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valentina_108 [34]
3 years ago
5

it takes 8 labours 6days to complete a certain job.how many labours would complete the job in 15 days.​

Mathematics
1 answer:
VashaNatasha [74]3 years ago
3 0

Answer:

Step-by-step explanation:

Required man days to complete the job = 8 * 6

                                                                   = 48 Man Days

Required labors to complete the job by 15 days = 48/15

                                                                               = 3.2

It means, it is required 4 labors can complete the certain work by 15 days

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Wow...we have lots of numbers to go through.  we know that a 6 sided figure is a hexagon and the interior angles add up to be 720°. so.....

∠A + ∠B + ∠ C + ∠D + ∠E + ∠F = 720°
(x - 60) + (x - 40) + 130 + 120 + 110 + (x - 20) = 720
3x + 240 = 720      (combined all like terms)
3x = 480                (subtracted 240 from both sides)
x = 160                  (divided both sides by 3)

put the value of x into ∠A  (x - 60) = 160 - 60 = 100

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7 0
3 years ago
A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the
Stolb23 [73]

Answer:

  • t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

Explanation:

<u>1) Explanation of the model:</u>

  • Given: h(t) = -16t² + 48t

  • This is a quadratic function, so the height is modeled by a patabola.

  • This means that it has a vertex which is the minimum or maximu, height. Since the coefficient of the leading (quadratic) term is negative, the parabola opens downward and the vertex is the maximum height of the soccer ball.

<u>2) Axis of symmetry:</u>

  • The axis of symmetry of a parabola is the vertical line that passes through the vertex.

  • In the general form of the parabola, ax² + bx + c, the axis of symmetry is given by x = -b/(2a)

  • In our model a = - 16, and b = 48, so you get: t = - ( 48) / ( 2 × (-16) ) = 1.5

<u>Conclusion</u>: since t = 1.5 is the axys of symmetry, it means that at t = 1.5 the ball reachs its maximum height and that it will take the same additional time to fall back to the ground, whic is a tolal of  1. 5 s + 1.5 s = 3.0 s.

Answer: t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

8 0
3 years ago
3. Gavin deposited $1500 into his savings account that is compounded quarterly at an interest rate of 1.5%. How much money will
wolverine [178]

Answer:

\$1,616.60  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=5\ years\\ P=\$1,500\\ r=1.5\%=1.5/100=0.015\\n=4  

substitute in the formula above  

A=1,500(1+\frac{0.015}{4})^{4*5}  

A=1,500(1.00375)^{20}  

A=\$1,616.60  

7 0
3 years ago
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GenaCL600 [577]
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3 years ago
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Airida [17]
<span>On the number line, p would be to the left of 2/3. The sum of p and 2/3 equals 0.</span>
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