Answer:
b
Step-by-step explanation:
The equation:
3
x
2
−
5
x
−
12
=
0
is in the form:
a
x
2
+
b
x
+
c
=
0
with
a
=
3
,
b
=
−
5
,
c
=
−
12
The roots are given by the quadratic formula:
x
=
−
b
±
√
b
2
−
4
a
c
2
a
x
=
5
±
√
(
−
5
)
2
−
4
(
3
)
(
−
12
)
2
(
3
)
x
=
5
±
√
25
+
144
6
x
=
5
±
√
169
6
x
=
5
±
13
6
That is:
x
=
5
+
13
6
=
18
6
=
3
or
x
=
5
−
13
6
=
−
8
6
=
−
4
3
Sin51=y/12
y=12sin51 units
y≈9.33 units (to nearest hundredth of a unit)
...
tanα=12/5
α=arctan2.4°
α≈67.38° (to nearest hundredth of a degree)
...
tan13=x/24
x=24tan13 units
x≈5.54 units (to nearest hundredth of a unit)
...
sin20=10/x
x=10/sin20 units
x≈29.24 units (to nearest hundredth of a unit)
Answer: 5/6 ÷ 5/12 = 5/6 x [12]/[5] = [60]/30 =2
Step-by-step explanation:
The key to this is knowing that when you divide anything by a fraction, it is the same as multiplying by the reciprocal of the fraction, or the flipped version. In this case, we are given 5/6 divided by 5/12, which equals 5/6 x12/5. Then you can so normal fraction multiplication to get 60/30, which is 2.
Answer:
9.25 or or 9 1/4
Step-by-step explanation:
Answer:
chance
Step-by-step explanation:
Each time you roll a die, you have a 
chance of rolling a 3. It's even rarer to roll two 3s in a row, and to find a consecutive probability, we have to multiply the two probabilities. In this case, both probabilities are .
Hope this helped!
