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

What is the measure of the angle x?

Answers

Answer:

40

Step-by-step explanation:

angle AOB= 2x=80

x=80/2

x=40

Hi! Just wondering if you could check if i got this right?

Answers

Answer:

Step-by-step explanation:

the answer is x = 24

3/4x+4=22

3x/4+4=22

3x/4+4=22

3x/4+4x4/4=22

3x/4+4x4/4=22

3x+4x4/4=22

x=24

Is 24 because is 3/4x 4 =22

HI I am 10 years old and I need help with my math homework, here's what I need help with:




Pls help me it is do today

Answers

Answer:

1   1/4

Step-by-step explanation:

Answer:

5/4 or 1 1/4

Step-by-step explanation:

1 3/4 - 2/4 = 1 1/4 or 5/4

V
Find the angle between v=i+2j+3k and w=4i-k.
:2
.

Answers

Answer:

86.28 degrees

Step-by-step explanation:

Angle between vectors is

[tex] \cos(x) = \frac{cross \: product}{magnitudes \: multiplied} [/tex]

The cross product is

[tex]4 + 0 - 3 = 1[/tex]

The magnitudes of first vector is

[tex] \sqrt{1 {}^{2} + 2 {}^{2} + 3 {}^{2} } = \sqrt{14} [/tex]

The second vector magnitude is

[tex] \sqrt{17} [/tex]

So the magnitudes multiplied is

[tex] \sqrt{14} \times \sqrt{17} = \sqrt{238} [/tex]

So our equation will be

[tex] \cos(x) = \frac{1}{ \sqrt{238} } [/tex]

[tex]x = \cos {}^{ - 1} ( \frac{1}{ \sqrt{238} } ) [/tex]

X is about 86.28 degrees

Create a table, chart, or diagram that you can use to help you decide which hypothesis test you need to use (selecting from: population proportion, a population mean, two proportions from independent samples, two means from dependent samples, and two means from independent samples). Explain your table, chart, or diagram so that someone new to statistics could use it to select the appropriate hypothesis test.

Answers

A hypothesis testing is a statistical inference that uses data from a sample to draw conclusions.

What is hypothesis testing?

It should be noted that hypothesis testing simply means a statistical act where an assumption is made regarding a parameter.

In this case, a hypothesis testing is a statistical inference that uses data from a sample to draw conclusions. The null hypothesis predicts no effect while the alternative hypothesis states the research predictions.

Learn more about hypothesis on:

https://brainly.com/question/11555274

If a hypothesis is not rejected at the 5% level of significance, it a. will always be rejected at the 1% level b. will also not be rejected at the 1% level c. will sometimes be rejected at the 0.1% level d. will sometimes be rejected at the 1% level

Answers

Considering the p-value of the test, the correct option is:

b. will also not be rejected at the 1% level.

How do we reach the decision to reject or not reject the null hypothesis?

It depends on the p-value of the test, as follows:

If the p-value is greater than the significance level, we do not reject the null hypothesis.If it is less than the significance level, we reject the null hypothesis.

In this problem, the hypothesis is not rejected at the 5% level of significance, hence the p-value is greater than 0.05, which means that it will not be rejected at any level below 5% and option b is correct.

More can be learned about hypothesis tests at https://brainly.com/question/26454209

Solve the following quadratic equation by factorin
x - 12x + 35 = 0
2
x? -
The solution set is {}.
(Simplify your answer. Type each solution only

Answers

Answer:

(x - 5)(x - 7x)

Step-by-step explanation:

x - 12x + 35 = 0

x - 12x + 35 = 0

x - 5x - 7x + 35= 0

x ( x - 5) -7x(x + 5)

(x - 5)(x - 7x)

please help me.. no links pls​

Answers

Answer:27

Step-by-step explanation:

Its pretty simple. Perimeter is the addition of all the sides. Add 4+9+8+6 to get 27.

plsss help ill give briliantest ​

Answers

Answer:

The answer is 310

Step-by-step explanation:

Example of distributive property of division

The 1,860 is broken down into 1800 & 60

1800 divided by 6            +               60 divided by 6

1800 divided by 6 = 300        +         60 divided by 6  = 10

300 + 10 = 310

The value of a car decreases linearly with time. The car was bought new for $62,000 and had a value of $41,000 after 6 years.

