a square has a diagonal length of 10 meters. How long is the side of the square?

Answers

Answer 1

Answer:

5 × √2 or 7,071067811865475

Step-by-step explanation:

the diagonal of a square splits the square into 2 right triangles. So we can use Pythagorean's theorem.

where c is the hypotenuse. So the diagonal is the hypotenuse here, and thus c = 10. Now, since we are dealing with a square, all the sides are the same length, so a = b. So we have:

a² + a² = c²

2a² = 100

a² = 50

a = √50

a = 5 × √2 or 7,071067811865475

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

Answer 2

Answer: 50

Step-by-step explanation  :<


Related Questions

A school of salmon was swimming in the river 5 feet below the surface. To escape a hungry bear, they went down another 3 feet.
What is the position of the salmon now relative to the surface?

Answers

Answer:

8 feet

Step-by-step explanation:

5 + 3 = 8

Answer:

Step-by-step explanation: The school of salmon are now 8 feet below the surface. They start at -5 feet and then you subtract 3 more feet which gives you -8 feet. -5-3=8

A triangle has two side of lengths 10 and 14. What value could the length of the third side be?

Answers

If it’s a hypotenuse, the other side length is 17.2

Use the Pythagorean Theorem  [tex]a^2 + b^2 = c^2[/tex].

Since we have 2 sides we can easily solve for the third.

[tex]c^2 = 10^2 + 14 ^2[/tex]

[tex]c = \sqrt{100 + 196}[/tex][tex]= \sqrt{296}[/tex] ≈[tex]17.205[/tex]

I’m not sure how to answer this in a Graph, Diagram, and Algebra(algebraic reasoning too) for a,b,c, and d. Can someone please help me?

Answers

The outline that that illustrate how k values change so that the solutions are the ones in the question are as follows

(a) The number line solution contains zero

Using algebra, we have;

The given quadratic inequality is; -x² + 4 ≥ x + k

The number line solution is the expression of the solution on the number line.

We have;

-x² + 4 ≥ x + k

-x²  - x + 4 - k ≥ 0

Dividing by (-1), we get;

x² + x - 4 + k ≤ 0

When - 4 + k = -2

k = 2, we get;

x² + x - 4 + 2 ≤ 0

x² + x - 2 ≤ 0

(x - 1)·(x + 2) ≤ 0

Given that the result of the product is less than zero, we have;

((-3) - 1)·((-3) + 2) > 0

Therefore, the solution are;

x ≤ 1, or x ≥ -2

Which gives

-2 ≤ x ≤ 1

Using diagram;

The solution of the above inequality includes 0 as shown in the attached number line

Graphically;    

The graph of the inequality is plotted using MS Excel, showing the solution set, of -2 ≤ x ≤ 1

(b) There are no solution to the inequality

In the present case, we have;

((-1)² - 4×(-1) × (4 - k) <  0

17 - 4·k < 0

[tex]k > \dfrac{17}{4}[/tex]

Let k = 5, we have;

-x² + 4 ≥ x + k

-x² - x + 4 - 5 ≥ 0

-x² - x  -1 ≥ 0

The discriminant, is (1² - 4×(-1)×(-1)) = -3 < 0, therefore, there are no real

roots to inequality, and -x² - x  -1 is not equal to zero.

Graphically

Please find attached the graph of the function, which does not intersect with the x-axis, and therefore, has no values at which y = 0

(c) The solution is a single number

-x² + 4 ≥ x + k

When k = x + 5, we have;

0 ≥ x² + 2·x + 1

0 ≥ (x + 1)²

Therefore;

The only solution is; x = -1

Using diagrams:

Please find attached the solution of the function on the number line

Graphically

The graph of the function showing only one intercept is attached

Learn more here:

https://brainly.com/question/11982012

ne ajudemmmm pfvvv ...​

Answers

Answer:

NEED TRANSLATOR

Step-by-step explanation:

ENGLISH PLEASE

When finding a critical T value for 95% confidence and a sample size of 30, how many degrees of freedom are there?

Answers

Answer:

29

Step-by-step explanation:

The formula for calculating degrees of freedom in a t-test is n-1 where n is the sample size. Therefore, there are 30-1=29 degrees of freedom if the sample size is n=30.

The kids sell all the bags pf brownies for $2 each. How much money could they make from the Brownie sale?

Answers

Answer:

212

Step-by-step explanation:

106 x 2= 212

Answer:

ok so when there is 106 bags of brownies there is two ways that u can do this that i can think of so u can do 106 + 106 which= 212 or 106 x 2 = 212 this one was pretty easy u got this feel free to ask more questions!

Step-by-step explanation:

BRAINLIEST
Solve for X. Round to the nearest tenth.

