Answer:
20.7 ft each
Step-by-step explanation:
See the diagram attached below which describes and represents the information given to us.
The tangents are PA and PB.
Tangents form right angle with the radius of a circle, therefore:
<OBP = <OAP = 90°
Therefore ∆OBP is a right triangle.
m<APO = m<BPO = ½(60) = 30°
Thus, in ∆OBP,
Reference angle = 30°
Side length opposite to reference angle = 12 ft
Adjacent length = length of tangent PB
Apply trigonometric function TOA, to find PB:
Tan 30 = Opp/Adj
Tan 30 = 12/PB
PB × Tan 30 = 12
PB = 12/Tan 30
PB = 20.7846097 ≈ 20.7 ft (nearest tenth)
Length of each segment = 20.7 ft
Answer:
y = -3x + 5
Step-by-step explanation:
point-slope formula: y-y1 = m(x-x1)
y-(-1) = -3(x-2)
y+1 = -3x + 6
y = -3x + 5
Answer:
28 units
Step-by-step explanation:
ABCD is a rectangle. AC and BD are diagonals intersecting at point E.
Diagonals of a rectangle bisect each other.
(diagonals of a are equal in measure)
Answer:
(7m + 10) yards of cloth was used
Step-by-step explanation:
This is a multiplication problem. Firstly, we are told that she sew m shirts and she used 2 yards of cloth for each of the shirts. The total amount of materials used here is m * 2 = 2m yards
She also sew another (m + 2) Shirts using 5 yards of materials for each of the shirts. The total amount of materials used is thus 5(m + 2) which equals (5m + 10) yards
The total amount of cloth used altogether is thus 2m + (5m + 10) = (7m + 10) yards of cloth
X squared +14=9x
Square both sides and you get
X+14=3x subtract 14 from both sides
Z
X=3x-14 subtract 3x
-2x=-14 divide negative 2
X=7
