if the length of diagonal of a square is 4√2 cm, find it's length, perimeter and area.​

Answers

Answer 1

Answer:

As Per Provided Information

Length of diagonal of square is 42 cm

We have been asked to find the length , perimeter and area of square .

First let's calculate the side of square .

Using Formulae

[tex] \boxed{\bf \:Diagonal_{(Square)} \: = side \sqrt{2}}[/tex]

On substituting the value in above formula we obtain

[tex] \qquad\longrightarrow\sf \:4 \sqrt{2} = side \sqrt{2} \\ \\ \\ \qquad\longrightarrow\sf \:4 \cancel{\sqrt{2}} = side \cancel{ \sqrt{2}} \\ \\ \\ \qquad\longrightarrow\sf \:side \: = 4 \: cm[/tex]

Therefore,

Length of its side is 4 cm.

Finding the perimeter of square.

[tex] \boxed{\bf \: Perimeter_{(Square)} = 4 \times side}[/tex]

Substituting the value we obtain

[tex]\qquad\longrightarrow\sf \:Perimeter_{(Square)} \: = 4 \times 4 \\ \\ \\ \qquad\longrightarrow\sf \:Perimeter_{(Square)} = 16 \: cm[/tex]

Therefore,

Perimeter of square is 16 cm .

Finding the area of square .

[tex] \boxed{\bf \: Area_{(Square)} = {side}^{2}}[/tex]

Substituting the value we get

[tex]\qquad\longrightarrow\sf \:Area_{(Square)} \: = {4}^{2} \\ \\ \\ \qquad\longrightarrow\sf \:Area_{(Square)} = 16 \: {cm}^{2} [/tex]

Therefore,

Area of square is 16 cm².

Related Questions

Simplify the expression by
combining like terms:
-3a + 1 + a +5
Enter the number that belongs in the green box.
[? ]a +[ ]
Enter

Answers

Answer:

-2a+6

Solution:Let's simplify this expression by combining like terms.The like terms are-3a, a1, 5Combine them:-3a+a+1+5-2a+6

Hope it helps.

Do comment if you have any query.

Which diagram is NOT a good model of 3÷1/4?

Answers

Answer:

The diagram with three triangles is not a good representation.

The other diagrams have three parts divided into 4 places. The diagram of the triangles only has 3 parts in each of the three triangles. The equation for that would be 3 divided by 1/3.





Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Help picture below problem 13

Answers

?=9
C^2-a2=b2
15^2-12^2=9^2
The missing side = 9

Adam ate 2 cherries. Stella ate 3 times as many cherries as Adam.
Which number sentence shows how many cherries Stella ate?

Answers

the second sentence “ stella ate 3 times as many cherries as adam” it shows that stella ate 6 cherries.

6. Freddy gets an allowance of £50 each month.
His parents increase is by 35%. How much does
Freddy now receive for his allowance?

Answers

Answer:

$67.5

Step-by-step explanation:

New value =

50 + Percentage increase =

50 + (35% × 50) =

50 + 35% × 50 =

(1 + 35%) × 50 =

(100% + 35%) × 50 =

135% × 50 =

135 ÷ 100 × 50 =

135 × 50 ÷ 100 =

6,750 ÷ 100 =

67.5

if books cost $14.99, and there is 5% sales tax, how much is the sales tax on the books?

Answers

Answer:

0.7495 or 0.75 sales tax

Step-by-step explanation:

5% of 14.99 is 0.7495. rounded to the nearest tenth it is 0.75

need help with this question

Answers

The third one is correct

Because to get that you should use the standard equation for the circle, (x-h)^2+(y-k)^2=r^2
Then, substitute the center (h,k) and radius r

Any doubts

My sister needs help

Answers

Answer:

» 15

Step-by-step explanation:

» 5*3=15

hope this helps.

1.74 multiplied by what equals 5.22

Answers

The answer is 3.
1.74 × 3 = 5.22

82 people were surveyed as to how many TVs they had in their homes.

What was the range in the number of TVs owned by these households?


Number of TVs per Household Frequency
0 1
1 10
2 24
3 21
4 16
5 9
6 1

Answers

Answer:

The range is 23

Step-by-step explanation:

You need to find the biggest number, and then find the smallest number.  Then you need to subtract them.

Two vertices of a right triangle have coordinates (37) and (310). The segment that connects these points is a leg of the triangle
Which set of coordinates for the third vertex would create a night triangle?
OS)

Answers

Answer:

(7, 8)

I hope my answer helps you.

a swim team consists of seven boys and four girls a relay team of four swimmers is chosen at random from the team members what is the probability that two boys are selected for the relay team given that the first two selections were girls

Answers

Answer:

16/121

Step-by-step explanation:

First, we need to calculate the chance of a girl being selected for the first pick.

