Answer/Step-by-step explanation:
✔️Find EC using Cosine Rule:
EC² = DC² + DE² - 2*DC*DE*cos(D)
EC² = 27² + 14² - 2*27*14*cos(32)
EC² = 925 - 756*cos(32)
EC² = 283.875639
EC = √283.875639
EC = 16.85 cm
✔️Find the area of ∆DCE:
Area = ½*14*27*sin(32)
Area of ∆DCE = 100.15 cm²
✔️Since ∆DCE and ∆ABE are congruent, therefore,
Area of ∆ABE = 100.15 cm²
✔️Find the area of the sector:
Area of sector = 105/360*π*16.85²
Area = 260.16 cm² (nearest tenth)
✔️Therefore,
Area of the logo = 100.15 + 100.15 + 260.16 = 460.46 ≈ 460 cm² (to 2 S.F)
Answer:
13÷ 23
Step-by-step explanation:
The computation of the odds of player winning is shown below;
For $5 it is 40%
And, for $100 it is 25%
so for total it is
= 40% + 25%
= 65%
And, the total percentage is 100%
So, the odds in favor is
65:100
13:20
Now for winning it would be 13÷ 23
Answer:
5.7 units
Step-by-step explanation:
By geometric mean property:
108 kilometers is 108,000 meters
108,000 ÷ 60 = 1800 meters per minute
1800 ÷ 60 = 30
