Find slope: (y2-y1)/(x2-x1)
(0-4)/(-5-5) = -4/-10 = 2/5
Y = 2/5x + b
Plug in one point
4 = 2/5(5) + b, b = 2
Solution: y = 2/5x + 2
Answer:
We can see here that the two sides of both triangle are equal to each other, therefore both triangles are isosceles triangles.
And also the two chords are parallel to each other, which let us know that:
b° = 40°
We also proved that that triangle is an isosceles triangle so:
b° = c° = 40°
Which makes it possible to calculate d°:
b° + c° + d° = 180°
40° + 40° + d° = 180°
d° = 180° - 40° - 40°
d° = 100°
Not sure if my thinking process make sense, but I'm quite sure about the answers.
Prove sin^6 a + cos^6 a =1-3sin^2 a cos^ a
1) sin^6 a + cos^6 a = (sin^2 a)^3 + (cos^2 a)^3
2) a^3 + b^3 = (a+b) (a^2 - ab + b^2)
3) (sin^2 a)^3 + (cos^2 a)^3 = (sin^2 a + cos^2 a) (sin^4 a - sin^2 a* cos^2 a) + cos<span>^4 a)
4) </span><span>(sin^2 a + cos^2 a) = 1
5 ) </span>sin^6 a + cos^6 a = sin^4 a + cos^4 a - sin^2 a* cos^2 a<span>
6) a</span>^4 + b^4 = (a^2 +b^2 )- 2 a^2 b^2
7) sin^4 a + cos^4 a -sin^2 a* cos^2 a =(sin^2 a + cos^2 a)-2sin^2 acos<span>^2 a
8) </span>sin^6 a + cos^6 a = 1- 2sin^2 a cos^2 a - <span>sin^2 a* cos^2 a
9) </span><span>sin^6 a + cos^6 a = 1- 3 sin^2 a cos^2 a</span>
Answer: My distance from the tree is approximately 15 feets
Step-by-step explanation:
The diagram of the tree, its shadow and the sun is shown in the attached photo. A triangle, ABC is formed.
x = my distance from the tree
Angle B = 33(angle formed by the shadow of the tree on the ground)
To determine my distance from the tree, x we would apply trigonometric ratio
Tan# = opposite side /adjacent side
Where
# = 33 degrees
x = adjacent side
opposite side = 10 feets
Tan 33 = 10/x
xtan33 = 10
x = 10/tan 33
x = 10/0.6494
x = 15.4
My distance from the tree is 15.4 feets
My distance from the tree is approximately 15 feets
Given
∠SRT ≅ ∠STR
m∠SRT = 28, m∠STU = 4x
Find the value of x.
To proof
As given
m∠SRT = 28
Thus
∠STR = 28
( As given ∠SRT ≅ ∠STR )
∠STU +∠ STR = 180°
( by Linear pair property )
put the value of∠STR in the above equation
we get
∠STU = 180 - 28
∠STU = 152°
∠STU = 4x
thus we get
4x = 152°
x = 38°
Hence proved