If a square has the sides of 6 cm then how far will it be from one corner of the square to the opposite corner?

Answers

Answer 1

Answer:

8.5 cm

Step-by-step explanation:

We know that the square has side lengths of 6cm. To calculate the distance from one corner of the square to the opposite corner, we are calculating the diagonal of the square.

Along the diagonal is where the square gets split in half into two right triangles. The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where c is the longest side of a right triangle and a and b are the other two sides.

To find the length of the square's diagonal, we essentially need to calculate c, the longest side of the triangles. We can do this by plugging 6 into the equation as a and b.

[tex]a^2+b^2=c^2\\6^2+6^2=c^2\\36+36=c^2\\72=c^2\\\sqrt{72} =c[/tex]

[tex]8.5[/tex] ≈ [tex]c[/tex]

Therefore, it will be approximately 8.5cm from one corner of the square to the opposite corner.

I hope this helps!


Related Questions

Write the phase as an expression. Then evaluate x=5. The sun of number x and 4, all divided by 3

Answers

Expression: (x + 4)/3
Plug in 5 for x
(5 + 4)/ 3 = 9/3 = 3
The solution is 3

round the hundredth:0.678

Answers

Answer:

0.68

Step-by-step explanation:

7 is in the hundredth place and since 8 is after and it's bigger than 5, the 7 becomes 8 so 0.68

Hope this Helps!

If the dolphin dives 100 feet below the surface of the ocean, what is its new elevation?

Answers

Answer:

Step-by-step explanation:

if you consider ) to be the elevation of the ocean, and the dolphin dives 100 feet, its new elevation will be -100 ft

i need help with this question. all of it is a single question​

Answers

Answer:

o uh

Step-by-step explanation:

so im sorry im not in college my friend. i see ur in ap, but uh im only 6th

The grocery store has 20% off from the original price on cereal. The equation for finding the sale price would be y = x - (.20x). What is the sale price if the cereal cost $3.00?


$2.20


$2.50


$2.40


$2.30

Answers

Step-by-step explanation:

y = x - 0.2x

y = 0.8x

When x = $3.00, y = (0.8)($3.00) = $2.40.

The sale price is $2.40.

Answer:

$2.40

Step-by-step explanation:

y = x - 20% of x

where x is $3.00

20% would be 1/5 of 3.00 = 3/5

3 - 3/5 = 15-3/5 = 12/5 = $2.40

Please Please Please help (6+6)/4

Answers

Answer:3

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

X/10*0.24-15.5/7.5=9

Answers

Given :

[tex](\dfrac{X}{10}\times 0.24 )- \dfrac{15.5}{7.5} = 9\\\\[/tex]

To Find :

The value of x.

Solution :

[tex](\dfrac{X}{10}\times 0.24 )- \dfrac{15.5}{7.5} = 9\\\\(\dfrac{X}{10}\times 0.24 ) = 9 + \dfrac{15.5}{7.5}\\\\(\dfrac{X}{10}\times 0.24 ) = \dfrac{(9\times 7.5 )+ 15.5}{7.5}\\\\(\dfrac{X}{10}\times 0.24 ) = \dfrac{83}{7.5}\\\\X = \dfrac{83\times 10}{7.5\times 0.24}\\\\X = 461.11[/tex]

Therefore, the value of X is 461.11 .

Given the figure at the photo, which angle represents angle 2? CHOOSE ALL THAT APPLY!

Answers

Answer:

a

Step-by-step explanation:

PLS HELP FINAL QUESTION! 50 POINTS AND BRAINLIEST!
[tex]ln (x-24) + ln(x+100) = 3ln5[/tex]

Answers

Answer:

lnx-24ln+lnx+100ln=3ln5

2lnx+76ln=2ln5

Step-by-step explanation:

2ln5 is the answer use the graphing calculator

9i / -2 +7i what is the conjugate of the denominator

Answers

Conjugate of the denominator is -2-7i

Someone please help me out please!!!!

Answers

Given:

A committee of 6 members is to be chose from the 100 members of the U.S. senate.

To find:

The number of ways to form a committee.

Solution:

We have,

Total number of members = 100

Number of members needs to selected of committee = 6

Number of ways to select r items from total n items is

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

Number of ways to select 6 members from total 100 members is

[tex]^{100}C_6=\dfrac{100!}{6!(100-6)!}[/tex]

[tex]^{100}C_6=\dfrac{100\times 99\times 98\times 97\times 96\times 95\times 94!}{6\times 5\times 4\times 3\times 2\times 1\times 94!}[/tex]

[tex]^{100}C_6=\dfrac{100\times 99\times 98\times 97\times 96\times 95}{6\times 5\times 4\times 3\times 2\times 1}[/tex]

[tex]^{100}C_6=1192052400[/tex]

Therefore, the total number of ways to form a committee is [tex]^{100}C_6[/tex], i.e., equal to [tex]1192052400[/tex].

What is the constant proportionality, y/x?

