The inequalities would have an open circle when graphed are as follows;
The inequality shows that it does not contain boundary point 5.
![\rm x>5.4](https://tex.z-dn.net/?f=%5Crm%20x%3E5.4)
The inequality shows that it does not contain the boundary point 1/2.
![\rm \dfrac{1}{2}>x](https://tex.z-dn.net/?f=%5Crm%20%5Cdfrac%7B1%7D%7B2%7D%3Ex)
The inequality shows that it does not contain the boundary point 0.
![\rm x>0](https://tex.z-dn.net/?f=%5Crm%20x%3E0)
<h3>What is a circle?</h3>
A round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center):
The graph will have an open circle only if it has the symbol < or > because it indicates that the boundary is not included.
- The inequality shows that it does not contain boundary point 5.
![\rm x>5.4](https://tex.z-dn.net/?f=%5Crm%20x%3E5.4)
- The inequality shows that it does not contain the boundary point 1/2.
![\rm \dfrac{1}{2}>x](https://tex.z-dn.net/?f=%5Crm%20%5Cdfrac%7B1%7D%7B2%7D%3Ex)
- The inequality shows that it does not contain the boundary point 0.
![\rm x>0](https://tex.z-dn.net/?f=%5Crm%20x%3E0)
To know more about circles click the link given below.
brainly.com/question/11833983
Answer:
the length of DB is 17 in
Step-by-step explanation:
Consider the sketch attached.
We will draw an imaginary line from point C to met line AB at point E.
A right-angled triangle will now be formed between points CBE.
The dimensions of the right-angled triangle will be:
CB = 10 in
CE= 8 in
EB = unknown
We will now proceed to find out the length of side EB using the Pythagoras' theorem.
![EB =\sqrt{CB^2 -CE^2} \\EB =\sqrt{10^2 -8^2} \\EB = 6 in](https://tex.z-dn.net/?f=EB%20%3D%5Csqrt%7BCB%5E2%20-CE%5E2%7D%20%5C%5CEB%20%3D%5Csqrt%7B10%5E2%20-8%5E2%7D%20%5C%5CEB%20%3D%206%20in)
From the shape, we can find out that another right-angled triangle is made between points DAB.
The dimensions of the triangle are:
DA= 8in
AB = 9 in + 6 in = 15 in
DB = unknown.
We will now proceed to find out the length of side DB using the Pythagoras' theorem.
![DB =\sqrt{AD^2 +AB^2} \\DB =\sqrt{8^2 +15^2} \\DB = 17 in](https://tex.z-dn.net/?f=DB%20%3D%5Csqrt%7BAD%5E2%20%2BAB%5E2%7D%20%5C%5CDB%20%3D%5Csqrt%7B8%5E2%20%2B15%5E2%7D%20%5C%5CDB%20%3D%2017%20in)
Therefore, the length of DB is 17 in
Answer: Each friend got 3 cookies.
Step-by-step explanation:
Johann gets three cookies so 24-3=21. Divide it by the seven friends that came. 21/7=3 cookies.
Well to find the GCF you need to multiply the numbers that they give you until you find a number that they all have in common. Then for the LCM you do almost the same thing expect your looking for the least common multiple.
(57-32)➗5.5 =x
The problem is just flipped.