Find the volume of a sphere with a diameter of 25 cm. Approximate r as 3.14 and round your answer to the neare
1 answer:
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Answer:
Answer equals to 55.75ftsquare
Step-by-step explanation:
Answer:
Explanation:we will solve this question with help of linear programming.
Now, let Ben goes x times in buffalo trip and goes y times in Philadelphia trip. Thus, according to the question, Min Z= 180x+300y
And s.t.r. 2x+3y≤105, where x≥5, y≥15.
since at (0,0) 0≤105(true), so area of 2x+3y≤105 will cover the origin.
But, 0≥5 and 0≥15 are false, so their area will not cover the origin.
Thus, after drawing the graph of these three lines we will get a feasible reason of triangle ABC, where point A≡(5,31.667), B≡(5,15), and C≡(30,15)
Z at A- 180×5+300×31.667=10,400.1
at B-180×5+300×15=1350( which is minimum.)
at C- 180×30+300×15=5,850
Thus, Ben should go 5 times to buffalo trip and 15 times to Philadelphia to minimize his cost which is $1350.
Answer:
Step-by-step explanation:
Given:
Given point P(6, 6)
The equation of the line.
We need to find the equation of the line perpendicular to the given line that contains P
Solution:
The equation of the line.
Now, we compare the given equation by standard form
So, slope of the line , and
y-intercept
We know that the slope of the perpendicular line
So, the slope of the perpendicular line
From the above statement, line passes through the point P(6, 6).
Using slope intercept formula to know y-intercept.
Substitute point and
So, the y-intercept of the perpendicular line
Using point slope formula.
Substitute and
in above equation.
Therefore: the equation of the perpendicular line