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irakobra [83]
3 years ago
8

How can a triangular prism have a greater volume than a rectangular prism?

Mathematics
1 answer:
son4ous [18]3 years ago
3 0

Answer:

Step-by-step explanation:

Assume that the two prisms have bases of equal area.

Then the volume of the rectangular prism is V = (base area)(height).

The volume of the triangular prism is V = (1/3)(base area)(height)

We could compare the two volumes by creating the ratio inequality

  (1/3) (base area)(t-height)

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

      (base area)(r-height)

The triangular prism will have the greater volume for (1/3)((t-height) > r-height.

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A=zm+z solve for m please help!!!!!
Svetach [21]

Answer:

(a-z)/z = m

Step-by-step explanation:

a = zm+z

Subtract z from each side

a-z = mz+z-z

a-z = mz

Divide by z

(a-z) /z = mz/z

(a-z)/z = m

5 0
3 years ago
chloe has 42 oranges 24 apples and 18 bananas to put into fruit baskets each fruit will be divided equally so each basket will h
Nimfa-mama [501]

We want to calculate the number of baskets to which chloe can make.

Note that we have 42 oranges, 24 apples and 18 bananas, and since we are splitting them into the number of baskets, it must happen that the each number is a multiple of the number of baskets.

We will check each option to find out if the numbers are a multiple of the number. Then we will take the greatest to number to which all of them are a multiple.

Case 2: Note that 42= 21*2, 24=12*2 and 18 = 9*2 so all of them are multiples of 2.

So, so far the greatest number is 2.

Case 3:

Note that 42 = 3*14, 24 = 8*3 and 18 = 6*3. So all of them are multiples of 3.

So, so far the greatest number is 3.

Case 6:

Note that 42 = 6*7, 24 = 6*4 and 18 = 6*3. So all of them are multiples of 3. So, so far the greatest number is 6.

Case 8:

Note that 24=8*3. But neither 18 o 42 are multiples of 8. So, this can't be an option.

So, this means that the most number of fruit baskets Chole can make is 6, since 6 divides evenly all three numbers (42,24 and 18)

3 0
1 year ago
What is the vertex of the function f(x) = x2 + 12x?
Sophie [7]
We can start by figuring out the axis of symmetry.

y = x² + 12x = x (x + 12)

So roots are x = -12 or 0

Therefore axis of symmetry is x   =   (-12 + 0) / 2   =   -6

We got x-coordinate of vertex. Now plug in x=-6 to solve for y.

y = (-6)² + 12(-6)   =   36 - 72   =   -36

Therefore vertex is (-6, -36).
7 0
3 years ago
28. The edges of a cube are all increased by
Zolol [24]

Answer:

Percentage increase in volume will be

33.1

%

Step-by-step explanation:

Let the each edge of cube be

100

units.

Then its volume is

100

3

=

1000000

cubic units.

If each edge increases by

10

%

it becomes

110

units

and volume becomes

110

3

=

1331000

cubic units

Therefore increase in volume is

1331000

−

1000000

=

331000

cubic units

and percentage increase in volume is

331000

1000000

×

100

%

=

331

10

%

=

33.1

%

7 0
3 years ago
2 diminished by 7 times a number
jolli1 [7]

The answer is 2-7x I'm 100% sure

3 0
3 years ago
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