Answer:
Explanation:
We have:
(
2
x
+
3
)
(
4
x
2
−
5
x
+
6
)
Now let's distribute this piece by piece:
(
2
x
)
(
4
x
2
)
=
8
x
3
(
2
x
)
(
−
5
x
)
=
−
10
x
2
(
2
x
)
(
6
)
=
12
x
(
3
)
(
4
x
2
)
=
12
x
2
(
3
)
(
−
5
x
)
=
−
15
x
(
3
)
(
6
)
=
18
And now we add them all up (I'm going to group terms in the adding):
8
x
3
−
10
x
2
+
12
x
2
+
12
x
−
15
x
+
18
And now simplify:
8
x
3
+
2
x
2
−
3
x
+
18Step-by-step explanation:
The Pythagorean theorem tells you the square of the hypotenuse is equal to the sum of the squares of the sides.
BC² = AB² + AC²
BC² = 4² +4² = 32
BC = √32 = 4√2
BC = 4*1.41 = 5.64
The length of segment BC is 5.64 m.
Answer:
D.) 1/5
Explanation:
Experimental probability is the ratio of the number of successes to the number of trials.
In this case, success is a bulls-eye. Tim had 10 bulls-eyes. The total number of trials is 50. This makes the experimental probability 10/50, or 1/5.
Answer:

multiply either sides by 3:

divide either sides by πr² :

Answer:
The word "of" in the question means multiply, so you need to multiple these two fractions.
2/3 x 4/5 = 8/15