Answers

62000-41000=21000
21000/6=3500
3500= 5.64516129% of 62000

The function f is given in three equivalent forms. Which form most quickly reveals the zeros (or "roots") of the function?
A) f(x) = 1/2x^2-5x+21/2
B) f(x) = 1/2(x-3)(x-7)
C) f(x) = 1/2(x-5)^2-2
Write one of the zeroes
pls help im sorry this looks so messy

Answers

B.f(x)=1/2(x-3)(x-7) is your answer
The roots are 3 and 7

I need help please due in 10 min

Answers

Answer:

Step 1. Plot x and y-intercepts

Step 2. Draw a line through the points

y = -1/2x - 2

m, rise over run = -1/2

b, y-intercept = (0, -2)

x-intercept = (-4, 0)

y = -1/3x - 4

m, rise over run = -1/3

b, y-intercept = (0, -4)

x-intercept = (-12, 0)

Hope this helps! Good luck!

3) Write the inequality that
represents "owing $26.00 is
better than owing $147.00.”
6.NS.7b

Answers

Answer:

See below

Step-by-step explanation:

Owing represent a negative balance.

So the inequality for this case is:

- 26.00 > - 147.00

The word owing is given which simply denotes to negative transaction

So here the inequality is

-26.00>-147.00

Or

-147.00<-26.00

From a barrel of colored marbles you randomly select 7 blue, 5 yellow, 8 red, 4 green, and 6 purple marbles. Find the experimental probability of randomly selecting a marble that is NOT yellow. Write your answer in simplest form.

Answers

Answer:

5/6

Step-by-step explanation:

In total there are 7+5+8+4+6=30 marbles. you need to take out the yellow marbles that you counted into the total of 30 marbles which would be 25 marble. this means that there are 25 out of 30 marble you can select that is not yellow. which gives you the probability of 25/30 simplify it to get 5/6

What isbthe next number 324,256,196,144

Answers

324,256,196,144
To get the next number You add “1”
Therefore,
Next number = 324,256,196,144 + 1

Next number = 324,256,196,145

An urn contains n balls, one of which one is special. If k of these balls are withdrawn one at a time, with each selection being equally likely to be any of the balls that remain at the time, what is the probability that the special ball is chosen

Answers

Using it's concept, it is found that the probability that the special ball is chosen is given by:

[tex]p = \frac{1}{C_{n,k}}[/tex]

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The total number of outcomes is given by the combination of k balls from the set of n balls, given by:

[tex]C_{n,k} = \frac{n!}{k!(n - k)!}[/tex]

One ball is special, hence the probability the special ball is chosen is given by:

[tex]p = \frac{1}{C_{n,k}}[/tex]

More can be learned about probabilities at https://brainly.com/question/14398287

You are the head seamstress at a boutique that specializes in making prom dresses. You are supervising the construction of a new style of dress that will take 180 hours of work to complete. Twenty percent of this time is for beading. Thirty-five percent of this time is for adding ruffles. The remaining time is divided equally between embroidery and sewing. When pricing this style, hourly labor and material costs are $40 for beading, $35 for ruffles, $20 for embroidery, and $18 for sewing. The dress is then sold in the showroom for 25% more than the cost of labor and materials. How much will this dress sell for in the boutique?

Answers

The amount at which the dress will sell for in the boutique is $6716.25.

What is the sellig price of the dress?

The total cost of beading = 180 x 25% x $40 = $1800

The total cost of ruffles = 35% x 180 x $35 = 2205

Time left for making embroidery and sewing = (100% - 35% - 25%)/2 = 20%

The total cost of embroidery = 20% x 180 x $20 = $720

The total cost of sewing = 20% x 180 x $18 = $648

Total cost = 5373

Selling price = 1.25 x 5373 = $6716.25

To learn more about percentages, please check: https://brainly.com/question/25764815

Select one: A. 31.7 percent complete. B. 32.5 percent complete. C. 25.0 percent complete. D. 15.0 percent complete.

Answers

Can you please provide the question that goes with the answers? There can be no answer if there isn't a question

I NEED HELP ASAP!!!!!

