The contrapositive statement are:
- If the lake is frozen, then it isn't cold.
- If Solomon is happy, then he isn't healthy.
- If Tigist does not take a walk, then it will not rain
<h3>What is the
converse statement?</h3>
The converse statement are:
- If the late is frozen, then it is cold.
- If Solomon is happy, then he is healthy.
- If Tigist Tigist does not take a walk, then it will rain.
Note that the converse of a statement is created by the act of switching the hypothesis given and also the conclusion.
Therefore, The contrapositive statement are
- If the lake is frozen, then it isn't cold.
- If Solomon is happy, then he isn't healthy.
- If Tigist does not take a walk, then it will not rain
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The total length of the circle is calculated by the following formula:
Lenght = 2.π.r
As r = 4c
Then,
Lenght = 2.π.4
Lenght = 8π centimetrs
Now use the rule of 3
But we have to know:
...<..> ...
Then,
8π ________ 2π <= 360°
x ________ 3π
2π . x = 8π . 3π
x = (8π . 3π) / 2π
x = (8 . 3π)/ 2
x = 12π centimenters
x ~ 37,69 c
First mug holds the most
<em><u>Solution:</u></em>
Given that,
You are choosing between two mugs
<em><u>The volume of cylinder is given as:</u></em>
Where,
r is the radius and h is the height
<em><u>One has a base that is 5.5 inches in diameter and a height of 3 inches</u></em>
Therefore,
Also, h = 3 inches
<em><u>Thus volume of cylinder is given as:</u></em>
Thus first mug holds 71.24 cubic inches
<em><u>The other has a base of 4.5 inches in diameter and a height of 4 inches</u></em>
h = 4 inches
Therefore,
Thus the second mug holds 63.585 cubic inches
On comparing, volume of both mugs,
Volume of first mug > volume of second mug
First mug holds the most
Answer:
x=1
Step-by-step explanation:
Answer:
-6i
Step-by-step explanation:
Complex roots always come in pairs, and those pairs are made up of a positive and a negative version. If 6i is a root, then its negative value, -6i, is also a root.
If you want to know the reasoning, it's along these lines: to even get a complex/imaginary root, we take the square root of a negative value. When you take the square root of any value, your answer is always "plus or minus" whatever the value is. The same thing holds for complex roots. In this case, the polynomial function likely factored to f(x) = (x+8)(x-1)(x^2+36). To solve that equation, you set every factor equal to zero and solve for the x's.
x + 8 = 0
x = -8
x - 1 = 0
x = 1
x^2 + 36 = 0
x^2 = -36 ... take the square root of both sides to get x alone
x = √-36 ... square root of an imaginary number produces the usual square root and an "i"
x = ±6i
