Answer:
the approximate area of this circle is 200.96 inches long.
Step-by-step explanation:
To answer this problem we need to remember that the area of a circle is given by the formula:
Area = π
where r is the radius.
and the perimeter is:
Perimeter = 2πr
Now, the problem tells us that the circle is enclosed by a piece of rope that's 50.24 inches long. So the perimeter of the circle is 50.24 inches.
Since we have the value of the perimeter and the value of pi, we are going to substitute these values in the perimeter formula to find r.
Perimeter = 2πr
50.24=2(3.14)r
50.24= 6.28r
50.24/6.28= r
8= r
Thus, the radius of the circle is 8 inches long.
Now, we can use this value to find the area of the circle:
Area = π
Area = π
Area = 3.14 (64)
Area = 200.96
Therefore, the approximate area of this circle is 200.96 inches long.
A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. The numbers that are located below -3.5 on a vertical number line are (-∞,-3.5).
<h3>What is a number line?</h3>
A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.
The numbers that are located below -3.5 on a vertical number line are all the numbers that are less than -3.5. The numbers that are located below -3.5 on a vertical number line are (-∞,-3.5).
Learn more about the Number line:
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Answer:
4.
y= 2/3x + 3
Step-by-step explanation:
By using the distributive property on the right side of the equation you get 2/3x + 2. Then you add 1 to the right side to cancel out the (-1) on the left.
Answer:
1: n > -75
2: n < -12
Step-by-step explanation:
1: n/-3 - 8 < 17
n/-3 (- 8 + 8) < 17 + 8
n/-3 < 25
n/-3(-3) < 25(-3)
n < -75
n > -75 (switch symbol when you divide or multiply by a negative number)
2: n/-2 + 11 > 17
n/-2 (+ 11 - 11) > 17 - 11
n/-2 > 6
n/-2(-2) > 6(-2)
n > -12
n < -12 (switch symbol when you divide or multiply by a negative number)
Easy!
Since the greatest multiple of 9 lesser than 79 is 72, you get a remainder of 7
8 7/9