the diagonal of a square is 50cm long. how long are the sides of the square?

Answers

Answer 1
#1
avatar
+5
The diagonal is the hypotenuese of a Right Triangle, so use the Pythagorean Theorom
a^2 + b^2 = c^2

Since it is a square a = b
so a^2 + a^2 = 50^2
2a^2 = 2500
a^2 =1250
a = 35.355 cm = lenght of a side

Related Questions

Evaluate –10 • x • 5 when x = –1.


–50


–15


6


50

Answers

The answer is 50 ! :-)

The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $5500 to rent trucks plus an additional fee of $125.25 for each ton of sugar. The second company charges 3691 to rent trucks plus an additional fee of 225.75 for each ton of sugar.
For what amount of sugar do the two companies charge the same?

What is the cost when the two companies charge the same?

Answers

5495 + 200.75x = 7500 + 100.50x
100.25x = 2005
x=20 <- the amount of sugar at the equilibrium point.
7500 + 100.50(20)
7500 + 2005
$9505 <- the cost at that point. ■

Define Rational number? And give some examples..​

Answers

Answer:

Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers. For example, 17 and 214 represent the same rational number.)

When factoring the equation 9x2+9x+2 what two numbers will the "9x" term be broken into?

Answers

Answer:

it will be broken into 9*what ever x is

Hope This Helps!!!

Answer:

9×x

Step-by-step explanation:

18+9x+2

20+9×x

that means 9 and x

Find the EXACT distance between the two points.



(9, 31) and (12, 25)

Answers

Subtract the big x coordinate from the small x coordinate and the big y coordinate from the small y coordinate. 12-9=3, and 31-25=6. 3 X points and 6 y points away.

Step-by-step explanation:

the distance between 2 points is the Hypotenuse of a right-angled triangle. its legs are the x and y coordinate differences.

and so, we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse, and a, b being the legs.

so,

the x difference is 9-12 = -3

the y difference is 31-25 = 6

therefore,

distance² = (-3)² + 6² = 9 + 36 = 45

distance = sqrt(45) = 6.708203932...

Solve the Math problem

Answers

Answer:

1. Becky, 2. No one, 3. Brian and Carol, 4. Tom, 5. Jake

Step-by-step explanation:

The order has to be Brian, Tom, Jake, Becky, and Carol.

1. Becky

2. No one

3. Brian and Carol

4. Tom

5. Jake

What is the reference angle and cosine of StartFraction 7 pi Over 6 EndFraction ?

Answers

Answer:

[tex]\frac{\pi}{6}[/tex] radians

[tex]cos(\frac{7\pi}{6})=-\frac{\sqrt{3}}{2}[/tex]

Step-by-step explanation:

A reference angle is an acute angle between the terminal arm/terminal side and the x-axis. In this case, the reference angle is [tex]\frac{7\pi}{6}-\pi=\frac{\pi}{6}[/tex].

As for [tex]cos(\frac{7\pi}{6})[/tex], we can identify the value of it using the unit circle as attached below. Recall that points on the unit circle are defined as [tex](cos(\theta),sin(\theta))[/tex], so [tex]cos(\frac{7\pi}{6})=-\frac{\sqrt{3}}{2}[/tex].

I NEED HELP WITH MATH PLEASEEE??!

Answers

Answer:

  y = -x +2

Step-by-step explanation:

The slope can be found from the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (6 -5)/(-4 -(-3)) = 1/-1 = -1

The y-intercept can be found from ...

  b = y -mx

  b = 5 -(-1)(-3) = 2

The slope-intercept equation for the line is ...

  y = mx +b

  y = -x +2 . . . . use the values of m and b we found

Part E
While diving, Winston stopped at a point located halfway between his deepest dive and the ocean’s surface. At what elevation was Winston when he stopped halfway? PLzzzzzz HURRRY UUUPPP Ill give whoever answers this RIGHT NOW 100pts, no joke

Answers

At the ocean’s surface, the elevation is 0. Meaning, his deepest dive divided by two would be halfway (and a negative)

Ex.
Deepest dive: -1000
Halfway: -500

Answer:

im pretty sure that the answer is -50.5 feet.

Step-by-step explanation:

PLEASE ANSWER FAST....Which expressions have a value equal to or greater than 13?

I WILL MARK BRAINLIEST

Answers

Answer: D and B

Step-by-step explanation:

D: 10/10 can be simplified to 1/1, or 1. 1 times 13 is equal to 13.

B: 4 x 13 is simply 52.

Hope this helps!

A. 5/6 x 13 = 10.83

B. 4 x 13 = 52

C. 3/4 x 13 = 9.75

D. 10/10 (1) x 13 = 13

B. 4 x 13 & D. 10/10 (1) x 13 are your answers.

help please i dont want to fail

Answers

76, g(8) = 63+12 which equals 76

what is the constant proprotionality in the equation y =7x

Answers

Answer:

7

Step-by-step explanation:

y=kx is the general formula for direct proportion where k is the constant. In your equation instead of k there is 7 so 7 is the constant.

If 21 and 35 are two members of a Pythagorean triple, what is the third member?.

Answers

The third member of the Pythagorean triple is 28 and this can be determined by using the Pythagorean theorem.

Given :

21 and 35 are two members of a Pythagorean triple.

The following steps can be used in order to determine the third member of the Pythagorean triple:

Step 1 - The Pythagorean theorem can be used in order to determine the third member of the Pythagorean triple.

[tex]H^2 = P^2+B^2[/tex]

where the hypotenuse is H, the perpendicular is P, and the base is B of the right-angle triangle.

Step 2 - Now, substitute the value of H and P in the above expression in order to determine the value of 'B'.

[tex]35^2 = 21^2+B^2[/tex]

Step 3 - Simplify the above expression.

