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Mathematics

1 answer:

Anika [276]2 years ago

6 0

Answer:

We are given that the frame is 2 units wide, which means that we subtract the length of the outer frame by 2 units for each side:

7 - 2 -2 = 3

9 - 2 -2 = 5

Now, we have the length and width for the smaller rectangle, so we use the area formula (area = length*width) to get:

3*5 = 15

Step-by-step explanation:

Please support my answer.

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i just need a little help with this not all questions have to be answered i just want to know how to find it.

Olenka [21]

To find the mean you have to get the average number found by adding all data points and dividing by the number of data points.

Example: The mean of 4, 1, and 7 is (4+1+7)/3 = 12/3 = 4

For median you have to get the middle number which is found by ordering all data points and picking out the one in the middle (or if there are two middle numbers, taking the mean of those two numbers).

Example: The median of 4, 1, and 7 is 4
because when the numbers are put in order (1, 4, 7) the number 4 is in the middle.

To get the mode you have to get the most frequent number which is, the number that occurs the highest number of times.

Example: The mode of {4,2,4,3,2,2} is 2 because it occurs three times, which is more than any other number.

Hope that helps.

3 0

1 year ago

What does the product of the two circled numbers represent?

Stella [2.4K]

Answer:

Step-by-step explanation:

<u>Product</u> is another word for multiplication, and 2 * 9 = 18.

Hope this helps! :D

~Kk

8 0

2 years ago

Read 2 more answers

Determine the angles made by the vector v = (67)i + (-15)j with the positive x- and y-axes. write the unit vector n in the direc

vivado [14]

Consider the picture attached.

From right triangle trigonometry:

tan(α)=(opposite side)/(adjacent side)=15/67=0.2239

using a scientific calculator we find that arctan(0.2239)=12.62°

thus α=12.62°, is the angle that the vector makes with the positive x-axis.

The angle made with the + y-axis is 12.62°+90°=102.62°.

The length of the vector v can be determined using the Pythagorean theorem:

$|v|= \sqrt{ 67^{2} + 15^{2} }= \sqrt{4489+225}= \sqrt{4714}=68.8$

Thus, to make v a unit vector, without changing its direction, we need to divide v by |v|=68.8.

This means that the x and y components will also be divided by 68.8, by proportionality.

So, the unit vector in the direction of v is:

<span>(67/68.8)i + (-15/68.8)j=0.97 i + (- 0.22)j
</span>

Answer: 12.62°; 102.62°; 0.97 i + (- 0.22)j