1. 259
2. 80
3. 5316
4. 5
5. 2524
Answer:
Step-by-step explanation:
Identities : -
cot = cos / sin
tan = sin / cos
( cot + tan ) sin = sec
LHS
= ( cot + tan ) sin
= ( ( cos / sin ) + ( sin / cos ) ) sin
= ( ( cos sin ) / sin ) + ( sin² / cos )
= cos + ( sin² / cos )
LCM = cos
= ( cos² / cos ) + ( sin² / cos )
= ( cos² + sin² ) / cos
Identity : -
cos² + sin² = 1
= 1 / cos
= sec
= RHS
Hence proved.
Answer:
Laura and Rob are correct
Step-by-step explanation:
we have
39/50
1) Rob said he could divide the numerator by the denominator
so
using a calculator
39/50=0.78
Rob is correct
2) Laura said she could write an equivalent fraction with 100 as the denominator to converted into a decimal
so
Multiply by 2/2
(39/50)*(2/2)=78/100=0.78
Laura is correct
therefore
Laura and Rob are correct
$=(a^2-10a)-(b^2+6b) +16$
$=[(a^2-2(5)a+25)-25]-[(b^2+2(3)b+9)-9]+16$
$=(a-5)^2-25-(b+3)^2+9+16$
$=(a-5)^2-(b+3)^2$
