Answer:
C= 25.12 cm
Step-by-step explanation:
The perimeter is given by:
P = 2x + 2y = 28
The area is given by:
A = x * y
Writing the area based on x we have:
A (x) = x * (14-x)
Rewriting:
A (x) = 14x-x ^ 2
Deriving we have:
A '(x) = 14-2x
We equal zero and clear x:
14-2x = 0
x = 14/2
x = 7
We are now looking for the other dimension:
y = 14-x
y = 14-7
y = 7
Answer: The length and width of a rectangle that has the given perimeter and a maximum area are:
y = 7 meters
For proportionality constant problems, set up the equation as,
,
Where x and y are the two variables you are comparing and <em>K </em>is the proportionality constant. If we take <em>Caramel Corn </em>values as x and <em>Cheddar Corn </em>values as y, and then solve for <em>K </em>for each ratio lines, we will get the same answer. Let's check.
,
, and
.
Hence, the proportionality constant, in this case <em>K,</em> is equal to 
or 1.5. First answer choice is correct.
ANSWER: 1.5
Answer: option A. 9.2 gal/year
Justification:
The average rate of change from 1960 to 1970 is the change on the variable gallons consumed per passenger car divided by the period
average rate of change = Δg / Δt
Δg = 760 gallons - 668 gallons
Δt = 1970 year - 1960 year
760 gal - 668 gal 92 gal
average rate of change = -------------------------------- = ---------- = 9.2 gal / year
1970 year - 1960 year 10 year
Answer: 9.2 gal / year
As you see for this specific period, 1960 to 1970, the vehicles increased their consumption of gas per passenge, meaning that they became less efficient.
Answer:
x ≈ 263.1
Step-by-step explanation:
The marked sides are the hypotenuse and the side adjacent to the given angle. The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(70°) = 90/x . . . . use given values
x = 90/cos(70°) . . . . multiply by x/cos(70°)
x ≈ 263.1
_____
<em>Additional comment</em>
The mnemonic SOH CAH TOA is intended to remind you of the primary trig relations:
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
