The sum of the terms of a geometric sequence with common ratio lesser than 1 is calculated through the equation,
Sn = (a1) x (1 - r^n) / (1 - r)
Substituting the known values,
S5 = (6) x (1 - (1/3)^5) / (1 - 1/3) = 242/27
Thus, the sum of the first five terms is approximately equal to 8.96.
She can make 3 since theres only 3 mascaras? and for each makeup kit she can add two eyeshadows and one mascara
Answer:
∠A and ∠G is the pair of vertical angles.
Step-by-step explanation:
From the figure attached,
Two lines 'm' and 'n' are two parallel lines. These lines intersect a horizontal line 'l'.
Since, "Pair of opposite angles formed at the point of intersection are the vertical angles and equal in measure."
Therefore, Opposite angles ∠A ≅ ∠G, ∠B ≅ ∠H, ∠C ≅ ∠E and ∠D ∠F are the vertical angles.
From the given options,
∠A and ∠G is the pair representing the pair of vertical angles and thus congruent.
Answer:
The single decimal multiplier used to increase by 18% followed by a 12% decrease is 0.21.
Step-by-step explanation:
Let 'x' be the number
As first the number has to be increased by 18%
so
Step 1: write the percentage '18%' in decimal form
18% = 0.18
Step 2: For percentage increases: add the decimal to 1
1 + 0.18 = 1.18
Step 3: Multiply the number x by the multiplier, found in Step 2
x × 1.18 = 1.18x
<u><em>NEXT WE HAVE TO DECREASE 1.18x by 12%</em></u>
Apply the same method but with a number 1.18x
- Write the percentage '12%' in decimal form
12% = 0.12
- For percentage decreases: subtract the decimal to 1
1 - 0.18 = 0.18
- Multiply the number 1.18x by the multiplier, found in Previous step
1.18x × 0.18 = 0.21x
Therefore, the single decimal multiplier used to increase by 18% followed by a 12% decrease is 0.21.
Answer:
Step-by-step explanation:
1) Flip the second fraction and change the operation to multiplication:
2) Cross cancel factors:
3) Multiply:
4) Simplify:
