Diagonal of a square is 4 root 2. Find the length of a side of a square

Answers

Answer 1

Check the picture below.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{4\sqrt{2}}\\ a=\stackrel{adjacent}{s}\\ b=\stackrel{opposite}{s}\\ \end{cases}\implies (4\sqrt{2})^2~~ = ~~s^2~~ + ~~s^2 \\\\\\ 4^2\sqrt{2^2}~~ = ~~2s^2\implies 16(2)=2s^2\implies 32=2s^2\implies \cfrac{32}{2}=s^2 \\\\\\ 16=s^2\implies \sqrt{16}=s\implies \boxed{4=s}[/tex]

Diagonal Of A Square Is 4 Root 2. Find The Length Of A Side Of A Square

Related Questions

calculator shortcut for 16613 eight

Answers

There are some calculator shortcuts that can be used on a Windows OS and they are:

Ctrl + R (recall from memory)Ctrl + L (erase memory)

What is a Calculator?

This refers to the mathematical tool that is used to make scientific calculations to find an expected result and is fully automated.

Hence, we can see that calculator shortcuts in a Windows OS exists and some of them include the combination of keys on a keyboard for quick actions such as clearing and recalling from memory, among many others.


Read more about calculators here:

https://brainly.com/question/164042

#SPJ1

( 9 × 10^ − 7 )^ 2
standard form at the end please

Answers

Answer:

Step-by-step explanation:

Answer: 6889.

( 9 × 10^ − 7 )^ 2

standard form 6889.

A 1-quart milk carton has a square base of 7 cm × 7 cm and a height of 19.3 cm. What is its volume in cubic centimeters?

Answers

Answer:

V = 945.7 cm^3

Step-by-step explanation:

I'm assuming the carton is a rectangular prism/has right angles. The volume formula for a rectangular prism is V = lwh, where l = length, w = width, h = height.

Substitute known values into this formula:

V = 7 × 7 × 19.3

V = 945.7 cm^3

It was a busy evening at the restaurant. Ron waited on 48 tables for 3 hours. Joe served 45 customers in 5 hours. Sue waited on 34 tables for 2 hours. Who had the busiest day serving the most number of customers per hour?​

Answers

Answer:

Sue

Step-by-step explanation:

34/2= 17 which is the highest out of them all.

What is the measure of angle θ in the graph?

angle drawn in standard position on the unit circle, extending counterclockwise in the second quadrant

Group of answer choices

−135°

45°

135°

225°

Answers

The measure of the angle θ in the graph as described in the task content is; 135.

What is the measure of angle θ in the graph?

From the task content, it follows that we are required to determine the measure of angle θ in the graph as described.

Since, angle θ transverses the first quarter in the counterclockwise direction, it follows that the measure of angle θ by convention is; 90+45 = 135⁰.

Read more on angles;

https://brainly.com/question/25716982

#SPJ1

If the sales per day of a start-up company can be modeled using the function s(d) = d 3 + 10, what is the maximum number of sales per day on the interval 0 < d ≤ 3?

Answers

The maximum number of sales will be equal to 37.

What is a function?

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

Given function is:-

s(d) = d³ + 10maximum number of sales per day on the interval 0 < d ≤ 3

The maximum value of d = 3

s(d)  =  d³   +  10

s(d)  = (3)³  +  10

s(d)  = 27  +   10

s(d)  =  37

Therefore the maximum number of sales will be equal to 37.

To know more about function follow

https://brainly.com/question/2833285

#SPJ1

What is the value of x?

A. 10.4
B. 52
C. 61.6
D. 92

Answers

Answer:

A. 10.4

Step-by-step explanation:

180-128=52÷5=10.4

What is the solution of following system of equations y=2x-3 4x-3y=31

Answers

Answer:

(-11, -25)

Step-by-step explanation:

Use substitution.

I need help

Bob scuba dives in the ocean.

He is 150 feet below the surface of the water.
• He swims up toward the surface of the water at a rate of 15 feet for every 30 seconds.
After 2 minutes of ascending, he stops to take a break. How far away is Bob, in feet, from the surface of the water?

Answers

Using proportions, it is found that Bob will be 90 feet from the surface of the water after 2 minutes.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, every half-minute, he ascends 15 feet. Hence in 2 minutes = 4 half-minutes, he will have ascended 15 x 4 = 60 feet.

