Answer:
4⋅(a⋅2)
2⋅(4⋅a)
8a
Step-by-step explanation:
(4⋅a)⋅2
4⋅(a⋅2) This is the same by the associative property of multiplication
2⋅(4⋅a) This is the same by the associative property of multiplication and the communicative property of multiplication
4⋅2⋅a⋅2 This brings in an extra 2 so it is not the same.
8a 4*2 = 8 so this is the same
4⋅2+a⋅2 This is the not the same 8+2a is not the same as 8a
Answer:
you dint put up the pictures so not sure
Step-by-step explanation:
Answer:
91
Step-by-step explanation:
Let
x = first number
x+1 = second number
x+2 = third number
x+3 = fourth number
Total = 182
x + x + 1 + x + 2 + x + 3 = 182
4x + 6 = 182
Subtract 6 from both sides
4x + 6 - 6 = 182 - 6
4x = 176
Divide both sides by 4
x = 176 / 4
= 44
x = 44
x = 44
x+1 = 44 + 1 = 45
x+2 = 44 + 2 = 46
x+3 = 44 + 3 = 47
Sum of the two middle numbers = 45 + 46
= 91
The answers that would fill in the blanks are
- 2r
- a circle
- an annulus
- 1/3πr³
- 4/3πr³
<h3>What is the Cavalier's principle?</h3>
This principle states that if two solids are of equal altitude then the sections that the planes would make would have to be parallel and also be at the same distances from their bases which are equal such that the volumes of the solids would be equal.
Now we have to fill in the blanks with the solution.
For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius r and height<u> 2r</u> minus the volume of two cones, each with a radius and height of r. A cross section of the sphere is a <u>circle</u> base of cylinder, is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is an <u>annulus_ </u>.The volume of the cylinder with radius r and height 2r is 2πr³, and the volume of each cone with radius r and height r is 1/3πr³. So the volume of the cylinder minus the two cones is 4/3πr³. Therefore, the volume of the sphere is by Cavalieri's principle
Read more on Cavalieri's principle here
brainly.com/question/22431955
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Answer: 0.790
Step-by-step explanation:
Given : The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level.
The sample size : n= 2004
The number of students read above the eighth grade level = 1584
Then , the proportion of students read above the eighth grade level is given by :-
Hence, the estimate proportion of tenth graders reading at or below the eighth grade level =0.790
