Answer:
284/3 πx³
Step-by-step explanation:
Volume of a cylinder is expressed as shown:
V = πr²h
r is the radius of the cylinder
r = diameter/2
r = 8x/2
r = 4x
Height of the cylinder = 6x
Volume of the roll with out the hole
V = π(4x)²(6x)
V = 16x²π(6x)
V = 96πx³
The hole in the middle will be a solid sphere with diameter 2x (radius will be x)
Volume of the hole = 4/3πr³
Volume if the hole = 4/3πx³
Volume of the toilet paper roll = volume of the roll without a hole - volume of the hole
= 96πx³ - 4/3πx³
= (96-4/3)πx³
= 284/3 πx³
The next two numbers should be -8, -2
I dont understand the question
Using transformations and congruency concepts, it is found that with these following transformations, the triangles will be congruent.
- A reflection, then a translation.
-
A rotation, then a reflection.
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- Two triangles are congruent if they have the <u>same lengths</u> of the sides and the <u>same angles.</u>
- In a reflection, there is a rule that changes the <u>coordinates (x,y)</u>, but does <u>not </u>change <u>the lengths</u> of the sides of the triangles, thus they will still be congruent.
- A <u>reflection is also a special case of rotation</u>, thus, in a rotation, the triangles are also congruent.
- A translation is also similar to a reflection, using rules to shift the triangle up, down, left or right according to it's coordinates, not changing the sides or angles, thus congruent.
- In a dilation, the <u>lengths of the sides are changed</u>, thus, the triangles will not be congruent.
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Thus, from the bullet points above, the correct options are:
- A reflection, then a translation.
- A rotation, then a reflection.
A similar problem is given at brainly.com/question/24267298
Answer: 2/6
Step-by-step explanation:
There’s only 2 numbers greater than 4 on a die, so two would be the numerator and the denominator would be the number of possibilities you could roll, which is 1-6.
