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.
So percent means parts out of 100 so 75%=75/100=3/4
3/4 of 30
'of' means multiply
3/4 times 30=90/4=45/2=22.5
22.5 is the answer (or 22 and 1/2)
Answer:
D. -15
Step-by-step explanation:
f(x)=7
f(x) = -3x + 6
Then substitute x for 7 and solve linearly.
-3(7)+6
-21+6
=-15
The answer is D
Answer:
<h3>H. 150 ft</h3>
Step-by-step explanation:
Given the height of a golf ball in feet modelled by the formula h(t) = -16t² + 100x where t is in seconds, we are to find the height of the golf after 2.5 seconds. To do that we will simply substitute t = 2.5secs into the formula given;
Hence the height of the golf after 2.5 seconds is 150ft.
Answer:
y= -2/3x+10
Step-by-step explanation:
-2/3=slope, x-intercept=5 = (5,0)
formula is y-y1=m(x-x1)
(5,0) ---> 5=x1 0=y1
y-0= -2/3(x-5)
y-0= -2/3x+10
+0 +0
y= -2/3x+10
