<h3>
Answer: 1</h3>
Explanation:
1/3 is the same as 2/6
Imagine cutting a cake into thirds, then cutting each piece in two parts, so you'll have 6 pieces total. If you shade one third of the cake, then this is the same as shading 2/6 of a cake. The diagram shows this below.
Therefore 4/6 + 1/3 is the same as 4/6 + 2/6
At this point, we add the numerators over the common denominator
4/6 + 2/6 = (4+2)/6 = 6/6 = 1
Meaning we get a full cake since 4/6 is four slices and 2/6 is another two slices leading to 4+2 = 6 slices total out of the 6 overall.
Answer:
Step-by-step explanation:
A.
Answer:
The rule of the arithmetic sequence is 13 - 2n
The 30th term is -47
Step-by-step explanation:
∵ f(n) = 11 and g(n) = -2(n - 1) = -2n + 2
∴ f(n) + g(n) = 11 + -2n + 2 = 13 - 2n
Use n = 1 , 2 , 3 , 4 to check the type of the sequence
∵ n = 1 ⇒ 13 - 2(1) = 11
∵ n = 2 ⇒ 13 - 2(2) = 13 - 4 = 9
∵ n = 3 ⇒ 13 - 2(3) = 13 - 6 = 7
∵ n = 4 ⇒ 13 - 2(4) = 13 - 8 = 5
∵ 11 , 9 , 7 , 5 is an arithmetic sequence with difference -2
∴ The rule of the arithmetic sequence is 13 - 2n
∴ The 30th term = 13 - 2(30) = -47
<em><u>Answer</u></em>
c. It divides the radius by 2.
<em>Explanation</em>
The general equation of a circle is
(x-h)² + (y-k)² = r²
Where (h, k) makes the coordinates of the circle and r the radius.
x² + y² = 25 For this equation,
center (0, 0)
Radius = √25 = 5
4x² + 4y² = 25 First simplify this equation
4x² + 4y² = 25 ⇒ x² + y² = 25/4
center (0, 0)
Radius = √(25/4) = 5/2
The radius has been divided by 2
Answer:
A. 5 days after 15 June - June 20
B. 10 days before Independence day - 5 August
C. 7 days before 8 January - 1 January
D. 3 days before Republic day - 23 January
E. 14 days after 16 July - 30 july
F. 20 days after 1 August - 21 August
