B horizontal in order to travel directly across the river.
Idrk :):(
Q1. The answer is 54.629 metric tons
A mass (m) of a liquid is its density (D) multiplied by its volume (V): m = D · V
Step 1. Calculate the volume (V) of the swimming pool.
Step 2. Calculate the mass (m) of the water.
Step 3. Convert the mass into the metric tones.
Step 1.
V = w * l * h (w - weight, l - length, h - height)
w = 3.5 m
l = 9 m
h = 1.75 m
_______
V = 3.5 * 9 * 1.75
V = 55.125 m³
Step 2:
m = D * V
D = 0.991 g/cm³
1 g = 0.001 kg
1 cm³ = 0.000001 m³
D = 0.991g / 1cm³ = 0.991 * 0.001 kg / 0.000001 m³ = 991 kg/m³
V = 55.125 m³
_________
m = 991 * 55.125
m = 54628.875 kg ≈ 54629 kg
Step 3.
Since 1 metric ton is 1000 kg, how many metric tons are 54629 kg?
1 mt : 1000 kg = x : 54629 kg
x = 1 mt : 1000 kg * 54629 kg
x = 54.629 metric tons
Q2. The answer is 3.2 l.
<span>
Step 1. Convert g/cm</span>³ into kg/dm³ (because 1 l = 1 dm³)
Step 2. Calculate how many liters of the liquid have a mass of 3.75 kg using the proportion
Step 1.
D = <span>1.17 g/cm3
</span>1 g = 0.001 kg
1 cm³ = 0.001 dm³
D = 1.17 * 0.001 kg / 0.001 dm³ = 1.17 kg/dm³
Step 2.
If 1.17 kg is in 1 dm³, 3.75 kg are in how many dm³:
1.17 kg : 1 dm³ = 3.75 kg : x
x = 3.75 kg * 1 dm³ : 1.17 kg
x = 3.2 dm³
1 dm³ = 1 l
x = 3.2 l
Q3. The answer is 2757140 g/m³
Step 1. Calculate the increased volume and convert units into liters.
Step 2. Calculate the density of the alloy sample and convert units into g/m³
Step 1.
The difference in the volume of the water in cylinder is:
V = 19.5 ml - 16 ml = 3.5 ml
1 ml = 0.001 l
V = 3.5 * 0.001 l = 0.0035 l
Step 2.
A density (D) of an object with mass m and volume V is:
D = m/V
We have:
D = ?
m = 9.65 g
V = 0.0035 l
______
D = 9.65/0.0035 g/l = 2757.14 g/l
1 l = 1 dm³ = 0.001 m³
D = 2757.14 g/0.001 m³ = 2757140 g/m³
The acceleration of the skateboard is
(to the left)
Explanation:
The motion of the skateboard is a uniformly accelerated motion, so we can use the following suvat equation:

where
v is the final velocity
u is the initial velocity
a is the acceleration
t is the time
For the skateboard in this problem, choosing right as positive direction, we have:
u = +8 m/s is the initial velocity
v = +5 m/s is the final velocity
t = 5 s is the time
Solving for a, we find the acceleration:

And since the sign is negative, the direction is to the left.
Learn more about acceleration here:
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The wave frequency would be 733 because you divide the two numbers together to get the answer.