What is the area of a square if the half of the diagonal is 6

Answers

Answer 1

Answer:

72

Step-by-step explanation:

Cut the square into two equal triangles along the diagonal

You know that half of the diagonal is 6 so multiply that by 2 to get 12 which is the hypotenuse of your triangles

Then use the pythagorean theorem to solve for the sides

a^2 + b^2 = 12^2

a^2 + b^2 = 144

Since the original shape was a square both sides a and b are equal

a^2 = b^2

a^2 + a^2 = 144

2a^2 = 144

a^2 = 144/2

a^2 = 72

a = [tex]\sqrt{72}[/tex]

Since a = b then a = [tex]\sqrt{72}[/tex] =b

Multiply both sides a and b to get the area of the square

[tex]\sqrt{72}[/tex] * [tex]\sqrt{72}[/tex] = 72


Related Questions

Hey, I have some algebra questions, I need to complete for tomorrow. One of them is: Simplify 4a + 12a. ​

Answers

Answer:

16a

Step-by-step explanation:

4a+12a=16a since they are the same variables.

Use the drawing tool(s) to form the correct answers on the provided graph. In the given equation, y is a function of x. Graph the function in the coordinate plane. Use the Mark Feature tool to indicate the x- and y-intercepts of the function.

Answers

Answer:

Here is the graph of y is a function of x.

Write the following rate as a simplified fraction 76 dogs to 48 cat​

Answers

Answer:

Do u mean like 19/12

Step-by-step explanation:

Like 76/48 it will be 19/12

Hope I helped u!!

19/12 is the fraction which is represented by rate of 76 dogs to 48 cat​.

To write the given rate, "76 dogs to 48 cats," as a simplified fraction, you need to express the number of dogs as the numerator and the number of cats as the denominator.

Therefore, the simplified fraction is:

76/48

To simplify this fraction, you can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 4:

(76 ÷ 4) / (48 ÷ 4)

= 19/12

Hence, 19/12 is the fraction which is represented by rate of 76 dogs to 48 cat​.

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A section of a deck is shaped like a trapezoid. For this section, the length of one base is 31 feet, and the length of the other base is 24 feet. The height is 14 feet. What is the area of this section of the deck?

Answers

Area of a trapezoid= (big base+small base)/2 x height

A=(67+54)/2 x 18

A=60.5 x 18

A=1089

Given: m∠AKB = 25°
KO = 25

Find: V, Surface Area of of a cone

Please leave answers in term of Pi

Answers

Answer:

V = 255.98189 pi

SA = 172.64114π

Step-by-step explanation:

The first thing to do is find the radius.

the measure of angle AKO = 1/2 the measure of angle AKB

m< AKO = 12.5 degrees

Now use trig to find AO (aka the radius)

tan(12.5) = AO/25

AO = 25* tan(12.5)

I'm leaving it like this to get a more accurate number

Now to find the volume

the volume of a cone is pir^2h/3

plugging everything in we get:

pi(25*tan(12.5))^2 * 25/3

which is about 255.98189 pi

Now for surface area

(this is the moment I realize symbols exist)

SA = πr(r+√h²+r²)

plugging everything in we have

π(25tan(12.5))((25tan(12.5)+√625+(25tan(12.5))^2)

I know it looks like a lot but that's mainly because I left the radius as 25tan(12.5)

The Surface Area is about 172.64114π

A bug ran along the number line from -5 to 23. What distance did it cover? If the whole run took the bug 4 minutes, what was its average speed?

Answers

Answer:

28 units and 7 units per minute.

Step-by-step explanation:

So if it's a negative number like -5 with a positive number, you have to add.

It would be like ( 5 + 23 ) = 28.

Since it took the bug 4 minutes, divide 28 ÷ 4.

28 ÷ 4 is 7 units per minute.

Sorry if it's wrong...

Help please as soon as possible please and thank you :)

Answers

Answer:

A=[tex]\pi[/tex]r²

A=[tex]\pi[/tex]100

A=314.159

2 slices = 1/4

1/4x314.159=78.5399 centimters squared.

