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Mnenie [13.5K]
3 years ago
5

9. 8 cm 5.1 cm 5.1 cm 15 cm 5 cm 10 cm Find the area and perimeter

Mathematics
1 answer:
Ganezh [65]3 years ago
6 0

Answer:

of what tho

Step-by-step explanation:

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All of the edges of a regular triangular pyramid have length 12. A frustum of the pyramid has height half of that of the pyramid
vlada-n [284]

Answer:

1) The volume of the frustum is 27·(√3)·h

2) The surface area the frustum is 24·h + 54·√3

Step-by-step explanation:

1) A frustum of the regular triangular prism is a portion of the triangular prism

The length of the edge of the triangle prism = 12

The area of the triangular face, A = (√3/4)·a²

∴ A = (√3/4)·12² = 36·√3

When

The volume of the triangular prism, V = A·h = (36·√3)·h

By triangle proportionality theorem, the cross sectional area of the top half of the triangular prism =  (√3/4)·6² = 9·(√3)

The volume of the top half, V₂ = 9·(√3)·h

The volume of the frustum = V - V₂ = (36·√3)·h - 9·(√3)·h = 27·(√3)·h

The volume of the frustum = 27·(√3)·h

2) The surface area of the triangular side of the frustum is given as follows;

A = 36·√3- 9·(√3) = 27·(√3)

The surface area the frustum, F_A = 2×27·(√3) + 2 ×6 ×h + 12×h = 24·h + 54·√3

The surface area the frustum = 24·h + 54·√3

4 0
3 years ago
Find the measures of angles 1-10
Leviafan [203]

Answer:

1) 78

2) 28

3) 74

4) 28

5) 74

6) 106

7) 74

8) 74

9) 78

10) 78

5 0
3 years ago
A box contains different colored paper clips. The probability of drawing two red paper clips from the box without replacement is
ivann1987 [24]

Answer: 5/14 which is choice B

================================================

How I got this answer:

Define the following events

A = event of picking a red paper clip on the first selection

B = event of picking a red paper clip on the second drawing

Replacement is not made.

Now onto the probabilities for each

P(A) = 2/5 = 0.4 is given to us as this is simply the probability of picking red on the first try

P(A and B) = probability of both events A and B happeing simultaneously = 1/7

P(B|A) = probability event B occurs, given event A has occured

P(B|A) = probability of selecting red on second selection, given first selection is red (no replacement)

P(B|A) = P(A and B)/P(A)

P(B|A) = (1/7) / (2/5)

P(B|A) = (1/7) * (5/2)

P(B|A) = (1*5)/(7*2)

P(B|A) = 5/14

So if event A happens, then the chances of event B happening is 5/14

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

A more concrete example:

If we had 15 paperclips, and 6 of them were red, then

P(A) = (# of red)/(# total) = 6/15 = 2/5

P(B|A) = (# of red left)/(# total left) = (6-1)/(15-1) = 5/14

P(A and B) = P(A)*P(B|A) = (2/5)*(5/14) = 10/70 = 1/7

7 0
3 years ago
Read 2 more answers
Hi, I have no clue how to do proportions and can you explain how to do this? If you can't that's alright.
bekas [8.4K]

___________________

Please, give me some minutes to take over your question

______________________________________

Rate = miles / time

8/t = 7/ 35

Dividing by 7

8/t = 7/ 35

8/ 7t = 1/ 35

Multiplying by t

8/7 = t/35

_____________

Options

1) 8/t = 35/ 7 (False, t/8 = 35/ 7 )

2) t/8 = 7/ 35 (False, t/8 = 35/ 7 )

3) 8/7 = t/ 35 (TRUE)

4) 7/8 = t/35 (False, 8/7 = t/ 35 )

__________________

Answer

3) 8/7 = t/ 35 (TRUE)

4 0
1 year ago
Grandma is making a
Svetlanka [38]

Answer:

the answer is 2304

Step-by-step explanation:

8×8=64

64×36=2304

4 0
3 years ago
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