The number of red beads are increasing by 2 for each new pattern
The next number of reds will be 12. ( in patern 5)
number of blue beads in pattern 5 will be 15 ( increasing by 3 )
nth term for red = 4 + 2 (n-1) ( its an arithmetic sequence)
nth term for blue = 3 + 3(n - 1) - as above ,arithmetic.
Total beads in pattern 45 is
No. red beads in pattern 26 = 4 + 2(26-1) = 4 + 50 = 54
No blue beads in pattern 60 = 3 + 3(59) = 180
Total number of beads in pattern 45 is:-
4 + 2(44) + 3 + 3(44) = 227
Answer:
∠A = 48°, ∠B = 48°, and ∠C = 84°
Step-by-step explanation:
AB = CB Given
m ∠A = m ∠C If opposite sides are =, then those opposite angles are =
6(x - 3) = 4(x + 1)
6x - 18 = 4x + 4
2x - 18 = 4
2x = 22
x = 11
m ∠A = 6(11 - 3) = 6(8) = 48°
m ∠C = 4(11+ 1) = 4(12) = 48°
The sum of the angles in a triangle = 180°
48° + 48° m ∠B = 180°
96°+ m ∠B = 180°
84° = m ∠B
A^2+b^2=c^2
A=63
B=?
C=87
63^2+b^2=87^2
3969+b^2=7569
-3969 both sides
B^2=3600
Square root both sides
B=60in
Answer:
B
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos45° = 
, then
cos45° = 
= 
= ( cross- multiply )
c = 3
Answer:
5.9987174899
Step-by-step explanation:
9.654km / 1.609344
= 5.9987174899mi
