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mrs_skeptik [129]
3 years ago
5

Help? Thanks!!!!!!!! If possible show work please!

Mathematics
1 answer:
FrozenT [24]3 years ago
5 0

Answer:

B =102

Y = 32

Step-by-step explanation:

Solving (47):

To solve for B, we have:

B + 50 + 28 = 180 --- sum of angles in a triangle

This gives

B + 78 = 180

Collect like terms

B =- 78 + 180

B =102

Solving (48):

To solve for Y, we have:

X + Y+ Z = 180 --- sum of angles in a triangle

This gives

Y = 180 - X - Z

Where

W+ X=180 -- angle on a straight line

Solve for X

X=180 -W

X=180 -100 = 80

So, we have:

Y = 180 - X - Z

Y = 180 - 80 - 68

Y = 32

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A closed box with a square base is to have a volume of 13 comma 500 cm cubed. The material for the top and bottom of the box cos
andrezito [222]

Answer:

x  =  1,5 cm

h  =  6  cm

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Step-by-step explanation:

Volume of the box is :

V(b)  = 13,5 cm³

Aea of the top is equal to area of the base,

Let call  " x " side of the base then as it is square area is A₁ = x²

Sides areas are 4 each one equal to x * h  (where h is the high of the box)

And volume of the box is   13,5 cm³  = x²*h

Then   h  =  13,5/x²

Side area is :  A₂ =  x* 13,5/x²

A(b)  = A₁  + A₂

Total area of the box as functon of x is:

A(x)  = 2*x²  + 4* 13,5 / x

And finally cost of the box is

C(x)  = 10*2*x²   +  2.50*4*13.5/x

C(x)  = 20*x²  +  135/x

Taking derivatives on both sides of the equation:

C´(x)  =  40*x   -  135*/x²

C´(x)  = 0     ⇒      40*x   -  135*/x² = 0    ⇒  40*x³ = 135

x³  = 3.375

x  = 1,5 cm

And   h  =  13,5/x²     ⇒   h  =  13,5/ (1,5)²

h = 6 cm

C(min)  = 20*x²  + 135/x

C(min)  = 45  +  90

C(min)  = 135 $

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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

That exterior angle of 111 is equal to the sum of the triangle's remote interior angles. We add the 37 + 35 to get a total angle measure of 72. That means that the base angle on the right is 111 - 72 = 39. That 39 degree angle is vertical to x; that means that x = 39 as well.

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