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.
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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:
lette B I guess its corect
Step-by-step explanation:
Free to correct me
Since R is the midmoint of QS that means that QR and RS are equal to each other. So first you need to find x. There are many different ways to set up the equation to solve for x, but I'll show you the easiest one:
QR+QS=RT+QR
(2x-4)+(2x-4)=(8x-43)+(2x-4)
Combine like terms:
4x-8=10x-47
Isolate Variable:
4x-8=10x-47
-4x -4x
6x-47=-8
Isolate Constant:
6x-47=-8
+47 +47
6x=39
Divide:
x=6.5
Check Your Answer:
(Plug in 6.5 as x)
(4(6.5)-8)=(8(6.5)-43)+(2(6.5)-4)
18=18
Its C. He substituted incorrectly when calculating the constant of variation.
Reason: He said so
100% = 50
1% = 50/100 = 0.5
52% = 0.5 x 52 = 26
There are 26 green jelly beans in the jar:)
