The answer is diameter: 32 in, area: 64 in²
The perimeter of a sector of a circle is:
P = 2r + l
l = r<span>θ
P = 2r + r</span>θ<span>
P = 32 in
32 = 2r + r</span><span>θ
</span>32 - 2r = r<span>θ
</span>θ = (32 - 2r)/r
θ = (2*16 - 2*r)/r
θ = 2(16 - r)/r<span>
Area of the sector of the circle is:
A = r</span>²/2 * θ
A = r²/2 * 2(16 - r)/r
A = r² * (16 - r)/r
A = r(16 - r)
A = 16r - r²
For the maximum area:
A' = 16 - 2r
A' = 0
16 - 2r = 0
16 = 2r
r = 8 in
The diameter (D) of the circle is twice of the radius:
D = 2r = 2 * 8 = 16 in
The maximum area is:
A = 16r - r²
r = 8 in
A = 16 * 8 - 8²
A = 128 - 64
A = 64 in²
Answer:
(A) Incoming students at a particular university.
Step-by-step explanation:
In Mathematics, population is defined as a discrete group of people, animals or things that can be identified by at least one common characteristics for the purpose of data collection and analysis.
In this question incoming students are classified as a population as they share common characteristic of being new to this particular university.
Answer:
5
Step-by-step explanation:
I just know the answer is five
Answer:
The correct answer is A. T(c) = (c + 160)/4
Step-by-step explanation:
To solve this, we need to start by using c as a standard term instead of in terms of t. Then we simply solve for t.
C = 4t - 160 ----> Add 160
C + 160 = 4t ----> Divide by 4
(C + 160)/4 = t
Answer:
$71.59
Step-by-step explanation:
