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olya-2409 [2.1K]
3 years ago
13

10 POINTS!.A sculptor is planning to make two triangular prisms out of steel. The sculptor will use △ABC for the bases of one pr

ism and △DEF for the bases of the other prism. Is △ABC similar to △DEF? Explain.
Suppose the sculptor makes both prisms with the same height. Find the volume of each prism. Which prism will have a greater volume? Show your work.

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
6 0

Answer:

if they are similar then their sides are proportional and the following would be true:  

40/30 = 48/36  

reduce both sides:  

4/3 = 4/3  

so, yes, they are similar.

Step-by-step explanation:

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Step2247 [10]
Posted a picture showing the solution. Everything is on it, including calculations.
The answer is 142 square inches (or 142 in.^2) same thing.

Hope this helps!

6 0
3 years ago
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Mai has picked 1 cup of strawberries for a cake which is enough for 3/4 of the cake. How many cups does she need for the whole c
Vaselesa [24]

Answer:Mai has picked 1 cup of strawberries for a cake which is enough for 3/4 of the cake. How many cups does she need for the whole cake?

Step-by-step explanation:

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the sum of three consecutive even integers is 6 subtracted from 4 times the middle number. Find the 3 numbers
anygoal [31]

Answer:

The three consecutive even integers are 4,6,8

Step-by-step explanation:

Let the three consecutive even integers be  2x, 2x+2, 2x + 4

Middle number = 2x +2

2x + 2x+2 + 2x + 4 = 4* (2x+2) - 6

6x + 6 = 4*2x + 4*2 - 6

6x + 6 = 8x + 8 -6

6x + 6 = 8x + 2

6x - 8x = 2 -6

-2x = -4

x = -4/-2

x = 2

The three consecutive even integers are  

2x = 2*2 = 4

2x+2 = 2*2 +2 =4 + 2 = 6

2x + 4 = 2*2+4 = 4+4 = 8

8 0
3 years ago
( simultaneous equations)
daser333 [38]

Answer:

See method below.

Step-by-step explanation:

m/n + n/3 = 2

2/m + n = 4    

First  eliminate the fractions by multiplying the first equation by 3n:-

3m + n^2 = 6n...........(1)

and the second equation by m:-

2 + mn = 4m..............(2)

Now we solve using substitution:-

From equation  (2):-

4m - mn = 2

m = 2 / (4 - n)

Now substitute for m in equation (1):-

6/ (4 - n) + n^2 = 6n

6 + n^2(4 - n) = 6n(4 - n)

6 + 4n^2 - n^3 = 24n - 6n^2

n^3 - 10n^2 + 24n - 6 = 0

This will not factor so we could solve this using graphical software.

To find the values of the variable m we substitute the found values of n into one of the original equations and solve for m.






6 0
3 years ago
what can you erase with a eraser and your finger answer this correctly and you get 25 points and brainly
stellarik [79]

Answer:

a dry-erase maker

Step-by-step explanation:

7 0
3 years ago
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