5m+3n=413---(1)
m-6n=9----(2)
(1)*2; 10m+6n=826 -----(3)
(3)+(2); 10m+m+6n-6n=9+826
11m=935
so m=85
from (2); m-6n=9
85-6n=9
85-9=6n
76= 6n
so n= 76/6 = 38/3
Answer:
6cm
Step-by-step explanation:
let height of ladder be x
so if height of ladder is x then the distance from the base of the ladder to the base of the slide is x+2
Assuming this is a right angle triangle, the slide is the longest lenght (c)
so
x²+(x+2)²=10²
x²+x²+4x+4=100
2x²+4x+4=100
2x²+4x+4-100=0
2x²+4x-96=0
2(x²+2x-48)=0
x²+2x-48=0 -- Factor
(x+8)(x-6)=0
x=-8 and x=6
since height cannot be a negative number
height of ladder is 6 cm
Answer:
Step-by-step explanation:
<em>See the attached.</em>
The path goes along the perimeter of the park and parallel to the sides, something like the picture attached.
<u>The path is 1 m wide and the total length is:</u>
We need to consider the dark cells points in the picture with reflects the overlaps. They are counted twice and each is 1 m x 1 m.
<u>Subtracting the duplicated area 9 x 1 m² to get the total area of the path:</u>
<u>The cost of cementing is:</u>
Answer:
Step-by-step explanation: