Considering High School level question, answer can be written as:
A system of 2 linear equations is [two] dimensional. It is a graph of [two] lines. The solutions can be [unique] solution if the graph intersects. [No] solution if the lines are parallel - meaning they have the same slope, or [Infinitely many] solutions if they are the same line.
Explanation:
when two lines are drawn on a two-dimensional plane then there are only three possible cases:
Case1: lines will intersect
In that case you will get a unique solution at the intersection point.
Case2: lines are parallel but don't touch each other
In that case there will be no point which lies on both lines so No solution.
Case3: lines are overlapping.
In that case all the points lies on both lines so infinitely many solutions.
Answer:
The volume of the cylinder is <u>141.23 cubic feet </u>
Step by step explanation :
<u>Given</u>-
- Radius of cylinder = 3 feet
- Height of cylinder = 5 feet
Now, we know that
<h3>
![\boxed {\mathfrak \red{ volume \: of \: cylinder = \pi {r}^{2} h}}](https://tex.z-dn.net/?f=%20%5Cboxed%20%7B%5Cmathfrak%20%5Cred%7B%20volume%20%5C%3A%20of%20%5C%3A%20cylinder%20%3D%20%5Cpi%20%7Br%7D%5E%7B2%7D%20h%7D%7D)
</h3>
where, r is the radius of the cylinder & h is the height of the cylinder.
Now,
Volume of the cylinder = ![\frac{22}{7} \times {3}^{2} \times 5](https://tex.z-dn.net/?f=%20%5Cfrac%7B22%7D%7B7%7D%20%20%5Ctimes%20%20%7B3%7D%5E%7B2%7D%20%20%5Ctimes%205)
![= \frac{22}{7} \times 3 \times 3 \times 5](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B22%7D%7B7%7D%20%20%5Ctimes%203%20%5Ctimes%203%20%5Ctimes%205)
<h3>
![= \frac{990}{7}](https://tex.z-dn.net/?f=%20%3D%20%20%20%5Cfrac%7B990%7D%7B7%7D%20)
</h3>
( approximately )
![= \boxed{ 141.43 \: \mathfrak { {ft}^{3}} }](https://tex.z-dn.net/?f=%20%3D%20%20%5Cboxed%7B%20141.43%20%5C%3A%20%20%5Cmathfrak%20%7B%20%7Bft%7D%5E%7B3%7D%7D%20%7D)
X+(x+18)=$56
56-18=38
38/2=19
She spent $19 on accessories
19+18= $37 on clothes
$37+$19=$56
This question has to do with making an approximation based on the diagram of the angle. Angle KLM is an obtuse angle meaning it is larger then 90° but is also less than 180°. The only choices that lie within this range are choices B and D. However, it is safe to assume that angle KLM is closer to 180° than to 90° based on the diagram, therefore the answer must be choice B.
I hope this helps.