Step-by-step explanation:
Initially, there's only 1 letter.
Tania sends the letter to 4 friends.
Each friend sends a letter to 4 more friends (4 × 4 = 16).
Each of those friends sends to 4 more friends (16 × 4 = 64).
The pattern is 1, 4, 16, 64, etc.
This is a geometric sequence. The first term is 1 and each term is 4 times the previous term.
a₁ = 1
aₙ = 4 aₙ₋₁
The explicit formula is:
aₙ = 1 (4)ⁿ⁻¹
Answer:
47 13/21
Step-by-step explanation:
Given
11 1/9 x 4 2/7
First change the fractions to improper fractions.
We have ,
100/9 x 30/7
Multiply through
3000/63
Divide the numerator and denominator by 3
1000/21
47 13/21
120:200 prefer bananas, 80:200 prefer apples
Answer:
1) 180 is a straight line, so 180 - 118 = <em>62</em>
2) 180 degrees are in a triangle, so 180 - (62) - 73 = <em>45</em>
3) 180 is a straight line, so 180 - 73 = 107. There are 180 degrees in a triangle, so 180 - 49 - 45 = <em>86</em>
Sin 45° = opposite side / hypotenuse
1/2 = 8/h
h = 16
2)6/12 = 1/2
1/2 = sin 45°
6√3/12 = √3/2
√3/2 = cos 30°
Sum of angles of triangle = 180°
The 3rd angle = 180 - (45 + 30) = 180 - 75 = 105°
Angles = 30° , 45° , 105°
