A lunette is a semi-circle, which means that it is one half of a circle. To find its area, we can find the area of the whole circle and divide it by two.
Area of a circle: A = pi x r^2
r = 40 / 2 = 20
A = pi x 20^2
A = 400pi / 2 = 200pi
200pi = 628.32
The area of the lunette is approximately 628 in^2.
Hope this helps!! :)
Using Gaussian elimination:
x + y + z = 9 / * ( - 2 ) / ( - 1 ) ( we will multiply by - 2 and add to the 2nd 2 x - 3 y + 4 z = 7 equation and multiply by - 1 and add to the 3rd equation )
x - 4 y + 3 z = - 2
-----------------------------
x + y + z = 9
- 5 y + 2 z = - 11 / * ( - 1 )
- 5 y + 2 z = - 11
---------------------------
x + y + z = 9
- 5 y + 2 z = - 11
0 z = 0
There are infinitely many solutions to the system of equations.
z = t,
- 5 y + 2 t = - 11
5 y = 11 + 2 t
y = ( 11 + 2 t ) / 2
x + ( 11 + 2 t ) / 2 + t = 9 / * 2
2 x + 11 + 2 t + 2 t = 18
2 x = 18 - 11 - 4 t
x = ( 7 - 4 t ) / 2
( x, y , z ) = ( (7 - 4 t ) / 2, ( 11 + 2 t ) / 2, t )
if Malachy gets £44 then Paul get $55.
Step-by-step explanation:
Malachy and Paul win some money and share it in the ratio = 4:5
if Malachy gets £44 we need to find how much did Paul get?
let Paul get x so, we will have
4:5=44:x
Cross multiply and solve:
So, Paul get $55
Keywords: Ratio
Learn more about Ratio at:
#learnwithBrainly
Answer = 63
Explanation
You could set up a ratio of y1/y2 = x1/x2
In your case
3/21=9/x
3x=189
X=63
Set up a proportion.
flagpole/shadow = woman/her shadow.
f/s1 = w/s2
f = 42.9
s1 = 253
w = 6.2
s2 = ??? = x
42.9/253 = 6.2 / x
42.9 x = 253*6.2
42.9 x = 1568.6
x = 1568.6 / 42.9
x = 36.56 The womans shadow is 36.56 feet long <<<< ===== answer.
