Tina plans to make wooden frames to put her two triangular art pieces in.
2 answers:
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Answer:
50 feet long
Step-by-step explanation:
Use the Pythagorean theorem to find the value of the missing side. The pythagoreon theorem only works with right triangles such as this one.
a²+b²=c²
Where a and b are length of legs (sides) of a triangle. And c is the length of the hypotenuse. The hypotenuse is the side across from the right angle.
We know by looking at the image posted in the question, that one leg of the triangle is 14 feet. And another leg is 48 feet. (Length of picnic area) (length of campground)
14²+48²=c²
Simplify
196+2304=2500
Find square root of 2500
√(2500)=50
So 14²+48²=50²
The missing side is 50 feet long. The fence is 50 feet long.
Attached is another example.
9514 1404 393
Answer:
3.61 seconds
Step-by-step explanation:
The bird starts 50 feet in the air, so will come down to a height of 40 feet after 3.61 seconds.
We want to solve h = 40.
40 = -16t^2 +55t +50
16t^2 -55t -10 = 0
t = (55 +√(55^2 -4(16)(-10)))/(2(16)) = (55 + √3665)/32 ≈ 3.61060
The bird will be 40 ft above the ground the first time after about 3.61 seconds.
