The side length of a square is (8 - square root 10) inches long. Find the area of the square. Write your answer in simplest radical form.

Answers

Answer 1

Answer:

74-16 square root 10

Step-by-step explanation:

area = (length)^2

= (8- square root 10)^2

= 64- 16 square root 10 + 10

=74-16 square root 10

Answer 2

The area of the square is  [tex]74-16\sqrt{10}[/tex] inches².

Area of square

Let x be the length of square

then area = x²

How to find the square area?

Given the side length of a square is [tex]8-\sqrt{10}[/tex]  inches.

then the area of the square is [tex](8-\sqrt{10} )^{2}[/tex]

therefore,

[tex](8-\sqrt{10} )^{2}= 8^2+(\sqrt{10})^2-2(8)(\sqrt{10})[/tex]

                 [tex]=64+10-16\sqrt{10}[/tex]

                 [tex]=74-16\sqrt{10}[/tex]

Hence the area is [tex]74-16\sqrt{10}[/tex]  inches².

Learn more about area of the square here- brainly.com/question/25092270

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Related Questions

Which choice is equivalent to the expression shown?

2(x+4)6 + 13
Question options:

A. x3+33

B. 2x9+59

C. 2x9+99

D. x3+53

Answers

Answer:

b

Step-by-step explanation:

Esmeralda Hasn't backed it in the shape of the screw is side of the magnet to 3 inches on what is the perimeter of her magnet

Answers

Answer:

12 INCHES

Step-by-step explanation:

Esmeralda has as magnet in the shape of a square each side is 3 inches long what is the perimeter?

A square is a quadrilateral with four equal sides.

Characteristics of a square includes:

• The diagonals bisect each other at 90°.

• Opposite sides parallel and of equal length

• The four angles of a square are equal.

perimeter of a square = 4 x length

4 x 3 = 12 inches

Representa en los mismos ejes de coordenadas, con colores distintos, las rectas r: y = 2x y s: y = 2x + 1.

Answers

Answer:

La gráfica con la rectas citadas se encuentran contenidas en la imagen adjunta.

Step-by-step explanation:

Dado que las rectas [tex]r[/tex] y [tex]s[/tex] son polinomios de primer orden, basta con conocer dos puntos distintos de cada una:

Recta r

[tex]A(x,y) = (0, 0)[/tex], [tex]B(x,y) = (1, 2)[/tex]

Recta s

[tex]C(x,y) = (0, 1)[/tex], [tex]D(x,y) = (1, 3)[/tex]

A continuación, ubicamos los puntos en un plano cartesiano y trazamos las rectas respectivas:

danayia has some candy ms.miller gaver her 5 pieces of candy in addition to what she already had. ms.naltner doubled the amount of candy she had. danayia then had 20 pieces of candy.how much candy did danayia start with?

Answers

Answer:

She started with 15

PLZZZZ HELPPPPPPPPPPPPPPPPPPP ASAPPPPPPP

Answers

Answer:

D. 15π

Step-by-step explanation:

Circumference is equal to diameter times pi,

so C = 15π

10. Tamara wants to find the height of a tree outside her home. Using her clinometer, she measures the slope angle from 8 feet away from the base of the tree and gets an angle of 40o . If Tamara's eye level is 5 feet above the ground, how tall is the tree (rounded to the nearest tenth of a foot)? Show your work.

Answers

Answer:

11.7 ft

Step-by-step explanation:

Remember the notation SOHCAHTOA

We would be using tan because we have been given the adjacent and we are to determine the opposite value

tan 40 = opposite / adjacent

0.8391 = opposite / 8

opposite = 0.8391 x 8

6.7

Tamera is 5 ft above ground = 6.7 + 5 = 11.7 foot

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Please find attached a diagram explaining this question

If you flip a coin 30 times, what is the best prediction possible for the number of times it will land on tails?

Answers

Answer:

15 times i think

Step-by-step explanation:

15 times

A coin has a 50% to land on tails so 50% of 30 is 15 :)

The amount of gallons of water remaining in a swimming pool after x hours is given by the equation,
y = -4,000x + 20,000
How long before the pool is completely drained?
O 1 hour
5 hours
3 hours
6 hours

Answers

Answer:

5 hours

Step-by-step explanation:

The pool will be completely drained when y = 0

0 = -4,000x + 20,000

subtract 20,000 from both sides

-20,000 = -4,000x

divide both sides by -4,000

x = 5

Have a good day!

Answer:

5 hours.

Step-by-step explanation:

When it is drained y will be = to zero, so

-4000x + 20000 = 0

-4000x = -20000

x = -20000/ -4000

= 5.

Which decimal is equivalent to 8 3/5 ?

