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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:

the combination of numbers must then be:

9.7 + 8.6 which results to 18.3

9.6 + 8.7 yields 18.3 as well.

5 0
3 years ago
If TSP and PSW are supplementary, and TSP is two times as large as mPSW, what is mTSP?
Burka [1]

Answer:

\huge\boxed{120 \textdegree}

Step-by-step explanation:

In order to solve for m∠TSP, we can use basic angle relationships and equations.

Let’s assume m∠PSW is x°

We know that if two angles are supplementary, their angle lengths will add to 180°.

We also know that m∠TSP is twice as large as PSW. Since PSW is represented as x°, TSP will be 2x°.

We can add these two angles together and get 180°. Then you can solve for x (PSW)

  • x+2x=180
  • 3x=180
  • x=60

So we know that x (PSW) is 60°. However, the question asks for the measure of TSP. We know that TSP is twice as large as PSW, so we can multiply PSW (60) by 2.

60 \cdot 2 = 120

So m∠TSP is 120°.

Hope this helped!

3 0
4 years ago
Based on a website, Ellen knows that 5 slices of pizza have 1,900 calories.
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Answer:

part A-760

part b-she eats halve a slice of pizza because there is  380 calories in a slice of a pizza and 380 divided by 2 is 190 so she only eats halve.

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Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A 12 cm x 2 cm rectangle sits inside a circle with radius of 8 cm.
hammer [34]

Answer:

Diagram was not given.

Still I had drawn it, hope may it will helpful to you. So as per my diagram I had solved the sum.

The area of the shaded region is 176.96 ≈ 178 cm²

Step-by-step explanation:

Given:

radius of the circle        = r  = 8 cm

length of the rectangle = L = 12 cm

breadth of the rectangle = B = 2 cm

To Find:

Area of shaded region = ?

Solution:

\textrm{Area of rectangle} = Length\times Breadth\\= L\times B\\= 12\times 2\\= 24\ cm^{2}

\textrm{Area of Circle} = \pi \times (radius)^{2} \\=\pi \times r^{2}\\=3.14\times 8^{2}\\=200.96\ cm^{2}

Now, The Area of Shaded region will be

\textrm{Area of Shaded region}=\textrm{Area of Circle}-\textrm{Area of Rectangle}\\=200.96 - 24\\=176.96\ cm^{2} \\=178\ cm^{2}\........... \textrm{Rounded to tenth}

The area of the shaded region is 176.96 ≈ 178 cm²

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4 years ago
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Which statmen is true about the slope of the line rt​
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