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Snowcat [4.5K]
3 years ago
5

Each cracker in the stack has a diameter of 2 inches. The height of the stack is 7.5 inches. What is the volume of the stack?

Mathematics
1 answer:
otez555 [7]3 years ago
7 0
THe stack forms a cylinder.

Volume = pi r^2 h   

r = 1/2*2 = 1 inch, height = 7.5 inches

Volume of stack =  pi*1^2* 7.5 =  23.56 ins^3  Answer
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Evaluate the expression 2(4-3) in two ways pls help
Morgarella [4.7K]

Answer:

Step-by-step explanation:

Method 1:

First do the operation inside parenthesis

2*(4-3) = 2*1 = 2

Method 2:

Use distributive property: a*(b +c) = a*b + a*c

2*(4-3) = 2*4 - 2*3

           = 8 - 6

            = 2

6 0
3 years ago
Prove that angle W is congruent to angle Y with a two column proof.
iren2701 [21]

Statement 1: WXYZ is a kite

Reason 1: Given

Statement 2: WX = XY and WZ = YZ

Reason 2: Definition of a kite

Statement 3: XZ = XZ

Reason 3: Reflexive property

Statement 4: Triangle WXZ = Triangle YXZ

Reason 4: SSS Congruence

Statement 5: Angle W = Angle Y

Reason 5: CPCTC

-------------------------------------------------------------------------

Extra notes:

* A kite is a quadrilateral that has two pairs of adjacent congruent sides. In this case, WX and XY is one pair of congruent sides that are adjacent (ie next to each other). So that's why WX = XY. Similarly, WZ = YZ is the second pair of adjacent congruent sides.

* Draw in a segment from point X to point Z to help form two triangles. The two triangles are congruent as proven in statement 4. One triangle is a reflection over the line XZ to get the other triangle.

* Due to this reflection, angle W reflects over line XZ to get angle Y. Proving that angle W = angle Y

* SSS means "side side side", basically saying "you use three pairs of congruent sides to prove two triangles congruent".

* The acronym CPCTC stands for "corresponding parts of congruent triangles are congruent"

4 0
3 years ago
Is 7 1/8 grater or less than 7.025
aliina [53]
7 1/8 is greater than 7.025 because if you convert it into a decimal (8 * 7 = 56 + 1 = 57/8 =....) you get 7.125, which is obviously bigger (1>0)
3 0
3 years ago
Read 2 more answers
In baseball, Shintaro had 4 hits in his last 12 times at bat.
ikadub [295]

For this case we can propose a rule of three according to the Shontaro base performance.

4 hits ------------> 12 times at bat

x -------------------> 36 times at bat

Where "x" represents the number of hits he will have the following week, based on his previous performance.

x = \frac {36 * 4} {12}\\x = 12

So, Shintaro will have 12 hits in 36 times at bat

Answer:

Shintaro will have 12 hits in 36 times at bat

OPtion B

3 0
3 years ago
A single die is rolled. How many ways can you roll a number that is prime, followed by a 6?
Grace [21]

Answer:

3 ways

Step-by-step explanation:

Since 6 will remain constant throughout the testing, we just need to find all prime numbers 1-6.

1 - is not prime nor composite

2 - is prime

3 - is prime

4 - 2x2=4, so composite

5 - is prime

6 - 2x3=6, so composite

Therefore, 2, 3, and 5 are prime numbers, and there are 3 of them.

5 0
2 years ago
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