The volume of a cylinder is 5070 pi cm3. If the height is 30 cm, what is the radius?
1 answer:
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<h2>Answer:</h2>
Shown below
<h2>Step-by-step explanation:</h2>First of all, we have the following points:
To plot these points, we need to graph a coordinate grid. Recall that a coordinate grid is composed of two perpendicular lines, that we call the axes and are labeled like number lines. The horizontal axis is called the x-axis while the vertical axis is called the y-axis, and these two axes intersect at a point called the origin. Next, let's plot each point as follows:
<h2>PART 1. Plot the points on your own coordinates grid and connect in alphabetical order. </h2><h2></h2>
Point a:
Let's stand at the origin and then move three units to the left and three units up. The resulting point is shown in the firs figure below.
Point b:
Let's stand at the origin and then move two units to the right and three units up. The resulting point is shown in the firs figure below.
Point c:
Let's stand at the origin and then move five units to the right and two units down. The resulting point is shown in the firs figure below.
Point d:
Let's stand at the origin and then move three units to down. The resulting point is shown in the firs figure below.
Point e:
Let's stand at the origin and then move three units to the left and two units down. The resulting point is shown in the firs figure below.
Next, let's connect connect the points in alphabetical order, so that the line are connected from a to b, from b to c, from c to d, from d to e and from e to a again. So the resulting graph is shown in the second figure. As you can see, this is an irregular pentagon.
<h2>PART 2. Decompose figure ABCDE into rectangles and triangles.</h2>Every pentagon can be divided up into three triangles. Hence, from the third figure. the triangles are:
ΔABE
ΔBDE
ΔBCD
Since a rectangle is a quadrilateral whose angles are all right angles, then there is no chance to obtain a rectangle from ABCDE. To obtain a rectangle, we'd need other points and this is not what the problem asks.
Answer: The answer is the picture shown below
Step-by-step explanation:
To do this you will need to make a coordinate plane about 20 up and 20 down. So there is a formula that is y=mx+b which is called the slope intercept form and as you can see the problem given to you was already given in this formula. The variable m in the equation is the slope and slope is also known as rise (which basically means go up if positive and down if negative) over run (which is right if positive and left if negative) and as you can see in the equation the number 4/5 is the variable m. Since slope is rise over run 4 would be the rise and 5 would be the run, so you would go up 4 and right 5 because they are both positive. Now there is another variable that is b which would be the -1. In slope intercept formula b is the y intercept so -1 is where the line would cross the y axis. Now that you know all the parts to the slope you can put it together giving you the answer.
