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SOVA2 [1]
3 years ago
12

ENCHI

Mathematics
1 answer:
BabaBlast [244]3 years ago
7 0

Given :

A T.V. is measure by its diagonal.

To Find :

If the height of a 60 inch  T.V. is 32 inches, what is the width.

Solution :

We know, T.V. is rectangular in shape and angle between two sides of rectangular is 90° .

Let, width of T.V. is x.

Applying Pythagoras theorem in sides, we get :

height^2 + width^2 = hypotenuse^2\\\\23^2 + x^2 = 60^2\\\\x = \sqrt{3600 -529 }\\\\x = 55.42 \ inches

Therefore, width of T.V. is 55.42 inches.

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A cylindrical package with half a hemisphere to be sent by a postal service can have a maximum combined length (height of the cy
artcher [175]

Answer:

36 x 18 x 18

Step-by-step explanation:

By Lagrange multiplier's method,

∇f(x,y,z)= λ∇g(x,y,z) & g(x,y,z)=k

considering x,y,z as three unequal sides of the box

f(x,y,z)=xyz

If x represents the length, then constraint condition is g(x,y,z)= x + 2(y+z) =108

We have the following three equations:

yz= λ -->eq(1)               fx= λgx

xz=2λ -->eq(2)              fy=λgy

xy= 2λ -->eq(3)             fz=λgz

x+2y+2z=108-->eq(4)

Dividing eq(2) by eq(1), we'll have

x / y =2

=> x= 2y

Also, by using eq(2)and eq(3), we can represent y=z

By substituting 'x= 2y' and 'y=z' in eq(4), we have

eq(4)=>

2y+ 2(y+y)= 108

y=108/6

y=18

<u>For x: </u> x=2y=> 2(18)=>36

<u>For z: </u>z= y = 18

Therefore, the dimensions are 36 x 18 x 18

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The step function f of x is graphed what is the value of f of 0?​
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Answer:

AYYYYYYYYYYYY YO IS SNOOP DOGG

Step-by-step explanation:

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Step-by-step explanation:

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How do you solve f(x) = x2 + x - 20?​
Darina [25.2K]

\huge \bf༆ Answer ༄

Let's solve ~

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: {x}^{2}  + x - 20

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: {x}^{2}  + 5x - 4x - 20

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x(x + 5) - 4(x + 5)

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:(x + 5)(x -  4)

It's factorized now ~ And if you want to find the zeros then equate the expression with 0.

And you will get ;

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x =  - 5 \:  \: and \:  \: 4

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2 years ago
Please help Assssaaaappp!!! <br> almost due and im having trouble.
USPshnik [31]
A. Nancy has the greatest spread because her longest training time was 105 and her shortest being 82, making the spread 23, and Peter’s spread is only... Longest: 112 Shortest: 92 making it 20!
b. Nancy. Middle %50 would be Peter’s 110-92 making the spread 18, and Nancy’s spread is 93-90 making the spread making it 12
c. The spreads tell us they are very close to each other, and just Peter has more time but a less spread than Nancy.
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