Answer:
Step-by-step explanation:
The interval notation will be:
The contrary,
is 
The area of the triangle formed by his path is 34971.98 ft sq to the nearest hundredth.
<h3>What is the Heron's formula?</h3>
The Heron's formula is given as;
√s(s-a)(s-b)(s-c)
where s is half the perimeter of the triangle
WE have been given that horse gallops 200ft, turns and trots 350ft, turns again and travels 410ft to return to the point he started from.
Perimeter of the triangle is given as = 200 + 350 + 410 = 960 ft
Semi perimeter = 960 ft/ 2 = 480 ft
Area = √s(s-a)(s-b)(s-c)
Area = √480 (480 -200)(480 -350)(480 -410)
Area = √480 (280)(130)(70)
Area = √480 (2548000)
Area = 34971.98
The area of the triangle formed by his path is 34971.98 ft sq to the nearest hundredth.
Learn more about the Heron's formula;
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The complete question is
A horse gallops 200ft, turns and trots 350ft, turns again and travels 410ft to return to the point he started from. What is the area of the triangle formed by his path? round to the nearest hundredth.
Answer:
1.) 90 ways
2.) 15,600 ways
3.) 24 ways
Step-by-step explanation:
1.) Let's say we are given 2 digits not equal to each other...The number of different orderings would be 2*1 = 2, or if we wanted the number of ways to order 2 digits chosen : 10*9 = 90 ways
2.) The number of ways to arrange 3 letters from 26 letters is:
26 Permutes 3 = 26! / (26 -3)! = 26*25*24 = 15,600 ways to choose 3 letters in a certain order
3.) 4 different chores. The number of ways to do them = 4*3*2 *1 = 24 ways
3x^2 - 8x + 5
3x^2 - 3x - 5x + 5
3x(x - 1) - 5(x - 1)
(x - 1)(3x - 5)
The answer is: (x - 1)(3x - 5).
