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2 years ago

Can somebody help mee plzzzzzzzz

Mathematics

1 answer:

hammer [34]2 years ago

7 0

Answer:

lines a and b are parallel. The slopes are -1/3

None of the lines are perpendicular to each other.

Step-by-step explanation:

To figure out if any of the lines are parallel or perpendicular to each other, you have to find the slopes of each line. To find the slope look at the graph find the rise over run for all of the lines:

line a: This line goes down one every time it goes over 3, which can be represented by -1/3

line b: This lines goes down one every time it goes over 3, which can also be written as -1/3

line c: This line goes up 5 every time it goes over 2, which makes the slope 5/2

When two lines are parallel, they have the same slope. Line a and line b have the same slope, so they are parallel.

When two lines are perpendicular, their slopes are negative reciprocals of each other. Since none of the slopes are a negative reciprocal of another slope, we have no perpendicular lines.

Hope this helps :)

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$\frac{1}{3}$

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A plane took off at a point that is 42 meters from the control tower. The flight path takes the plane over the control tower tha

kodGreya [7K]

Answer:

D. The plane needs to be about 27 meters higher to clear the tower.

Step-by-step explanation:

In this scenario a triangle is being formed. The base the plane's takeoff point to the tower base which is 42 meters (x).

The hypothenus is the distance travelled by the plane which is 83 meters (h)

The height of the tower is 98 Meters

We want to calculate the height of our triangle (y) so we can guage if the plane scaled the tower.

According to Pythagorean theorem

(x^2) + (y^2) = h^2

y = √ (h^2) - (x^2)

y = √ (83^2) - (42^2)

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y= 71.59 Meters

The height from the plane's position to the top of the tower will be

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2 years ago

The high temperatures for days in January are Normally distributed with a mean of 38 degrees Fahrenheit and a standard deviation

Sergio039 [100]

Answer:

0.6826

Step-by-step explanation:

The high temperatures for days in January are Normally distributed with a mean of 38 degrees Fahrenheit and a standard deviation of 5 degrees . How many days in January will have temperatures between 33 degrees Fahrenheit and 43 degrees Fahrenheit ? Round your answer to two decimal places.

Solution:

The z score is a score used in statistics to determine by how many standard deviations the raw score is above or below the mean. The z score is given by the formula:

$z=\frac{x-\mu}{\sigma} \\\\where\ \mu=mean,s=raw\ score \ and\ \sigma=standard\ deviation\\\\Given\ that\ \mu=38^oF,\sigma=5^oF\\\\For\ x=33^oF\\\\z=\frac{x-\mu}{\sigma}=\frac{33-38}{5}= -1\\\\For\ x=43^oF\\\\z=\frac{x-\mu}{\sigma}=\frac{43-38}{5}= 1\\\\$

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2 years ago