He is 150 feet below the surface of the water, hence after 2 minutes he will be 150 - 60 = 90 feet from the surface of the water.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

The length of a rectangular field is 31 meters and the breadth is 14 meters, outside it a 2 meter wide path is made all around, what will be the cost of laying sand on this path at the rate of 7 per square meter

Answers

Cost of laying sand on this path = Rs. 1372 at the rate of Rs. 7 per sq. m

Step-by-step explanation:

[ refer to attachment ]

Area of field + path = L × B

=> 35 × 18

=> 630 m² -------------(1)

Area of field = L× B

=> 31 × 14

=> 434 m² --------------- (2)

Area of path = area 1 - area 2

=> 630 - 434

=> 196 m²

Given Rate = Rs. 7/ m²

If cost of 1m² = Rs. 7

Cost of 196m² = 7×196

=> Rs. 1372

3√6/√15
Solve it using radicals please!!!

Answers

Answer:

3√10/5

Step-by-step explanation:

[tex]\frac{3\sqrt{6} }{\sqrt{15} }[/tex]

Rationalize √15

[tex]\hookrightarrow \frac{3\sqrt{6} }{\sqrt{15}}\times\frac{\sqrt{15} }{\sqrt{15} } \\\\\hookrightarrow \frac{3\sqrt{6} \times\sqrt{15} }{15} \\\\\hookrightarrow \frac{3\sqrt{90}}{15} \\\\\hookrightarrow \frac{3\sqrt{10} }{5} \\\\[/tex]

What is the approximate value of the correlation coefficient for the given graph?
Price of the Car ($1,000)
40
35•
30. •
25. •
20. •
15. •
10. •
5. •
0 1 2 3 4 5 6 7
Number of Years

A. 1
B. 5
C. 3
D. -1

Answers

Answer:

the answer is a bc the 1 in this makes sense

Step-by-step explanation:

thats is the best answer i think

The approximate value of the correlation coefficient for the given graph is 5.

To calculate the correlation coefficient, we first need to determine the equation of the line that passes through the points (0, 35) and (6, 5).

The formula for the equation of a straight line is y = mx + b, where "m" is the slope and "b" is the y-intercept.

Given two points (x₁, y₁) = (0, 35) and (x₂, y₂) = (6, 5), we can find the slope "m" as follows:

m = (y₂ - y₁) / (x₂ - x₁)

m = (5 - 35) / (6 - 0)

m = -30 / 6

m = -5

Now that we have the slope "m" as -5, we can find the y-intercept "b" by using one of the given points, say (0, 35):

y = mx + b

35 = -5(0) + b

35 = b

So, the equation of the line is y = -5x + 35.

Now, we can use this line to calculate the correlation coefficient "r" for the given graph.

The correlation coefficient "r" is given by the formula:

r = ∑((xᵢ - x')(yᵢ - y')) / √(∑(xᵢ - x')² ∑(yᵢ - y')²)

where (xᵢ, yᵢ) are the data points, x' is the mean of the x-values, ȳ is the mean of the y-values, and ∑ represents the sum.

Without actual data points, we can still deduce the correlation coefficient from the slope "m" of the line. The correlation coefficient for a linear relationship is equal to the square root of the coefficient of determination (R-squared), which is the square of the slope "m" in this case.

So, the correlation coefficient (R) is:

R = √((-5)²) = √25 ≈ 5

Therefore, the approximate value of the correlation coefficient for the given graph is 5.

The correct option is: B. 5

To know more about correlation coefficient, refer here:

https://brainly.com/question/29978658

#SPJ2

Complete Question:

What is the approximate value of the correlation coefficient for the given graph?

A. 1

B. 5

C. 3

D. -1

Which expression is equivalent to the expression shown?
3'*3*
3
3 x
Х
Х
1
3-4
34
-28
4
3
3’x (+39
х

Answers

Answer:

the given expression is equivalent to the

Step-by-step explanation:

[tex] {3}^{7} \times \frac{1}{ {3}^{4} } [/tex]

Question 1-3
Which gives the exact value of the equation 15x=3?

