Anyone who could do these 8 listed questions I will give a generous amount of points. Please make sure to list all the angles th
at apply because there are potentially multiple answers available per choice .
1 answer:
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
Sketches attached for more reference.
Also, remember 180° is pi radians
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Answer: 1 dozen cupcakes can be made in 12 cups of flour.
Step-by-step explanation:
Given : The amount of flour a baker has =
The number of cupcakes he made by using all flour =
i.e. cupcakes made in
cups of flour
By unitary method ,
1 cupcake made in cups of flour.
i.e. 1 cupcake made in cups of flour.
Then , 12 cupcakes can be made in cups of flour.
= 27 cups of flour.
Since<em> 1 dozen = 12</em>
Then , 1 dozen cupcakes can be made in 12 cups of flour.
Answer:
The Graph for Both is attached below.,
For line , y = 4x + 2 ......Red color Line on Graph
For line , y = -x + 7 ............Purple color Line on Graph.
Point of Intersection is ( 1 , 6 ) ....Orange Color
Step-by-step explanation:
Assume, y = 4x+2
Given:
For y = 4x + 2
Let the points be point A, and point B
To Find:
Point of Intersection of Two given lines= ?
Solution:
For Drawing a graph we require minimum two points but we will have here three points.
For y = 4x + 2
For point A( x₁ , y₁)
Put x = 0 in the given equation we get
y=4(0) + 2 =2
y=2
∴ y = 2
∴ point A( x₁ , y₁) ≡ ( 0 ,2)
For point B( x₂ , y₂)
Put y= 0 in the given equation we get
0= 4x+2
∴ point B( x₂ , y₂) ≡
Therefore,
The two points for the line 2x - 4y = 20 are
point A( x₁ , y₁) ≡ ( 0 ,-5)
point B( x₂ , y₂) ≡ (2 , 0)
Similarly,
For y = -x + 7
Put x = 0 in the given equation we get
y=-(0) + 7 =7
y=7
∴ y = 7
∴ point C( x₁ , y₁) ≡ ( 0 , 7)
For point D( x₂ , y₂)
Put y= 0 in the given equation we get
0= -x+7
∴ x = 7
∴ point D( x₂ , y₂) ≡ ( 7 , 0 )
For line , y = 4x + 2 ......Red color Line on Graph
point A( x₁ , y₁) ≡ ( 0 ,2) .....Green color point on graph
point B( x₂ , y₂) ≡ ..........Blue color point on graph
For line , y = -x + 7 ............Purple color Line on Graph
point C( x₁ , y₁) ≡ ( 0 , 7 ) .....Black color point on graph
point D( x₂ , y₂) ≡ ( 7 , 0 ) ...Red color point on graph
Point of Intersection is ( 1 , 6 ) ....Orange Color