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3 years ago

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1 answer:

agasfer [191]3 years ago

5 0

We use the Work formula to solve for the unknown in the problem which is W = F x d. First, we solve for the Net Force acting on the car. The Net Force is the summation of all forces acting on the object. For this case, we assume that Friction Force is negligible thus the Net Force is equal to:

F = mgsinα in terms of SI units and in terms of english units we have F = m(g/g₀)(sin α) where g₀ is the proportionality factor, 32.174 ft lb-m / lb-f s²

F = 2500 (32.174/32.174) (sin 12°) = 519.78 lb

W = Fd = 519.78 lb (400 ft) = 207912 ft - lb or 20800 ft-lb

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1000 cylindrical metal bars of length 120 m and diameter 0.2 m , as shown below, are to be used in constructing a bridge. He bar

Troyanec [42]

Answer:

the number of of litres of paint to the nearest litre for 1000 bars is 1 litre

Step-by-step explanation:

Given that:

1000 cylindrical metal bars have :

a length of 120 m

and a diameter of 0.2 m

The volume of the cylindrical bar can be calculated by the formula:

$V= \pi r^2 h$

where ;

radius $r=\dfrac{d}{2}$

$r = \dfrac{0.2}{2}$

r = 0.1 m

the length of the cylindrical metal bars is equal to the height of the metal bar = 120 m

Thus the volume can now be calculated as follows:

$V= \pi* 0.1^2*120$

V = 3.77 m³

So; from the given information.

One litre of paint will cover 4m³

and we want to find how many litres of paint will be used for the 1000 cylindrical bars.

If 1 litre = 4m³

Then x litre = 3.77 m³

4x = 1 × 3.77

$x = \dfrac{1*3.77 }{4}$

x = 0.9425 litres

x = 1 litres to the nearest litres.

Thus ; the number of of litres of paint to the nearest litre for 1000 bars is 1 litre

4 0

4 years ago

If an item is 4.75 before tax and after is 5.13 how much is the sales tax rate?

Anestetic [448]

Answer:

8%

Step-by-step explanation:

Let's say the tax percent was x%. Then, we can write the equation:

4.75 + x% * 4.75 = 5.13

Notice that both terms on the left have 4.75 so factor that out:

4.75 * (1 + x%) = 5.13

Divide both sides by 4.75:

1 + x% = 5.13/4.75 = 1.08

Subtract 1 from both sides:

x% = 0.08

Remember that % simply means "out of 100", so x% = x/100:

x/100 = 0.08

Multiply both sides by 100:

x = 8

Thus, the tax rate is 8%.

Hope this helps!

5 0

4 years ago

Read 2 more answers

Is 12.91 a rational number

Musya8 [376]

Answer:

rational

Step-by-step explanation:

5 0

3 years ago

The length of a rectangle is 3 units shorter than one-third of the width, x. Enter an expression in the box that represents the

sattari [20]

P = 2(L + W)
L = 1/3W - 3

P = 2(1/3W - 3 + W)
P = 2 (4/3W - 3)
P = 8/3W - 6

4 0

4 years ago

Read 2 more answers

Between which two numbers is Negative 1.5 located on a number line?

Ede4ka [16]

Between -2&-1 is the answer

5 0

3 years ago

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