All categories

4 years ago

A walkway forms one diagonal of a square playground. The walkway is 22 m long. How long is a side of the playground?

1 answer:

5 0

You can think of a square as two isosceles right angle triangles and use Pythagoras.

x^2 + x^2 = 22^2
x^2 + x^2 = 484
2x^2 = 484
x^2 = 242
x = 11√2

One side of the playground is 11√2 m long.

You might be interested in

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides

wlad13 [49]

The correct answer for this problem is D.

3 0

3 years ago

- 2X +3Y=7<br> 5x+8y=-2<br> Solution=(_,_)

Leya [2.2K]

Answer:

The solution is the point (-2,1)

Step-by-step explanation:

we have

$-2x+3y=7$ ----> equation A

$5x+8y=-2$ ----> equation B

Solve the system of equations by graphing

Remember that the solution of the system is the intersection point both lines

using a graphing tool

The solution is the point (-2,1)

see the attached figure

3 0

4 years ago

A car can travel 96 km. on 8 liters of gas. how far can the car travel on 15vliter of gas ?

IrinaVladis [17]

so 96 km on 8 liters means if you divide both numbers by 8,

the car goes 12k on 1 liter of gas

now multiply both numbers by 15

180 km on 15 liters

180 km is your answer

4 0

3 years ago

Find the circumference and area of a circle with the diameter AB,<br> A(-8,4) and B(4,-1)

bezimeni [28]

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{-8}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{4}~,~\stackrel{y_2}{-1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AB=\sqrt{[4-(-8)]^2+[-1-4]^2}\implies AB=\sqrt{(4+8)^2+(-1-4)^2} \\\\\\ AB=\sqrt{144+25}\implies AB=\sqrt{169}\implies \stackrel{\textit{diameter}}{AB=13}~\hfill \boxed{\stackrel{\textit{radius}}{6.5}} \\\\[-0.35em] ~\dotfill$

$\bf \textit{circumference of a circle}\\\\ C=2\pi r\qquad \qquad C=2\pi (6.5)\implies C=13\pi \implies C\approx 40.84 \\\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi (6.5)^2\implies A=42.25\pi \implies A\approx 132.73$

5 0

3 years ago

what's the slope? Simplify your answer and write it as a proper fraction, improper fraction, or integer.

alexdok [17]

DEAN WINCHESTER X CASS THE ANGEL

5 0

3 years ago

A walkway forms one diagonal of a square playground. The walkway is 22 m long. How long is a side of the​ playground?

A walkway forms one diagonal of a square playground. The walkway is 22 m long. How long is a side of the playground?