Let the width of the rectangle be x
Then length =x-4
Area=x(x-4)=140
x²-4x=140
x²-4x-140=0
x²-14x+10x-140=0
x(x-14)+10(x-14)=0
(x-14)(x+10)=0
Therefore,length=14 cm and width=10 cm
<u>Answer:</u>
The cost of one gallon of gas in Toronto, Canada is $3.458.
<u>Solution:
</u>
Given, One gallon of gasoline in buffalo, New York costs $2.29.
In Toronto, Canada, one liter of gas costs $0.91.
There are 3.8 liters in one gallon.
We have to find how much does one gallon of gas cost in Toronto?
Now, cost of one gallon of gas in Toronto = cost of one litre of gas in Toronto x 3.8 liters for 1 gallon.
Cost of one gallon of gas = 0.91 x 3.8 = 3.458
Hence, the cost of one gallon of gas in Toronto, Canada is $3.458.
I am gonna assume the answer is 8.If not another 4 i wish you could see the whole picture
Taking the derivative of 7 times secant of x^3:
We take out 7 as a constant focus on secant (x^3)
To take the derivative, we use the chain rule, taking the derivative of the inside, bringing it out, and then the derivative of the original function. For example:
The derivative of x^3 is 3x^2, and the derivative of secant is tan(x) and sec(x).
Knowing this: secant (x^3) becomes tan(x^3) * sec(x^3) * 3x^2. We transform tan(x^3) into sin(x^3)/cos(x^3) since tan(x) = sin(x)/cos(x). Then secant(x^3) becomes 1/cos(x^3) since the secant is the reciprocal of the cosine.
We then multiply everything together to simplify:
sin(x^3) * 3x^2/ cos(x^3) * cos(x^3) becomes
3x^2 * sin(x^3)/(cos(x^3))^2
and multiplying the constant 7 from the beginning:
7 * 3x^2 = 21x^2, so...
our derivative is 21x^2 * sin(x^3)/(cos(x^3))^2
Answer:37
Step-by-step explanation:
first you put them in order from least to greatest
which would be 15,22,37,49,72
then the middle number would be your answer hope this helps!
-MalStar
