Answer:
x = 4
Step-by-step explanation:
y = kx²
NOTE: k is constant for proportionality
putting values for x and y
if x is 2
and y is 12
12 = k(2)²
12 = k4
12 = 4k
divide both sides by coefficient of k
12÷4 = 4k ÷ 4
k=3
substitute 3 for k
therefore when
y is 48
and k is constant 3
then x will be:
48=3x²
divide both sides by coefficient of x²
48 divide by 3 = 3x² divide by 3
16=x²
take the square root of both sides
√16 = √x²
x = 4
Answer:
The wind pushed the plane 
miles in the direction of 
East of North with respect to the destination point.
Step-by-step explanation:
Let origin, O, br the starting point and point D be the destination at 250 miles at a bearing of 20° E of S, but due to wind let D' be the actual position of the plane at 230 miles away from the starting point in the direction of 35° E of South as shown in the figure.
So, we have |OD|=250 miles and |OD'|=230 miles.
Vector 
is the displacement vector of the plane pushed by the wind.
From figure, the magnitude of the required displacement vector is
and the direction is 
east of north as shown in the figure,
From the figure,
miles
Again, 
miles
Now, from equations (i) and (ii), we have
miles, and
Hence, the wind pushed the plane miles in the direction of E astof North with respect to the destination point.
Answer:
Answer: XII CCCXLV
Step-by-step explanation:
To convert 12,345 to Roman Numerals you have to take them apart into place values (ones, tens, hundreds).
Ten Thousands=10,000=X
Thousands=2,000=MM
Hundreds=300=CCC
Tens=40=XL
Ones=5=V
Step-by-step explanation:
80% of 20 is 80/100 x 20 = 16
So, kelly has used 16 stamps, and has 4 left
Answer:
Step-by-step explanation:
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