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1 year ago

8

Lot 1 lies where two roads meet at a 79° angle. Lot 2 lies where two roads meet at a 65° angle. Lot 3 lies where two roads meet

at a 36° angle. All lots have two sides measuring 20 feet as shown. A triangle is shown. At each of the points of the triangle, a line representing a fence is drawn to form a smaller triangle at each point. All other sides of the smaller triangles are 20 feet. Lot 1 lies where the angle is 79 degrees. Lot 2 lies where the angle is 65 degrees. Lot 3 lies where the angle is 36 degrees. A fence runs along the back wall of each property, as shown in the diagram. Which lot has the longest fence along the back wall? Which lot has the shortest fence along the back wall?

2 answers:

fiasKO [112]1 year ago

8 0

Answer: First is Lot 1

Second is Lot 3

Step-by-step explanation:

a_sh-v [17]1 year ago

5 0

Answer:

First answer is Lot 1

Second Answer is Lot 3

Step-by-step explanation:

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Bonnie is making a dipping sauce. She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar. How much soy sauce doe

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We have been given that Bonnie is making a dipping sauce. She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar.

1. We can find amount of soy sauce Bonnie mixes with every 1 milliliter of vinegar by dividing total amount of soy sauce by total amount of vinegar.

$\text{Amount of soy sauce per ml vinegar}=\frac{150}{100}$

$\text{Amount of soy sauce per ml vinegar}=\frac{15}{10}=\frac{3}{2}$

$\text{Amount of soy sauce per ml vinegar}=1.50$

Therefore, Bonnie mixes 1.50 ml of soy sauce with every 1 ml of vinegar.

2. We can find amount of vinegar Bonnie mixes with every 1 ml of soy sauce by dividing total amount of vinegar by total amount of soy sauce.

$\text{Amount of vinegar per ml soy sauce}=\frac{100}{150}$

$\text{Amount of vinegar per ml soy sauce}=\frac{10}{15}=\frac{2}{3}$

$\text{Amount of vinegar per ml soy sauce}=0.6666666666666667\approx0.67$

Therefore, Bonnie mixes 0.67 ml of vinegar with every 1 ml of soy sauce.

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2 years ago

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Janie uses a reflecting tool to reflect Point B onto Point A. Which of the following statements are true about the line of refle

ExtremeBDS [4]

According to the question's statement you can see we have to choose more than one true statements. So,
1. Reflection line is perpendicular to AB ===>TRUE
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4. Reflection line forms two equal angles with segment AB. ====>TRUE

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1 year ago

It's 3.15 pm and Adam needs to post the parcel. The journey to the post office takes 36 minutes. Adam queues in the post office

kirza4 [7]

Answer:

16:40

Step-by-step explanation:

To convert 3:15 PM to 24-hour time, we remember that PM is after noon. This means we add 12 to 3 for the hour; this gives us 15:15.

Add 36 minutes to this; we get 15:51.

Add 13 minutes to this; it takes 9 minutes to get to 16:00, which leaves 4 minutes; this gives us 16:04.

Adding 36 minutes to this, we have 16:40.

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1 year ago

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The hospital shop buys cereal bars in boxes of 4.

Korolek [52]

First, you divide 58 bars by 4. The answer will be 14 boxes with 2 bars remaining in the box.

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2 years ago

A website advertises job openings on its website, but job seekers have to pay to access the list of job openings. The website re

nataly862011 [7]

Answer:

The 90% confidence interval would be given by (57.006;62.994)

Step-by-step explanation:

Previous concepts

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

$\bar X=60$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=10$ represent the population standard deviation

n=30 represent the sample size

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma=10)$

The sample mean $\bar X$ is distributed on this way:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

The confidence interval on this case is given by:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The next step would be find the value of $\z_{\alpha/2}$ , $\alpha=1-0.90=0.1$ , $\alpha/2 =0.05$ and $z_\alpha/2=1.64$

Using the normal standard table, excel or a calculator we see that:

$z_{\alpha/2}=1.64$

Since we have all the values we can replace:

$60 - 1.64\frac{10}{\sqrt{30}}=57.006$

$60 + 1.64\frac{10}{\sqrt{30}}=62.994$

So on this case the 90% confidence interval would be given by (57.006;62.994)

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2 years ago