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4 years ago

Which of the following are molecules? A. Al B. Ag C. MgCl2 D. NaCl E. C3H8

Physics

1 answer:

bonufazy [111]4 years ago

4 0

Answer: The correct options are (C)(D) and (E).

Explanation:

Molecules is defined as group of two or more numbers of atoms of same or different elements. For example: $S_8, H_2O, NH_3$ etc.

$MgCl_2$ is a molecule made up of one magnesium and two chlorine atoms.

NaCl is molecule made up of one sodium and one chlorine atom

$C_3H_8$ is molecule made up of three carbon atoms and eight hydrogen atoms.

Hence, the correct options are (C)(D) and (E).

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3 years ago

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Due to an influx of wild animals, you need to enclose your garden. You have 500 feet of fencing and will enclose the garden on t

elena55 [62]

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so length of the fence is 250 feet

Explanation:

Given data

fencing (L) = 500 feet

enclose the garden = 3 sides

to find out

length of the fence

solution

we consider barn length x and width y

so we say x +2y = 500 ........1

we want to maximize length i.e xy = f

so we say

df/dx = ƛ × dL/dx

y = ƛ × 1

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df/dy = ƛ × df/dy

x = ƛ × 2

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2 ƛ + 2 ƛ = 500

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4 years ago

A girl walks 5km due north,then in the direction of 60° of northeast towards her final destination.If the magnitude of her resul

storchak [24]

Answer:

4.2 km

Explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as isosceles triangle, scalene triangle, equilateral triangle and right angled triangle.

Sine rule states that for a triangle with angles A,B and C and corresponding opposite sides a, b, and c, the following formula holds:

$\frac{a}{sin(A)}=\frac{b}{sin(B)}=\frac{c}{sin(C)}$

Let the starting point be A, hence the side opposite to the angle = a = distance travelled in north east direction.

Let the point of 60° of northeast be B = 90° + (90° - 60°) = 120°, hence the side opposite to the angle = b = resultant displacement = 8 km.

Let C be the endpoint, hence the side opposite to the angle = c = distance travelled north = 5 km

Using sine rule:

$\frac{b}{sin(B)}=\frac{c}{sin(C)} \\\\\frac{8}{sin(120)}=\frac{5}{sin(C)} \\\\sin(C)=\frac{5*sin(120)}{8} =0.5412\\\\C=sin^{-1}(0.5412)=32.8^o\\\\$

∠A + ∠B + ∠C = 180° (sum of angle in a triangle)

∠A + 120 + 32.8 = 180

∠A = 27.2°

$\frac{b}{sin(B)}=\frac{a}{sin(A)} \\\\\frac{8}{sin(120)}=\frac{a}{sin(27.2)} \\\\a=\frac{8*sin(27.2)}{sin(120)} \\\\a=4.2\ km$

Therefore she travelled 4.2 km in the north east direction

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3 years ago