The diagonal of a square is x units. What is the area of the square in terms of x?

o 1/2x^2 square units

O x^2 square units

2x square units

1/2x square units

Answers

Answer 1

Answer:

1/2(x²) square units

Step-by-step explanation

From the question,

Area of a Square(A) = L²

A = L²................. Equation 1

Where L = Lenght of the square

If the diagonal of the square is x,

Using pythagoras theorem,

a² = b²+c².................. Equation 2

Wherer a = x, b = c= L

Therefore,

x² = L²+L²

x² = 2L²

L² = x²/2

L = √(x²/2)

Substitute the value of L into equation 1

A = [√(x²/2)]²

A = x²/2 square unit.

A = 1/2(x²) square unit.

The right option is 1/2(x²) square units


Related Questions

help in need help and plz dont give me a website plz

Answers

Answer:

u = 7

Step-by-step explanation:

In a parallelogram, GI = GK so:

u + 28 = 5u

4u = 28

u = 7

factorize : 16-(x-3)2​

Answers

Answer:

( 1 + x) ( 7 - x)

Step-by-step explanation:

Here's what I did

16 - ( x - 3)^2....expand this

16 - (x² + 6x + 9).....after exanding

16 - 9 + 6x - x²......like terms together

7 + 6x - x² ......rearrange

-x² + 6x + 7......look for the product, sum and factors

( 1 + x) ( 7 - x)

-28/3 multiplied by -14/3

Answers

Answer:

392/9

Step-by-step explanation:

Answer:

43.55 repeated

Step-by-step explanation:

PLEASE HELP
TIMED!!!
For function Limit of h (x) as x approaches c minus = negative infinity and limit of h (x) as x approaches c plus = infinity. Which statement describes the existence of an asymptote at c?

Answers

Answer:

A. there must be a vertical asymptote at x=c

Step-by-step explanation:

Answer: A

Step-by-step explanation:

got it right edge 2022

I need help one please

Answers

Answer:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Step-by-step explanation:

Factors are numbers multiplied together to make the final product.

1*72=72

2*36=72

3*24=72

4*18=72

6*12=72

8*9=72

Answer:

The factors of 72:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and of course 72

Step-by-step explanation:

Factors are what the number can be divided by equally or what those numbers can be multiplied by to get 72.

Please let me know if this helps!

A television broadcasting company wants to broadcast every game of a large
tournament. The first round of the tournament has 64 games, and each
subsequent round has half as many games as the previous round.
How many total games will the broadcasting company need to broadcast in the
first 5 rounds of the tournament?

Answers

Answer:

124

Step-by-step explanation:

64 • 1/2= 32

32•1/2=16

16•1/2=8

8•1/2=4

64+32+16+8+4

Your answer would be 124, hopefully I could help!

Answer this question to get marked as brainliest!!!!!

Answers

Answer:

h

Step-by-step explanation:

A. Which department gets approximately one-fourth of the annual budget?

B. Approximately what percentage of the budget goes to editorial & sales combined?

Answers

Answer:

A. Sales

B. thirty percent

Look at the expression below: 7 * 11 * 13. How many factors does the product of the expression have?

Answers

Answer:

3 factors.

Step-by-step explanation:

When we have a product of some numbers A, B and C

A*B*C

(here I used 3, but the number does not matter, is just for the example)

To find the number of factors of the product, we first need to find the number of factors for each one of the numbers that is being multiplicated.

Here you need to remember that every integer number can be written as a product of prime numbers.

For example, 15 can be written as:

15 = 2*3*5

So the number 15 has 3 factors.

In the case of prime numbers, like 7, we have:

7 = 7

So 7 has only one factor in its decomposition.

In our case, our numbers are:

7, 11, and 13.

We can see that the 3 numbers are prime numbers.

Then each number has only one factor in its decomposition.

Then we have 3 factors in the multiplication, it is:

7*11*13

what is a/b if a-b=2

Answers

Answer:

Step-by-step explanation:

2+b/ b pretend this is a fraction

GIVING BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 27pts-

Answers

Answer:

22π in.

Step-by-step explanation:

circumference: 2 × π × r

=> 2 × π × 11 = 22π

which angle pair is a pair of corresponding angles?

Answers

Answer:

B - ∠b and ∠f

Step-by-step explanation:

Corresponding angles are the angles in matching corners of the intersections in the traversal. Since ∠b and ∠f are in the same position relative to the intersection, they are corresponding.

1. Cole bought a snowmobile for $600. He spent $430 on parts to fix it, then sold it for
$1,100.

a. What was his profit?

b. If he spent 8 hours fixing it, how much money did he make per hour?

Answers

Answer:

70$ profit

8.75 per hour

Step-by-step explanation:

Ole's profit was $70 and Ole made $8.75 per hour fixing and selling the snowmobile.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

To find the profit, we need to subtract the total cost of buying and fixing the snowmobile from the amount he sold it for:

Profit = Selling Price - Total Cost

Total Cost = Purchase Price + Cost of Parts

Total Cost = $600 + $430 = $1030

Profit = $1100 - $1030 = $70

Therefore, Ole's profit was $70.

b. To find the money Ole made per hour, we need to know how much time he spent fixing the snowmobile.

