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Sonbull
14 days ago
13

Kaylee is painting a design on the floor of a recreation room using equilateral triangles. She begins by painting the outline of

Triangle 1 measuring 50 inches on a side. Next, she paints the outline of Triangle 2 inside the first triangle. The side length of Triangle 2 is 80% of the length of Triangle 1. She continues painting triangles inside triangles using the 80% reduction factor. Which triangle will first have a side length of less than 29 inches?
Mathematics
2 answers:
AnnZ [9.1K]14 days ago
8 0

Answer:

A. Triangle 4

PIT_PIT [9.1K]14 days ago
8 0
The answer to the problem above is the fourth triangle. To explain: Triangle 1 has a side length of 50 inches, with Triangle 2 measuring 40 inches as it is 80% of Triangle 1. Triangle 3 then measures 32 inches due to it being 80% of Triangle 2, and Triangle 4 comes down to 25.6 inches, which is 80% of Triangle 3. Hence, Triangle 4 will be the first to have a side length under 29 inches.
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Answer:

d) Both blocks experienced equivalent energy loss due to friction

Explanation:

As stated in the question, two tractors are pulling two identical stone blocks the same distance across similar surfacesAdditionally, block A moves at double the speed of block B when completing the race

This implies both blocks suffer from comparable friction loss

Moreover, we understand that

Energy loss from friction is E(X) = np

Thus, the friction loss should be identical for both blocks

therefore, option d is the accurate choice p = 0.98

6 0
2 days ago
Emi computes the mean and variance for the population data set 87, 46, 90, 78, and 89. She finds the mean is 78. Her steps for f
AnnZ [9117]
Let’s determine the actual mean

First, we sum all the values

87+46+90+78+89 = 390

Then, we divide 390 by the count of numbers present.

390/5 = 78

Thus, the mean is 78

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7 0
19 days ago
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The data set represents the number of rings each person in a room is wearing. 0, 2, 4, 0, 2, 3, 2, 8, 6 What is the interquartil
Leona [9281]
D1,..,d9 = 0,0,2,2,2,3,4,6,8 //there are 9 values, presented in ascending order
Q2 (median) = d5 = 2 //middle value
Q1 = (d2+d3) / 2 = (0+2)/2 = 1
(Q1 represents the median of d1,d2,d3,d4, but as there is no singular middle element among four, the average is computed)
Q3 = (d7+d8) / 2 = (4+6)/2 = 5
interquartile range = IQR = Q3 - Q1 = 5 -1 = 4
final answer: 4

4 0
1 month ago
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The sum of two consecutive mile markers on the interstate is 561. Find the numbers on the markers.
PIT_PIT [9156]
Define x as the first mile marker, thus x + 1 corresponds to the second mile marker. This can be expressed as x + (x + 1) = 561, which simplifies to 2x + 1 = 561. Therefore, 2x equals 560, leading to x being 280. Consequently, the first mile marker is 280, and the second mile marker is 281.
4 0
6 days ago
Which inequality statement best describes the probability of event (P) ?
PIT_PIT [9156]

Answer:

0\le P\le 1

Step-by-step explanation:

The probability of an event quantifies the likelihood of that event occurring.

Definition: The probability of an event is given as

P=\dfrac{\text{Number of favorable outcomes}}{\text{Number of all possible outcomes}}

1. An event that is sure to occur (Number of favorable outcomes = Total number of outcomes) has a probability of 1.

2. An event that is impossible (Number of favorable outcomes = 0) has a probability of 0.

3. If there's a possibility that an event can occur, its probability will fall between 0 and 1.

<pthus>

0\le P\le 1

</pthus>
6 0
21 day ago
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