Equilateral triangle obtuse angle explain why cant exist plz help me if you can ok

Answers

Answer 1

Answer: This type of triangle does not exist because an equilateral triangle only has acute angles.

Answer 2

Answer: It doesn't exist because triangles are made up of 180 degrees. And all sides are equal amount and all angles are equal degrees. An obtuse angle is more than 90 degrees and if they were all more than 90 degrees it wouldn't be a triangle. Hope this helped!

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There are 27 red or blue marbles in the bag. The number of red marbles is 5 less than 3 times of the blue marbles. How many red marbles are in the bag? How many blue marbles are in the bag?

Answers

Let

x--------> The number of red marbles

y--------> The number of blue marbles

we know that

$x+y=27\n x=27-y$

equation $1$

$x=3y-5$

equation $2$

equate equation $1$ and equation $2$

$27-y=3y-5\n 3y+y=27+5\n 4y=32\n y=8$

$x=3*8-5\n x=19$

therefore

the answer is

The number of red marbles is $19$

The number of blue marbles is $8$

27=3x-5+x
27+5=4x-5+5
4x=32
4x/4=32/4
x=8
There are 8 blue marbles and 19 red marbles.

8 times what equals 216

Answers

Just divide 216 by 8. 216÷8=27.8 times $\boxed{27}$ = 216

8 x 27 = 216

i hope i helped

Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.42 and a standard deviation of 1.52. Using the empirical rule, what percentage of American women have shoe sizes that are greater than 9.94? Please do not round your answer.

Answers

Answer:

The percentage of the women have size shoes that are greater than

9.94 is 16%

Step-by-step explanation:

* Lets revise the empirical rule

- The Empirical Rule states that almost all data lies within 3 standard

deviations of the mean for a normal distribution.

- 68% of the data falls within one standard deviation.

- 95% of the data lies within two standard deviations.

- 99.7% of the data lies Within three standard deviations

* The empirical rule shows that

# 68% falls within the first standard deviation (µ ± σ)

# 95% within the first two standard deviations (µ ± 2σ)

# 99.7% within the first three standard deviations (µ ± 3σ).

* Lets solve the problem

- The shoe sizes of American women have a bell-shaped distribution

with a mean of 8.42 and a standard deviation of 1.52

∴ μ = 8.42

- The standard deviation is 1.52

∴ σ = 1.52

- One standard deviation (µ ± σ):

∵ (8.42 - 1.52) = 6.9

∵ (8.42 + 1.52) = 9.94

- Two standard deviations (µ ± 2σ):

∵ (8.42 - 2×1.52) = (8.42 - 3.04) = 5.38

∵ (8.42 + 2×1.52) = (8.42 + 3.04) = 11.46

- Three standard deviations (µ ± 3σ):

∵ (8.42 - 3×1.52) = (8.42 - 4.56) = 3.86

∵ (8.42 + 3×1.52) = (8.42 + 4.56) = 12.98

- We need to find the percent of American women have shoe sizes

that are greater than 9.94

∵ The empirical rule shows that 68% of the distribution lies

within one standard deviation in this case, from 6.9 to 9.94

∵ We need the percentage of greater than 9.94

- That means we need the area under the cure which represents more

than one standard deviation (more than 68%)

∵ The total area of the curve is 100% and the area within one standard

deviation is 68%

∴ The area greater than one standard deviation = (100 - 68)/2 = 16

∴ The percentage of the women have size shoes that are greater

than 9.94 is 16%

Final answer:

Less than 5% of American women have shoe sizes greater than 9.94.

Explanation:

The empirical rule states that for a bell-shaped distribution, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations of the mean, and more than 99% falls within three standard deviations of the mean.

In this case, the mean shoe size for American women is 8.42 and the standard deviation is 1.52. To calculate the percentage of American women with shoe sizes greater than 9.94, we need to find the proportion of the data that falls above this value.

First, we calculate the number of standard deviations that 9.94 is away from the mean: (9.94 - 8.42) / 1.52 = 0.9895 standard deviations.

Based on the empirical rule, we know that approximately 95% of the data falls within two standard deviations of the mean. Since 9.94 is less than two standard deviations away from the mean, we can estimate that less than 5% of American women have shoe sizes greater than 9.94. Therefore, the percentage of American women with shoe sizes greater than 9.94 is less than 5%.