Since there are 4 girls and 7 boys, there are 11 total members on the team. Since 4 of them are girls, there is a [tex]4/11[/tex] chance that a girl is chosen first pick.

Next, to find the chance of the second selection to also be a girl, we have to multiply 4/11 by 4/11 to find that total.

[tex]\frac{4}{11} *\frac{4}{11} =\frac{16}{121}[/tex]

Therefore, the chance of the first two selections being girls is 16/121.

#LearnWithBrainly

help pls

30 brainly points
Asap​

Answers

Answer:

heya! ^^

we've been given an expression which is as follows -

[tex]4 {}^{2} - \sqrt{25} [/tex]

let's deal with this expression by dividing it into two separate parts which may help understand better.

______________________________________

★ let's first deal with the first part which is - [tex]4 {}^{2} [/tex]

now ,

[tex]4 {}^{2} \: can \: also \: be \: written \: as \\ \\ 4 {}^{2} = 4 \times 4 \\ 4 {}^{2} = 16[/tex]

★ now , let's consider the second part which is - [tex] \sqrt{25} [/tex]

this can also be written as " 5 " since ,

[tex] \sqrt{25} = 5[/tex]

______________________________________

let's have a look at the entire expression altogether now.

[tex]4 {}^{2} - \sqrt{25} \\ \\\dashrightarrow 16 - 5 \\ \\ \dashrightarrow \: 11[/tex]

hope helpful :D

4^2=16, and the square root of 25 =5, so your final answer is 11 since 16-5=11.

The following bond was quoted in The Wall Street Journal:
Bonds
NJ 4.125% 35
Current yield Volume
2.3%
5
Close
109.875%
Net change
+1.125%
Four bonds were purchased yesterday, and 4 bonds were purchased today. How much more did the 4 bonds cost today? (Do not
round intermediate calculations. Round your answer to the nearest cent.)
Increased cost

Answers

Answer:

$100 answers your question

The area of the circle

Answers

Answer:

314 miles

Step-by-step explanation:

Area of circle: 3.14(r^2)

Now lets solve!

3.14(10^2)

3.14(100)

314

Have an amazing day!!!

Please rate and mark brainliest!!

The area of the circle formula --> [tex]\pi r^2[/tex]

[tex]\pi[/tex] ≈ 3.14r: length of radius --> 10 mi

 [tex]Area = \pi r^2=\pi (10mi^2) = (100\pi) mi^2= 314 mi^2[/tex]

Hope that helps!

Find the prime factorization of 495=

Answers

Def. of Prime Factorization: defined as a way of finding the prime factors of a number

[tex]495=3^2*5*11[/tex]

Hope that helped!

Hope it helps 495:5*3*3*11

The perimeter of a rectangular field is 370 yards. If the length of the field is 98 yards, what is its width?

Answers

Answer:

87

Step-by-step explanation:

Total price of all shares algebraically when g shares of stock for w dollars per share is purchased, when shares sold when they earned a 40% capital gain?

Answers

Question:

Zeke bought g shares of stock for w dollars per share. His broker told him to sell when they earn 40% capital gain. Express the total price of all shares algebraically when g shares of stock for w dollars per share is purchased, when shares sold when they earned a 40% capital gain?

Answer:

1.40w

Step-by-step explanation:

WILL GIVE BRAINLY
Triangle ABC is similar to triangle WYZ.


Select all angles whose cosine equals [tex]\frac{3}{5}[/tex]


Question 1 options:


Angle B


Angle Y


Angle Z


Angle C


Angle A


Angle W

Answers

Answer:Angle W and Angle C

Step-by-step explanation:

The angles whose cosine equals 3/5 are <A and <W.

What is Trigonometry?

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

ΔACB and ΔWZY are similar to each other.

Now, Using trigonometry

cosine = Adjacent leg/ Hypotenuse

We have cosine = 3/5

where Adjacent side =3 and Hypotenuse = 5

So, the angle which have Adjacent side 3 in both triangles are

<A and <W.

Learn more about Trigonometry here:

https://brainly.com/question/29002217

#SPJ2

1dasd
2sdasd
2asdas
3adsd
2sadasd
3asdas

2sda
12sdasd
1asda
2asdasd

Answers

Not a question about any mathematics

13,14, and 15 please help it’s math!

Answers

Answer:

13) 80 in sq

14) You can find the area of the bigger rectangle, then subtract it from the area of the unfilled white rectangle.