Answers

8.6 is equivalent to 8 3/5

HELP
In complete sentences, explain why correlation does not prove causation. Please have at least 3 complete sentences with proper punctuation, grammar, and capitalization.​

Answers

Answer:

Correlation doesn't prove causation because just because two things correlate does not necessarily mean that one causes the other.It's easy to think that just because two things seem related, that one must be the cause of the other. But that can be a foolish and sometimes dangerous assumption

Whenever w is an integer greater than 1, logw w^2/w^6=?
-4
-3
-1/3
1/3
3

Answers

Answer:

Option (1)

Step-by-step explanation:

Given expression is,

[tex]\text{log_w(\frac{w^2}{w^6})}[/tex][tex]\text{log}_w(\frac{w^2}{w^6} )[/tex]

Let the given expression is equal to y.

[tex]\text{log}_w(\frac{w^2}{w^6} )=y[/tex]

By applying logarithmic rule,

[tex](\frac{w^2}{w^6} )=w^y[/tex]

[tex]w^2\times w^{-6}=w^y[/tex]

[tex]w^{2-6}=w^y[/tex]

[tex]w^{-4}=w^y[/tex]

[tex]y=-4[/tex]

Therefore, value of the given expression [tex]\text{log}_w(\frac{w^2}{w^6} )=-4[/tex].

Option (1) will be the correct option.

2. A right triangle has a hypotenuse of 15 cm. What are possible lengths for the two legs of the triangle? Explain your reasoning.​

Answers

Answer:

Two possible lengths for the legs A and B are:

B = 1cm

A = 14.97cm

Or:

B = 9cm

A = 12cm

Step-by-step explanation:

For a triangle rectangle, Pythagorean's theorem says that the sum of the squares of the cathetus is equal to the hypotenuse squared.

Then if the two legs of the triangle are A and B, and the hypotenuse is H, we have:

A^2 + B^2 = H^2

If we know that H = 15cm, then:

A^2 + B^2 = (15cm)^2

Now, let's isolate one of the legs:

A = √( (15cm)^2 - B^2)

Now we can just input different values of B there, and then solve the value for the other leg.

Then if we have:

B = 1cm

A = √( (15cm)^2 - (1cm)^2) = 14.97

Then we could have:

B = 1cm

A = 14.97cm

Now let's try with another value of B:

if B = 9cm, then:

A = √( (15cm)^2 - (9cm)^2) = 12 cm

Then we could have:

B = 9cm

A = 12cm

So we just found two possible lengths for the two legs of the triangle.

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

The diameter is the length of all the way across the circle. The radius is half of that.

the first circle

radius=17cm

diameter =17×2=34cm

second circle

radius=25mm

diameter =50mm

hopefully that helped

marissa says that the figure below is a rectangle. (the figure is a square). Is Marissa corrects?

Answers

Answer:

yes

Step-by-step explanation:

a square is a rectangle but a rectangle is not a square

meaing that a square is a rectangle but not all rectangles are squares

Jasmine, multiply your age by 3 and add 6. Then multiply this sum by 2. James, multiply your age by 2 and add 4. Then multiply this sum by 3. I predict you will both get the same number!

Answers

Expression for Jasmine → 2(3x + 6)
Expression for James → 3(2x + 4)

Hope I helped have a good day !

Is x + 15 = 7 true when x = 12?
_________________________

Answers

Answer:

no not even if its supposed to be a negative

Step-by-step explanation:

12 + 15 = 27
Not true

What is the slope of these two points (5,-11) and (25,9)?

Answers

Answer:

[tex]slope = \frac{(9 - ( - 11))}{(25 - 5)} \\ = \frac{20}{20} \\ = 1[/tex]

1) The numbers from 1 to 5 are written on slips of paper and placed in a bucket. What is the
theoretical probability of drawing a "2"?

Answers

Answer:

20%

Step-by-step explanation:

5 numbers in total, only 1 option = 1/5

-Gage Millar, Algebra 2 tutor

A basketball id stored inside a cylindrical container as shown. The height of the cylinder is 8 inches and its radius is 4 inches. The radius of the basketball is 4 inches. What is the total volume in cubic inches of the space inside the cylinder that is unoccupied

Answers

Answer:

[tex]134.041\ \text{in}^3[/tex]

Step-by-step explanation:

r = Radius of sphere = Radius of basketball = 4 inches

h = Height of cylinder = 8 inches

Volume of unoccupied space will be the difference in volume between the cylinder and the basketball

[tex]\Delta V=\pi r^2h-\dfrac{4}{3}\pi r^3\\\Rightarrow \Delta V=\pi r^2(h-\dfrac{4}{3}r)\\\Rightarrow \Delta V=\pi\times 4^2(8-\dfrac{4}{3}\times 4)\\\Rightarrow \Delta V=134.041\ \text{in}^3[/tex]

Unoccupied volume in the container is [tex]134.041\ \text{in}^3[/tex].