Answers

Answer:

1.4  in x.y but in y.x it 4.1

Step-by-step explanation:

The graph below shows the number of houses sold over x days. What is the average rate of change from day 2 to day 10? A graph entitle House Sales shows Number of Days on the x-axis, from 0 to 12, and Number of Houses Sold on the y-axis, from 0 to 12. A line connects 5 points. The points are (0, 0), (2, 8), (6, 6), (10, 2), (12, 4). Negative four-thirds Negative three-fourths 6 8

Answers

Answer:

-3/4

Step-by-step explanation:

Answer:

-3/4 on EDG 2020

Step-by-step explanation:

Got it Right :)

Don't steal points
its not cool
i WILL report
and also
answer this and u could have a chance to get brainliest
ill be asking 10 questions
whoever has the best answer in any of these ill give brainliest :D

Answers

Answer:

Its 11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

I need to see where to put the points on the graph​

Answers

Answer:

Step-by-step explanation:

ok so

42≤0.45x+0.60y

x=pounds of finnishing nails

y=pounds common nails

when x+y≥30

now lets solve for y

y=-x+30

lets plug this in to the formula

42≤0.45x+0.6(−x+30)

x≤−160

nowing this lets plug in for x

x+y≥30

-160+y30

y190

Answer:

Step-by-step explanation:

42≤0.45x+0.60y

x=pounds of finnishing nails

y=pounds common nails

when x+y≥30

now lets solve for y

y=-x+30

lets plug this in to the formula

42≤0.45x+0.6(−x+30)

x≤−160

nowing this lets plug in for x

x+y≥30

-160+y≥30

y≥190

Read each of the situations below. Write an integer that describes the situation a football player caught a 57-yard pass

Answers

Answer:

an integer that describes the situation a football player caught a 57-yard pass.

Step-by-step explanation:

WHAT? YOU TOLD ME TO WRITE THAT NOT ME!!!! T-T next time be more specific YEESH

PLEASE ANSWER ASAP
Figure ABCD has vertices A(- 5, 2) , B(4, 2) , C(4, - 5) , and D(- 5, - 3) . What is the area of Figure ABCD? 9 square units 45 square units 54 square units 122 square units

Answers

Answer:

54 square units

Step-by-step explanation:

ABCD = ABED + CED

A and B have same y coordinate

A and D have same x coordinate

AB ⊥ AD

AB = 4 - (-5) = 9

AD = 2 - (-3) = 5

EC = BC - AD = (2 + 5) - 5 = 2

ABCD = 9 x 5 + 1/2 (9 x 2) = 45 + 9 = 54

Explain how the applications of inventory management for fixed quantities differ from those for fixed time periods. Give specific instances in which you would use a fixed time period model rather than a fixed quantity model. Provide real-world examples.

Answers

Answer:

The main difference between the fixed quantity and fixed time period is that the fixed quantity makes it mandatory for a fixed number of items to be ordered every time an order is made, while the fixed time period has a fixed period orders are received before the next order period.

Step-by-step explanation:

The fixed quantity model is adopted by producers of a product to maintain a package type and also to maximize the profit derived from sales. For example is when ordering or buying eggs from a store, the buyer cannot purchase five eggs since it is packaged in a dozen (12), and so must buy the whole package.

The fixed time model uses time intervals to receive and accumulate orders before delivery is made for every order interval.

POINTS!!!!!! HELP!!!!!!!

Use quadratic regression to find the
equation for the parabola going
through these 3 points.
(2, 19) (6, 99) (-1, 1)

y=[?]^2+[?]x+[?]

Answers

Answer:

The standard form of the parabola is

                   y = 2 x² + 4 x + 3

Step-by-step explanation:

Step(i):-

The standard form of the parabola

                                     y = a x² + b x + c ...(i)

The  equation for the parabola is passing through the point (2 , 19 )

                                 19 = 4a + 2b +c ...(ii)

The  equation for the parabola is passing through the point (6 , 99 )

                                 99 = 36a + 6b +c ...(iii)

The  equation for the parabola is passing through the point (-1,1) )

                                1 = a - b + c ...(iv)

step(ii):-

subtracting (ii) and (iii) , we get

                         8a + b = 20 ...(a)

Subtracting (iii) and (iv) , we get

                        5a + b = 14 ...(b)

solving (a) and (b) , we get

subtracting (a) and (b) , we get

                     8a + b-( 5a + b ) = 20 - 14

                     3 a = 6

                       a = 2

  substitute a=2 in equation (a) , we get

              8a + b = 20

              8(2) + b = 20

                     b =20 -16

                   b = 4

Substitute a= 2 ,b = 4 in equation (ii) , we get

                  19 = 4a + 2b +c

                  19 = 8 + 8  + C

              c = 19 -16 = 3

Final answer:-

The standard form of the parabola is

                   y = 2 x² + 4 x + 3

                 

                         

                             

not sure about this one help please

Answers

Answer:

a) -1

Step-by-step explanation:

Slope is also known as the gradient

1. assign a value to x and solve for y:

when x = 2, y = 2

when x = 4, y = 0

2. Next, use the equation of a straight line to find the gradient

y = mx + c

y is the y-coordinate, m is the gradient, x is the x-coordinate, c is the point where the line crosses the y-axis, which is found by equating y to 0 and solving for x

so y = mx + c becomes 2 = m*2 + 4, which then becomes 2 = 2m + 4

2m = -2 (take 4 away from 2)

m = -1

5945 divided by 612??

