Answer:
3
Step-by-step explanation:
Since the shelves are 75.5cm long, the total length she would be needing is 75.5cm × 6 = 453cm
Now, the length of the wood she is using is 180cm, to get enough length to make the shelves, we would need to divide 453cm by 180cm which gives a value of around 2.51
This is approximately equal to 3 when rounded up to the nearest whole number.
The answer would be 19.25 ft because 1cm x 2.5 = 2.5 ft so you will have to do the same to 7.7 cm : 7.7cm x 2.5 = 19.25 ft.
Answer:
y=4x+1
Step-by-step explanation:
i hope this helps :)
i think the best answer is b.cos60 + sin60+1/8(5 +3cos40) the answer is -0.88232537463→
a
3
+
b
3
=
(
a
+
b
)
(
a
2
−
a
b
+
b
2
)
→
a
2
+
b
2
=
(
a
−
b
)
2
+
2
a
b
→
sin
2
x
+
cos
2
x
=
1
→
2
cos
2
x
=
1
+
cos
2
x
and
→
2
sin
2
x
=
1
−
cos
2
x
L
H
S
=
cos
6
(
x
)
+
sin
6
(
x
)
=
(
cos
2
x
)
3
+
(
sin
2
x
)
3
=
[
cos
2
x
+
sin
2
x
]
[
(
cos
2
x
)
2
−
cos
2
x
⋅
sin
2
x
+
sin
2
x
)
2
]
=
1
⋅
[
(
cos
2
x
−
sin
2
x
)
2
+
2
cos
2
x
⋅
sin
2
x
−
cos
2
x
⋅
sin
2
x
]
=
[
cos
2
(
2
x
)
+
cos
2
x
⋅
sin
2
x
]
=
1
4
[
4
cos
2
(
2
x
)
+
4
cos
2
x
⋅
sin
2
x
]
=
1
4
[
2
(
1
+
cos
4
x
)
+
sin
2
(
2
x
)
]
=
2
4
⋅
2
[
2
+
2
cos
4
x
+
sin
2
(
2
x
)
]
=
1
8
[
4
+
4
cos
4
x
+
2
sin
2
(
2
x
)
]
=
1
8
[
4
+
4
cos
4
x
+
1
−
cos
4
x
]
=
1
8
[
5
+
3
cos
4
x
]
=
R
H
S
Answer:
f(x) = x^3 + 2x^2 + x + 2
Step-by-step explanation:
If -2 + i is a zero, then -2 - i must also be a zero.
These zeros are -2, -2 + i and -2 - i, and the corresponding factors of the polynomail f(x) are (x + 2), (x + 2 - i) and (x + 2 + i).
(x + 2 - i) and (x + 2 + i) multiplied together becomes x^2 + 1.
Multiplying this result by the 3rd and last factor, (x + 2), we get
(x^2 + 1)(x + 2) = x^3 + 2x^2 + x + 2
Check, using synthetic division. What are the factors of x^3 + 2x^2 + x + 2?
-2 / 1 2 1 2
-2 -2 -2
-----------------------
1 0 -1 0 Since the remainder is zero, we know that
(x + 2) is a factor and -2 is a root.