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djyliett [7]
3 years ago
7

Does anyone know the answer.

Mathematics
1 answer:
leonid [27]3 years ago
5 0

Answer:

The volume is approx. 170 cubic inches.

Step-by-step explanation:

The total volume is the sum of the volume of the cylinder and half the volume of a sphere with the given diameter.

Cylinder:

(volume) = 2 * (disc area) * (height)

V_C=\pi r^2 h = \pi \frac{d^2}{4}h=3.14\cdot 6.25\cdot 7=137.4 \,\,in.^3

Hemisphere:

V_H=\frac{1}{2}\cdot\frac{4}{3}\pi r^3=\frac{2}{3}\cdot 3.14\cdot 2.5^3=32.7\,\,in^3\\

Total:

137.4+32.7 = approx. 170 cubic inches

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2 years ago
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home
castortr0y [4]

Answer:

D) 40 miles

Step-by-step explanation:

First we must find the distance between the mall and the house.  The figure formed is a right triangle.  The length of the side from the mall to the house forms the hypotenuse of the triangle.  We can use the Pythagorean theorem to find the length:

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The two legs of the triangle, a and b, are 15 and 8:

15² + 8² = c²

225 + 64 = c²

289 = c²

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4 0
3 years ago
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8 0
2 years ago
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What should be added to twice a rational Number -7/3to get 3/7<br>​
saul85 [17]

Answer:

107/21

Step-by-step explanation:

re - phrase the question algebraically:

-14/3 + y = 3/7

LCM of 3 and 7  = 21

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3 0
3 years ago
Find the solution set of the inequality<br> 35- 4x &gt; 2
Orlov [11]
35-4x>2
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-4x>-33
-x>-33/4
x<33/4    (x<8.25)

Solution: x<8.25.  or  x∈(-∞ , 8.25)
3 0
3 years ago
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