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2 years ago

Ana and Bella are sisters.They are responsible for keeping the

Mathematics

1 answer:

IgorLugansk [536]2 years ago

6 0

Answer:

Bella can complete work alone in 120 minutes

Step-by-step explanation:

Ana and Bella together can complete the shoveling in 30 minutes.

They can do a part of work in 1 minute = $\frac{1}{30}$

Ana can do work alone in 40 minutes

She can do part of work in 1 minute = $\frac{1}{40}$

So, Bella can do a part of work in 1 minute = $\frac{1}{30}-\frac{1}{40}$

= $\frac{1}{120}$

Bella can do $\frac{1}{120}$ part of work in 1 minute

Bella can do whole work in minutes = 120

Hence Bella can complete work alone in 120 minutes

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A force of 12 lb is required to hold a spring stretched 8 in. beyond its natural length. How much work W is done in stretching i

sattari [20]

Answer:

Work done in stretching the spring = 7.56 lb-ft.

Step-by-step explanation:

Normal length of the spring = 8 in or $\frac{8}{12}$ ft

= $\frac{2}{3}$ ft

If the spring has been stretched to 11 inch then the stretched length of the spring is = 11 in

= $\frac{11}{12}$ ft

Force applied to stretch the spring = 12 lb

By Hook's law,

F = kx [where k is the spring constant and x = length by which the spring is stretched]

12 = k( $\frac{2}{3}$ )

k = 18

Work done (W) to stretch the spring by $\frac{11}{12}$ ft will be

W = $\int\limits^\frac{11}{12} _0 {kx} \, dx$

= $\int\limits^\frac{11}{12} _0 {(18x)} \, dx$

= $18[\frac{x^{2}}{2}]^{\frac{11}{12}}_0$

= 9( $\frac{11}{12}$ )²

= 7.56 lb-ft

6 0

2 years ago

Please help me idk this

PIT_PIT [208]

Answer:

SA=94

Step-by-step explanation:

SA= 2(4*5) + 2(4*3) + 2(5*3)

SA=2(20) + 2(12) + 2(15)

SA=40 + 24 + 30

SA=94

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2 years ago

1/3 x 1/2<br> PLS PSL eellelele

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1/6
explanation:
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2 years ago

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I need help ? which linear function is represented by the graph?

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<h3>Answer: f(x) = (-1/2)x+1, choice B</h3>

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Explanation:

The diagonal line passes through 1 on the vertical y axis. So the y intercept is b = 1. This means the location of the y intercept is (0,1).

Start at (0,1) and move down 1 and to the right 2 to arrive at (2,0). This is another point on the diagonal line. The motion of "down 1 and right 2" is effectively the slope

slope = rise/run = -1/2

rise = -1, run = 2

The rise being negative means we have gone downhill as we move to the right.

With m = -1/2 as the slope and b = 1 as the y intercept, we go from y = mx+b to y = (-1/2)x+1

The last thing to do is replace y with f(x) to get f(x) = (-1/2)x+1 as the final answer.

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2 years ago

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