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Kipish [7]
3 years ago
6

Will give 15 point Easy math please explain your work

Mathematics
1 answer:
shtirl [24]3 years ago
4 0

Answer:

Answer is 154

Step-by-step explanation:

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Alandra's rectangular cake pan is 33cm by 23 cm. She has enough cake batter to fill it to a depth of 3 cm. Instead, Alandra want
Alisiya [41]

Answer:

Alandra can fill 60 whole cones

Step-by-step explanation:

The volume of a rectangular prism is V = L × W × H, where

  • L is its length
  • W is its width
  • H is its height

The volume of the cone is V = \frac{1}{3} π r² h, where

  • r is the radius of its base
  • h is its height

∵ Alandra's rectangular cake pan is 33 cm by 23 cm

∴ L = 33 cm and W = 23 cm

∵ She has enough cake batter to fill it to a depth of 3 cm.

∴ H = 3 cm

→ Find the volume of the batter using the 1st rule above

∵ V = 33 × 23 × 3

∴ V = 2277 cm³

∵ Alandra wants to pour the batter into ice cream cones

∵ She plans to fill each cone to a depth of 9 cm with a diameter of 4 cm

∴ h = 9 cm

∵ r = \frac{1}{2} diameter = \frac{1}{2} (4)

∴ r = 2 cm

→ Substitute them in the 2nd rule above to find the volume of each cone

∵ V = \frac{1}{3} (π) (2)² (9)

∴ V = 12π cm³

→ To find the number of cones divide the volume of the batter by

   the volume of each cone

∵ Number of cones = 2277 ÷ 12π

∴ Number of cones = 60.3993

→ We will take the whole number only because we need the whole cones

∴ Alandra can fill 60 whole cones

6 0
3 years ago
Work out the size of the interior angle of a regular 18-sided polygon.
qaws [65]

Answer:

160°

Step-by-step explanation:

The formula below gives the measure of an interior angle of a regular polygon of n sides.

[(n - 2)180]/n

[(18 - 2)180]/18

16(10)

160

Answer: 160°

4 0
2 years ago
For a sample of similar sized all-electric homes, the march electric bills were (to the nearest dollar): $212, $191, $176, $129,
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Lowest to highest...

Range = $92 – $212 ...//Ans...
5 0
3 years ago
You earn (4x+12) points after completing X levels of a video game and then lose (2x-5) points. Write an expression that represen
Viefleur [7K]
4x + 12
2x - 5
-----------
6x+7
does this help at all?
7 0
3 years ago
Mr. Sweeney's car can travel 195 miles on 10 gallons of gas. How far
VikaD [51]

Answer:

Miles in 10 gallons = 195

Miles in 1 gallon = 195/10 = <u>1</u><u>9</u><u>.</u><u>5</u>

Miles in 18 gallons = 19.5 × 18 = <u>3</u><u>5</u><u>1</u><u> </u><u>miles</u><u>.</u>

6 0
3 years ago
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