Answer:
The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.
Step-by-step explanation:
The area of a sector for a radius r and an angle θ is given as
Whereas the area of a circle for a radius r is given as
Now the ratio is given as
Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to
Here as π is constant the only variable here is θ. Thus according to Brooks conjecture when the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal is true.
Answer:
3/2
Step-by-step explanation:
Answer: 40 unit²
Step-by-step explanation:
A square pyramid is composed of 1 square and 4 congruent triangles
STEP ONE. Find the area of the square.
A=b²
b=base
A=b²=4²=14
STEP TWO. Find the area of the triangle
A=(1/2)bh
b=base
h=height
A=(1/2)bh
A=(1/2)(4)(3)
A=(1/2)(12)
A=6
There are 4 congruent triangles, so 6×4=24
The surface area of whole=24+16=40 unit²
Hope this helps!! :)
Please let me know if you have any questions
False; consider as a counterexample the function <em>f</em> : ℝ→ℝ defined by
Clearly <em>f</em> approaches -3 as <em>x</em> gets closer to -2, but neither limit from either side is equal to the function's value at <em>x</em> = 2 (that is, -3 ≠ 0), so <em>f</em> is not continuous.
A = 1/2 bh = 1/2(8)(6) = 48/2 = 24
answer
first one.
24 square units
