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:
Step-by-step explanation:
Given that you and a friend play a game where you each toss a balanced coin.
If the upper faces on the coins are both tails, you win $1;
if the faces are both heads, you win $2;
if the coins do not match (one shows a head, the other a tail), you lose $1 (win (−$1)).
Let Y be the amount won
Then Y can take values as 1,2 and -1
The above is the probability distribution for Y.
Answer:
132.32
Step-by-step explanation:
6+6+123 = 132, then add up the rest of the numbers after the decimals
Given two points (x₁,y₁) and (x₂,y₂)the slope passes through these points will be:
m=(y₂-y₁)/(x₂-x₁)
In this case the slope will be:
(7,-8)
(-4,6)
m=(6+8)/(-4-7)=14/-11=-14/11
point-slope form of a line: we need a point (x₀,y₀) and the slope (m).
y-y₀=m(x-x₀)
In this case, we know the slope (m=-14/11), and we can choose either of two points. The line will be the same.
(-4,6)
m=-14/11
y-y₀=m(x-x₀)
y-6=-14/11(x+4) ⇒ (point-slope form)
<span>Answer: D. y-6=-14/11(x+4)</span>
