Answer:
see below
Step-by-step explanation:
The ratio of terms that are two terms apart (s4 and s6) is the square of the common ratio:
s6/s4 = r^2
r = √(8/18)
r = 2/3 . . . . . matches choices A and C
__
Using the formula for the general term, we now know enough to find the first term:
sn = s1·r^(n-1)
s4 = s1·(2/3)^(4-1)
Using s4 = 18 and multiplying by (2/3)^-3, we get ...
18·(2/3)^-3 = s1 = 18·27/8
s1 = 243/4 . . . . . matches choice A
Answer:
528 cm²
Step-by-step explanation:
The surface area of this prism comprises:
- 2 congruent triangles (the bases of the prism)
- 2 congruent rectangles (rectangle 1 and 2) - since the triangle has 2 sides of equal length
- 1 rectangle (rectangle 3)
Area of a triangle = 1/2 × base × height
= 1/2 × 16 × 6
= 48 cm²
Area of rectangle 1 / 2 = width × length
= 10 × 12
= 120 cm²
Area of rectangle 3 = width × length
= 16 × 12
= 192 cm²
Total Surface Area = 2 triangles + 2 rectangles + rectangle 3
= (2 × 48) + (2 × 120) + 192
= 96 + 240 + 192
= 528 cm²
Answer:
Too much
Step-by-step explanation:
I did the math myself
Answer: 1 /12 pounds each
Step-by-step explanation:
Alexis has a 5/12 pound bag of apples and 5 friends to divide them amongst.
The number of pounds each friend receives is the number of pounds Alexis has divided by the number of friends she has:
= 5/12 ÷ 5
= 5/12 * 1/5
= 5 / 60
Take the fraction to the lowest form by dividing by 5:
= 1 / 12
<em>Hint: When dividing a fraction by a number, you can instead multiply that fraction by the inverse of that number. </em>
