Sin(45), or sin(pi/4) = sqrt(2)/2. So sin^2(45)= (sqrt(2)/2)^2, which is 1/2.
Answer:
B
Step-by-step explanation:
You can rule out all others. A is wrong because a triangle cannot be acute and obtuse at the same time. C is wrong because a polygon dosen't neccassarily need to be a triangle, for example, a polygon is a closed shape, so it could be a rectangle. It isn't D because there are obtuse triangles out there. So, the only one left is B.
The rate of change should be 2
Let's solve your system by substitution.
y
=
3
x
+
5
;
y
=
x
+
19
Step: Solve
y
=
3
x
+
5
for y:
y
=
3
x
+
5
Step: Substitute
3
x
+
5
for
y
in
y
=
x
+
19
:
y
=
x
+
19
3
x
+
5
=
x
+
19
3
x
+
5
+
−
x
=
x
+
19
+
−
x
(Add -x to both sides)
2
x
+
5
=
19
2
x
+
5
+
−
5
=
19
+
−
5
(Add -5 to both sides)
2
x
=
14
2
x
2
=
14
2
(Divide both sides by 2)
x
=
7
Step: Substitute
7
for
x
in
y
=
3
x
+
5
:
y
=
3
x
+
5
y
=
(
3
)
(
7
)
+
5
y
=
26
(Simplify both sides of the equation)
Answer:
x
=
7
and
y
=
26
Answer:
4+62=66
Step-by-step explanation: