Answer:
The value is 50.6cm
Step-by-step explanation:
In order to find this , set up a proportion. Use the smaller part of the triangle on top, and the corresponding part of the larger on bottom.
32.2/46.2 = x/72.6
Now cross multiply to solve
72.6*32.2 = 46.2*x
2337.72 = 46.2x
50.6 = x
Use the quadratic formula to find:
x
=
1
±
√
85
5
Explanation:
5
x
2
−
10
x
−
12
is of the form
a
x
2
+
b
x
+
c
with
a
=
5
,
b
=
−
10
and
c
=
−
12
This has discriminant
Δ
given by the formula:
Δ
=
b
2
−
4
a
c
=
(
−
10
)
2
−
(
4
×
5
×
−
12
)
=
100
+
240
=
340
=
2
2
⋅
85
This is positive, but not a perfect square, so the quadratic equation has a pair of irrational roots, given by the quadratic formula:
x
=
−
b
±
√
b
2
−
4
a
c
2
a
=
−
b
±
√
Δ
2
a
=
10
±
√
340
10
=
10
±
2
√
85
10
=
1
±
√
85
5
Answer:
80 is 50% of 160.
Step-by-step explanation:
In order to find this, we take the whole number and divide by the percentage that it represents. This gives us the number we are looking for.
80/50%
80/.50
160
Answer:
7/21
Step-by-step explanation:
