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sergij07 [2.7K]
3 years ago
15

A cylinder of manganese (length 4.00 cm, diameter = 1.00 cm) has a mass of 22.62 g. What is the density of manganese?

Mathematics
1 answer:
Gnom [1K]3 years ago
5 0
Equation for density is mass/volume

Mass=22.62 g

Volume= 22/7 x 1/2^2 x 4

3.14 x 0.5 x 0.5 x 4

=3.14 cm3

Mass/ Volume

22.62/3.14

7.2 g/cm3 is the answer

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The hypotenuse of a right triangle is 1 centimeter longer than one side and 4 centimeters longer than three times the other side
snow_tiger [21]

Answer:

Hypotenuse = 25cm

Opposite = 24cm

Adjacent = 7cm

Step-by-step explanation:

Represent:

  • The opposite with a
  • The adjacent with b
  • The hypotenuse with c

Given that:

c = 1 + a

c = 4 + 3b

Required

Solve for a, b and c

c = c

So, we have:

1 + a = 4 + 3b

Subtract 1 from both sides

a = 4 -1 + 3b

a = 3 + 3b

Apply Pythagoras Theorem

c^2 = a^2 + b^2

Substitute 3 + 3b for a and 4 + 3b for c

(4 + 3b)^2 = (3 + 3b)^2 + b^2

Open brackets

16 + 12b+12b+9b^2 = 9 + 9b+9b+9b^2 +b^2

16 + 24b+9b^2 = 9 + 18b+10b^2

Collect Like Terms

10b^2 - 9b^2 + 18b - 24b + 9 - 16 = 0

b^2 - 6b -7 = 0

Expand

b^2 +b-7b-7=0

Factorize:

b(b+1)-7(b+1) =0

(b-7)(b+1) = 0

Split:

b - 7 = 0\ or\ b+1=0

b = 7\ or\ b=-1

But the adjacent of a triangle can't have a negative measurement.

So:

b = 7

Recall that:

c = 4 + 3b

a = 3 + 3b

Substitute 7 for b in the above expressions

c = 4 + 3 * 7

c = 4 + 21

c = 25

a = 3 + 3 * 7

a = 3 + 21

a = 24

Hence, the dimensions of the triangle are:

Hypotenuse = 25cm

Opposite = 24cm

Adjacent = 7cm

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Answer:

Step-by-step explanation:

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3 0
3 years ago
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lara31 [8.8K]
-4x^2 - 8......input (x) = 2

-4(2^2) - 8 =
-4(4) - 8 =
-16 - 8 =
- 24 <==
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3 years ago
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2 people have calculators, one person starts at 100 and subtracts 7 each time. Another starts at zero and adds 3 each time. If t
zaharov [31]

Answer:

  Yes, after 10 key presses, both will arrive at the number 30.

Step-by-step explanation:

The difference between the numbers on the calculators is reduced by 10 with each key press. After 10 key presses, the initial difference of 100 will be zero. After 10 key presses of (-7), the calculator starting at 100 will be ...

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Both calculators will show 30 after 10 key presses.

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\frac{1}{4}\cdot100=25
......
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