One way is to first find the measure of one external angle:-
Measure 1 ext angle = 360 / 10 = 36 degrees (Note the sum of the external angles of all polygons is 360 degrees)
So the internal angle = 180 - 36 = 144
So sum of the internal angles
= 10 * 144
= 1440 degrees (answer)
Answer:
Dimensions of the poster
Width 29.10 cm
Height 38.80 cm
A(min) = 1129.08 cm²
Step-by-step explanation:
Printed area = 390 cm² = Ap
Lets call x and y dimensions of printed area
x width
y height
Then Ap = x*y and
y = Ap/x ⇒ y = 390/x
Then total area of the poster is:
A(t) = ( x + 12 ) * ( y + 16 ) and y = 390/x
A as a function of x
A(x) = ( x + 12 ) * ( 390/x + 16 ) ⇒ A(x) = 390 + 16x + 4680/x + 192
A(x) = 582 + 16x + 4680/x (1)
Taking derivatives
A´(x) = 16 - (4680/x²) ⇒ A´(x) = 0
[ 16x² -4680] /x² = 0 16x²- 4680 = 0 ⇒ x² = 4680/16
x = 17.10 cm and y = 390/x y = 390/17.10 y = 22.80 cm
A(t) = ( 17.10 + 12 ) * ( 22.80 + 16 )
A(t) = 29.10 * 38.80
A(t) = 1129.08 cm²
If we substitute in equation (1) the value of x ( 17.10) we see A(x) > 0
Then there is a minimun at the point x = 17.10
Answer:
m= -1
x= 4/7
Step-by-step explanation:
Answer: y + 2= 0.5(x - 4) Is this good?
Step-by-step explanation:
13 and 3/5 is equivalent to 68/5. 3 is equivalent to 15/5. So, you get (68-15)/5 to get 10.6 or 10 3/5
Another way is that 3 doesn't affect the fractional part, so you just need to know that 13-3 is 10, and you get your answer of 10 3/5
