Answer:the answer is 12
Step-by-step explanation: i just set the ratio and solved for X
Answer: SOLN,
let,<FHC be x
<GHC+<FHC( sum of angle of triangle=180 degree
x+6m+55+8m+55=180
x+ 14m+110=180
x+14m=180-110
x+14m=70
x=70 divied by 14m
x=5m
therefore,the value of <FHC is 5m.
W= width= L+5
L= length
Area= 204
Area= LW
204 square yards= LW
substitute w=L+5 for w
204= (L)(L+5)
204= L^2 + 5L
subtract 204 from both sides
0= L^2 + 5L - 204
factor
0= (L+17)(L-12)
0= L+17
-17= L
0= L-12
12 yards= L
WIDTH
Since the area cannot be a negative number, we'll use L=12 to find the width.
w=L+5
w=12+5
w=17 yards
CHECK:
204=(12)(17)
204=204
ANSWER: The length is 12 yards and the width is 17 yards.
Hope this helps! :)
73 is the number that is 7 tens and 3 ones
Answer:
There is no unique solution to this problem.
There are infinitely many solutions to this problem.
Step-by-step explanation:
Let B denotes broccoli crop
Let S denotes spinach crop
Last year, he grew 6 tons of broccoli per acre and 9 tons of spinach per acre, for a total of 93 tons of vegetables.
Mathematically,
6B + 9S = 93 eq. 1
This year, he grew 2 tons of broccoli per acre and 3 tons of spinach per acre, for a total of 31 tons of vegetables.
Mathematically,
2B + 3S = 31
2B = 31 - 3S
B = (31 - 3S)/2 eq. 2
Substitute eq. 2 into eq. 1
6B + 9S = 93
6[(31 - 3S)/2] + 9S = 93
3(31 - 3S) + 9S = 93
93 - 9S + 9S = 93
- 9S + 9S = 93 - 93
0 = 0
Therefore, there is no unique solution to this problem.
Which means that there are infinitely many solutions to this problem.