Answer: 9x - 1 = 9(2) - 1 = 17
Step-by-step explanation:
m∠ABD = m∠ABC + m∠CBD
87 = 9x -1 + 6x + 58
87 = 15x + 57
30 = 15x
2 = x
3️⃣0️⃣. Five times 6 is 30 and the pattern counts by five.
The number of hours it will take both the surveyor and apprentice to complete the same job is 15/56 hours.
<h3>Rate of work</h3>
- Hours it takes the experienced surveyor = 7 hours
- Surveyors rate of work = 1/7
- Hours it takes the apprentice = 8 hours
- Apprentice rate of work = 1/8
If the two work together;
Time taken for both to complete the task = Surveyors rate of work + Apprentice rate of work
= 1/8 + 1/7
= (7+8) / 56
= 15/56 hours
Therefore, the number of hours it will take both the surveyor and apprentice to complete the same job is 15/56 hours.
Learn more about rate of work:
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volume is the side length cubed(s^3). So if you take the cube root of 125 you can find the side length of the cube.
Volume of cube, V = edge^3
Let edge of cube#1 = (x-4) m, therefore volume of cube#1, v1 = (x-4)^3 m
Let edge of cube#2 = x m, therefore volume of cube#2, v2 = x^3 m
Diff. in volume (in m) = 1216 = v2-v1 = [ x^3 - (x-4)^3 ]
= x^3 - [(x-4)(x-4)(x-4)]
= x^3 - [<span>x^2 - 8x +16(x - 4)]
= </span> x^3 - [ x^3 - 12x^2 + 48x - 64 ]
= 12x^2 - 48x + 64
= 4 (3x^2 - 12x + 16)
Therefore 4 (3^2 - 12x + 16) = 1216
3x^2 - 12x + 16 = 1216/4 = 304
3x^2 - 12x - 288 = 0
3 (x^2 - 4x - 96) = 0
(x^2 - 4x - 96) = 0
(x - 12) (x + 8) =0
(x-12) = 0
Therefore x = 12 m
Edge of cube#2 = x m = 12m
Edge of cube#1 = (x-4) m = 8m
