Answer:
Proportion states that the two ratio or fractions are equal.
Given the statement: One grain of sand approximately weighs 7 * 10^{-5} g.
To find how many grains of sand are there in 6300 kg of sand.
Let x be the number of grains of sand in 6300 kg of sand.
Using conversion :
1 kg = 1000 g
6300 kg = 6300000 g
Then, by using proportion method, we have;


By cross multiply we get;

or

[using
]
Divide both sides by 7 we get;

Standard form is a way of of writing down very large or very small numbers easily.
Therefore,
grains of sand are there in 6300 kg of sand.
Answer:
d≈134.35
P Perimeter
380
Using the formulas
P=4a
d=2a
Solving ford
d=2P
4=2·380
4≈134.35029
Step-by-step explanation:
Answer:
Step-by-step explanation:
What are the two closest square numbers to 73?
64 and 81

<em>Acceleration (a) = 5.1 m/s</em>²
<em>Initial speed (u) = 16 km/h </em>⇒

<em>m/s </em>≈ <em>4.5m/s</em>
<em>
</em><em>Final speed (v) =118 km/h </em>⇒

<em>m/s</em> ≈ <em>32.8m/s</em>
<em>
</em>Distance(S) travel in that particular instant is carried out by 'Third equation of motion' i.e., v² = u² + 2aS
<em>So, When all quantities are in S.I. unit then,
</em>putting the values in the equation of motion,
<em /><em>As we have to carry out the distance covered,
</em><em>2</em>·<em>a</em>·<em>S = v</em>² <em>- u</em>²
<em>S = </em>

Putting values in derived equation,
⇒ <em>S = </em>

⇒ <em>S = </em>

⇒ <em>S = </em>

⇒ <em>S </em>≈ <em>103.489</em> <em>m
</em>
<em>
The total distance covered in that given condition is approx. 103.289 m.</em>
Answer:
x² + 8x + 12
Step-by-step explanation:
Area of a rectangle = length × width
Original dimensions:
Width = x
Length = x + 4
James will increase both dimensions of the floor by 2 feet
New dimensions:
Width = x + 2
Length = x + 4 + 2
= x + 6
Area of the new rectangle = length × width
= (x + 2) × (x + 6)
= x² + 6x + 2x + 12
= x² + 8x + 12
Equation which represents the
new area, N, of the floor of the cage = x² + 8x + 12