² B ) ) =
= (sin B cos B ) / ( 2 cos² B + 3 - 3 cos² B ) =
= ( sin 2 B ) / 2 ( 3 - cos² B ) =
= ( sin 2 B ) / ( 6 - cos² B )=
= ( sin 2 B ) / ( 5 + 1 - 2 cos² B )=
= ( sin 2 B ) / ( 5 + sin² B + cos ² B - 2 cos² B ) =
= ( sin 2 B ) / ( 5 - ( cos² B - sin² B ) ) =
= ( sin 2 B ) / ( 5 - cos 2 B ) - correct
Answer:
D. I and IV
Step-by-step explanation:
"Discrete" means the quantities can only assume specific (usually integer) values. It is contrasted with "continuous," which describes quantities that can assume any value in some range, not necessarily an integer value.*
_____
* quantum physics is ignored in this discussion.
<span>Let,
diameter = segment AB through center P.
Set the compass to the radius PB, at B and draw two little arcs that intersect the circumference of the circle at C and D.
Then Triangle ACD will be an equilateral triangle inscribed in the given circle.
Hence,
The right option is :
</span><span>B. Open his compass to a width equivalent to the radius of the circle.</span>
Subjective, approximate, conditional, dependent, and partial
