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dem82 [27]
3 years ago
9

Sean used candle molds, as shown, to make candles that were perfect cylinders and spheres:

Mathematics
1 answer:
BaLLatris [955]3 years ago
4 0
We calculate for the volumes of each of the wax needed for the candles through the equations presented below.

For cylinder:
                             V = πr²h
where V is volume, r is radius and h is height.

Substituting the known values,
 
                           V = (3.14)(3 in)²(6 in)
                            V = 169.56 in³

For sphere:

                         V = 4πr³/3
Substituting the known values,
                        V = 4(3.14)(3 in)³ / 3 = 113.04 in³

The difference between the two volumes,

                         difference of volumes = 169.56 in³ - 113.04 in³
                         <em>difference of volumes = 56.52 in³</em>

Thus, the answer to this item is the last choice. 
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eimsori [14]
Speed = distance / time

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6 0
3 years ago
HELP ASAP! I REALLY NEED IT!
Ilia_Sergeevich [38]

Answer:

46 \frac{7}{8}  \: cubic \: feet

Step-by-step explanation:

\boxed{volume \: of \: prism = base \: area \:  \times height}

Base area= length ×width

Let's convert all the mixed numbers into improper fraction for easier calculation.

Width

= 7½

=  \frac{7(2)}{2}  +  \frac{1}{2}

=  \frac{14}{2}  +  \frac{1}{2}

=  \frac{15}{2} ft

Height

= 1¼

=  \frac{4}{4}  +  \frac{1}{4}

=  \frac{5}{4} ft

Volume of prism

= 5 \times  \frac{15}{2}  \times  \frac{5}{4}

=  \frac{375}{8}

= 46 \frac{7}{8}  \: ft {}^{3}

4 0
3 years ago
Use the elimination method to solve the system of linear equations. 3x - 2y = -2 4x - 3y = -4
Oksana_A [137]

Answer:

(3x-2y=-2)×3

(4x-3y=-4)×2

then minus

x=2

then for y take one equation

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6-2y=-2

y=4

8 0
3 years ago
How are the expressions 8-15 and 8-(-15)?how are they different?
zmey [24]

8 - 15 means subtract the positive number 15 from 8.

8 - 15 = 8 + (-15) = -7

8 - (-15) means subtract the negative number -15 from 8.

Subtracting a negative number is the same as adding a positive number.

8 - (-15) = 8 + 15 = 23

8 - 15 = -7, and 8 - (-15) = 23. The expressions mean different operations and have different answers.

6 0
3 years ago
What is the degree of x^4-3x+2
Vanyuwa [196]

Answer:

Step-by-step explanation:

The degree is 4 because it is the largest exponent.

3 0
4 years ago
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