9514 1404 393
Answer:
about 9.80 cm
Step-by-step explanation:
The length of half the segment (h) can be found from the Pythagorean theorem:
h² +5² = 7²
h² = 7² -5² = 49 -25 = 24
h = √24 = 2√6
This is half the segment length, so the whole segment length is ...
L = 2h = 2(2√6)
L = 4√6 ≈ 9.7980
The length of the segment is 4√6 ≈ 9.80 cm.
Answer:
Length: 6 m
Width: 4 m
Step-by-step explanation:
Area: 24
Width: 2L - 8 m
Length: ?
Formula: A = W * L
Replace the variables:
24 = (2L - 8) * L
24 = 2 - 8L
0 = 2 - 8L - 24
or
2 - 8L - 24 = 0
Solve; if you don't know how to solve it using this method, let me know. It's the expression
1.
2.
3.
4.
5. (L-6) (2L+4)
6. L-6 = 0 AND 2L+4 = 0
L - 6 =0
L = 6
---------------------------------
2L = -4
L =
L = -2
Since the length cannot be negative, the only real value is 6.
Area: 24
Width: 2L - 8 m
Length: 6 m
Calculate width:
W = 2L - 8
W = 2(6) - 8
W = 12 - 8
W = 4 m