[tex]B^2= 784[/tex]

[tex]B = 28[/tex]

So, the third member of the Pythagorean triple is 28.

For more information, refer to the link given below:

https://brainly.com/question/21149612

Which rectangle is similar to a rectangle with length of 12 yards and 23 yards?
a rectangle with length 14 yards and 13 yards

a rectangle with length 14 yards and 25 yards

a rectangle with length 2 yards and 3 yards

a rectangle with length 212 yards and 223 yards

Answers

Answer:

a rectangle with 2 yards and 3 yards

Step-by-step explanation:

12 yards and 23 yards

x and 2x - 1

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

2 and 3 = x and 2x - 1

2 and 2(2) - 1 = 2 and 3

I might be wrong.

Factor 18r+12s. Write your answer as a product with a whole number greater than 1.

Answers

Answer:

6(3r + 2s)

Step-by-step explanation:

Find the gcf of 18 and 12, then divide both and put it inside the parentheses.

hlo preparation for exam help with this question?? °_*!
If p/q=q/r then prove that
p3+q3+r3=(1/p3+1/q3+1/r3)p2q2r2 ​

Answers

Hope you could get an idea from here.

Doubt clarification - use comment section.

The equation [tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^2q^2r^2[/tex] has been proved to be true

The equation is given as:

[tex]\frac pq = \frac qr[/tex]

Cross multiply

[tex]pr = q^2[/tex]

Rewrite as:

[tex]q^2 = pr[/tex]

Also, we have:

[tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^2q^2r^2[/tex]

Substitute [tex]q^2 = pr[/tex]

[tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^3r^3[/tex]

Expand

[tex]p^3+q^3+r^3=\frac{1}{p^3} \times p^3r^3 +\frac{1}{q^3} \times p^3r^3 +\frac{1}{r^3} \times p^3r^3[/tex]

Simplify

[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times p^3r^3 + p^3[/tex]

Rewrite as:

[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times (pr)^3 + p^3[/tex]

Substitute [tex]pr = q^2[/tex]

[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times (q^2)^3 + p^3[/tex]

[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times q^6 + p^3[/tex]

Divide q^6 by q^3

[tex]p3+q3+r3=r^3 +q^3 + p^3[/tex]

Rewrite the equation as:

[tex]p3+q3+r3=p^3 +q^3 + r^3[/tex]

Hence, the equation has been proved

Read more about equations at:

https://brainly.com/question/13729904

What is the equation of the line that passes through the point(-6,-5) and has a slope of -1/2

Answers

Answer:

y=-1/2x-8

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=-1/2(x-(-6))

y+5=-1/2(x+6)

y=-1/2x-6/2-5

y=-1/2x-3-5

y=-1/2x-8

A musician has just purchased a theremin — an instrument that can be played by moving your hands in the air. For every 30 centimeters that she moves her hand away from the theremin’s antenna, the pitch of the theremin’s sound drops 500 hertz. By how many hertz does the pitch drop for every meter that she moves her hand away?

Answers

Answer:

1665 hertz

Step-by-step explanation:

30 x 3.33 = 1 (1 meter) so 500 x 3.33 = 1665 (1 meter of movement)

Which graph shows a negative acceleration?

Answers

Answer:

Second Graph.

Explanation:

It's the only graph that is concave down and the slope is decreasing.

what is the answer of 3125 ÷ 25 and show how you got the answer

Answers

Answer:

125

Step-by-step explanation:

because 3125 divided 25 equals 125.

how do you want me to show you how i divided?

Answer:

125 is the answer, you can check this by simply multiplying 125 by 25, which will give you 3125.

Step-by-step explanation:

Find the equation of the line with slope of 2 passing through (3,1)

please

Answers

Something is wrong with the Amazon

Please answer this question.

Answers

Sequence A? Sorry if this is wrong!! Good luck!!

PLEASE HELP ME!!!!!!!

Answers

Answer:

x=6

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

So it will be x=6 you add them then subtract

1. The original price of the table was $250. Jane bought it on sale for $200.
How much did she save?
What percent of the original price did she save?

Answers

she saved 50$ but saved 20%

She saved 20%.

The price of the table was 250 and she bought it for 200, meaning 1/5 of the original price was marked off. 1/5 = 20% which means it was 20% off the original price.

WILL GIVE BRAINLIEST!
what are the values of a and b so the system of equations has infinitely many solutions?
y= -1/2x+b
y= ax + 15

Answers

Answer:

a: -1/2

b: 15

Step-by-step explanation:

A system that has infinite solutions is the same line on top of itself.

Hope that helps

Scuba Steve dove to -20 meters to view the coral. He then ascended 12 meters before he paused to take in the sights of the beautiful fish. At what depth did he pause to see the fish? Write your answer as an integer.

Answers

Answer:

-8

Step-by-step explanation:

Are the figures below similar?
NO LINKS!! NEED ANSWER ASAP​

Answers

No as they have different interior angles

Answer:

no

Step-by-step explanation:

Betty earned $159 by selling 75 Each bracelet was the same price about how much did each bracelet cost estimate the cost of each bracelet what compatible numbers did you use

Answers

Answer:

2$ compatible numbers are 200 and 100

Step-by-step explanation:

I don't know what to do

Answers

Answer:

See answer below.

Step-by-step explanation:

P(v) = -4v³ + 12v² - 9v

Point (-5, -845) is not a point on the graph

P(-5) = -4(-5)³ + 12(-5)² - 9(-5)

P(-5) = 500 + 300 + 45

P(-5) = 800 + 45

P(-5) = 845                     point (-5, 845) is a solution

solve for x and y show work please Y:______ X:_____​

Answers

Answer:

the image was not clear....hope the values are correct

Answer is in the attached file.

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