Answers

Step-by-step explanation:

2 things to remember for problems like this :

the sum of all angles in a triangle is always 180 degrees.

the law of sines :

a/sin(A) = b/sin(B) = c/sin(C) or upside-down (whatever fuss the situation better), with the sides being always opposite of the angles.

so, now for the given problems :

4.

x/sin(90) = 12/sin(29)

x/1 = x = 12/sin(29) = 24.75198408...

rounded x = 24.8

5.

the opposite angle of x is

180 - 90 - 16 = 74 degrees.

x/sin(74) = 37/sin(90) = 37

x = 37×sin(74) = 35.56668275...

rounded x = 35.6

6.

the opposite angle of x is

180 - 90 - 58 = 32 degrees.

x/sin(32) = 22/sin(58)

x = 22×sin(32)/sin(58) = 13.74712574...

rounded x = 13.7

7.

the opposite angle of 15 is

180 - 90 - 51 = 39 degrees.

x/sin(51) = 15/sin(39)

x = 15×sin(51)/sin(39) = 18.52345735...

rounded x = 18.5

What is the common difference for this arithmetic sequence 45,40,35,30,25,

Answers

Answer:

-5

Step-by-step explanation:

identify an equation in point-slope form for the line perpendicular to y = 2x + 8 that passes through (-3,9)​

Answers

Answer:

y - 9 = m(x + 3)

Step-by-step explanation:

Given a line whose slope is m, the slope of a new line that is perpendicular to the given line is the negative reciprocal of m:  -1/m

Given y = 2x + 8, we see that the slope is 2 and figure that the negative reciprocal of that is -1/2.  This is the slope of the desired perpendicular line.

We can write the equation of this perpendicular line most easily by using the point-slope form y - k = m(x - h), where (h, k) represents the point:

y - 9 = m(x + 3)

y=6x-5 convert the equation to standard form

Answers

Answer:

Add 6x to both sides.

y + 6x = -5

Reorder the left side so that the x term is first.

6x + y = -5

:)

Umm is this right or wrong and if it's wrong can you tell me the right answer?

Answers

Answer:

30

Step-by-step explanation:

d=√(24²+18²)=6√(4²+3²)=6√(16+9)=6√(25)=6×5=30

What can you multiply by to find:

50% of a number?
10% of a number?
75% of a number?

Answers

Answer:

50% is 0.5

10% is 0.1

75% is 0.75

Step-by-step explanation:

When multiplying to find the percent of a number, you make it a decimal by dividing it by 100.

How to calculate the surface area of a football.

Answers

Answer:

A football is a sphere, so the formula for calculating its surface area is 4πr²

Hope it helps:)

Use the exchange rate £1 = €1.13 to convert €339 into £.

Answers

Answer:

the answer is £300.

..........

Answer:

383.07

Step-by-step explanation:

All the info

£1 = €1.13 What are we trying to do? Turn €339 into £.

Therefore 339 X 0.13=44.07 So 44.07+339=£383.07 making £383.07 the exchanged sum

For every 30 minutes she dances, Nell stretches for 10 minutes. What is the ratio value of the time Nell dances to the
time she stretches?
3

10

10/30

30

Pls answer correct

Answers

Answer:

30

Step-by-step explanation:

Answer:

A. 3

Step-by-step explanation:

For every 30 minutes she dances, Nell stretches for 10 minutes

Ratio:

Dance / Stretch = 30 min / 10 min = 3/1 = 3

What is the solution to the system of equations?y = a system of equations. Y equals startfraction one-third endfraction minus 10. 2 x plus y equals 4. X – 102x y = 4(–8, 6)(–6, 16)(6, –8)(16, –6).

Answers

Good job just needs a little more work

Answer: C

Step-by-step explanation:

Damon drove 120 miles in 2 hours and Ashley drove 135 miles in 2.3 hours Ashley insists that she was traveling at a faster rate than Damon Is she accurate?

Answers

Ashley is incorrect, they’re traveling at the same rate. hope this helped

i really need help i don’t get this at ALL. :(

Answers

Step-by-step explanation:

You have to go to Y axis first then to X. For example : (4,5) go up 4 and go to x axis and when u get to 5 you put a dot. The same thing if is (-4,-5) go down 4 and to the left 5 and mark a dot. When you mark the dot put (_,_).

Hope you understand. Let me know if you don't.

How do I solve this?​

Answers

Answer:

x= -2

Step-by-step explanation:

y=x+4

y=2

2=x+4

-4+2=x

-2=x

x=-2

Answer:

x= -2

Step-by-step explanation:

I have stopped going to school due to my mental break downs because of school so my teachers started sending me my work i have missed but the only thing i was not at school to learn how to do it so please help me....!!

Answers

Answer:

1. C.

2. A.

3. B.

i just know those im sorry-

Answer:

1 - c 6.4 ×10^6

2 - a 6.4 ×10

3- b 6.04 ×10^5

4) 5.21× 10^8 × 1.6km

=8.33×10^8 km

5) 10,000,000,000 = 1 ×10^10

BRAINLIST PLS

(High School Geometry) What is the minimum number of regions that are formed by 100 distinct lines in a plane? What is the maximum number of regions formed by 100 lines in the plane?

Answers

Answer:

101 - min, 5051 - max

Step-by-step explanation:

Minimum number of regions

You may have 100 parallel lines. This will give us 101 regions

Use following formula to find the maximum possible number of regions:

R(n) = 1 + n(n + 1)/2, where n is the number of linesR(100) = 1 + 100*101/2 = 5051

a drink in japan costs 374 yen. The exchange rate is £1 = 189 yen. What is the cost in pounds

Answers

Answer:

Roughly £2

Step-by-step explanation:

multiply the echange rate by 2 , its 378Yen


Help please ASAP !

Answers

Tha last one PR=XY is not true.

It should be PR=XZ.

Maria scar' gets 28 miles to the gallon. How many miles is her round trip to work

Answers

Yk que han dicho nada de la que ha dicho la gente no se han dado la cara

I NEED THE ANSWR ASAP: Write the number as a power with a base of 5.
125^3

Answers

Answer:

5^9

Step-by-step explanation:

I had this question before.

A car moves at a speed of 45 km/h for 20 minutes. what is the distance traveled by the car ?

don't ya ans if u don't know
no plagiarism and spams
need a well explained ans

Answers

Speed of car

[tex]45 \frac{km}{h} [/tex]

Time : 20 min

[tex] \frac{20}{60} h[/tex]

[tex] \frac{1}{3} h[/tex]

We have , speed

[tex] = > \: \frac{distance}{time} [/tex]

:. Distance

[tex] = > \: speed \: \times \: time \\ = > \: 45 \frac{km}{h} \: \: \times \frac{1}{3} h \: \: \\ = > 15 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]Hence , the distance covered by the car is 15 km

parallel to y = 1/5x-4 and goes through (10,-2) in point slope form

Answers

Answer:

y + 2 = [tex]\frac{1}{5}[/tex] (x - 10)

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 )

y = [tex]\frac{1}{5}[/tex] x - 4 ← is in slope- intercept form

with slope m = [tex]\frac{1}{5}[/tex]

Parallel lines have equal slopes

The equation of a line in point- slope form is

y - b = m(x - a)

Here (a, b ) = (10, - 2 ) , then

y - (- 2) = [tex]\frac{1}{5}[/tex](x - 10) , that is

y + 2 = [tex]\frac{1}{5}[/tex](x - 10) ← in point- slope form

Find the area of triangle PQR.

Answers

Answer:

70°

Step-by-step explanation:

Since  PTS shape is equal to QTR

and  PTQ shape is equal to STR

and Since QTP = 10

and Since  PTS = 60

Add both up 70

Therefore PQR = 70°

If 8 km = 5 miles, convert 350 miles into km.

Answers

Answer:

560 is your answer... I hope it helps

Uhm what the person said ^^

A manufacturer produces cell phone she estimates that by selling them for x dollars she will be able to sell them for 285 minus 2X each week determine what the maximum revenue will be round your answer to two decimal places

Answers

Answer:

38.30

Step-by-step explanation:

because 230 -6x=0

Other Questions
What is the sum of 2 of the interior angles of a regular pentagon? Question 8 of 10The blue segment below is a radius of 0. What is the length of the diameterof the circle?A. 6.35 unitsB. 25.4 unitso12.7C. 19.05 unitsOD. 12.7 units Prove Did cellular respiration occur in trial 3 with the yeast and sugar?Yes or no PbPeter the Great sought to build agreat, powerful state by usingcustoms, manners, andtechnology from somewhere else.How did this approach differ fromthat used by Louis XIV in France?dF -8x+60=28 word problems pls (imagine)You are getting married to someone your maid is helping you get ready for your wedding she ask "You're highness why are you marrying someone that you dont know......you're highness i will help you escape from him if you want to you're highness"(Whats your answer) what is better gacha club or gacha life Who won the election of 1860 AND why? Was locating a manufacturing facility in the United States a hood business move for Kia If Earth's axis were not tilted, could any area have both a hot summer and a cold winter? A child is developing _____ when they begin to understand that other people have thoughts, emotions, and perceptions. How did she get from the stage to the balcony crossword. it is regarded as the highest form of chinese painting 1. How did President Jackson ease the Nullification Crisis?2.What was President Jacksons view on the native American? Why do you think he may have felt as he did? answer both plzzz!!! 2950 divided by 67 in partial quotints Someone plz help me :( who was the first poet to read at a presidential inauguration PLEASE HELP ILL MARK BRAINLIEST ASAP AND NO LINKS PLEASE Se dispone de un recipiente de 60 litros que contiene un gas de 1,64 atm y a una temperatura de 100K Cuntos moles de gas hay? *