Explanation:
The circumference and the are of a circle with radius r
are:
If we use pi = 3.14 and the radius is 9m:
Answers:
• Area: ,254.34 m²
,
• Circumference: ,56.52 m
In a statistical test, the null hypothesis to be made is
that the sample proportions do not have any significant differences, which
means an equal distribution. This is only rejected when the estimate is equal
or less than 0.95. But since in this case it is >0.95, so therefore the null
hypothesis is not rejected. Therefore:
<span>False</span>
9514 1404 393
Answer:
- reflection across the x- and y-axes (in either order)
- reflection across the origin
Step-by-step explanation:
Rotation of a figure by 180° about the origin puts each of its points on the opposite side of the origin. That can be accomplished also by either of ...
- reflection across the origin
- reflection across the x- and y-axes, in either order
Answer:
The recursive formula is aₙ=aₙ₋₁ -12
Step-by-step explanation:
Recursion is a process in which each step of a pattern depends on the step or the previous steps. So a recursive sequence is a sequence where terms are defined using one or more previous terms that are given.
So a recursive formula allows you to find any term in an arithmetic sequence using a function of the previous term, where each term is the sum of the previous term and the common difference.
So, in this case you can see the common difference of all the terms by doing the following calculations between a term and its previous value:
-13-(-1)=-13+1=-12
-25-(-13)=-25+13=-12
-37-(-25)=-37+25=-12
The common difference is -12
So, <u><em>the recursive formula is aₙ=aₙ₋₁ -12 where each term is the same
to the previous term minus 12.</em></u>
<h2>
The greatest possible value of the second root, β = 54 </h2>
Step-by-step explanation:
The given quadratic equation:
Let α and β be the roots of the given quadratic equation.
α = 36
To find, the greatest possible value of the second root ( β) = ?
∴ The sum of the roots,
α + β = 
⇒ 36 + β = 
⇒ 5m = 36 + β ............. (1)
The product of the roots,
α.β = 
⇒ 
⇒ 
............. (2)
From equations (1) and (2), we get
⇒ 
⇒ 
⇒ 
⇒ β(β - 54) - 24(β - 54) = 0
⇒ (β - 54)(β - 24) = 0
⇒ β - 54 = 0 or, β - 24 = 0
⇒ β = 54 or, β = 24
∴ The greatest possible value of the second root, β = 54
