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3 years ago

6. A tube well is bored 800 meters deep. The 1" meter costs $250 and the

Mathematics

1 answer:

jeka57 [31]3 years ago

6 0

Answer:

The total cost of boring the 750 meters is $37,700.

Step-by-step explanation:

We know that the cost of the first meter is $250.

You want to keep on adding $50 each time you add a meter for example the cost of the second meter would be $300 because you add $250+50. Another way is that you can multiply so for the third meter it would be $350 as you $250+50(2).

In that way you can see a pattern forming and we want to subtract 1 variable when multiplying as you are already originally adding $50.

So now we want to form an equation to solve for the cost of 750 meters. The equation I would make is

250+50(750-1)

then you can solve to get 37700 that is shown below

250+50(750-1)

250+50(749)

250+37450

37700

That will be our answer!

The total cost of boring the 750 meters is $37,700.

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Pepsi [2]

Answer:

The height of right circular cone is h = 15.416 cm

Step-by-step explanation:

The formula used to calculate lateral surface area of right circular cone is: $s=\pi r\sqrt{r^2+h^2}$

where r is radius and h is height.

We are given:

Lateral surface area s = 236.64 cm²

Radius r = 4.75 cm

We need to find height of right circular cone.

Putting values in the formula and finding height:

$s=\pi r\sqrt{r^2+h^2}\\236.64=3.14(4.75)\sqrt{(3.75)^2+h^2} \\236.64=14.915\sqrt{(3.75)^2+h^2} \\\frac{236.64}{14.915}=\sqrt{14.0625+h^2} \\15.866=\sqrt{14.0625+h^2} \\Switching\:sides\:\\\sqrt{14.0625+h^2} =15.866\\Taking\:square\:on\:both\:sides\\(\sqrt{14.0625+h^2})^2 =(15.866)^2\\14.0625+h^2=251.729\\h^2=251.729-14.0625\\h^2=237.6665\\Taking\:square\:root\:on\:both\:sides\\\sqrt{h^2}=\sqrt{237.6665} \\h=15.416$

So, the height of right circular cone is h = 15.416 cm

4 0

3 years ago

Isaac is working as a security guard. He earns $8.45 an hour. He earns double time for any overtime over 40 hours. Last week he

andreev551 [17]

Answer:

$405.60

Step-by-step explanation:

If Isaac works for 40 hours will earn $8.45×40=$388. Since he worked 4 extra hours, he will earn $8.45×2×4 since he worked 4 extra hours. $8.45×2=$16.90, which is the amount he earns for every extra hour he works. $16.90×4=$67.60. Now if we add $67.60+$388=$405.60.

Hope this helps!

6 0

3 years ago

Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=11x−3 and CE=12−4x. Find the length of AC.

Oxana [17]

Answer:

AC=16 units

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. It was given that diagonals AC and BD intersect at point E.

This implies that: $AE=CE$ .