The first thing we will do is define an equilateral triangle:
In geometry, an equilateral triangle is a regular polygon with three equal sides. In traditional Euclidean geometry, equilateral triangles are also equiangular, that is, the three internal angles are also congruent to each other, each angle with a value of 60 °
Every equilateral triangle consists of three equal sides and three congruent angles.
Therefore, there can be a triangle with three equal sides (5 centimeters in this case).
Answer:
1) one
F(x) = x^2 - 3x - 7
f(-3) = (-3)^ 2 - 3(-3) - 7
f(-3) = 9 + 9 - 7
f(-3) = 18 - 7
f(-3) = 11
From the identity,
sin^2(x)+cos^2(x)=1
then
cos(x)=sqrt(1-sin^2(x))
where sin(x) is given as 0.42.
Note that the above answer applies to 0<x<90 degrees
Answer:
The diameter is equal to the circumference divided by the number pi
Step-by-step explanation:
we know that
The circumference of the circular walkway is equal to
where
D is the diameter
we have
substitute
so
Divide the diameter by the circumference
The diameter is equal to the circumference divided by the number pi
A
Step-by-step explanation:First, subtract
2
π
r
2
from each side of the equation to isolate the
h
term:
S
−
2
π
r
2
=
2
π
r
h
+
2
π
r
2
−
2
π
r
2
S
−
2
π
r
2
=
2
π
r
h
+
0
S
−
2
π
r
2
=
2
π
r
h
Now, divide each side of the equation by
2
π
r
to solve for
h
:
S
−
2
π
r
2
2
π
r
=
2
π
r
h
2
π
r
S
−
2
π
r
2
2
π
r
=
2
π
r
h
2
π
r
S
−
2
π
r
2
2
π
r
=
h
h
=
S
−
2
π
r
2
2
π
r
Or
h
=
S
2
π
r
−
2
π
r
2
2
π
r
h
=
S
2
π
r
−
2
π
r
2
2
π
r
h
=
S
2
π
r
−
r
2
r
h
=
S
2
π
r
−
r
