Answer:
numbers are 24 and 210
Step-by-step explanation:
the number are : 24(2x2x2x3) and 210 (3x2x5x7)
GCF of 24 and 210 is 6
LCM of 24 and 210 is 840
The first question:
'is' in mathematics means equal
'of' in mathematics means multiplication
56% of 25 is 14.
And the second question:
'is' in mathematics means equal
'of' in mathematics means multiplication
55% of 20 is 11<span>.</span>
Answer:
they are equal
Step-by-step explanation:
1/4 is equal to the absolute value of -1/4
Answer:
- 12 /13
Step-by-step explanation:
Given that:
Cot(θ) = 5 /12 ;
Recall ; cot θ = 1 / tan θ ; tan θ = sin θ / cos θ
Hence ;
tan θ = 1 / cot θ
tan θ = 1 ÷ (5 / 12)
tan θ = 1 * 12 /5 = 12/5
Tan θ = opposite / Adjacent = 12 /5
Sin θ = opposite / hypotenus
Hypotenus = √(opposite² + adjacent²)
Hypotenus = √12² + 5²
Hypotenus = √(144 + 25)
Hypotenus = √169
Hypotenus = 13
Hence,
Sin θ = opposite / hypotenus = 12 / 13
pi < theta < 3pi/2 lies in the 3rd quadrant ; SinΘ will be negative ;
Sin θ = - 12 /13
AC is the adjacent leg to angle A, so use cosine to find out AC
cosA=AC/AB
AC=AB*cosA
AC=14*cos33
use your calculator to find AC≈11.7