He spent 8 hours fixing it, so his hourly rate would be:

Hourly Rate = Profit / Time

Hourly Rate = $70 / 8 hours

Hourly Rate = $8.75 per hour

Therefore, Ole made $8.75 per hour fixing and selling the snowmobile.

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ2

Can anyone help please

Answers

This the answer. Look at the picture for the answer.

Yo pls help me out, the question is on the picture.
ill mark brainliest if its correct. NO LINKS!

Answers

Answer:

13

Step-by-step explanation:

It would have to be 13, because if you look at the top of the shape, you see the little 45 degrees. You can also see the 90 degrees right angle. Triangles no matter what add up to 180 degrees.

(a is the unknown angle in the bottom right)

90+45+a=180

45+a=90

a=45

now that we have that , we know that it has to be symmetrical.

so it can only be 13

hope this helps!

what expression is a factor of 18x²-15x+2

Answers

Answer:

Your answer is (6x−1)(3x−2)

Step-by-step explanation:

5x + 3 < -7
you have to show work

Answers

Answer:

gev5y

Step-by-step explanation:

Answer:

x<-2

Step-by-step explanation:

5x + 3 < -7

5x  < -7-3

5x<-10

x<-10/5

x<-2

what is the value of f(x)=(1)/(4)*2^(x)

Answers

Answer:

y=1/4(2x)

Step-by-step explanation:

Pleaseeeee help ill give brainliest answer if you knowww don’t answer if u don’t know and please don’t try and give me a virussss

Answers

Answer:

for the first one. mean = 39 median = 39.5 mode = 34 and range = 44

second one mean = 32.2 median =33 mode unsure range = 29

third one meam = 48 median = 44.5 mode = 24 range = 62

fourth one mean = 27 median = 23 mode = 23 and range = 11

Step-by-step explanation:

hope this helps

A man sells 8 articles for Rs. 7360 and makes a profit of
15%. Find the gain or loss percent if he sells 13 such
articles for Rs. 11440.
(Ans: 10% gain)​

Answers

Answer:

SP of 8 articles =Rs 7360

Profit=15%

Now,

SP of each article =7360/8= Rs920

Wkt,

SP=CP+profit (let CP=x)

920=x+15%of CP

920=x+15÷100× x

920=x+15x÷100

920=(100x+15x)÷100

920=115x÷100

92000=115x

92000÷115=x

Therefore, x=Rs 800

CP=800(i.e Cost price of one article)

Again,

SP of 13 articles=Rs 11440

SP of 1 article=11440÷13=Rs 880

Since,SP>CP

Profit!

Profit=SP-CP

=880-800

=Rs 80

Profit%=profit÷CP×100%

=80÷800×100

=10%

Kathy earns $445 a week for 40 hours of work and $25 an hour for each hour over 40. How many hours did Kathy work if she earned $570 in one week?​

Answers

Answer:

45 hours

Step-by-step explanation:

you subtract the standard price from the increased price which is 570.

you get 125 and divide by the amount of money added per hour then you get five

add that 5 to the standard hours per week

40 + 5=45

Estimate the sum 7.36 + 9.47​

Answers

Answer:

16.83

Step-by-step explanation:

7.36

+ 9.47

----------

16.83

Suppose f(x)=x^2 what is the graph of g(x)=f(2x)

Answers

Answer:  

The graph is attached.  

Step-by-step explanation:

Since g(x) = f(2x), this means we substitute 2x in place of x for f(x):

g(x) = f(2x) = (2x)² = 4x²

Graphing this, the parabola is not moved from the parent graph f(x) = x², but the graph is compressed horizontally by a factor of 4.

find the solution of given expression

[tex] \sqrt{6 \times 216} [/tex]

Answers

Answer:

[tex]\sqrt{6\cdot \:216}=\sqrt{1296}[/tex]

[tex]=\sqrt{36^2}=36[/tex]

PWEASE HELP ME PLEASE PLEASE PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

55ft

Step-by-step explanation:

55 hope it helps!!!
....

The equation of the line shown in the graph is y = ?.

Answers

Answer:

y=1/5x-5

Step-by-step explanation:

so we get the y-intercept and just do rise/run

2. In which set of ordered pairs is y a function of x?
A. {(1, 3), (2, 3), (3, 3), (4,3)}
B. {(0, 2), (2, 5), (0, 4), (1,5)}
c. {(1, 5), (2, 6), (4,8), (1,4)}
D. {(1, 3), (2, 5), (2, 7), (3,5)}

Answers

Answer:

c. although set a, is a proper function, with y being the function of x, c is the answer.

1 of 5
Work out m and c for the line:
y - 2x = -3
m =
C =
Please help

Answers

Answer:

m = 2, c = - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y - 2x = - 3 ( add 2x to both sides )

y = 2x - 3 ← in slope- intercept form

with slope m = 2 and y- intercept c = - 3

what is the circumference of circle if the diameter is 21

Answers

Answer:

The circumference is 66cm

Radius = Diameter/2

= 21/2 CM

= 10.5 CM

Circumference of a circle = 2πr

= 2 × 22/7 × 10.5 CM

if The ratio of boys to girls in the class was 3 to 2 If there were 12 girls, how many boys were there?

Answers

Answer:

18 boys and 12 girls

Step-by-step explanation:

they multiplied the girls by 6 so u do the same for the boys and get 18

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