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dimulka [17.4K]
2 years ago
7

Question 13

Mathematics
1 answer:
solmaris [256]2 years ago
4 0

The difference, to the nearest gram, of the masses of the rectangular

prisms  is 1393.2 grams.

<h3>What is the volume of the rectangular prism?</h3>

The volume of the rectangular prism is the product of the length, breadth, and height of the given prism.

Volume of rectangular prism = (length x width x height)

Joe has a rectangular prism made of aluminum and a rectangular prism made of lead.

Each rectangular prism has a height of 6 cm, length of 9 cm, and width of 3 cm.

The volume of a rectangular prism made of aluminum  = (length x width x height)

= 6 \times 9\times 3\\\\162

The volume of a rectangular prism made of lead= (length x width x height)

= 162 cubic cm

We know that mass = density x volume

The density of aluminum is approximately 2.70.

mass = 2.70 x 162

          = 437.4 grams

The density of lead is approximately 11.3 cm3

mass = 11.3 x 162

          = 1830.6 grams

The difference, to the nearest gram, of the masses of the rectangular

prisms  1830.6 - 437.4  = 1393.2 grams

Learn more about rectangular prism;

brainly.com/question/15843335

#SPJ1

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Answer:

10 is the base number, and 5 is the exponent

Step-by-step explanation:

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3 years ago
rectangle with a perimeter of 1110 meters, this rectangular shape is 30 meters longer than 6 times its width. find its dimension
Alecsey [184]

Answer:

The width of the rectangle is  75 meters and length is 480 meters.

Step-by-step explanation:

The perimeter of the rectangle = 1110 meters

Let the width of the rectangle = k meters

So,the length of the rectangle = 6k + 30

Now, PERIMETER OF A RECTANGLE = 2(LENGTH + WIDTH)

⇒ 1110 = 2( k + (6k + 30))

or, 1110 = 14 k + 60

or, 14 k = 1110 - 60 = 1050

⇒ k = 1050/14 = 75

Hence, the width of the rectangle is k =  75 meters

and the Length of the rectangle is 6k + 30 = 6(75) +30

= 480 meters

6 0
4 years ago
An architect plans to buy 5 stone spheres and 3 stone cylinders. For the same​ amount, she can buy 2 stone spheres and 6 stone c
Vedmedyk [2.9K]

The cost of each stone sphere is $ 36.81

<em><u>Solution:</u></em>

Given that,

An architect plans to buy 5 stone spheres and 3 stone cylinders

For the same​ amount, she can buy 2 stone spheres and 6 stone cylinders

Let "x" be that same amount

Let "a" be the cost of each stone sphere

Cost of each stone cylinder = $ 36.81

Therefore,

x = 5 stone spheres and 3 stone cylinders

x = 5a + 3(36.81)

Similarly,

x = 2 stone spheres and 6 stone cylinders

x = 2a + 6(36.81)

Equate both,

5a + 3(36.81) = 2a + 6(36.81)\\\\5a + 110.43 = 2a + 220.86\\\\5a - 2a = 220.86 - 110.43\\\\3a = 110.43\\\\a = 36.81

Thus cost of each stone sphere is $ 36.81

7 0
3 years ago
Determine if the two triangles are congruent. If they are state how you know.
Elanso [62]

Answer:

3,4,5 are congruent angles

Step-by-step explanation:

Congruent Angles have the same angle (in degrees or radians). That is all. They don't have to point in the same direction. They don't have to be on similar sized lines.

3 0
4 years ago
Read 2 more answers
Please brake down why !
lana66690 [7]

Answer:

D

Step-by-step explanation:

using the rule of radicals

• \sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

simplifying \sqrt{32}

\sqrt{32} = \sqrt{16(2)} = \sqrt{16} × \sqrt{2} = 4\sqrt{2}

\sqrt{32} + 5\sqrt{2}

= 4\sqrt{2} + 5\sqrt{2} = 9\sqrt{2} → D



4 0
3 years ago
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