Answers

Answer:

The value of x in 15x=3, is 1/5 or 0.2

A large rectangular prism has a length of 2 and 1/2 inches, a width of 4 inches, and a height of 1 and 1/2 inches. A smaller cube has a length, width, and height of 1/2 of an inch. How many of the smaller cubes will fit into the larger rectangular prism?

Answers

Answer:

120 cubes

Step-by-step explanation:

Volume of prism and cube:

We can find the number of smaller cubes that will fit into larger rectangular prism by dividing the volume of prism by the volume of cube.

  Rectangular prism:

       [tex]\sf l = 2\dfrac{1}{2} =\dfrac{5}{2} \ inches\\\\w = 4 \ inches\\\\h =1\dfrac{1}{2}=\dfrac{3}{2} \ inches\\[/tex]

            [tex]\sf \boxed{\text{\bf Volume of rectangular prism= l * w * h}}[/tex]

                                                                 [tex]\sf =\dfrac{5}{2}*4*\dfrac{3}{2}\\\\= 5*1*3\\\\= 15 \ in^3[/tex]

Cube:

       [tex]\sf side = \dfrac{1}{2} \ inches\\[/tex]

                [tex]\sf \boxed{\text{ \bf Volume of cube = side * side *side}}[/tex]

                                                [tex]\sf =\dfrac{1}{2}*\dfrac{1}{2}*\dfrac{1}{2}\\\\ =\dfrac{1}{8} \ in^3[/tex]

Number of cubes = Volume of prism ÷ volume of a cube

                              [tex]\sf = 15 \div \ \dfrac{1}{8}\\\\=15 *\dfrac{8}{1}\\\\= 120[/tex]

120 cubes will fit

   

Solve the following simultaneous equations in ELIMINATION way​

Answers

Answer:

Here is the solution...hope it helps:)

Help with a exit ticket

Answers

Answer:

   4. 132°

   5. 41°

Step-by-step explanation:

Q4

The arc length is twice the measure of the inscribed angle∡RP = 68° × 2 = 132°

Q5

2∠ABC = ∡AC2(5x + 11) = 16x - 2610x + 22 = 16x - 2616x - 10x = 22 + 266x = 48x = 6∠ABC = 5(6) + 11∠ABC = 41°

mRP

The angle will be twice the m<Q

So

it's

2(68)136°

#2

2(5x+11)=16x-2610x+22=16x-2648=6xx=8

m<ABC

5(8)+1140+1151

Josh calculated the mean absolute deviation of the points he earned throughout the year in four of his classes: science, math, Spanish, and art.

science: MAD of 1.14

math: MAD of 1.6

Spanish: MAD of 1.2

art: MAD of 1.93

In which class were his scores the closest together?


science

art

Spanish

math
HELPPPP!!!!

Answers

The closet scores would be sci and Spanish

Answer:

The answer would be Science.

I don't know how to explain it just yet :(

f(x) =3x, g(x) = x+4 and h(x)=x²-1
What is the value of
h[f(10)]

Answers

Answer:

899

Step-by-step explanation:

h[f(10)]=h(30)

=(30)^2-1=900-1=899

“the product of 6 and
9 decreased by 8"

Answers

Answer:

46

Step-by-step explanation:

“the product of 6 and 9 decreased by 8"

“the product of 6 and 9" = 6 * 9

"decreased by 8" = - 8 (subtract 8 from whatever, in this case 6 * 9)

“the product of 6 and 9 decreased by 8" = 6 * 9 - 8 = 46

need help.. again PLEASE HURRY 100 POINTS

Answers

Answer:

I think it might be 156 square milimeters. I could be totally wrong though.

Step-by-step explanation:

Use what you know about triangles to classify this triangle.

Triangle with two acute angles and one obtuse angle. Two sides are equal in length.

Group of answer choices

Answers

Answer:

isosceles

Step-by-step explanation:

just ask

Find the size of the angle marked a

Answers

Answer:

57°

Step-by-step explanation:

Given line is straight line

then whole angle is 180°

then 180 - 123 = a = 57

Answer:

57°.

Step-by-step explanation:

What we know is:

One angle is 123°.

We don't know:

angle a°.

So, we add both angles up to 180°:

123 + a = 180.

Lets solve 180 - 123:

180 - 123= 57a° = 57°.Angle a° is 57°.

