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sashaice [31]
3 years ago
5

The length of a ribbon is 3/4 meter. Sun Yi needs pieces measuring 1/3 meter for an art project. What is the greatest number of

pieces measuring 1/3 meter that can be cut from the ribbon? How much ribbon will be left after Sun Yi cuts the ribbon?
Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
7 0
The greatest number of pieces is 2 pieces. There will be 1/12 remaining
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The diagram shows a logo​
Charra [1.4K]

Answer/Step-by-step explanation:

✔️Find EC using Cosine Rule:

EC² = DC² + DE² - 2*DC*DE*cos(D)

EC² = 27² + 14² - 2*27*14*cos(32)

EC² = 925 - 756*cos(32)

EC² = 283.875639

EC = √283.875639

EC = 16.85 cm

✔️Find the area of ∆DCE:

Area = ½*14*27*sin(32)

Area of ∆DCE = 100.15 cm²

✔️Since ∆DCE and ∆ABE are congruent, therefore,

Area of ∆ABE = 100.15 cm²

✔️Find the area of the sector:

Area of sector = 105/360*π*16.85²

Area = 260.16 cm² (nearest tenth)

✔️Therefore,

Area of the logo = 100.15 + 100.15 + 260.16 = 460.46 ≈ 460 cm² (to 2 S.F)

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3 years ago
Congruent segments and congruent angles
Serggg [28]

Answer:

Congruent sides or segments have the exact same length. Congruent angles have the exact same measure. For any set of congruent geometric figures, corresponding sides, angles, faces, etc. are congruent.

Step-by-step explanation:

comment how it helps

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3 years ago
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3 years ago
Find the value of f(–2) for the function f(x) = 4x + 10.
Fiesta28 [93]

Answer:

f(-2)=2

Step-by-step explanation:

f(-2)=4x+10

f=(4)(-2)+10

f=-8+10

f=2

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2 years ago
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