Answer:
1) 0, 180
2) 90
3) 3pi/2
4) pi/2, -3pi/2
5) 90, 270
6) 0
7) pi
8) -2pi, 0, 2pi
Step-by-step explanation:
1) sinx = 0
x = 0, 180, 360
2) sinx = 1
x = 90
3) sinx = -1
x = 270 or 3pi/2
4) sinx = 1
x = pi/2, pi/2 - 2pi = -3pi/2
5) cosx = 0
x = 90, 360
6) cosx = 1
x = 0, 360
7) cosx = -1
x = pi
8) cosx = 1
-2pi, 0 , 2pi
Answer:
b1=
b2=
Step-by-step explanation:
Answer:
<u>Direction open's Right </u>
Vertex: (0,0)
Focus: (5/4, 0)
axes of symmetry: y = 0
directrix: x = - 5/4
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axes of symmetry.
Hope this really helps u have good day :)
The parametric equations for x and y describe a circle of radius 10 m, so the length of the base of the fence is the length of the circumference of a circle of radius 10 m. The formula for that circumference (C) is ...
... C = 2πr
... C = 2π·(10 m) = 20π m
The height as a function of angle (t) is found by substituting for x and y.
... h(t) = h(x(t), y(t)) = 4 + 0.01·((10cos(t))²-)10sin(t))²) = 4+cos(2t)
The average value of this over the range 0 ≤ t ≤ 2π is 4, since the cosine function has two full cycles in that range, and its average value over a cycle is zero.
Thus, the area of one side of the fence is that of a rectangle 20π m long and 4 m wide. That will be
... (20π m)·(4 m) = 80π m²
The amount of paint required to cover both sides of the fence is
... 2×(80π m²)×(1 L)/(10 m²) = 16π L ≈ 50.3 L
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You can work out the integral for area as a function of t. When you do, you will find it gives this same result.
The length and width of the new scale drawing is 36 inches and 24 inches respectively.
The given parameters:
- <em>Original scale of the soccer field, 1 inch : 12 yards</em>
The original length and width of the soccer field is calculated as follows;
1 inch : 12 yards
- original width = 6 x 12 yards = 72 yards
- original length = 9 x 12 = 108 yards
For the new scale of 1 inch : 3 yards, the new length and width are represented as;
<em>the </em><em>new width</em><em>:</em>
<em>the </em><em>new length</em><em>:</em>
Thus, the length and width of the new scale drawing is 36 inches and 24 inches respectively.
Learn more about scale drawing here:
