A recipe requires 2 cups of milk for every 1 cups of flour. What is the ratio of cups
1 answer:
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Answer:
Step-by-step explanation:
Given:
Fifth term of a geometric sequence =
Common ratio (r) = ¼
Required:
Formula for the nth term of the geometric sequence
Solution:
Step 1: find the first term of the sequence
Formula for nth term of a geometric sequence = , where:
a = first term
r = common ratio = ¼
Thus, we are given the 5th term to be ¹/16, so n here = 5.
Input all these values into the formula to find a, the first term.
Cross multiply
Divide both sides by 16
Step 2: input the value of a and r to find the nth term formula of the sequence
nth term =
nth term =
Answer:
C) 405.3 ft
Step-by-step explanation:
A triangle is a polygon with three angles and three sides. Types of triangle are scalene, isosceles, equilateral, right angled triangle.
Given a triangle with angles A, B, C and the corresponding sides directly opposite to the angles as a, b, c. The sine rule states that:
In the triangle formed by point C, ship B and ship A, we have ∠A = 82°, ∠B = 78°, c = AB = 140 ft. Hence:
∠A + ∠B + ∠C = 180° (sum of angles in a triangle)
82 + 78 + ∠C = 180
∠C + 160 = 180
∠C = 20°
Using sine rule:
a = distance from Ship B to the signal fire at point C
