Answer:
The original piece of wood is 108 cm
Step-by-step explanation:
From the given ratio, the shortest is of the ratio 5 and the longest is of the ratio 7
Let the original piece of wood be x
so the sum of the ratios will be;
5 + 6 + 6 + 7 = 24
the shortest length would be 5/24 * x
= 5x/24
the longest will be 7/24 * x = 7x/24
From the question;
7x/24 -5x/24 = 9
(7x-5x) = 24(9)
2x = 24(9)
x = (24 * 9)/2
x = 108 cm
Answer:
Width = x² + 5x - 4
Step-by-step explanation:
By the definition of an area model,
Area = Width × greatest common factor
Since, Area = 4x² + 20x - 16
And greatest common factor = 4
4x² + 20x - 16 = 4(Width)
By dividing both the sides of the equation by 4,

x² + 5x - 4 = Width
Therefore, width = (x² + 5x - 4) will be he answer.
Answer:
21/40
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
they don't eat the same food, so it rules out the first three sorry if wrong
Answer:
71°
Step-by-step explanation:
The angle of elevation of the hill can be obtiaed using trigonometry :
Given
the opposite length = 14.5 feets
Adjacent = 5 feets
The angle of elevation vabnbe obtained using :
Tan θ = opposite / Adjacent
Where θ = angle of elevation
Tan θ = 14.5 / 5
Tan θ = 2.9
θ = tan^-1(2.9)
θ = 70.97 = 71°