Drag each tile to the correct box. Graph the functions as transformations of f(x)=x^2. Arrange the parabolas with respect to the position of their vertices from left to right. 1: y=f(x)
2: y=f(x-4)
3: y=f(x+3)
4: y=f(x-7)
5: y=f(x+2)
6:y=f(x-1/2)

Answers

If a constant is added to a variable then the graph gets shifted toward left and vice-versa. Then the graphs are shown below.

What is the parabola?

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The parabola is given below.

f(x) = x²

Then the parabolas with respect to the position of their vertices from left to right will be

1: y = f(x) = x²

2: y = f(x - 4) = (x - 4)²

3: y = f(x + 3) = (x + 3)²

4: y = f(x - 7) = (x - 7)²

5: y = f(x + 2) = (x + 2)²

6: y = f(x - 1/2) = (x - 1/2)²

The graph of the parabola is given below.

More about the parabola link is given below.

https://brainly.com/question/8495504

#SPJ1

I can not figure out the length of xy

Answers

Answer:

The segment bisector is MN

Step-by-step explanation:

MN divides XY into two equal lengths

32.


so, the two dashes on the lines, the | represent those two portions are equal. also it alr says that MN is the segment bisector, and bisector means that something is split in half.


so, this basically means we can set 3x+1 and 8x-24 equal to each other


3x+1=8x-24

so we need to split up the numbers so x is on one side. the easiest way to do this is to move the -24 to the other side. to do this, we need to balance the equation. if we move one thing to one side, we need to flip the sign. so -24 is negative, so we need to make it +24 and add it to 1


3x+25=8x


now, move 3x to the other side, but since it’s positive, make it -3x. subtract it from 8x


25 = 5x


now, x is attached to 5 by multiplication so we need to do the opposite of multiplication, division. divide 25 by 5 to isolate x


5 = x



so since x = 5, we can plug it back in to any of the segments ill pick 3x+1


3(5)+1


that equals 16


since we know both lines are equal in length, we can double 16, which equals 32

Multiply
[(x-1)/(x^2-2x-3)].[(3x-9)/(x+2)]

Answers

Answer:

3(x -1) / (x + 1)(x + 2).

Step-by-step explanation:

(x-1)/(x^2-2x-3)].[(3x-9)/(x+2)

Factoring the denominator  and 3x - 9:

= (x - 1) / (x + 1)(x - 3)  *  3(x - 3) / (x + 2)

The (x - 3)'s  cancel out, so we have:

(x - 1)/(x + 1) * 3 / (x + 2)

= 3(x -1) / (x + 1)(x + 2).

How to find the surface area of a triangular prism

Answers

Answer:

See below.

Step-by-step explanation:

To find the surface area, find the area of the square base and add it to the area of each triangle face. Find the area of the base by multiplying base length by base length. Find the area of each triangle face by multiplying 1/2 * b*h.

Example:

For a base which is 12 by 12. The area is 12 x 12 = 144.

For the triangle face, the area is 1/2 * 12 * 15 = 90. Since there are 4 faces, the total area is 4 * 90 = 360.

Together the surface area is 360 + 144 = 504.

If sample bias exists, then we can easily trust using the sample as representative of the
whole population. True or False

Answers

Answer:  False

Explanation:

If the sample is biased, then it does not represent the population. A biased sample favors one or more groups over others.

For example, if the sample consisted of only men, then the sample is biased toward men and leaves out women from the group. Hence, this sample does not represent everyone.

False, if an answer is biased it does not contain fact just opinion

What is the solution of x = 2 + StartRoot x minus 2 EndRoot?

Answers

Answer:

x = 2 and x = 3

Step by step explanation:

[tex]~~~~~~x = 2 +\sqrt{x-2}\\\\\implies x -2 =\sqrt{x-2}\\\\\implies (x-2)^2 = x-2 ~~~~~~~~~~~~~~~;[\text{Square both sides}]\\\\\implies x^2 -4x+4-x +2 = 0\\\\\implies x^2-5x+6 = 0\\\\\implies x^2-3x-2x+6=0\\\\\implies x(x-3)-2(x-3) = 0\\\\\implies (x-2)(x-3) = 0\\\\\implies x =2,~~x = 3\\\\\textbf{Verifying solutions:}\\\\\text{For x =2,}\\\\2= 2+\sqrt{2-2} \implies 2 = 2~ \\\\ \text{So, x = 2 is a solution.}\\\\\text{For x =3,}\\\\3 = 2+\sqrt{3-2}\implies 3=2+1 \implies 3=3\\ \\[/tex]

[tex]\text{So, x = 3 is a solution.}[/tex]

what is the area of the regular polygon shown below?

