Answer:
One leg - 15 inches
Second leg - 36 inches.
Step-by-step explanation:
One leg - x inches.
Second leg - (x + 21) inches.
Hypotenuse - 39 inches.
Using Pythagorean theorem
x² + (x + 21)² = 39²
x² + x² + 2*21x + 21² = 39²
2x² + 42x - 39² + 21² = 0
2x² + 42x - 1080 = 0
x² + 21x - 540 = 0
(x - 15)(x + 36) = 0
x = 15, x = - 36
We can use only positive value.
One leg - x inches = 15 inches
Second leg - (x + 21) inches = 15+21=36 inches.
Answer:
x ≈ 55.6
Step-by-step explanation:
Using the sine ratio in the right triangle
sin20° =
=
( multiply both sides by x )
x × sin20° = 19 ( divide both sides by sin20° )
x =
≈ 55.6 ( to the nearest tenth )
Answer:
y=a(x^2-5x+4)
Step-by-step explanation:
I mean there are a bunch of answers. to figure it out, you can use the formula where you have solved the zeroes in terms of x.
y=(x-1)(x-4)
y=x^2-5x+4
Now if you add any a value to this function, your function will stretch or compress accordingly
y=a(x^2-5x+4)
So there isn't a single correct answer, but if you're looking for a bunch, then just replace the a value with whatever value you want, you'll still get the same answer since they're all proportional to one another.
Driving 40 miles in 2 hours is the answer
The complete question in the attached figure
Part A) find the perimeter
[perimeter of the garden]=[perimeter square 1]+[perimeter a quarter circle]+[perimeter square 2]
[perimeter square 1]=5+5+5-----> 15 ft
[perimeter square 2]=5+5+5-----> 15 ft
[perimeter a quarter circle]=(2*pi*r)/4------> 2*pi*5/4-----> 7.85 ft
[perimeter of the garden]=[15]+[7.85]+[15]-------> 37.85 ft
the answer Part A) isthe perimeter of the garden is 37.85 ftPart B) Find the area of the garden
[Area of the garden]=[Area square 1]+[Area a quarter circle]+[Area square 2]
[Area square 1]=5*5-----> 25 ft²
[Area square 2]=5*5-----> 25 ft²
[Area a quarter circle]=(pi*r²)/4------> pi*5²/4-----> 19.625 ft²
[Area of the garden]=[25]+[19.625]+[25]-------> 69.625 ft²
the answer Part B) isthe Area of the garden is 69.625 ft²