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forsale [732]
3 years ago
9

using the formula v=l×w×h , find the volume of a right rectangular prism when the length of the prism is 45cm , the width is 12c

m, and the height is 10cm.
Mathematics
2 answers:
DedPeter [7]3 years ago
5 0
45x12x10

5400 should be the answer
Natali [406]3 years ago
3 0
The volume of the rectangular of prism is 5400
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1. Drag and drop an answer to each box to correctly complete the derivation of a formula for the area of a sector of a circle.
N76 [4]

Answer:-

Central angle , Ф/2π , A = Ф/2 r²

The ratio is 1/3 , V = 1/3 Bh

The equation of the circle in standard form is (x - 4)² + (k - 1)² = 25

Step-by-step explanation:

* Lets revise the rules of the area of the sector of a circle

- The area of the sector which has a central angle Ф° is

  (Ф°/360°) × πr², where 360° is the measure of the circle and r is

  the radius of the circle

- The area of the sector which has a central angle Ф radians is

  (1/2) r²Ф

* Lets complete the missing in the 1st picture

- The ratio of the sector's area A to the circle's area is equal to the

  ratio of the <u>central angle</u> to the measure of a full rotation of the circle

- A full rotation of a circle is 2π. This proportion can written as

 A/πr² = <u>Ф/2π</u>

<em>- </em>Multiply both sides by πr² to get <u>A = Ф/2 r²</u> where Ф is the measure

 of the central angle and r is the radius of the circle

* Lets revise the rules of the volume of the prism and the volume

 of the pyramid, where they have the same base and height

- The volume of the prism = area of the base × its height

- The volume of the pyramid = 1/3 × area of the base × its height

- From them the ratio of the volume of the pyramid to the volume

 of the prism is <u>1/3</u>

- The formula of the volume of the prism is V = Bh, where B is the

  area of the base and h is the height, the formula of the volume

  of the pyramid is <u>V = 1/3 Bh</u>

<u></u>

* Lets revise the standard form of the equation of a circle with

 center (h , k) and radius r

- The equation is: (x - h)² + (y - k)² = r²

∴ x² - 2hx + h² + y² - 2ky + k² - r² = 0

∵ x² - 8x + y² - 2y - 8 = 0

- Lets equate the two equation

∴ x² - 2hx + h² + y² - 2ky + k² - r² = x² - 8x + y² - 2y - 8 = 0

∵ -2h = -8 ⇒ ÷ -2

∴ h = 4

∵ -2k = -2 ⇒ ÷ -2

∴ k = 1

∵ h² + k² - r² = -8

∴ (4)² + (1)² - r² = -8

∴ 16 + 1 - r² = -8

∴ 17 - r² = -8 ⇒ subtract 17 from both sides

∴ -r² = -15 × -1

∴ r² = 25

* Substitute the values of h , k , r in the equation of the standard

 form of the circle

∴ (x - 4)² + (k - 1)² = 25

* The equation of the circle in standard form is <u>(x - 4)² + (k - 1)² = 25</u>

<u></u>

8 0
3 years ago
63 40 51 70 36 21 51 28 19 find the mean of data
nikklg [1K]

Answer:

42.11

Step-by-step explanation:

Add all of the numbers, and then divide the total of the numbers by 9. With 9 being how many numbers are added.

5 0
3 years ago
Multiply (-y-3w )(7y+w-5)
Artist 52 [7]
That’s the answer if you multiply .

8 0
3 years ago
Lindsey is an avid reader and reads 30 pages every 8 days. How many pages per day does Lindsey read?
Romashka [77]

Answer:

You use the total amount divided by the time.

The answer is 30/8, or 15/4

Step-by-step explanation:

Please mark Brainliest!

8 0
2 years ago
what is Two times the sum of a number and four is no more than three times the sum of the number and seven decreased by four.
hjlf
2(x+4) ≤ 3(x+7 – b)  
95% sure
5 0
3 years ago
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