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Reptile [31]
2 years ago
6

Name the missing coordinate(s) of each triangle

Mathematics
2 answers:
Aneli [31]2 years ago
5 0
13- C (a,a) Y (a,0)
14- B (0,b) P (a,0)
Cloud [144]2 years ago
3 0

Answer:

13) C (a, a)  Y (a, 0)

14) B (0, b)  P (a, 0)

Step-by-step explanation:

13) Y lies on x axis so it is Y(a,0)

ZY = YC = a

so for C coordinates are (ZY,YC) = (a, a)

14) B lies on y axis so it is B(0, b)

BK = BP = \sqrt{a^{2} + b^{2}  } = distance between two points

so P is (a, 0) as it is same distance and on positive side of x axis

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If 1200 cm^2 of material is available to make a box with a square base and an open top find the largest possible volume of the b
strojnjashka [21]
Surface area of box=1200 cm² 
<span>Volume of box=s²h </span>
<span>s = side of square base </span>
<span>h = height of box </span>
<span>S.A. = s² + 4sh </span>
<span>S.A. = surface area or 1200 cm², s²
 = the square base, and 4sh = the four 'walls' of the box. </span>
<span>1200 = s² + 4sh </span>
<span>1200 - s² = 4sh </span>
<span>(1200 - s²)/(4s) = h </span>


<span>v(s) = s²((1200 - s²)/(4s)) </span>
<span>v(s) = s(1200 - s²)/4 . </span>
<span>v(s) = 300s - (1/4)s^3</span>

by derivating
<span>v'(s) = 300 - (3/4)s² </span>
<span>0 = 300 - (3/4)s² </span>
<span>-300 = (-3/4)s² </span>
<span>400 = s² </span>
<span>s = -20 and 20. </span>
again derivating
<span>v"(s) = -(3/2)s </span>
<span>v"(-20) = -(3/2)(-20) </span>
<span>v"(-20) = 30 </span>
<span>v"(20) = -(3/2)(20) </span>
<span>v"(20) = -30 </span>


<span>v(s) = 300s - (1/4)s^3 </span>
<span>v(s) = 300(20) - (1/4)(20)^3 </span>
<span>v(s) = 6000 - (1/4)(8000) </span>
<span>v = 6000 - 2000 
v=4000</span>
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2 years ago
Cos72cos130+sin72sin130
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Answer:

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Step-by-step explanation:

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3 0
3 years ago
A rectangle has an area 12cm². If the length of the rectangle is ( x + 1 )cm and the width is x cm, find the possible value(s) o
Komok [63]
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5 0
2 years ago
Read 2 more answers
Could someone please explain how to solve for the area?
mixas84 [53]

9514 1404 393

Answer:

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Step-by-step explanation:

You seem to have several problems of this type, so we'll derive a formula for the area of an n-gon of radius r.

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__

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8 0
2 years ago
Read 2 more answers
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aliya0001 [1]

Answer:

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Step-by-step explanation:

- Zombie

4 0
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