Answer:
1.28
Step-by-step explanation:
I did the math.
All the edges of a cube are the same length.
Volume = length x width x height
Volume = 9in x 9in x 9in = 729 in³
Answer:
1/6
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given that
is a right angled triangle.

and

Kindly refer to the attached image of
in which all the given angles are shown.
To find:
sin(38°) = ?
a) cos(38°)
b) cos(52°)
c) tan(38°)
d) tan(52°)
Solution:
Let us use the trigonometric identities in the given
.
We have to find the value of sin(38°).
We know that sine trigonometric identity is given as:

....... (1)
Now, let us find out the values of trigonometric functions given in options one by one:

....... (2)
By (1) and (2):
sin(38°)
cos(38°).
...... (3)
Comparing equations (1) and (3):
we get the both are same.

The result is
9
a
2
−
16
The reason is the following:
The problem is an example of a notable product: "the sum multiplied by the diference is equal to the difference of squares", that is to say:
(
a
+
b
)
⋅
(
a
−
b
)
=
a
2
−
b
2
.
By applying this to our question, we obtain that:
(
3
a
−
4
)
⋅
(
3
a
+
4
)
=
(
3
a
)
2
−
(
4
)
2
=
9
a
2
−
16
.