15) The smallest possible area is 38 inches by contiguously placing the cards, or placing the on the adjacent side of 4 inches.

Step-by-step explanation:

Answer:

13) easy but long way, count all the blue squares

harder way but fast way, multiply length and width of blue box and subtract length*width of white box inside of blue box the answer would be 80

14) basically the harder way but fast way mentioned above

15) the smallest possible perimeter is achieved when you calculate less of the longer side and more of the short side. therefore, lining the pictures with the 4inch side as the length and 5 inch side as the width in a line, it would give you a perimeter of 5+5+4+4+4+4+4+4=34

Step-by-step explanation:

13: remember, these are coordinates and not the actual number.

these are the measurements of the blue box

length, 16-2 = 14

width, 14-4=10

these are the measurements of the white box inside the blue box

length, 14-4 =10

width, 12-6=6

find area of both which comes to 140 and 60. subtract 60 from 140 to get 80

The outer rectangle is 2 feet by 4 feet. There is a semicircle and isosceles triangle within the rectangle. Find the area of the shaded region to the nearest tenth.

Answers

To find the shaded area in an image first calculate the total area of the figure and then subtract the white area from this total.

How to find the area of a shaded area?Determine the total area of the figure, in this case, the are of the rectangle that contains the triangle and the semicircle.Calculate the area of the white region.Substract the non-shaded area to the total area.

How to find out the area of different shapes?Rectangle: side x side =   2 x 4 = 8 square feetIsosceles triangle = 1/2 base x heightSemicirle = 1/2 (π x r^2)

Note: This question is incomplete because the image of the shaded regions is not provided; due to this, the answer is based on general knowledge.

Learn more about triangles in: https://brainly.com/question/2773823

Factor the expression. 4b2 – 9

(2b – 3)(2b – 3)
(2b + 3)(2b + 3)
(3b + 2)(3b – 2)
(2b + 3)(2b – 3)

Answers

Let's do

4b²-9(2b)²-3²

★a²-b²=(a+b)(a-b)

(2b+3)(2b-3)

Hence option D is correct

Answer:

The 4th answer is correct

Step-by-step explanation:

We know that,

( a - b ) ² = ( a + b ) ( a - b )

In the same way, let us solve this sum.

4b² - 9

2²b² - 3²

( 2b - 3 ) ( 2b + 3 )

Therefore, 4th answer is correct.

Find the solution of the system of equations. x-3y= -13
2x+15y=16

Answers

Answer: [tex]x=-7, y=2[/tex]

Step-by-step explanation:

Multiplying the first equation by 2 gives [tex]2x-6y=-26[/tex]

Subtracting this from the second equation yields [tex]21y=42 \longrightarrow y=2[/tex]

Substituting this back into the first equation gives that [tex]x=-7[/tex]

[tex]\therefore x=-7, y=2[/tex]

use a sum or difference formula to simplify the expression Sin (x+π)

Answers

Answer:

- sin (x)

Step-by-step explanation:

Please help me solve this problem​

Answers

Answer:

See below

Step-by-step explanation:

Since all graphs pass throught the origin, they all have the form of:

y = ax², where a- coefficient

The coefficient of each graph's equation can be calculated based on the given pairs of points.

Each of them calculated for you and attached below.

What is the y intercept of the equation-16x^2+64x+80?

Answers

Answer:

  (0, 80)

Step-by-step explanation:

The y-intercept is the value of the function when x=0. For a polynomial in x, setting x=0 effectively eliminates all of the variable terms, leaving only the constant term.

__

The y-intercept is the constant: 80. The coordinates of the y-intercept point reflect the fact that x=0 there: (0, 80).

Simplify the expression. Write the answer using scientific notation.
a) 2.52 × 10–3
b) 2.52 × 10–2
c) 2.52 × 10–1
d) 4.3 × 10–2

Answers

Answer:

b) 2.52 x 10^(-2)

Step-by-step explanation:

0.7 X 3.6 = 2.52

2.52 X 10^(-2)

Select all possible values for x in the equation

Answers

Answer:

x = ∛375

Step-by-step explanation:

This expression can be written in multiple ways:

x³ = 375

x = ∛375

x = 5∛15

Seems like x = ∛375  is the only correct answer choice.

Hope this helps!

gggggggggggggggggggggg

Answers

Answer:

12/25

Step-by-step explanation:

lashonda had 4 fiths of 1 acre of land, and 3/5 of the 4 fiths of land is corn.

If you multply 3/5 by 4/5 you will get you answer: 12/25 or 0.48

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