Answer:
Approximately 3.5 feet - Option B
Step-by-step explanation:
Imagine that you have this walkway around the garden, with dimensions 30 by 20 feet. This walkway has a difference of x feet between it's length, and say the dimension 30 feet. In fact it has a difference of x along both dimensions - on either ends. Therefore, the increases length and width should be 30 + 2x, and 20 + 2x, which is with respect to an increases area of 1,000 square feet.
( 30 + 2x ) 
( 20 + 2x ) = 1000 - Expand "( 30 + 2x ) ( 20 + 2x )"
600 + 100x + 4
= 1000 - Subtract 1000 on either side, making on side = 0
4 + 100x - 400 = 0 - Take the "quadratic equation formula"
( Quadratic Equation is as follows ) - 
,
,
There can't be a negative width of the walkway, hence our solution should be ( in exact terms ) 
. The approximated value however is 3.5081...or approximately 3.5 feet.
Coterminal angles are angles that end in the same position on a unit circle.
We can find angles that are coterminal to -4pi/3 by adding and subtracting 2pi.
-4pi/3 + 2pi = 2pi/3
The answer is 2pi/3
Answer:
d. 89°
Step-by-step explanation:
The given measure of the angles formed are;
m∠AED = 48°, m
= 175°
According to circle theorem, the angle formed by a chord and a tangent of a circle is given by half of the measure of the arc intercepted by the chord in the direction of the angle;
Therefore;
m∠AED = (1/2) × m
= 48°
∴ m = 2 × 48° = 96°
m∠AEF = (1/2) × m
m + m = 360° (angle round a circle)
∴ m = 360° - m = 360° - 96° = 264°
m = m + m
∴ m = m - m = 264° - 175° = 89°
m = 89°.
The net profit or income for case A and case B based on the information will be $9250 and $9500 respectively.
<h3>How to compute the net profit?</h3>
Case A:
Based on the information, the price of fertilizer will be:
= 0.25 × 100 × 50
= $1250
Price of wheat = 3.50 × 50 × 50
= $10500
Net profit = $10500 - $1250
= $9250
Case B:
Price of fertilizer will be:
= 0.50 × 70 × 50
= $1750
Price of wheat = 4.50 × 50 × 50
= $11250
Net profit = $11250 - $1750
= $9500
Therefore, the net profit or income for case A and case B based on the information will be $9250 and $9500 respectively.
Learn more about net income on:
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