Answer:
The answer is below
Step-by-step explanation:
The equation for a linear function is given as:
y = mx + b
where m is the slope of the function (that is the rate of change), b is the initial value of y when x is 0.
Given that the function where x represent the number of years since 1960 and y is the cost in dollar as:
a) In the year 1960, that is x = 0, the cost of a gallon of gas is given as:
b) From the function , we can see that the rate of change is 2.14/55. Therefore, the cost increase each year by 4 cents per year.
Answer:
side length each 5√2
Step-by-step explanation:
both legs have the same length, as the triangle is a 45 - 90 45
To find one side of the triangle us the cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
cos(A)=adj/hyp
cos(A)=adj/10
adj=cos(A) * 10
adj = 5√2
The side of a rhombus and the half-diagonals form a right triangle. The length of the other half-diagonal is found from the Pythagorean theorem to be
... d = √((10 cm)² -(6 cm)²) = √(64 cm²) = 8 cm
The length of the other diagonal is 16 cm.
The area is half the product of the diagonal lengths, so is
... area = (1/2)(12 cm)(16 cm) = 96 cm²
Answer:
hrejlhcb
Step-by-step explanation:
Answer:
$144
Step-by-step explanation:
Volume of the pyramid = 1/3BH
Base area B = 1/2 * 6 * 4
Base area B = 12 ft²
Height H = 4ft
Volume of the pyramid = 12 * 4
Volume of the pyramid = 48ft³
SInce 1 ft³ = $3
48ft³ = x
Cross multiply
x = 3 * 48
x = 144
Hence the cost of the sign is $144
