Answer:
38°
Step-by-step explanation:
The measure of required angle can be obtained by using cosine law.
From the given triangle we find that:
a = 5, b = 3, c = 7,
Since,
cos (A) = (b^2 +c^2 - a^2) /2bc
Therefore,
cos (A) = (3^2 + 7^2 - 5^2) /(2*3*7)
cos (A) = (9 + 49 - 25) /(42)
cos (A) = (33) /(42)
cos (A) = 0.785714286
A = arccos(0.785714286)
A = 38.213210675°
A = 38°
Answer:
22 feet
Step-by-step explanation:
Area of circle = pi(r²)
the square root of 121 is 11, so r = 11
d = 2r
d = 22
The correct answer is " (1) Reflect ABC across the x-axis and call this new triangle A'B'C'. (2) Translate A'B'C' 2 units right and 6 units up so that its image is A''B''C''. "
It is assumed that the points are
A in ABC is (1,9), B in ABC is (3,12), and C in ABC is (4,4).
A'' in A''B''C'' is (3,-3), B'' in A''B''C'' is (5,-6), and C'' in A''B''C'' is (6,2).
Both triangles are congruent. Since they are congruent, there are no contractions nor dilations occured. After rotating clockwise, we get A"C"B". So we need to reflect it to get A"B"C"
hope this helped :D
Volume = 2 x 6 x 1 + 1 x 2 x 2
Volume = 16 cubic feet
Shipping Cost = 20 + 1 x 6 = $26
Answer:
f
(
x
)
=
5
x
2
−
2
x
+
3
g
(
x
)
=
4
x
2
+
7
x
−
5
f
(
g
(
x
)
)
=
5
(
4
x
2
+
7
x
−
5
)
2
−
2
(
4
x
2
+
7
x
−
5
)
+
3
=
80
x
4
+
280
x
3
+
45
x
2
−
350
x
+
125
−
8
x
2
−
14
x
+
10
+
3
=
80
x
4
+
280
x
3
+
45
x
2
−
8
x
2
−
350
x
−
14
x
+
125
+
10
+
3
f
(
g
(
x
)
)
=
80
x
4
+
280
x
3
+
37
x
2
−
364
x
+
138
The answer is
f
(
g
(
x
)
)
=
80
x
4
+
280
x
3
+
37
x
2
−
364
x
+
138
.
Step-by-step explanation:
