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Romashka [77]
3 years ago
13

What is the distributive property of the equation 5b plus 7b plus 10

Mathematics
1 answer:
gtnhenbr [62]3 years ago
7 0
12b+10 is the answer
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Which is the definition of an angle
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Step-by-step explanation:

the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.

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A side of the triangle below has been extended to form an exterior angle of 159°. Find the value of x
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Find the the angle by subtracting 159 from 180 that’s your answer= 21 degrees

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PLEASE HELP GIVING 30 POINTS!!!! 1 6 ≥ 6 + x/2
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The answer is x<20. Hope that helps.

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Could someone help plz
Komok [63]

Answer:

The radius of the sphere is approximately 62.71 cm

Step-by-step explanation:

The question relates to the definition of a sphere

The given parameters are;

The distance between the sharp parallel blades through which the sphere is rolled = 77 centimeters

The radii of the circular faces left by cutting the sphere with the blade = 39 cm  and 60 cm

From the triangles formed by the cross-section of the sphere, we have;

AB ║ DE Given

∠A ≅ ∠E, ∠D ≅ ∠B Alternate angles

∠C ≅ ∠C by reflective  property

∴ ΔABC ~ ΔDCE by Angle-Angle similarity theorem

CF/CG = AB/DE = 78/120 = 13/20

CF = CG × 13/20

CF + CG = 77

∴ CG × 13/20 + CG = 77

33·CG/20 = 77

∴ CG = 140/3

CF = 13/20 × CG = 13/20 × 140/3 = 91/3

CF = 91/3

The diameter of the sphere AE = AC + EC

By Pythagoras's theorem

AC = √(FA² + CF²) = √(39² + (91/3)²) = 13·√(130)/3

EC = √(CG² + GD²) = √((140/3)² + 60²) = 20·√(130)/3

∴ AE = AC + EC = 13·√(130)/3 + 20·√(130)/3 = 11·√(130)

The diameter, 'D', of the sphere, AE = 11·√(130)

The radius of the sphere = D/2 = 11·√(130)/2 ≈ 62.71 cm

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2 years ago
A recipe requires 4 cups of flour to make 3 dozen cookies. How many cups of flour are needed to make 10 dozen cookies?
VikaD [51]

9514 1404 393

Answer:

  13 1/3 cups

Step-by-step explanation:

We assume flour is proportional to cookies, so we have ...

  cups/dozens = x/10 = 4/3

Multiplying by 10 gives ...

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13 1/3 cups of flour are needed for 10 dozen cookies.

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