HELP! Convert these repeating decimals into fractions
2 answers:
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Answer:
The new shape will be cone with a radius of 17 units, tilt height 24 and units of height k.
Step-by-step explanation:
The image related to the exercise is necessary, to be able to solve therefore the attached one.
We have the following information:
Perimeter of the triangle = 58 units
Hypotenuse = 24 units
We have that the other two sides are equal and have x units, therefore we have the following:
x + x + 24 = 58
2 * x = 58-24
2 * x = 34
x = 34/2
x = 17
Now the triangle rotates around line k , and then it will result in a cone, which is a three-dimensional shape.
Therefore, the new shape will be cone with a radius of 17 units, tilt height 24 and units of height k.
We are given equations as
Firstly, we will write in slope intercept form of line
y=mx+b
Subtract both sides by 4x
now, we can divide both sides by a
we can find slope
so, we get
we are given second equation as
Firstly, we will write in slope intercept form of line
y=mx+b
divide both sides by a
we can find slope
we are given both lines are perpendicular
so, the multiplication of their slopes must be -1
we can plug values
now, we can solve for a
Multiply both sides by a
now, we can solve for a
we get
...............Answer