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r-ruslan [8.4K]
2 years ago
13

A toolbox contains 12 screwdrivers and 11 wrenches. Each screwdriver has a mass of 1,298 grams, and each wrench has a mass of 2,

282 grams. What is the mass of the screwdrivers and wrenches
Mathematics
1 answer:
kupik [55]2 years ago
8 0

Answer:

Each screwdriver has a mass of 1,298 grams, and each wrench has a mass of 2,282 grams.

Step-by-step explanation:

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A cone has a volume of 50π in3 and a diameter of 10 in. Wilson states that a cylinder with the same height and diameter has the
QveST [7]

Answer:

A cylinder in which h = 6 and d = 10 has a volume of 150π in³ ; therefore, Wilson is incorrect ⇒ last answer

Step-by-step explanation:

* Lets revise the volume of the cone and the cylinder

- The volume of cone is 1/3 πr²h, where r is its radius and h is its height

- The volume of the cylinder is πr²h

* Lets solve the problem

∵ The cone has a volume 50π inches³

∵ The diameter of the cone is 10 inches

∵ The diameter is twice the radius

∴ 2r = 10 ⇒ divide both sides by 2

∴ r = 5

∵ The rule of the volume of the cone = 1/3 πr²h

∴ 50π = 1/3 π (5²)h

∵ 50π = 1/3 (25π)h ⇒ divide both sides by 25π

∴ 2 = 1/3 h ⇒ multiply both sides by 3

∴ 6 = h

∴ The height of the cone is 6 inches

- The cylinder has the same diameter and the same height of the cone

∵ The diameter of the cone = 10 inches

∵ The height of the cone = 6 inches

∴ The diameter of the cylinder is 10 inches

∴ The height of the cylinder is 6 inches

∵ The rule of the volume of the cylinder is πr²h

∵ The radius of the cylinder = 10/2 = 5 inches

∴ The volume of the cylinder = π(5²)(6) = 150π inches³

* The volume of the cylinder not equal the volume of the cone

∴ A cylinder in which h = 6 and d = 10 has a volume of 150π in³ ;

   therefore, Wilson is incorrect.

5 0
2 years ago
Read 2 more answers
The parallelogram shown below has an area of 35 units2.
sleet_krkn [62]
The height is 5 becuase if the area is 35 that means the length is 7 so you would divide and get 5
6 0
3 years ago
The system has
vladimir2022 [97]

Answer:

One solution

Step-by-step explanation:

In this graph, the two lines only intersect once, meaning there is only one solution. If they intersect twice, then there are two solutions. If the two lines are parallel, there are no solutions. If the lines are the same, there are an infinite amount of solutions.

7 0
2 years ago
It is not a function because both (2, 2) and (2,−2) have the same x-coordinate. It is a function because both (2, 2) and (2,−2)
olya-2409 [2.1K]

Answer:

It is not a function because both (2,2) and (2,-2) have the same x-coordinate.

Step-by-step explanation:

To be a function for the same x value there should NOT be two different y values.

So, in (2, 2) and (2,-2)

For the same x value 2, there are two different y values 2, -2.

So, this is not a function.

3 0
3 years ago
How far was it from the shore to the final location of the sub
laiz [17]
There's no picture for me to help you with 
5 0
3 years ago
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