Answers

Answer:

9  437/612

Step-by-step explanation:

Just divide the answers and simplify

8r-5>75. helpppppppp

Answers

Answer and Step-by-step explanation:

In this inequality, we are solving for r. Just think of this as a normal equation, and worry about the sign at the end.

First, add 5 to both sides.

8r > 80

Now divide by 8 to both sides.

r > 10

So, r is greater than 10.

                          [     If the inequality had a negative number being divided, then the sign would flip.

For example:

-2x > 4

To solve this one, you would divide by -2 to both sides. Then, you would flip the sign.

x < 2                  ]

#teamtrees #WAP (Water And Plant)

What is the answer to this?​

Answers

-0.3 I MIGHT BE WRONG

Answer:

The value of x = -22

Step-by-step explanation:

Given the expression

[tex]-0.57x+0.27x=6.6[/tex]

Add similar elements: [tex]-0.57x+0.27x=-0.3x[/tex]

[tex]-0.3x=6.6[/tex]

Multiply both sides by 10

[tex]-0.3x\cdot \:10=6.6\cdot \:10[/tex]

Refine

[tex]-3x=66[/tex]

Divide both sides by -3

[tex]\frac{-3x}{-3}=\frac{66}{-3}[/tex]

[tex]x=-22[/tex]

Therefore, the value of x = -22

In the diagram below, the lifeguard is 5 ft. tall while sitting and the angle of elevation from the man on the diving board to the lifeguard (angle 2) is 20. How far apart are the two men? Round your answer to the nearest tenth.

Answers

Answer:

d the same thing as the one that I was a great place for him to get to know the person you want and what is the answer to the

In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 1/4 of the drink is apple juice and 3/10 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form.

Answers

1/4 + 3/10 = 10/40 + 12/40 = 22/40

40/40 = 22/40 = 18/40

18/40 = cranberry j

Ratio=
A : O : C


10/40 : 12/40 : 18/40

0.25 : 0.3 : 0.45

Answer:

5 : 6 : 9

Step-by-step explanation:

The drink has 3 ingredients

Apple juice = 1/4 = 25%Orange juice = 3/10 = 30%Cranberry juice = the rest = 100% - (25% + 30%) = 45%

The ratio is:

25 : 30 : 45

Simplified ratio:

5 : 6 : 9

Evaluate x + y when x=-87 and y = 34.
-121
-53
53
121

Answers

-87 + 34 = -53. Just gotta plug in numbers

The value of x + y = - 53

What is Linear Equation in 2 variables?

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c = 0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

Given data ,

The value of x = - 87

The value of y = 34

The equation x + y is calculated by substituting the values of x and y in the equation ,

Therefore , x + y = ( - 87 ) + 34

                           = -53

Hence , the value of x + y is equal to - 53

To learn more about linear equation click :

https://brainly.com/question/13739733

#SPJ2

3. Solve and list the properties for each step for the following equation.
2(3x-4) + 11 = x - 27

Answers

Answer:

Last answer x=−6 if you want steps i can show you have a nice day i hope it is helpful

To find 1% of a number, move the decimal

Answers

Answer:

2 places to the left

Step-by-step explanatiS

Naty bought a dress for $24.95 and a skirt for $14.95.
The sales clerk said the total cost including 9.5% sales
tax was 49.40. Below are the steps the clerk completed.
Step 1: 24.95 + 14.95 = 39.90
Step 2: 39.90 +9.5 = 49.40
Are the clerk's steps correct? If she is incorrect, identify
her mistake and explain her error. Explain in writing how
to accurately calculate the sales tax, total cost, and state
the correct total. (Round final answer to the nearest
hundredth)

Answers

Answer:

Total items = $39.90

Sales tax amount = $3.7905

Total cost = $43.691

The clerk's error is using 9.5 as sales tax amount instead of finding 9.5% of the total items

Step-by-step explanation:

Dress = $24.95

Skirt = $14.95

steps the clerk completed.

Step 1: 24.95 + 14.95 = 39.90

Step 2: 39.90 +9.5 = 49.40

Correct steps:

Total items = dress + skirt

= $24.95 + $14.95

= $39.90

Sales tax = 9.5%

Sales tax amount = 9.5% of total

= 9.5/100 × $39.90

= 0.095 × 39.90

= $3.7905

Total cost = Total + sales tax amount

= $39.90 + $3.7905

= $43.6905

To the nearest hundredth

= $43.691

Sales tax is the amount of money imposed by government on the sales of some items

Total cost is the cost of all items including sales tax

so if Sarah has 10 apples and shes gives 2 to Jack, and Noah gives Sarah 8 more. How many apples does Sarah have now?

Answers

Answer:

She would have 16

Step-by-step explanation:

10-2=8

8+8=16

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