Answer: y = 1.73*x - 0.46
Step-by-step explanation:
For a linear equation of the form:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we have an angle of A degrees with respect to the x-axis, the slope of the function can be calculated as:
Tan(A) = a.
in this case, we have we have an inclination of 30° to the positive x-axis (measured from the positive y-axis) and we know that the angle between the positive x-axis and the positive y-axis is 90°, then the angle measured from the positive axis will be such that:
A + 30° = 90
A = 90° - 30° = 60°
Then the slope is:
a = Tan(60°) = 1.73
Then we have the equation:
y = 1.73*x + b
And we know that this line passes through the point (2, 3) then we can replace x by 2 and y by 3 in the equation, and find the value of b.
3 = 1.73*2 + b
3 - 1.73*2 = b = -0.46
Then the equation is:
y = 1.73*x - 0.46
A) 85 acres with 1.02 x 10⁶ plants
b) 100 acres with 1.7 x 10⁷ plants
c) 110 acres with 1.9 x 10⁶ plants
d) 205 acres with 3.4 x 10⁵ plants
a) 1.02 x 10⁶ = 1,020,000 ÷ 85 acres = 12000 per acre
b) 1.7 x 10⁷ = 17,000,000 ÷ 100 acres = 170,000 per acre
c) 1.9 x 10⁶ = 1,900,000 ÷ 110 acres = 17,272.73 per acre
d) 3.4 x 10⁵ = 340,000 ÷ 205 acres = 1658.54 per acre
Among the choices, Letter C. 110 acres with 1.9 x 10⁶ plants has the density of approximately 17000 plants per acre. Its actual density is 17,272.73 plants per acre.
Answer:
6 quarters, 6 dimes, and 6 nickels
Step-by-step explanation:
6 quarters=1.50
6 dimes=0.6
6 nickels=0.3
1.5+0.6+0.3=2.40
Just divide the entire recipe by 3. Then multiply by 2. 2 cups flower, 2/3 cups sugar, 1 and 1/3 cup chocolate chips.
Answer:
i think the answer is <u><em>115</em></u>
i am not sure tho..
its not 115
