Answer: After 6 hour for the first question
Step-by-step explanation: Cause ∣x+
1−x
2
∣=
2
(2x
2
−1)\Leftright∣cos\alp+sin\alp∣=
2
(2cos
2
\alp−1)
∣
N
2
c
o
s
(
\alp
−
π
4
)
∣
=
N
2
c
o
s
(
2
\alp
)
\Right
\alp
∈
[
0
;
π
4
]
∪
[
3
π
4
;
π
]
∣N
2
cos(\alp−
4
π
)∣=N
2
cos(2\alp)\Right\alp∈[0;
4
π
]∪[
4
3π
;π]
1)
\alp
∈
[
0
;
π
4
]
\alp∈[0;
4
π
]
c
o
s
(
\alp
−
π
4
)
=
c
o
s
(
2
\alp
)
…
cos(\alp−
4
π
)=cos(2\alp)…
2.
\alp
∈
[
3
π
4
;
π
]
\alp∈[
4
3π
;π]
−
c
o
s
(
\alp
−
π
4
)
=
c
o
s
(
2
\alp
)
…
−cos(\alp−
4
π
)=cos(2\alp)…
The pieces of fabric are already the correct length, so it is just a matter of how many panels will fit into one piece of fabric. 2/(1/2) = 4, so she can make 4 panels from 1 piece of fabric.
Answer:
Area: 125
Perimeter: 60
Step-by-step explanation:
I got this answer by calculating the area and perimeter. To find the area, multiply length x width. To find the perimeter, you have to add your length and width two times.
The figure is made up of two semi-circles and one triangle
--------------------------------
Find Radius
--------------------------------
Radius = Diameter ÷ 2
Radius = 5 ÷ 2
Radius = 2.5 ft
Area of the semi-circle = 1/2 πr²
Area of the semi-circle = 1/2 x π x (2.5)²
Area of the semi-circle = 9.82 ft²
Area of the triangle= 1/2 x base x height
Area of the triangle = 1/2 x 6 x 4
Area of the triangle = 12 ft²
Total area = 9.82 + 9.82 + 12
Total area = 31.63 ft²
--------------------------------------------
Total Area = 31.63 ft²
--------------------------------------------
Answer:
56°
Step-by-step explanation:
Since triangle ABD and triangle CBD are congruent (SAS), so you can divide m∠ABC by 2 to get the m∠ABD and m∠CBD, or 56°.