Paragraph:

    Firstly, the question has an error.  It says that the personal pan pizza is 80 cm³.  It should be cm², since it’s area and not volume. You have to figure out the area of the 20 inch pizza using A=[tex]\pi[/tex]r².  Since the diameter is 20, the radius is 10, and the area ends up being 314.159.  Two slices is 1/4 of the diameter, or 0.25.  Multiply 314.159x0.25, and. You get 78.5399 square centimeters.  This is just under the 80 that he is allowing himself, so he has made the correct choice.

Step-by-step explanation:

A=[tex]\pi[/tex]r²

A=[tex]\pi[/tex]100

A=314.159

2 slices = 1/4

1/4x314.159=78.5399 centimters squared.

Paragraph:

    Firstly, the question has an error.  It says that the personal pan pizza is 80 cm³.  It should be cm², since it’s area and not volume. You have to figure out the area of the 20 inch pizza using A=[tex]\pi[/tex]r².  Since the diameter is 20, the radius is 10, and the area ends up being 314.159.  Two slices is 1/4 of the diameter, or 0.25.  Multiply 314.159x0.25, and. You get 78.5399 square centimeters.  This is just under the 80 that he is allowing himself, so he has made the correct choice.

2
Which equation best describes the graph? Please don’t just put anything down for points
8
6
2
-2
2
6
8
-2
1
6
-
A y = 3x + 2
C y = -3x + 2
B
D
ly= 3x + 2
y =
= -x + Ź

Answers

Answer:

C

Step-by-step explanation:

M is the centroid of the triangle.
CM=7, PM=10, & BQ=18
M
AM=[?]
Is it 6?

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Juanita's rectangle measures 3 1/2 units by 2 1/3 units. what is the area​

Answers

Answer:

8 and 1/6 units²

Step-by-step explanation:

Find the measurement of angle X

A) 91°
C) 1360
B) 1050
D) 100°

Answers

Answer:

I think its B or C

Step-by-step explanation:

Help please! And can you show step by step work

Answers

Answer:

2.1134 liters

Step-by-step explanation:

There are 4 quarts in a gallon and each quart is 1.0567 liters. 2 quarts are 1/2 a gallon. 1.0567*2=2.1134

9514 1404 393

Answer:

  2.  1.8927 L

  3.  603.22 cm²

Step-by-step explanation:

To convert units, multiply by a ratio whose value is 1. That is, the numerator and denominator are equal amounts, but have units that cancel ones you don't want and give you units you do want.

2.

  [tex]\displaystyle \frac{1}{2}\text{ gal}\times\frac{4\text{ qt}}{1\text{ gal}}\times\frac{1\text{ L}}{1.0567\text{ qt}}=\frac{4}{2\times1.0567}\text{ L}\approx\boxed{1.8927\text{ L}}[/tex]

__

3.

  [tex]A=LW=(8.5\text{ in})(11\text{ in})\times\left(\dfrac{2.54\text{ cm}}{1\text{ in}}\right)^2=\boxed{603.2246\text{ cm}^2}[/tex]

_____

Additional comment

It can be helpful to remember that a liter is larger than a quart. So 2 quarts will be less than 2 liters. (You may recall reading on the half-gallon container that it holds 1.89 L.)

What is the answer, 15 points
9-3 ÷ 1/3+1=

Answers

Answer:

i think the answer to this is 9

Answer:

1

Step-by-step explanation:

The answer is just one bro

What the geometric mean of 4 and 8​

Answers

The answer is 4....

Find the AC
47in
14in
26in
7in

Answers

Answer: need more of an explanation

Step-by-step explanation:

Answer:

26 in.

Step-by-step explanation:

Since angles A and C are congruent, sides BC and BA are congruent.

7x - 13 = x + 29

6x = 42

x = 7

AC = 3x + 5

AC = 3(7) + 5

AC = 21 + 5

AC = 26

Answer: 26 in.

Please help I’m struggling

Answers

Answer:

y=3x+19

Step-by-step explanation:

x=3

(-4,7)(x,y)

y-7/x_-4=3

y-7=3(x+4)

y=3x+12+7

y=3x+19

Step-by-step explanation:

here you have the answer

- Max can read about 150 words per minute. Unfortunately for Max, he has waited until
this weekend to do all his reading. The book he has to read is 310 pages long. If a typical
paperback has about 350 words per page, how many hours should he set aside for this
reading?
A. 12 days
B. 12 hours
C. 72.3 days
D. 610 hours

Answers

Answer:

B) 12 hours

Explanation

Max can read 150 words per minute. 350 words per page divided by 150 is 2.333, so max can read 1 page in around 2 minutes. There are 310 pages. 2.333 * 310 is around 723. 723 minutes converted to hours is 12 hours. Boom. Done.

Select the correct answer.
What is the value of g(-4)?

Answers

Answer:

C. 1

Step-by-step explanation:

Use the first one since it is -4 so [tex]\sqrt[3]{-4+5} = \sqrt[3]{1} = 1[/tex]

Answer:

c.   1

Step-by-step explanation:

Which equation describes the asymptote of the exponential function represented by this graph?

A. Y= 3
B. Y= -3
C. X= -3
D. X= 3

Answers

Y= 3

Just did my test and got it correct

The correct equation describes the asymptote of the exponential function represented by this graph is,

⇒ y = 3

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Since, The exponential function of the type,

⇒ y = a (bˣ) + c

Which has the horizontal asymptote at y = c.

Hence, From the given graph, we can see that as x tends to positive infinity, Thus, the curve tends to;

⇒ y = 3

Thus, The correct equation describes the asymptote of the exponential function represented by this graph is,

⇒ y = 3

Learn more about the mathematical expression visit:

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what is the value of X in log 2 (x)-3=1

Answers

If log2 (x-3) =1

It means that:
2^1 = x-3
2=x-3 |+3 to both sides
2+3=x
x=5
x=2
If i did it right.
2x2=4
4-3=1

x3+43-12x2+x30 (x-6) (x+2)


solve it.

Answers

The answer would be 94

Sam buys
2 boxes of eggs costing £1.30 each
1 bottle of juice costing £2.60
3 baguettes
He pays with a £10 note and gets a 90p change.
Sam works out the cost of one baguette as £1.70

Is he correct?

You must show your working out.

Answers

Answer:

He is wrong

Step-by-step explanation:

£1.30(cost of 1 egg box) x 2=£2.60

2.60(2 egg boxes)+2.60(price of juice)=£5.20(amount spent without baguettes)

10-5.20(amount spent without baguettes)=£4.80

4.80/3=£1.60

£1.60=cost of one baguette

Sam is wrong as the cost of one baguette is £1.60

This is Adeles solution for the equation x^2+8x- 9 = 0 Step 1 x^2 +8x = 9 Step 2 x^2 +8x + 16 = 9 + 16 Step 3 ( x + 4 ) ^2 = 25 Step 4 x + 4 = 25 or x + 4 = - 25 Step 5 x = 21 or x = - 29. Where did Adele make her mistake? What are the solutions to this equation? Show all of your work. 2. Which would be the best method to use to solve the following equation. Explain your reasoning. A x^2 - 49 = 0 B. x^2 - 3x - 4 = 0 C. x^2 - 2x - 6 = 0 ​

Answers

Answer:

Adeles forgot to square root 25 in step 4 therefore the solutions would be 1 and -9

Step-by-step explanation:

Equation : x² + 8x - 9 = 0

Step 1 : x² + 8x = 9

Step 2 :  x² + 8x + 16 = 9 + 16

Step 3 :  ( x + 4 )² = 25

Step 4 :  x + 4 = 25 or x + 4 = - 25

Step 5 :  x = 21 or x = - 29.

help with math please:)))))

Answers

Answer:

63 un²

Step-by-step explanation

Formula for Triangle = 1/2(b*h)