Answers

The answer is: 1372 in. squared

Because the apothem will always be half of the length of one side. The length of one side is 28 in.

The formula for the area is:
Area = (number of sides × length of one side × apothem)/2

Working out:
A = (7 times 28 times 14) divided by 2 = 1372 in. squared

Hope this helps!
Please give Brainliest!
Other Questions
Read the passage.The Shelburne Museum is a great place for familles to visit. Most museums have just one building, but this museum has 39! The museumIncludes houses, barns, a lighthouse, and even an old steamship. It has fun things to interest people of all ages. My mother liked looking atpaintings from the 1800s. I enjoyed running through the gardens. My dad thought the old stagecoaches were cool. And my grandpa liked thewooden circus figures. This is the best museum I've ever seen!Which sentence from the passage best explains why the Shelburne Museum is good for families?1. The Shelburne Museum is a great place for families to visit.2. It has fun things to interest people of all ages.3. My dad thought the old stagecoaches were cool.4. This is the best museum Ive ever seen! What is 5/8 -2/4In its simplest form A cylinder has radius 14 inches and height 12 inches. A cone has the same radius and height. Round Volume answers to the nearest hundredth. A) Find the volume of the cylinder. V= B) Find the volume of the cone. V=C) What fraction of the cylinder's volume is the cone's volume? Describe a selected aspect of present and past climate and the associated physical parameters (eg, temperature, precipitation, sea level) or chemical composition (e.g. ocean pH) of the atmosphere geosphere, hydrosphere or cryosphere, related to the severe weather phenomena you chose. Include changes over time. 10 Which one of the following scales is for a small-scale map? . 1: 250,000 . 1: 40,000 B. 1:75,000 D. 1:10,000 What is the volume of a right rectangular prism with a length of 19 centimeters, a width of 3 6 centimeters, and a height of 2.7 centimeters? A. 9.54 cm B. 14.85 cm C. 18.468 cm D. 43.38 cm Joanna ate 3/7 of a pizza . Michael ate 2/7 of the pizza How much pizza did joanna and Michael eat altogether venti cold brew coffee has approximately300 mg of caffeine. The average personeliminates 13% of thecaffeineevery hour. How much caffeine would be in your body after 4 hours? How did Napoleon Bonaparte come to power in 1799? When his audience returns home after hisspeech, what does Dr. King want them to knowabout the situation African Americans face?I need your help According to the map on theleft, from what location didthe Enola Gay take off to dropthe bomb on Hiroshima?A. Iwo JimaB. OkinawaC. Tinian What is a device that makes calculations, stores data, and executes instructions according to a program Which result is most likely to occur if Saudi Arabia specializes in producing oil?Saudi Arabia will depend on other countries for many goods.Saudi Arabia will try to develop different types of industries.Saudi Arabia will charge its citizens more for oil.Saudi Arabia will charge high tariffs on imported goods. Need help fast. thank you Mrs. Li classroom is 24 ft wide and 40 ft long what is the area of the classroom Select the correct answer from each drop-down menu.What is citizen influence?Citizen influence means that citizens speak toregarding theof a public policyResetNextNAll rights reserved 2. Juliet coaches soccer and softball. She coaches both sports for a total of 18 hours each day. The soccer practice lasts 1.5 hours more than twice times as long as the softball practice.(a) Write a system of equations to model the situation. Be sure to define your variables.(b) How many hours each day does Juliet spend coaching each sport? Show your work. Be sure to label appropriately. Do you think it was necessary for Buck to kill Spitz? What might have happened had Spitz survived? It is important to understand laws about sxual harament and asault in your state. For this assignment, you will conduct online research to find information about these laws for your state. Then, you will write one paragraph summarizing these laws in your own words. Be sure to include information about laws concerning sxual harament, age of consent, and rap. I had to use different words so my question doesn't get taken down lol. Context I'm from California and info has to be relevant to California. pls help. Which is the example of long bone?