Answer: 12 acres could be planted (at most)
Step-by-step explanation: Since there will be twice as many acres of wheat in comparison to the corn, out of the total 36 acres at least 24 of those will need to be wheat. That leaves 12 acres left for the corn.
The volume of the sphere with the given value of diameter is to the nearest tenth is 3052.1cm³.
Option C is the correct answer.
<h3>What is the volume of the sphere?</h3>
The volume of the sphere is the amount of space occupied within the sphere.
Volume of sphere is expressed as;
V = (4/3)πr³
Where r is the radius and π is pi ( π = 3.14 )
Given that;
- Diameter of the sphere d = 18cm
- Radius r = d/2 = 18cm/2 = 9cm
- Constant pi π = 3.14
- Volume V = ?
V = (4/3)πr³
V = (4/3) × 3.14 × 9cm)³
V = (4/3) × 3.14 × 729cm³
V = 3052.1cm³
Therefore, the volume of the sphere with the given value of diameter is to the nearest tenth is 3052.1cm³.
Option C is the correct answer.
Learn more about volume of hemisphere here: brainly.com/question/3362286
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-11x² + 2x = 10
-11x² + 2x - 10 = 10 - 10
-11x² + 2x - 10 = 0
x = <u>-(2) +/- √((2)² - 4(-11)(-10))</u>
2(-11)
x = <u>-2 +/- √(4 - 440)</u>
-22
x = <u>-2 +/- √(-436)
</u> -22<u>
</u>x = <u>-2 +/- 2i√(109)
</u> -22
x = <u>-2 + 2i√(109</u>) x = <u>-2 - 2i√(109)</u>
-22 -22
x = ¹/₁₁ - ¹/₁₁i√(109) x = ¹/₁₁ + ¹/₁₁i√(109)
<u />
<h2>
Answer:</h2>
y = 
x + 3
<h2>
Step-by-step explanation:</h2>
As shown in the graph, the line is a straight line. Therefore, the general equation of a straight line can be employed to derive the equation of the line.
The general equation of a straight line is given by:
y = mx + c <em>or </em>-------------(i)
y - y₁ = m(x - x₁) -----------------(ii)
Where;
y₁ is the value of a point on the y-axis
x₁ is the value of the same point on the x-axis
m is the slope of the line
c is the y-intercept of the line.
Equation (i) is the slope-intercept form of a line
Steps:
(i) Pick any two points (x₁, y₁) and (x₂, y₂) on the line.
In this case, let;
(x₁, y₁) = (0, 3)
(x₂, y₂) = (4, -2)
(ii) With the chosen points, calculate the slope <em>m</em> given by;
m = 
m = 
m =
(iii) Substitute the first point (x₁, y₁) = (0, 3) and m = into equation (ii) as follows;
y - 3 = (x - 0)
(iv) Solve for y from (iii)
y - 3 = x
y = x + 3 [This is the slope intercept form of the line]
Where the slope is and the intercept is 3
