Answer:
<h2>an+1 = 2×7ⁿ</h2>
Step-by-step explanation:
98÷14
=7
686÷98
=7
4 802÷686
=7
33 614÷4 802
=7
Then the common ratio q for this sequence is 7
recursive formula : an+1 = q×an = ?
an= a1 × qⁿ⁻¹
=2×7ⁿ⁻¹
an+1 = q×an
= 7×(2×7ⁿ⁻¹)
= 2×7ⁿ
Answer:
<h2>A = 36π yd² ≈ 113.04 yd²</h2><h2>C = 12π yd ≈ 37.68 yd</h2>
Step-by-step explanation:
The formula of an area of a circle:
The formula of a circumference of a circle:
<em>r</em><em> - radius</em>
<em />
We have <em>r = 6yd</em>.
Substitute:
If you want round the answers, then use <em>π ≈ 3.14</em>
Answer:
14.76 cm
Step-by-step explanation:
Use the pythagorean theorem:
a² + b² = c²
Plug in the side lengths and solve for c:
7² + 13² = c²
49 + 169 = c²
218 = c²
14.76 = c
So, the hypotenuse is approximately 14.76 cm
Answer:
Drinks = 6.75
Popcorn= 1
Step-by-step explanation:
Let the popcorn = P
Let the drink = D
2*P + 3*D = 22.25 multiply this equation by 6
12*P + 4D = 39.00
<u>12P + 18D = 133.5</u> Subtract these two equations
- 14D = - 94.50 Divide by -14
-14D/-14 = -94.5/-14 Do the division
D = 6.75
=========================
12P + 4D = 39 Substitute for D
12P + 4*6.75 = 39 Combine
12P + 27 = 39 Subtract 27 from both sides
12P + 27-27=39-27 Collect like terms
12P = 12 Divide by 12
12P/12 = 12/12
P = 1 Answer
The answer is B because those triangles are congruent
