The formula for the area A of the triangle is A=1/2BH, where B is the length of the base, and H is the height
11. (5 pts) The area of a triangle of height h and base length b is A bh/2. The differential of the area is: 2 2 (a) A change in the length of the base is denoted: (circle the correct answer) dA db dh (b) If the area is held constant, then: (circle the correct answer) dA <0 dA>0 (c) If the height decreases by half a unit, what is the value of dh? dh- ) For a triangle with...
The height of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the triangle is increasing at a rate of 2.5 square centimeters per minute. At what rate is the base of the triangle changing when the height is 11 centimeters and the area is 92 square centimeters? Remember that you're using the formula for the area of a triangle: Area -bh (You'll need to know this formula in the normal homework assignments, quizzes and...
) 8. Suppose a triangle is constructed where two sides have fixed length a and b, but the third side has variable length x You can imagine there is a pivot point where the sides of fixed length a and b meet, forming an angle of θ. By changing the angle θ, the opposite side will either stretch or contract (a) Let K(x)- Vs(s - a)(s -b)(s - x), where s is the semiperimeter of the triangle. Accord ing to...
(-) Determine the approdato change of the area de a triangle. Aber where is the length of the triangle base and his the perpendicular height of the triangle (1) changes from (1012) to (10.5122) by using partial derivatives (1 marks) (b) Given a function z(x,y)=8y?+(x +2y2 + xy-10x-2y has a stationary point. Solve 2,2,,2,,2,, and Z. (10 marks) Determine the stationary point of z(x,y). (5 marks) BTB10203 Page 1 of 9 JANUARY 2020 CONFIDENTIAL Determine the type of the stationary...
Consider an isosceles triangle with base of length 18 and height of length 16. Divide this triangle into several polygonal pieces from which a square of side 12 can be assembled (use 1 cm as a unit).
I'm not sure about b,c,d. Is there anyone can help with this
question?
A rectangular box of height h metres with a square base with side x(t) metres, where initial length of the side of the base is x(0) 2 metres. The box is initially filled with water to a height of h(0)4 metres. The volume of water is given by Vt)(t) Over time, the sides of the base are decreasing ata ateof0.05 m/s and the water is leaking from...
a pond of height h, base of area a and mass mo is positioned on a mobile cart that can move ... Your question has been answered Let us know if you got a helpful answer. Rate this answer Question: A pond of height h, base of area A and mass Mo is positioned on a mobile cart that can move witho... A pond of height h, base of area A and mass Mo is positioned on a mobile cart...
10. Use Heron's formula to calculate the area of a triangle. In below formula, a, b, and c are the length of 3 sides of a triangle: s (a+b+c]/2 A Vs(s-a) (s-b) (s- e) Write a program to calculate area of triangle. Input a, b, e from console and display area.
(a) A pyramid has a height of 458 ft and its base covers an area of 14.0 acres (see figure below). The volume of a pyramid is given by the expression where B is the area of the base and h is the height. Find the volume of this pyramid in cubic meters. (1 acre 43,560 ft) m3 What If? If the height of the pyramid were increased to 517 ft and the height to base area ratio of the...
Part B As shown, a triangle has a base of b-4.20 ft and a height of h = 5.10 ft . (Figure 1)What is kI' the triangle's radius of gyration about the x axis? Express your answer numerically to three significant figures and include the appropriate units. View Available Hint(s) kValue Units Submit