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Lyrx [107]
3 years ago
9

In △ABC, m∠A=72 °, c=61 , and m∠B=16 °. Find the perimeter of the triangle.

Mathematics
1 answer:
Gemiola [76]3 years ago
6 0

Answer:

perimeter of the triangle = 136

Step-by-step explanation:

∡A = 72     side a = ?

∡B = 16      side b = ?

∡C = 180 - 72 - 16 = 92   side c = 61

sinA/a = sinC/c

sin72/a = sin92/61

a = (sin72 * 61) / sin92  

a = 58

sinA/a = sinB/b

sin72/58 = sin16/b

b = (sin16 * 58) / sin72

b = 17

perimeter = a + b + c

perimeter = 58 + 17 + 61

perimeter = 136

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Answer:

- 6/5

Step-by-step explanation:

To find the slope

m = ( y2-y1)/(x2-x1)

   = ( -5-1)/(2- -3)

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A piece of cardboard is 13 inches by 26 inches. A square is to be cut from each corner and the sides folded up to make an open-t
Vanyuwa [196]

Answer:

Hence the maximum possible volume will be the 778.53 c.c

Step-by-step explanation:

Given:

A rectangle with 13 x 26 dimensions

And corners are cut to form side squares.

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Maximum possible volume for box

Solution :

Consider a rectangle of 13 x 26 dimension with and side of square  at corner be x.

(Refer the attachment)

Now,

Formulating the volume equation for the box

So corner square sides we are going to fold up which makes height of the box

and remaining part will be length and breadth

As shown in fig,

Length=26-x

breadth=13-x

And height will be x

V(x)=x*(26-x)*(13-x)

To get maximum volume differentiate the above equation,

V(x)=x*(26*13-26*x-13*x+x^2)

V(x)=x^3-39x^2+338x\\

V'(x)=3x^2-78x+338

V''(x)=6x-78

Now ,Solve the Quadratic Equation to get x values,

3x^2-78x+338=0

x=[-b±(b^2-4ac)^1/2]/2a

x=[78±Sqrt[(78)^2-4*338*3)]/2*3

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x=[78±55.027]/6

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6x-78=6*22.17-78

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6*3.8288-78

=-55.0272<0 i.e. Function will have maximum value

Now, the function will defines the maximum volume

V(x)=x^3-39x^2+338x

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6 0
3 years ago
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cestrela7 [59]

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7 0
2 years ago
PLEASE HELP
ycow [4]

Answer:

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Step-by-step explanation:

Let

x---->  bushels of peaches

y---->  bushels of apples

we know that

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substitute equation B in equation A and solve for y

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13y=346-203

13y=143

y=143/13=11

5 0
3 years ago
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