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3 years ago

An equilateral triangle has perimeter P. The length of one side is P/3. Which expression is equivalent to the length on one side

Mathematics

1 answer:

irina1246 [14]3 years ago

3 0

Answer: $3\times \dfrac{P}{3}=P$

Step-by-step explanation:

Given

The perimeter of one equilateral triangle is P

The lengths of the equilateral triangle are equal

Suppose x is the length of each side

$\therefore 3\times x=P\\\\\Rightarrow x=\dfrac{P}{3}$

i.e.

$\Rightarrow 3\times \dfrac{P}{3}=P$

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Alina [70]

Area = (6x-2)(x-1)....

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4 years ago

PLEASE HELP ME A B C OR D

densk [106]

Answer:

The answer is B (30)

Step-by-step explanation:

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3 years ago

Read 2 more answers

g A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50. In a rando

Tema [17]

Answer:

We accept the null hypothesis, that is, the the mean amount of garbage per bin is not different from 50.

Step-by-step explanation:

A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50.

This means that the null hypothesis is:

$H_{0}: \mu = 50$

And the alternate hypothesis is:

$H_{a}: \mu \neq 50$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

50 tested at the null hypothesis:

This means that $\mu = 50$

In a random sample of 36 bins, the sample mean amount was 50.67 pounds and the sample standard deviation was 3.9 pounds.

This means that $n = 36, X = 50.67, \sigma = 3.9$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{50.67 - 50}{\frac{3.9}{\sqrt{36}}}$

$z = 1.03$

p-value:

Since we are testing if the mean is differente from a value and the z-score is positive, the pvalue is 2 multipled by 1 subtracted by the pvalue of z = 1.03.

z = 1.03 has a pvalue of 0.8485

1 - 0.8485 = 0.1515

2*0.1515 = 0.3030

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5 0

3 years ago

How could I approach this and find what x equals? Any help would be great!

Svetlanka [38]

Answer:

I think x = 5.25

Step-by-step explanation:

Since they are corresponding angles, they should be congruent.

90 = 16x - 6

84 = 16x

x = 5.25

7 0

4 years ago

Read 2 more answers

What is the answer???

vagabundo [1.1K]

Answer:

3. $\displaystyle x-intercept: [-4\frac{1}{2}, 0] \\ y-intercept: [0, -9] \\ Slope-Intercept\:Form: y = -2x - 9$

2. $\displaystyle x-intercept: [5, 0] \\ y-intercept: [0, 1] \\ Slope-Intercept\:Form: y = -\frac{1}{5}x + 1$

1. $\displaystyle x-intercept: [4, 0] \\ y-intercept: [0, -3] \\ Slope-Intercept\:Form: y = \frac{3}{4}x - 3$

Step-by-step explanation:

−2x - y = 9

x-intercept → Plug in 0 for y to get −4½ for x

y-intercept → Plug in 0 for x to get −9 for y

−2x - y = 9

+ 2x + 2x

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$\displaystyle \frac{-y}{-1} = \frac{2x + 9}{-1}$

$\displaystyle y = -2x - 9 →$ Slope-Intercept Form

_______________________________________________

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x-intercept → Plug in 0 for y to get 5 for x

y-intercept → Plug in 0 for x to get 1 for y

x + 5y = 5

- x - x

_________

$\displaystyle \frac{5y}{5} = \frac{-x + 5}{5}$

$\displaystyle y = -\frac{1}{5}x + 1 →$ Slope-Intercept Form

_______________________________________________

3x - 4y = 12

x-intercept → Plug in 0 for y to get 4 for x

y-intercept → Plug in 0 for x to get −3 for y

3x - 4y = 12

- 3x - 3x

_________

$\displaystyle \frac{-4y}{-4} = \frac{-3x + 12}{-4}$

$\displaystyle y = \frac{3}{4}x - 3 →$ Slope-Intercept Form

I am joyous to assist you anytime.

4 0

3 years ago