14 feet is larger because 1 yard is 3 feet. so 4*3=12 ft, and 12ft is less than 14 ft
A. The circumference of the circle:
C = 2 π r = 2 * 3.14 * 8 = 50.24 cm
B. The area of the circle:
A = π r² = 3.14 * 8² = 200.96 cm²
C. The area of the square:
Let's calculate first the side of the square. It is equal to 2r = 2*8=16 cm
The area of the square is:
16*16 = 256 cm²
Hope that helps.
Answer:
P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Step-by-step explanation:
Let P(n) be the proposition that 2n-1 ≤ n!. for n ≥ 3
Basis: P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Inductive Step: Assume P(k) holds, i.e., 2k - 1 ≤ k! for an arbitrary integer k ≥ 3. To show that P(k + 1) holds:
2(k+1) - 1 = 2k + 2 - 1
≤ 2 + k! (by the inductive hypothesis)
= (k + 1)! Therefore,2n-1 ≤ n! holds, for every integer n ≥ 3.
Answer:
Step-by-step explanation:
hello :
X + 1/4x = 15
multiply by 4 : 4x+x = 60
5x=60
now divid by 5 you have : x=12
Answer:
5)i. 7/1
ii. -8/1
iii. 2/1
iv. 9/1
v.0/1
5)i.4
ii.-5
iii. -7
iv. 3
v. 5
Step-by-step explanation:
interger/1 = rational number (anyt that can be expressed as a fraction)
