Answer: Irrational number
If the decimal digits repeat forever, then the repeating decimal is considered rational.
For instance, 2/99 = 0.020202020202... where the "02" repeats forever
If we don't have such a pattern, then we cannot write the decimal as a fraction of two integers and the number is not rational. So it is irrational.
Answer:
m∠1=103°
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
An exterior angle of a triangle is equal to the sum of the opposite interior angles
so
In this problem
m∠1=m∠2+m∠3
substitute the given values
m∠1=31°+72°=103°
Answer:
180270
Step-by-step explanation:
Do Pemdas to find order of operations:
(264*675)+ 1239-56+887
So it is:
(178200)+2070
This equals: 180,270
Use cosine rule,
cos(A)=(b^2+c^2-a^2)/(2bc)
=(10^2+12^2-6^2)/(2*10*12)
=13/15
A=29.926 degrees.................................(A)
cos(B)=(c^2+a^2-b^2)/(2ca)
=(12^2+6^2-10^2)/(2*12*6)
=5/9
B=56.251 degrees.................................(B)
cos(C)=(a^2+b^2-c^2)/(2ab)
=(6^2+10^2-12^2)/(2*6*10)
=-1/15
C=93.823 degrees.................................(C)
Check:29.926+56.251+93.823=180.0 degrees....ok
Answer:
DB = 13 cm
Step-by-step explanation:
ΔCAB ≅ ΔDBA by ASA, so CA ≅ DB by CPCTC.
CA = 13 cm, so DB = 13 cm.