Visualize the image in your mind and you can see that it forms a right angled triangle with a base,altitude and hypotenuse
base=2 feet
hypotenuse(ladder)=13 ft
We need to find the altitude,
By applying pythagoras theorem,
base square+altitude square=hypotenuse square
Take altitude as x
2 square+x square=13 square
4+x square=169
x square=169-4
x square=165
x= root of 165
x=12.8 feet(approx.)
Step-by-step explanation:
xy + 10 = 0. => y = -10/x.
2x + 3y = 7. => 3y = -2x + 7, y = -2/3 x + 7/3.
When -10/x = -2/3 x + 7/3,
-10 = -2/3 x² + 7/3 x, 2/3 x² - 7/3 x - 10 = 0.
=> 2x² - 7x - 30 = 0
=> (2x + 5)(x - 6) = 0
=> x = -2.5 or x = 6.
dy/dx = d/dx [-10/x] = 10/x².
When x = -2.5, dy/dx = 10 / (-2.5)² = 1.6.
When x = 6, dy/dx = 10 / (6)² = 5/18.
Hence the gradients at the points are 1.6 and 5/18.
Answer:
Which graph could represent a constant balance in a bank account over time? A graph titled Daily Balance. The horizontal axis shows time (days), numbered 1 to 8, and the vertical axis shows Balance (dollars) numbered 5 to 40. The line begins at 35 dollars in 0 days and ends at 0 dollars in 7 days. A graph titled Daily Balance. The horizontal axis shows time (days), numbered 1 to 8, and the vertical axis shows Balance (dollars) numbered 5 to 40. The line begins at 0 dollars in 5 days and extends vertically to 40 dollars in 5 days. A graph titled Daily Balance. The horizontal axis shows time (days), numbered 1 to 8, and the vertical axis shows Balance (dollars) numbered 5 to 40. The line begins at 30 dollars in 0 days and ends at 30 dollars in 8 days. A graph titled Daily Balance. The horizontal axis shows time (days), numbered 1 to 8, and the vertical axis shows Balance (dollars) numbered 5 to 40. The line begins at 0 dollars in 0 days and ends at 40 dollars in 8 days.
Surface Area of the cylinder is: <span>384.85
Volume of the cylinder is: </span><span>538.78</span>
