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3 years ago

What is the perimeter of a square whose diagonal is 3 square root 2? Show all work on how you got your answer

Mathematics

1 answer:

Alika [10]3 years ago

6 0

Answer:

Step-by-step explanation:

Given: Diagonal of square= $3\sqrt{2}$

To find the perimeter of square, we need to find the length of sides of square.

∴ Using the formula of diagonal to find side of square.

Formula; $Diagonal= s\sqrt{2}$

Where, s is side of square.

⇒ $3\sqrt{2} = s\sqrt{2}$

Dividing both side by √2

⇒ $s= \frac{3\sqrt{2} }{\sqrt{2} }$

∴ $s= 3$

Hence, Length of side of square is 3.

Now, finding the perimeter of square.

Formula; $Perimeter= 4s$

⇒ $Perimeter= 4\times 3$

∴ $Perimeter= 12$

Hence, Perimeter of square is 12.

You might be interested in

What is the surface area of this figure below?

ivann1987 [24]

Answer:

answer: 189

Step-by-step explanation:

Formula to find triangles area is base x height ÷ 2 So... 7 x 10 = 70 70 ÷ 2 = 35 Now sense we have 4 identicle triangles we will just do 35 × 4 amd 35 × 4 = 140 now for the square its simply just base x height so 7 × 7 = 49 now we will add these up...140 + 49 = 189 so 189 is the area. Hope this helps!

7 0

2 years ago

Consider this figure of a hexagon.

notsponge [240]

A)
It looks like the [irregular] hexagon has 3 rectangles and 2 triangles within it.
So let's exclude the triangular corners on bottom left and top right for now.
First we have a large rectangle covering most of the upper left of the polygon. 20 ft × 7 ft = 140 sq.ft.
Now we have a rectangle on the bottom right. The width is 11 ft, so take the 7 away from that, 4 ft. × 14 ft. on bottom. 4 ft × 14 ft = 56 sq.ft.
The last small rectangle fits on the right between the 2 other rectangles. It is 24-20 on top/bottom × 7-6 right/left. 4 ft × 1 ft = 4 sq.ft.
Now for the triangles: bottom left is 11-7 × 24-14 = 4 ft × 10 ft. 1/2bh = 1/2×10×4 = 20 sq.ft.
Top right is 24-20 × 11-5 = 4 ft × 6 ft. 1/2bh = 1/2×4×6 = 12 sq.ft.

B)
Add them all together for the total area (A):
A = 140 + 56 + 4 + 20 + 12 = 140+60+32
= 232 sq.ft.

Hope that explains it well enough! ;)

6 0

3 years ago

Read 2 more answers

Rita drank the following ounces of milk during the last week

Andre45 [30]

Answer:

Mean = 14.14

Mode = 14

Median = 14

Range = 16

Step-by-step explanation:

Given Data Set : 18 , 14 , 10 , 22, 14 , 15 and 6

Identifying the mean

Mean = Sum of given data values / total # of given values

Here sum of given data values = 18 + 14 + 10 + 22 + 14 + 15 + 6 = 99

And there are 7 given data values

So mean = 99 / 7 =

14.14

( approximately )

Identifying the mode

The mode is the number that appears most often

14 appears twice, which is the most times out of any other value

Hence, the mode is

Identifying the median

The median is the middle number in terms of value

To make this easier, its best to order the given values from least to greatest
Doing so we acquire 6 , 10 , 14 , 14 , 15 , 18 , 22

Then you go to the middle of the listed terms.

Doing so we would end up with 14 being in the middle

Hence the median is

Identifying the range

Range = largest given value - smallest given value

Here the most rita drank was 22 ounces and the least amount of milk she drank was 6 ounces

So the range would be 22 - 6 =

ounces

And we are done!

3 0

2 years ago

Which of the following is not a valid conversion factor?

inessss [21]

Answer:

Out of the 3 that were listed, the "conversion" that is invalid is 1 meter = 10 millimeters.

Step-by-step explanation:

First: Well, for something like this, you don't really need steps, you just need to know how to do process of elimination and also your conversions:

We know that 1 meter is 100 centimeters

We know 1 kilometer is 1000 meters

We know that 1 meter is 10 millim....... Wait. Do we know that?

No! 1 meter is not 10 millimeters, it's 1000 millimeters. So 1 meter = 10 millimeters is invalid.

If you ever need a converter, use this link: https://www.google.com/search?q=centimeters+to+inches&rlz=1CAFQZI_enCA835&oq=centim&aqs=chrome.2.69i57j0l5.9328j0j7&sourceid=chrome&ie=UTF-8

Thank you for reading

Topic: Metric Conversions

4 0

3 years ago

Read 2 more answers

John was given the equation 4(2a + 3)= -3(a - 1) + 31 - 11. Some steps an their reasons have already been completed. State a pro

cestrela7 [59]

Answer:

- Disitributive property.

- Addition property of equality.

Step-by-step explanation:

The complete exercise is attached.

For this exercise you need to remember the following properties:

1. The Distributive property states that:

$c(a+b)=ac+bc\\\\c(a-b)=ac-bc$

2. The Addition property of equality states that:

$If\ a=b\ then\ a+c=b+c$

Then, given the equation:

$4(2a + 3)= -3(a - 1) + 31 - 11a$

You can identify that the first property John used was the Distributive property:

$(4)(2a) + (4)(3)= (-3)(a) +(-3)(- 1) + 31 - 11a\\\\8a+12=-3a+3+31-11a$

After combining like terms, you can identify that the next property he applied was the Addition property of equality, adding $14a$ to both sides of the equation:

$8a+12+(14)=-14a+34+(14)\\\\22a+12=34$

8 0

3 years ago