*see attachment for diagram
Answer:
Perimeter = 38
Step-by-step explanation:
Recall: when two tangents are drawn to meet at a point outside a circle, the segments of the two tangents are congruent.
Given,
CQ = 5
PQ = 10
PR = 14
Perimeter of ∆PQR = RC + CQ + QB + BP + PA + AR
CQ = QB = 5 (tangents drawn from an external point)
BP = PQ - QB
BP = 10 - 5 = 5
BP = PA = 5 (tangents drawn from an external point)
AR = PR - PA
AR = 14 - 5 = 9
AR = RC = 9 (tangents drawn from an external point)
✔️Perimeter of ∆PQR = RC + CQ + QB + BP + PA + AR
= 9 + 5 + 5 + 5 + 5 + 9
Perimeter = 38
Answer:
y= 2.08
Step-by-step explanation:
4.58 - 2.5
4.58
- 2.50
-----------
2.08
Answer:
Given statement: Ivan and Tanya share £150 in the ratio 4:1
let the number be x.
Then, the share of Ivan be 4x and the share of Tanya be x.
From the given scenario,
the equation that would best represent the given will be;
Combine like terms;
Divide both sides by 5 we get;
Simplify:
x =£30
Then,
the share of Ivan is, 4x = 
and the share of Tanya is, x =£30
Therefore, £90 more Ivan gets compared to Tanya.
Angle of depression=14°
height of tower=h=140 ft
tan(14°)=x/140
x=34.906 ft (distance from tent to the base of tower)
