First, I would create a number line that includes the number -4 to 4, with 1/4 notches (3 notches between each number).
For 3, I would count 3 numbers to the right from zero.
For 2.25, I would count 2 numbers from zero, plus one additional notch to the right. Remember that each notch represents 1/4, or 0.25.
For the opposite of 4, I would count 4 to the left to -4. The opposite of 4 is -4.
For -(-1 1/2), I would remember that this number is actually 1 1/2, since a negative times a negative number is positive. I would count one number to the right of zero, plus two notches.
Answer:
The area of the circle is A = 12.56 m²
Step-by-step explanation:
* Lets explain how to solve the problem
- The area of any circle is A = π r² , where r is the radius of the circle
- In any circle the length of the radius is half the length of its diameter
* Lets solve the problem
- The diameter of the circle is 4 meters
∵ The radius of the circle = 1/2 diameter
∵ The diameter = 4 meters
∴ The radius = 1/2 × 4 = 2 meters
- The area of the circle is A = π r²
∵ The value of π = 3.14
∵ The length of r = 2 meters
- Substitute the value of r in the rule of the area
∵ A = π r²
∴ A = 3.14 × (2)²
∴ A = 3.14 × 4 = 12.56 meters²
* The area of the circle is A = 12.56 m²
Answer:
A. 3x+14≥ 2 or 1-x ≥-5
Step-by-step explanation:
the solutions should be x≥ -4 or x ≤6
and the right answer is :
3x + 14≥ 2
3x ≥ -12
x≥ -4
1-x ≥ -5
-x ≥ -6
x ≤ 6
A. 3x+14≥ 2 or 1-x ≥-5
Answer:
The appropriate null hypothesis is 
The appropriate alternative hypothesis is 
Step-by-step explanation:
Exactly a year prior to this poll, in June of 2004, it was estimated that roughly 1 out of every 4 U.S. adults believed (at that time) that the war in Iraq was the most important problem facing the country.
At the null hypothesis, we test if the proportion is still the same, that is, of 
. So
We would like to test whether the 2005 poll provides significant evidence that the proportion of U.S. adults who believe that the war in Iraq is the most important problem facing the U.S. has decreased since the prior poll.
Decreased, so at the alternative hypothesis, it is tested if the proportion is less than 0.25, that is:
Answer:
114.29 ft
Step-by-step explanation:
tan ∅ = Opp/Adj
tan 77 = x/25
x = 25 tan 77
x = 108.29ft
Plus 6ft = 114.29 ft
