Answer:
Θ = 46°
Step-by-step explanation:
the angle between a tangent and a radius at the point of contact is 90° , so
∠ ABO = 90°
since OB = OD ( radii of circle ) then Δ BOD is isosceles and
∠ OBD = ∠ ODB = 22°
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ AOB is an exterior angle of the triangle , then
∠ AOB = 22° + 22° = 44°
the sum of the 3 angles in Δ AOB = 180° , then
Θ + 44° + 90° = 180°
Θ + 134° = 180° ( subtract 134° from both sides )
Θ = 46°
Although there is no picture, I will assume this is a triangle we are talking about since the terms base and height are being used. If that is the case, the height is roughly 38.72in.
To find this, we will use the area of a triangle formula.
1/2bh = a ---> plug in known values.
1/2(12.6)(h) = 244 ---> multiply to simplify
6.3(h) = 244 ----> divide both sides by 6.3
h = 38.73
It would end up being 2 dollars and 45 cents
You would end up at (3,-1)
moving left and right is the x
moving up and down is the y
Answer:
length : 10 yard
width: 14 yard
Step-by-step explanation:
Let l be the length of the yard.
Since the width is 6 yards less than twice its length, we can say the width is 2l-6.
With width x length=area,
l (2l -6) = 140
2l^2 - 6l = 140
2l^2 - 6l - 140 = 0
Using the quadratic formula,
we can determine l = 10 or -7
since the length should not be negative,
the length is 10 yard.
Now substitute l=10 into 2l-6.
width = 2(10)-6
= 14 yard
