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Nimfa-mama [501]
3 years ago
5

For every 3 wrapped packages Mary uses 1/2 roll of wrapping paper how many packages can she wrap with 2 1/2 rolls of wrapping pa

per
Mathematics
2 answers:
grin007 [14]3 years ago
6 0
She can wrap 15 packages :)
poizon [28]3 years ago
3 0
3 packages = 1/2 roll
? packages = 2 1/2 rolls

if 1/2 of a roll can wrap 3 packages, that means 1 roll can wrap 6 packages.

1/2 roll = 3 packages
1 roll = 6 packages
2 rolls= 12 packages

so to find how many packages can be wrapped with 2 1/2 rolls,

1/2 roll (3 packages) + 2 rolls (12 packages) = 2/12 rolls (15 packages)

15 packages can be wrapped using 2/12 rolls of paper.
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Consider the region bounded by 4y=x^2 and 2y=x.
gayaneshka [121]

Answer:

a) ⅓ units²

b) 4/15 pi units³

c) 2/3 pi units³

Step-by-step explanation:

4y = x²

2y = x

4y = (2y)²

4y = 4y²

4y² - 4y = 0

y(y-1) = 0

y = 0, 1

x = 0, 2

Area

Integrate: x²/4 - x/2

From 0 to 2

(x³/12 - x²/4)

(8/12 - 4/4) - 0

= -⅓

Area = ⅓

Volume:

Squares and then integrate

Integrate: [x²/4]² - [x/2]²

Integrate: x⁴/16 - x²/4

x⁵/80 - x³/12

Limits 0 to 2

(2⁵/80 - 2³/12) - 0

-4/15

Volume = 4/15 pi

About the x-axis

x² = 4y

x² = 4y²

Integrate the difference

Integrate: 4y² - 4y

4y³/3 - 2y²

Limits 0 to 1

(4/3 - 2) - 0

-2/3

Volume = ⅔ pi

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NEED HELP ASAP!! I'm doing trigonometry and I've been stuck on this problem I don't really understand it, if you could help that
Tems11 [23]

Answer:

6.1

Step-by-step explanation:

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The short leg of these triangles (the base) is half the side length: ½ s.

According to properties of 30-60-90 triangles, the long leg (the height) is √3 times the short leg: ½ s√3.

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8 = ½ (½ s) (½ s√3)

8 = ⅛ s²√3

64 = s²√3

s² = 64/√3

s = √(64/√3)

s ≈ 6.1

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3 years ago
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I am unsure but i think the answer is c or a but let me know if i'm right or wrong
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