Answer:
D 22.5CM
Step-by-step explanation:
Answer:
9 over 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
x = small barrettes
y = large barrettes
13x + 11y = 142.......multiply by -1
13x + 12y = 149
-----------------------
-13x - 11y = -142 (result of multiplying by -1)
13x + 12y = 149
------------------------add
y = 7..........large barrettes used 7 yards
13x + 11y = 142
13x + 11(7) = 142
13x + 77 = 142
13x = 142 - 77
13x = 65
x = 65/13
x = 5........small barrettes used 5 yards
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)