------------------------------------------------------------

Lets input our numbers

b(base) = 21

h(height) = 6

------------------------------------------------------------

Lets multiply

1/2(6 x 21) =

1/2(126) = 63

Now add the units

63 un²

The table represents a linear function

Answers

Answer:

the answer is: False

Find the value of x

Please help

Answers

Answer:

128 degrees

Step-by-step explanation:

360-90-90-52=128

What is the area, in sqaure feet, if the rectangle shown below?​

Answers

Answer:

D. 32 6/20

Step-by-step explanation:

6 4/5 ×4 3/4

=  

34/5× 19/4

=  

34× 19

5      4

=  

646

20

=  

646 ÷ 2

20 ÷ 2

=  

323

10

=  

32 3/10- which then is equal to 32 6/20 (If we multiply 3/10 by 2 we get 6/20)

which is the best estimate of 2/5 + 1/7?

Answers

Answer:

2 / 35

Step-by-step explanation:

PLEASE HELP ME........​

Answers

Answer:

d

Step-by-step explanation:

Someone help me with these two questions yuh 20 points

Answers

So basically you have to do this:

Answer:

option b is your answer. look it once

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1. Lynn is tracking the progress of her plant's growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day. A. Find an equation that represents the plants height after any given number of days. B. How tall is the plant after 9 days? Meredith invests $18,200 in an account that earns3.25% simple interest. What will the balance inMeredith's account be after 15 years? How many days we've in a leap year?? x is greater than or equal to -1 and less than or equal to 4Use x only once in your inequality. A spinner for a game has 5 equal sections labeled 1-5. why is the probability of spinning a 1 or a 4? The worst feeling is when you are hurting so badly inside but not a single tear comes out.Anyone relate? I know i can. the soviet government made_____aprioritya)environmental controls b)small farms and road buildingc)heavy industry d)all of the above If you squeeze a sealed bottle in the middle, what force is applied at the top of the bottle? A) less forceB) more force C) the same force D) cannot be predicted help whats the total lol im confused one platter has 6 veggie wraps, 12 turkey wraps and costs 64.50 another platter has 8 veggie wraps 8 turkey wraps and costs $56Which system of equations represents the situation if x represents the cost of a veggie wrap and y represents the cost of a turkey wrap?A.12x + 6y = 568x + 8y = 64.50B.6x + 12y = 64.508x + 8y = 56C.x + 2y = 64.50x + y = 56D.6x = 64.508y = 56 What is the radius and diameter of the following circle?7 cmRadiuscmDiameter =cm What is the central idea of the passage? Plz help (10 pts) HELPP!!!What do aquatic organisms need to breathe?A. dissolved nitrogenB. dissolved oxygenC. dissolved argonD. dissolved carbon A tank can hold a maximum of 400 gallons of water. The volume of water when pumping water into the tank can be determined by the function f (m) = 12.5m + 25 where m is the number of minutes that the pump is running and f(m) is the volume of gallons of water in the tank. If the tank must maintain a minimum of 25 gallons of water, which inequality represents the domain of this situation?(Hint: The variable f(m) is like "y" and m is like "x")0 < m < 40030 < m < 40025 < m < 4000 < m < 30 Find the surface area, given that the area of each hexagon is 166 square feet. Which of the demand shifters is illustrated by a new apartment building being built in an area?A. Changes in the number of consumersB. Changes in complementsC. Changes in consumer expectations D. Changes in consumer income how many atoms are in 1.6g C? Answer in units of atoms. (no answer choices were given) My birthday is Febuary 9th, how do i write that in a 4 digit code Choose all of the lines from the passage that express the theme of the false allure of war.From his home his youthful eyes had looked upon the war in his own country with distrust.Tales of great movements shook the land.His busy mind had drawn for him large pictures extravagant in color, lurid with breathless deeds.Almost every day the newspaper printed accounts of a decisive victory.This voice of the people rejoicing in the night had made him shiver in a prolonged ecstasy of excitement.Later, he had gone down to his mother's room and had spoken thus: "Ma, I'm going to enlist." 2^5*2^negative 3 simplify