Let x be the width of the rectangle
Therefore length=3+x
Thus the formula to find the perimeter of the rectangle is:2(3+x+x)
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Answer:
7/40 feet
Step-by-step explanation:
Solve using proportions:
Find the scale factor by dividing the numerators 25 by 1/8.
25 ÷ 1/8 = 200 This is the common ratio
To get from the top left number to the top right number, you divide 25 by 200.
To get from the bottom left number to the bottom right number, you divide 35 by 200.
35 ÷ 200 = 0.175
1/8 of an inch represents 0.175 feet.
To find 0.175 in fraction form, reduce 35/200 to its lowest terms.
35/200 = 7/40
1/8 of an inch represents 7/40 feet.
Answer:
66.6% decrease in distance
Rounded 67%
He is traveling 1/3 of what he used to travel
Step-by-step explanation:
Step-by-step explanation:
"product" means multiplication. the same as "times".
so,
135 = r×9
For polar form you need to find the modulus (length of the vector) and the argument (angle of the vector) and present in form rcis(Arg) or re^Argi
start with the modulus r=sqrt(a^2 +b^2)
=sqrt(-2^2 +2^2)
= sqrt(4+4)
=sqrt(8)
=2sqrt(2)
next the argument, firstly arg=tan(b/a)
= tan(2/2)
=tan(1)
=pi/4 . (exact values table)
Now consider the quadrant the complex number is in, as it is (-2,2) it is in the second quadrant and as such your Arg value is:
Arg=pi-arg
= pi-pi/4
= 3pi/4
add it all together and your complex number in polar form is:
2sqrt2cis(3pi/4)
note: cis is short hand for cos(x)+isin(x), it is possible your tutor would rather you use the complex exponential form which is simply re^Argi and your answer would look like:
2sqrt2e^(3pi/4)i
Also notice the difference between arg and Arg as this often slips students up and always present Arg in prinicple argument form ie -pi<Arg<pi
Hopefully this has been clear enough and good luck
