We know that
1 ft--------> is equals to 12 in
the ramp is 12 inches tall----------> 1 ft tall
<span>A ramp measures------------------> 6 ft long
</span>
<span>applying the Pythagorean theorem
</span>c²=a²+b²
where
c-----> 6 ft long
a----> horizontal distance
b-----> 1 ft tall
a²=c²-b²------> a²=6²-1²-----> a²=35------> a=√35------> a=5.92 ft
the answer is
5.92 ft
The answer would be -3x^2+3 x + 36
because 4x+20y=-36,so ( 4x+20y)/2=2x+10y=-18
(2x+10y)-(2x+5y)=-18-18
5y=-36
then y=-7.2
because 2x=18-5y
so x=(18-5y)/2=(18-5*(-7.2))/2=27
Diameter of the semicircle = 10 km.
Explanation: perimeter of semicircle = 1 2
the circumference + diameter Given: perimeter of semicircle = 25.7 k
m
Circumference of circle with radius r
= 2
π
r where 2
r
= diameter ⇒
25.7
=
22
π
r
+
2
r
⇒
25.7
=
π
r
+
2
r
=
r
(
π
+
2
) ⇒
25.7
=
r
(
3.14
+
2
)
=
r
(
5.14
) ⇒
r
=
=5m
⇒d
i
a
m
e
t
e
r
=
2
r
=
10
k
m