Answers

1= polynomial
2= not polynomial
3= polynomial
4= polynomial
5= not polynomial
6= polynomial

The body temperature of adults are normally distributed with a mean of 98.6 f and a standard deviation of 0.71f what temperature represents the 95th percentile ?

Answers

it’sa tbh dbheir f the t. t t t d d b. gbfndndn d dndnd. d dnd. f d

Pls answerrrrrrrrrrrrrrrrrrrrrr

Answers

Answer:

13

Step-by-step explanation:

the two lines with y in them are the same length

6y = y+65

5y = 65

y = 13

If Jyoti has 266 followers in 160 post's so how much followers should he gain in 1 post​

Answers

Step-by-step explanation:

160 posts = 266 followers

then,

1 posts = 266/160

= 2.50 followers

Raphael buys one raffle ticket.
a total of 250 raffle tickets are sold.
One of these tickets will win the raffle.
Each ticket has an equal chance of winning the raffle.
(a) Write down the probability that Raphael's ticket will win the raffle
(b) Write down the probability that Raphael's ticket will not win the raffle

Answers

Answer:

There is a 1/250 chance that his ticket will be chosen

There is a 249/250 chance that his ticket will not be chosen

Step-by-step explanation:

Hope that helps!

42.
If y = x2, then y' – 2x =
A.
2x
B.
4x
C.
00
D.
01

Answers

Answer:

C. 00

Step-by-step explanation:

Using power rule....

y = x²

y' = 2x        

Solving for y' - 2x......

y' - 2x

2x - 2x

0

I hope this helps!

A credit card had an APR of 25.67% all of last year and compounded interest daily. What was the credit card's effective interest rate last year?

a
28.25%
b
29.25%
c
28.92%
d
27.32%

Answers

Answer:

The answer is 29.25%.

Step-by-step explanation:

I think it is B
Hope this is right!!!

The length of the longer leg of a right triangle is 13 m more than three times the length of the shorter leg. The length of the hypotenuse is 14 m more than three times the length of the shorter leg. Find the side lengths of the triangle. Length of the shorter leg: 0 m Length of the longer leg: in Length of the hypotenuse:​

Answers

Answer:17

Step-by-step explanation:

100 points pls help ty

Answers

Answer:

Sam is right, 9 is the max number of pull-ups done by a player.

Because it shows that there were 2 players that did 9.

(i’m assuming the x’s represent the players)

Answer:

Answer

Answer:

Sam is right, 9 is the max number of pull-ups done by a player.

Because it shows that there were 2 players that did 9.

Step-by-step explanation:

Which figure is not a prism?
Α.
B.
С.
D.

Answers

D is the answer
D is not a prism because it is a cylinder - A and C are rectangular prisms and B is a triangular prism

Answer:

D

Step-by-step explanation:

Prisms all have flat sides. The last image has curved sides so it is a cylinder and not a prism.

5
Type the correct answer in the box. Use numerals instead of words.
New York City has a population of approximately 8.8 million people with a population density of approximately 29,300 people per square mi
What is the approximate area of New York City to the nearest square mile?
The area of New York City is approximately
square miles.

Answers

Answer:

300 square miles (nearest square mile).

Step-by-step explanation:

Population Density formula

[tex]\sf Population\;Density=\dfrac{Number\;of\;People}{Land\;Area}[/tex]

Given values:

Total population = 8,800,000 people.Population density = 29,300 per square mile.

Substitute the given values into the formula and solve for land area:

[tex]\implies \sf 29300=\dfrac{8800000}{Land\;Area}[/tex]

[tex]\implies \sf Land\;Area=\dfrac{8800000}{29300}[/tex]

[tex]\implies \sf Land\:Area=300.3412969...square\;miles[/tex]

Therefore, the approximate area of New York City is 300 square miles (nearest square mile).

Answer: 300

Step-by-step explanation: ANSWER ON EDMENTUM/PLUTO

PLEASE HELP PYTHAGOREAN THEOREM

Answers

Answer:

[tex]\sqrt{193}\\[/tex]

Step-by-step explanation:

Therom: A^2+B^2=C^2

12^2=144

7^2=49

144+49=193

√193 since we squared 12 and 7

Hope this helps you and please mark me brainliest!

12^2+7^2=x^2
144+49=x^2
193=x^2
x=13.89
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