Answer:
86.53
Step-by-step explanation:
Area of Triangle Formula: A = 1/2bh
Pythagorean Theorem: a² + b² = c²
Step 1: Draw altitude and label numbers
If we draw a line down the middle, we can see that we get a perpendicular bisector and that we get 2 right triangles with a hypotenuse of 29 and a leg of 3. We need to find <em>h</em> using Pythagorean Theorem in order to use area formula:
3² + b² = 29²
b² = 29² - 3²
b = √832 = h
Step 2: Plug in known variables into area formula:
A = 1/2(√832)(6)
A = 3√832
A = 86.5332
From the beginning we know we are dealing with two different rates. Distance is equal to (Speed X Time). We have two different speeds though. We will call the min speed = x and the max speed = y. With those two ideas in place we can make two equations for both Tony and Rae.
Tony:
2x+3.5y=355
Rae:
2x+3y=320
Now you can solve the equations by subtracting Rae's equation from Tony's
.5y=35 solve for y and you get 70
Now plug that y value back into either equation and you can solve for x. I'll use Rae's distance:
2x+3(70)=320
x=55
Answer:
Since it does not plug in to the second linear equation, the ordered pair is not a solution of the linear system.
Step-by-step explanation:
(-1,3); y = -7x -4 y = 8x + 5 3 =7 - 4 3 =/ - 8 + 5
A = (1/2) bh for height h
2A = bh
first multiply both sides by 2 then divide both sides by b
Area of triangle = (1/2)bh
A = (1/2)bh
2A = bh
h = 2A/b
110 = 1/2(11)h
110 = 5.5h
110/5.5 = 20
The answer Is H = 20
Hope this helps (:
