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Umnica [9.8K]
3 years ago
9

Y

Mathematics
1 answer:
zheka24 [161]3 years ago
5 0

Please visit this link: https://youtu.be/_0Ft9HdNg5c

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The two pyramids are similar. Find the volume of the smaller pyramid. Round your answer to the nearest hundredth.
mihalych1998 [28]

Answer:

A) 5.12mm³

Step-by-step explanation:

Step 1

Find the volume of the bigger pyramid

This is a triangular based pyramid.

The formula to use is given as Volume of Pyramid =

1/3 × Area of the triangle × Height

Area of the triangle = 1/2 × 3 mm × 4mm = 6mm²

Volume of the large pyramid = 1/3 × 6mm² × 5mm

= 10mm³

We are given the length of the small pyramid as 4mm

We would be using was is known as scale factor to find the volume of the small pyramid

The scale factor k = (Height of the small pyramid)³/ (Height of the Large pyramid)³

k = 4³/5³

k = Volume of small pyramid/ Volume of large pyramid

Volume of small pyramid = X

Volume of large pyramid = 10mm³

Hence,

4³/5³ = X/10

Cross Multiply

= 4³ × 10 = 5³ × X

X = (4³ × 10)/ 5³

X = 5.12mm³

5 0
4 years ago
Barbara claims that her horse can do simple addition problems. She showed her horse eight different cards with simple addition p
Arturiano [62]

Answer:

Barbara's horse can add

Step-by-step explanation:

To test if the horse could add, Eric he tried to calculate experimentally the probability that the horse had guessed the 8 answers.



If we call "trial" the action of throwing 8 coins and count the number of tails obtained, then eric made 53 trials.


During each trial, 8 events could have occurred:


Get 1, 2, 3, 4, 5, 6, 7 or 8 tails.


The plot of points obtained by Eric shows the frequency in which each of these 8 events occurred during the 53 trials.


The fact that the point diagram shows only one point on event 8, means that it occurred only once during the 53 trials, and compared to the other 7 events, this was the one with a lower frequency (the one that obtained the the highest frequency was the 4-tailed one, with 11 points).


This means that it is very unlikely to get 8 queues when casting 8 coins.


Therefore it also means that it is unlikely that Barbara's horse has guessed the 8 answers.

So, curiously, Barbara's horse maybe knows how to add

6 0
3 years ago
Read 2 more answers
Increase 30g by 80%
olya-2409 [2.1K]

Answer: 54

Step-by-step explanation: 30, percentage increased by 80% (percent) of its value = 54

6 0
3 years ago
Read 2 more answers
1. Miles and Simon do chores to earn an allowance from their parents. Miles has $120 saved and gets a $10 allowance per week. Hi
Alenkinab [10]

Answer:

120 +10w = 75 + 15w, w=weeks, found by adding savings to rate times and unknown variable of weeks and setting equal to each other. 9 wks, $210

Step-by-step explanation:

120 +10w = 75 + 15w

120-75= - 10w+15w

45=5w

45/5=9

9 weeks

120 + 90 = 75 + 135

210= 210

4 0
3 years ago
Choose all questions that are true
AnnZ [28]
I believe the correct answers are A, B, and D
4 0
3 years ago
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