Answer:
Step-by-step explanation:
1) ΔCPD & ΔEPF
∠CPD = ∠EPF { Vertically opposite angles}
∠CDP = ∠PFE {CD║EF, FD is transversal, Alternate interior angles are equal}
ΔCPD ≈ΔEPF {AA criteria for similarity }

Cross multiply
EF * 15 = 27 * 7.5

EF = 27 * 0.5
EF = 13.5 cm
ii) EF // AB, so Triangles ACB & ECF are similar triangles


AC = 37.5 cm
.5 * .5 *.5 = 1/8
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the probability to have head is .5 so the probability of tails 1-.5
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then the first time is head
the second time is head
the third time is tail
so
.5 * .5 *.5 = 1/8
F(x) = -x² + 25
g(x) = x + 5
(f ÷ g)(x) = ⁻ˣ²⁺²⁵/ₓ₊₅
(f ÷ g)(x) = ⁻¹⁽ˣ⁺⁵⁾⁽ˣ⁻⁵⁾/ₓ₊₅
(f ÷ g)(x) = -x + 5
Answer: the circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure.
Answer:
172.70 sq. ft.
Step-by-step explanation:
The surface area of a circular cone is
r = radius of base l = slant height
r = 4.4 and l = 8.1

SA = 3.14(19.36) + 111.9096
= 60.7904 + 111.9096
= 172.70 sq. ft.