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ExtremeBDS [4]
3 years ago
13

A cone has a diameter of 10 inches. If its height is twice its radius, about what is the volume of the cone in cubic inches? Use

3.14 for π. A. 51.67 cu. in. B. 157 cu. in. C. 261.67 cu. in. D. 785 cu. in.
Mathematics
1 answer:
GuDViN [60]3 years ago
6 0

Answer:

C) 261.67 inch³

Step-by-step explanation:

radius = 10/2 = 5

height = 10

Volume = ⅓×pi×r²×h

= ⅓×3.14×5²×10

= 261.6666666667

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Divide (6x3y2 + 12x2y - 8xy) by (2xy)
rosijanka [135]

Answer:

Step-by-step explanation:

6x³y² = 2 * 3 * x³ * y²

12x²y = 2 *3 * 2 * x² * y

8xy    = 2 *  2 * 2 *x * y

GCF = 2xy

6x³y² + 12x²y - 8xy = (2xy * 3x²y) + (2xy * 6x) - (2xy * 4)

                               = 2xy *(3x²y + 6x - 4)

\dfrac{6x^{3}y^{2}+12x^{2}y-8xy}{2xy}=\dfrac{2xy*(3x^{2}y+6x-4)}{2xy}\\\\\\= 3x^{2}y + 6x - 4

5 0
2 years ago
Based only on the information given in the diagram, which congruence theorems could be given as reasons why ABC ~ LMN? Check all
Arisa [49]
SAS is one of the answers
8 0
3 years ago
When 60% of a number is added to the number, the result is 192. What is the number? Show your work.​
Natali [406]
Let the original number be
x

x
×
160
100
=
192
. This indicates an increase of 60%



x
=
192
×
100
160

x
=
120
7 0
4 years ago
An employee at a company that assembles chandeliers is packing boxes for shipping. In the first box, he packed 5 small chandelie
valkas [14]

Answer:

24

Step-by-step explanation:

5 0
3 years ago
A parallelogram has sides 17.3 m and 43.4 m long. The height corresponding to the 17.3-m base is 8.7 m. Find the height, to the
Anvisha [2.4K]

Answer:

3.5m

Step-by-step explanation:

A parallelogram has sides 17.3 m and 43.4 m long.

The height corresponding to the 17.3-m base is 8.7 m.

The area of a parallelogram = base × height

= 8.7m × 17.3m

= 150.51m²

Both parallelograms have the same area

Hence, the height, to the nearest tenth of a meter, corresponding to the 43.4-m base is calculated as:

= 150.51m²/43.4m

= 3.4679723502m

Approximately = 3.5m

7 0
3 years ago
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