Answer:
D) 132°
Step-by-step explanation:
8x+12=5x+57 subtract 5x from both sides
3x+12=57 subtract 12 from both sides
3x= 45 divide by 3 from both sides
X=15
5(15)+57=132°
Answer:
Step-by-step explanation:
First you need to find the are between everything
So SA= 1/2 length time width.
I am also pretty sure then you find the circumference and diameter of a circle.
The answer is 153 degrees
Answer:
the answer is 20+6h=15+8h
Answer:
x = 8,49 ft
y = 4,24 ft
Step-by-step explanation:
Let x be the longer side of rectangle and y the shorter
Area of rectangle = 36 ft² 36 = x* y ⇒ y =36/x
Perimeter of rectangle:
P = 2x + 2y for convinience we will write it as P = ( 2x + y ) + y
C(x,y) = 1 * ( 2x + y ) + 3* y
The cost equation as function of x is:
C(x) = 2x + 36/x + 108/x
C(x) = 2x + 144/x
Taking derivatives on both sides of the equation
C´(x) = 2 - 144/x²
C´(x) = 0 2 - 144/x² = 0 ⇒ 2x² -144 = 0 ⇒ x² = 72
x = 8,49 ft y = 36/8.49 y = 4,24 ft
How can we be sure that value will give us a minimun
We get second derivative
C´(x) = 2 - 144/x² ⇒C´´(x) = 2x (144)/ x⁴
so C´´(x) > 0
condition for a minimum
Answer:
x = -11.9
Step-by-step explanation:
x + 5.1 = –6.8
Subtract 5.1 from each side
x + 5.1-5.1 = –6.8-5.1
x = -11.9
