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Slav-nsk [51]
3 years ago
15

What is the total volume of this compound shape?

Mathematics
1 answer:
Alex787 [66]3 years ago
6 0

Answer:

This is very easy. First find the volume of the cube, and then add it to the volume of the hemisphere to find the total volume.

The volume of the cube is length x width x height: 8 x 8 x 12 = 768 cm

The volume of the hemisphere is (2/3)πr³ : (2/3)π(4)³ = 134.04 cm

*Radius is 4

Now add: 768 + 134.04 = 902.04 cm

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Two trains leave stations 360 miles apart at the same time and travel toward each other. One train travels at 70 miles per hour
cricket20 [7]
S=d/t     ⇒d=s*t
s=speed
d=distance
t=time

The first train :
d=x

x=70 miles/h*t                             ⇒   x=70t  (1)

The second train
d=360 miles - x

360 miles - x=80 miles/h*t          ⇒360-x=80t   ⇒ x=360-80t   (2)

therefore, with the equations (1) and (2) we have a systeme of equations:

x=70t
x=360-80t

we can solve this system of equations by equalization method.

70t=360-80t
70t+80t=360
150t=360
t=360/150=2.4     (≈2 hour  24 minutes)

Answer:  the first train meet with the second train in 2 hour 24 minutes. 


3 0
3 years ago
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Ejiro is 8yrs older than her sister the sum of their ages is64yrs what is ejiro age in years​
Alika [10]

Answer:

36

Step-by-step explanation:

Ejiro + her sister's age = 64

Ejiro is 8 years older so (64 - 8) ÷ 2 = 28 her sister is 28 years old and ejiro is 28 + 8 = 36 years old

8 0
3 years ago
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What is the ratio of the length of the radius and the length of the diameter for all circles?
vredina [299]
The diameter is twice the radius  (D=2R), then

\frac{R}{D}=\frac{1}{2}

4 0
3 years ago
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Answer:

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Step-by-step explanation:

Given the monthly stock prices :

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February = $2.25

March = $5.00

The average monthly change in price of XYZ stock from. JANUARY through MARCH is;

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Average monthly change :

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$10.75 / 3

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8 0
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Minchanka [31]

Answer:

im trying to find this answer too dont worry :(

Step-by-step explanation:

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5 0
3 years ago
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