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Nataly [62]
3 years ago
15

How do you work out the value of x?

Mathematics
2 answers:
denis23 [38]3 years ago
6 0

Answer: 45

Step-by-step explanation:

The total degrees in a circle is 360.

The perpendicular angle that you see is 90 degrees, added to angles of x and 3x, you get the total degrees.

so 90 + x + 3x = 90 + 4x = total

90 + 4x = 360

4x = 180

x = 45 degrees

densk [106]3 years ago
5 0

Answer:

360=90 degrees+x+3x

360-90=270 degrees

270÷4x

67.5 degrees

The answer is x=67.5 degrees

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If the farmer has 250 feet of fencing to create a rectangular pen, define a function f that expresses the area of the field (mea
hoa [83]

Answer:

Maximum area possible

f(max)  = 3906,25 ft²

Dimensions:

a  = 62,5  ft

w  = 62,5 ft

Step-by-step explanation:

Perimeter of the rectangular fencing    P  =  250 feet

And sides of the rectangle  a  and  w (width of rectangle)

Then

A =  a*w

2a  + 2w  = 250       ⇒  a  =  (250 -2w)/ 2    ⇒  a = 125 - w

f(w)  =  (125  - w ) *w        f(w)  = 125w - w²  

Taking derivatives both sides of the equation

f´(w)   =  125  - 2w              f´(w)   = 0           125  - 2w = 0

w = 125/2

w = 62,5 ft            ⇒  a = 125 - 62,5

a = 62,5 ft

f(max)  = ( 62,5)²

f(max)  = 3906,25 ft²

8 0
3 years ago
Can I get help? Giving brainliest!
lyudmila [28]
Yes you can get help.
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3 years ago
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