Answer:

Step-by-step explanation:
Notice that the focus is a points on the vertical axis, that means the parabolla opens vertically, and has the form

Because the parameter
is positive and equal to 0.75. Additionally, the vertex is at the origin, that's why the equation is this simple.
Replacing the parameter value, we have

Therefore, the equation of a parabolla with vertex at the origin and focus at (0, 0.75) is
.
Any transformation involving change of scale will not result in a congruent figure. Rotations and reflections and translations maintain congruence.
Answer:

Step-by-step explanation:
Given

Required
Simplify

Cancel out 18

Divide 4 and 2

Divide 27 and 12 by 3

Apply law of indices


Divide 2 and 4


Rewrite as:

Hence:

Answer:
A
Step-by-step explanation:
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)