Help me solve this !!! Math problem!

Answers

Answer:

The probability that she would succeed is 1/2

Step-by-step explanation:

Firstly. we have to calculate the area of the board

That would be the area of the rectangle

This is the product of the base and the height which is 50 cm * 40 cm = 2,000 cm^2

The area of the triangle is the area of the base and the height divided by 2

we have this as;

1/2 * 50 * 40 = 1,000 cm^2

The probability would be the area of the triangle divided by the area of the board

This is because she is aiming at the triangle while having the whole board to work against

This is 1,000 cm^2/2000 cm^2 = 1/2

Answer the statistical measures and create a box and whiskers plot for the following set of data.

1, 1, 6, 10, 12, 13, 13, 14, 16, 19

Min:

Q1:

Med:

Q3:

Max:

Answers

Answer:

please check explanations

Step-by-step explanation:

Min stands for the minimum value

This is the smallest value

Looking at the numbers, the minimum value is 1

Q1 is the lower quartile

We have the formula as;

Q1 = (n + 1)/4

where n is the number of terms and that is 10

Q1 = (10 + 1)/4 = 11/4 = 2.75

This is approximately 3 and that means the the lower quartile is the third term and that is 6

Median is the middle value and that is;

(12 + 13)/2 = 25/2 = 12.5

Q3 is the third quartile and that is;

Q3 = 3(n + 1)/4 = 33/4 = 8.25

The third quartile is the 8th term and that is 14

Max is the highest number and that is 19

Andrew recorded the number of points his football team scored in each of the ten games of the season. The points are listed below. Which box plot correctly represents this data?

Answers

Answer:

the second one

Step-by-step explanation:

hai-

PLZZZZZZZZZZZZ PLZZZZZZZZZZZZ PLZZZZZZZZZZZZ PLZZZZZZZZZZZZ help

Answers

Answer:

a. option is the correct answer

A. Decreased by 15% compared with last years amount

12+[ 9 4/5 - ( 1.5 + 2 2/10)]



Someone please help me?​

Answers

Answer:

18.1

The thing You NEEDED to do

Simplify or Evaluate Your Answer

please help i need it real quick and i don't understand it

Answers

Answer:

3m × 4m:

Yellow flower: 12

Bush: 6

Total: 18

3m × 5m:

Yellow flower: 15

Bush: 8

Total: 23

Step-by-step explanation:

Help me with this question, please!

Answers

Answer:

3,432 m²

Step-by-step explanation:

The amount of aluminum in square meters needed to make the mailboxes = 1863(surface area of each mailbox)

Surface area of each mail box = ½(surface area of cylinder) + (Surface area of rectangular prism/box - area of the surface of the box that joins the half-cylinder)

✔️Surface area of ½-cylinder = ½[2πr(h + r)]

r = ½(0.4) = 0.2 m

h = 0.6 m

π = 3.14

Surface area of ½-cylinder = ½[2*3.14*0.2(0.6 + 0.2]

= 0.628(0.8)

Surface area of ½-cylinder = 0.5024 m²

✔️Surface area of the rectangular box/prism = 2(LW + LH + WH)

L = 0.6 m

W = 0.4 m

H = 0.55 m

Surface area = 2(0.6*0.4 + 0.6*0.55 + 0.4*0.55)

Surface area of rectangular box = 1.58 m²

✔️Area of the surface joining the half cylinder and the box = L*W = 0.6*0.4 = 0.24 m²

✅Surface area of 1 mailbox = (0.5024) + (1.58 - 0.24)

= 0.5024 + 1.34

= 1.8424

Amount of aluminum needed to make 1863 mailboxes = 1863 × 1.8424 = 3,432.3912

= 3,432 m²

Find volume PLS HELP

Answers

Answer:

88.3

I just think so

I dont have a 20 letter explantion

emoji math....................................

Answers

Answer:

ummmmm 12.......................

Step-by-step explanation:

Select the correct answer.
Use this tax table to find how much tax you need to pay on a taxable income of $40,000.



A.
$6,423.75
B.
$8,150.50
C.
$12,536.25

Answers

B is the answer to this

I need the answer ASAP

Answers

Step-by-step explanation:

the correct answer is A

15 x 35

Answer:

A

Step-by-step explanation:

let width be w , then length l = w + 20

perimeter = 2w + 2l

                 = 2w + 2(w + 20) , so

2w + 2w + 40 = 100

4w + 40 = 100 ( subtract 40 from both sides )

4w = 60 ( divide both sides by 4 )

w = 15 and l = 15 + 20 = 35

Dimensions are 15 ft by 35 ft → A

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