Answer:
or 
Step-by-step explanation:
step 1
Find the volume of the snow
Convert inches to feet
1 ft=12 in
8 in=8/12=(2/3) ft
step 2
Find the mass of the snow
Multiply the density by the volume
If you drew the two vectors for the velocity you find a triangle rectangle since the two directions East and North form an angle of 90°. I drew first the vector towards East and second the vector towards North.
Therefore, to get the speed relative to the surface you have to sum the two vectors, which means you can apply the Pythagorean theorem to find the hypotenuse, having the two legs.
h = √(4² + 12²) = √160 = 4√10 = 12.65mph
In order to find the direction, you need to use trigonometry:
- the sine of an angle is given by the ratio between the opposite side divided the hypotenuse;
- the cosine of an angle is given by the ratio between the adjacent side divided by the hypotenuse.
You can use either one, I will show you both:
sinα = O / H
inverting the formula: α = arcsin (O / H) = sin⁻¹ <span>(O / H)
these two forms are equivalent.
Similarly:
cos</span>β = A / H
β = arccos (A / H) = cos⁻¹ <span>(A / H).
Substituting your numbers:
</span>α = sin⁻¹ (12 / 12.65) = <span>sin⁻¹ (0.9486) = 1.25rad
</span>β = cos⁻¹ (4 / 12.65) = cos⁻¹<span> (0.3162) = 1.25rad
As you can see, </span>α = β so you can use either formula.
Your answer will then be: the child is moving relative to the surface of the water with a speed of 12.65mph at a direction of 1.25rad from East towards North.
ATTENTION!
If you drew first the vector towards North and then the one towards East, you get an equivalent triangle, which is rotated by 180° respect to the previous one. This way, what you earlier called Opposite is now Adjacent and vice-versa, but the formulas are still valid.
You will get:
α = sin⁻¹ (4 / 12.65) = <span>sin⁻¹ (0.3162) = 0.32rad
</span>β = cos⁻¹ (12 / 12.65) = cos⁻¹<span> (0.9486) = 0.32rad
And your answer will be: </span><span>the child is moving relative to the surface of the water with a speed of 12.65mph at a direction of 0.32rad from North towards East.</span>
The answer to this is y=13
Answer:
Well I can give you advice, so first ask yourself if you actually read the whole problem. Did you? okay then make sure you've looked closely at the data table. What does it mean? Then try to put it all together and see if you can figure it out yourself, and if your stuck then I would suggest coming back.
Step-by-step explanation:
5 times 20 (5/5) = 100%, 4 times 20 (4/5) = 80%, 3 times 20 (3/5) = 60%, 2 times 20 (2/5) = 40%, 1 times 20 (1/5) = 20%.
