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3 years ago

What is the area of the figure below

Mathematics

1 answer:

Wittaler [7]3 years ago

3 0

Answer:

$51mm^2$

Step-by-step explanation:

What you have is a square and a rectangle

The formula to find the area of a square is

$A=a^2=3^2=9mm^2$ (you only need one side as they are all the same)

The formula for a rectangle is

$A=wl=6*7=42mm^2$

Then you add them both up

$9+42=51mm^2$

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Which of the following is not the same as positive 6?

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Does the graph represent a function?

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You have to solve the problems starting at the "begin" and make your way up to the "end". The correct answer is one of the probl

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2 years ago

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Finding the Median from a Dot Plot

MAXImum [283]

Answer:

median rainfall for highland storms = 18mm

median rainfall for lowland storms = 18mm

median rainfall for lowland storms = 17mm if the list of numbers is

2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32

Step-by-step explanation:

The median is the middle number of a sequence of ordered numbers.

The formula for the median is:

median = (n + 1 )/ 2

where n = total number of values

Note: the number that you find with this formula is the position. SO you have to go to the sequence of numbers and find the number that lies in that position.

Highland storms:

4 6 8 10 12 14 16 18 20 22 24 26 28 30 32

The numbers are already in ascending order so we can proceed.

n = 15

∴ median = (15+1)/2

= 16/2

= 8

The median is the umber in the 8th position

so, the median rainfall for highland storms is 18mm

Lowland storms:

4 6 8 10 12 14 16 18 20 22 24 26 28 30 32

The numbers are already in ascending order so we can proceed.

n = 15

∴ median = (15+1)/2

= 16/2

= 8

The median is the number in the 8th position.

∴ median rainfall for lowland storms is = 18mm

<u>Unclear: if this is the list of numbers: </u>

2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32

then the median would be:

n = 16

median = (16+1)/2

= 17/2

= 8.5

This means the median lies between the numbers in the 8th and 9th position.

∴ The median is = (16 + 18)/2

= 34/2

= 17

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3 years ago

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Determine whether quadrilateral ABCD is a rhombus, a rectangle, a square, a parallelogram, or none. List all that apply. Explain

svlad2 [7]

Answer:

ABCD is a rhombus, and a parallelogram

==================================

<h3>Given </h3>

Points A(-6, - 1), B(4, - 6), C(2, 5), D(- 8, 10)

First, plot the points (see attached picture).

Then, connect all the points.

Opposite sides are parallel,
Diagonals are perpendicular.

From our observation the figure is rhombus.

Let's confirm it with the following.

1) Find midpoints of diagonals and compare.

AC → x = (- 6 + 2)/2 = - 2, y = (- 1 + 5)/2 = 2
BD → x = (4 - 8)/2 = - 2, y = (- 6 + 10)/2 = 2

The midpoint of both diagonals is same (- 2, 2).

2) Find slopes of diagonals and check if their product is -1, this will confirm they are perpendicular.

m(AC) = (5 - (-1))/(2 - (-6)) = 6/8 = 3/4
m(BD) = (10 - (-6))/(-8 - 4) = - 16/12 = - 4/3

m(AC) × m(BD) = 3/4 * (- 4/3) = - 1

<u>Confirmed.</u>

So this is a rhombus and also a parallelogram but <u>not</u> rectangle or square, since opposite angles are not right angles.

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1 year ago