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3 years ago

Can someone help me draw this out to visualize it?

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

3 0

Answer:

Solution given:

South distance :base[b]=80milea

East distance :perpendicular [p]=35miles

Now

<S=?

we have

$\tan( \alpha ) = \frac{p}{b} = \frac{35 }{80}$

$\alpha = \tan {}^{ - 1} ( \frac{7}{16} )$

$\alpha = 23.629°$ =24°

24° bearing should be taken from south airport to East airport.

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Find and interpret the mean absolute deviation of the data.

Zinaida [17]

Answer:

The mean absolute deviation is 4

Interpertation: The average distance between each data value and the mean is 4 which is the variation in the data set so you can understand how "spread out" each data point is from each other

Step-by-step explanation:

The mean absolute deviation is a measure of how much a data set varies.

Step 1: Compute the mean

mean = the sum of all the terms / number of terms

mean = 94 + 86 + 95 + 99 + 88 + 90 / 6

= 552 / 6

= 92

The mean is 92

Step 2: Finding the absolute deviation

You would take each number in the data set and subtract it from the mean, take the absolute value. After you take the sum of the absolute data values

= |94 - 92| + |86 - 92| + |95 - 92| + |99 - 92| + |88 - 92| + |90 - 92|

= |2| + |- 6| + |3| + |7| + |- 4| + |- 2|

= 2 + 6 + 3 + 7 + 4 + 2

= 24

To find the mean absolute deviation you divided the sum by total number of terms...

24/6 = 4

The average (mean) is equal to the sum of all the data values divided by the count of values in the data set (which was step 1)

Let me know if you have any questions !

I applied to be a live tutor, Hope to impove the experience :)

Have a nice day, feel free to give me feedback

3 0

1 year ago

The vertices of a parallelogram are A(x1,y1), B(x2,y2), C(x3,y3), D(x4,y4)

Tju [1.3M]

For a parallelogram to be proven to be a rectange, the opposide sides must be parallel and the two adjacent sides must be perpendicular. For two parallel sides, the slope of the two sides is equal. Thus, for the parallelogram to be a rectangle, AB is parallel to CD. The slope of AB = (y2 - y1)/(x2 - x1) while the slope of CD = (y4 - y3)/(x4 - x3) Also, BC is perpedicular to CD. For two perpendicular sides, the product of the slopes is -1. The slope of BC is given by (y3 - y2)/(x3 - x2). Therefore, for the parallelogram to be a rectangle. (y2 - y1)/(x2 - x1) = (y4 - y3)/(x4 - x3) and (y4 - y3)/(x4 - x3) x (y3 - y2)/(x3 - x2) = -1. The third option is the correct answer.

3 0

2 years ago

Read 2 more answers

Anna put $500 into a savings account and made no more deposits or withdrawals. The account earns 2% simple interest per year. Ho

castortr0y [4]

Answer:

$552.04

Step-by-step explanation:

Lauren, use the compound amount formula: A = P(1 + r)^n.

Here P is the principal and is $500; r is the annual interest rate as a decimal fraction, and n is the number of years.

After 5 years, Anna will have: $500(1 + 0.02)^5 = $552.04

4 0

3 years ago

One number is 3 times another. If the sum of the two numbers is 15, find the two numbers.

gregori [183]

Answer:

15/4 and 45/4

Step-by-step explanation:

Let x and y be the numbers

x = 3y

x+ y = 15

Substitute the first equation in to the second equation

3y+y = 15

4y = 15

y = 15/4

x = 3(15/4)

x = 45/4

The two numbers are 15/4 and 45/4

8 0

2 years ago

Read 2 more answers

What is the area of the rhombus?

cluponka [151]

Answer:

Area=36

Step-by-step explanation:

Area of rhombus: diagonal 1 x diagonal 2 divided by 2.

To find the area of a rhombus, you need to find the length of both diagonals(which is the distance between 2 points across from each other).

First, find the distance between -8 and 4 which is 12.

Next, find the distance between -1 and -7 which is 6.

12 x 6 =72

72/2=36

4 0

2 years ago