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yanalaym [24]
3 years ago
11

A hard candy has a radius of 9 mm. The candy has a spherical soft center with a radius of 6 mm, with a hard shell surrounding it

.
What is the volume of the hard shell?
Use 3.14 to approximate pi and express your final answer in hundredths.

mm3
Mathematics
1 answer:
goblinko [34]3 years ago
7 0
Well you have to subtract the soft shell volume from the entire candy volume. Using the formula for the volume of a sphere, the whole candy is 4/3*729*3.14=3052.08
the soft center is 4/3*216*3.14= 904.32. If you subtract, you get the answer of 2147.76 mm^3.
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5w = 23 - 3f and 4f = 12 - 2w
Kryger [21]

Answer:

f = 1, w = 4

Step-by-step explanation:

Given the 2 equations

5w = 23 - 3f → (1)

4f = 12 - 2w (add 2w to both sides )

2w + 4f = 12 ( subtract 4f from both sides )

2w = 12 - 4f → (2)

Multiplying (1) by 4 and (2) by - 3 and adding the result will eliminate f

20w = 92 - 12f → (3)

- 6w = - 36 + 12f → (4)

Add (3) and (4) term by term to eliminate f

14w = 56 ( divide both sides by 14 )

w = 4

Substitute w = 4 into either of the 2 equations and solve for f

Substituting into (1)

5(4) = 23 - 3f

20 = 23 - 3f ( subtract 23 from both sides )

- 3 = 3f ( divide both sides by - 3 )

1 = f

5 0
3 years ago
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Andrews [41]

Answer:

The answer is 13 for the surface area

Step-by-step explanation:

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2 years ago
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Consider a convex hexagon in which all pairs of opposite sides are parallel. Prove that if one pair of opposite sides have equal
hjlf

A pair of the opposite sides of a hexagon has equal length and this is proved below.

<h3>How to illustrate the hexagon?</h3>

It should be noted that a hexagon is a polygon that has six sides.

In this case, it has 6 sides.

The total angles will be:

= (n - 2) × 180

= (6 - 2) × 180

= 720°

Each angle will hence be:

= 720°/6

= 120°

Each angle are equal and this illustrates that the parallel sides are equal.

A diagram is attached to illustrate the pair of parallel sides.

Learn more about hexagon on:

brainly.com/question/1615720

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6 0
2 years ago
The circumstances of Z is 84cm. What is the length of XY (the mirror arc)
Serga [27]

Answer:

B

Step-by-step explanation:

arc length = circumference × fraction of circle

                 = 84 ×\frac{90}{360} = 21 cm


8 0
3 years ago
Please help very urgent on test...
stepladder [879]

Answer:

Equation: (2x+5)4=(2x+8)3

X: 2

Perimeter: 36

Step-by-step explanation:

You would multiply 2x+5 and 4 because there are four sides to a square, so the perimeter of the square would be 8x+20. This would go same for the triangle, making the perimeter 6x+24.

So 8x+20=6x+24 is your new equation. Then, you do the opposite of the order of operations, and add or subtract first. It would be easiest to subtract 20 and 6x from both sides.

That leaves you with 2x=4. Dividing 2 by both sides means x=2

You can plug this in to prove if it is correct.

16+20=36

12+24=36

Lmk if you get it!

8 0
3 years ago
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