Answer:
x = 10
Step-by-step explanation:
By looking at the picture, I can tell the angle of the 3x is also 30 degrees.
This means 3x = 30.
When you solve for x by dividing each side by 3, you result with the answer of x = 10.
To check you work, plug in 10 for x to recieve 30 degrees again.
4 times n=-48
4n=-48
that is the translateion
1) Dimensiones of the cardboard:
length: 10 inches
width: 8 inches
2) dimensions of the squares cut
length: x
width: x
3) dimensions of the box:
length of the base = 10 - 2x
width of the base = 8 - 2x
height = x
4) Volume of the box
V = (10 - 2x) (8 - 2x) x = x [80 - 20x - 16x + 4x^2] = x [ 80 - 36x + 4x^2 ] =
V = 80x - 36x^2 + 4x^3
5) Maximum volume => derivative of V, V' = 0
V' = 80 - 72x + 12x^2 = 0
6) Solve the equation
Divide by 4 => 3x^2 - 18x + 20 = 0
Use the quadratic formula: x = 1.47 and x = 4.53 (this is not valid)
So, the answer is the option C. 1.5 inches.
Answer:
9.54 cm
Explanation:
area = πr^2
286 cm^2= πr^2
=>πr^2= 286 cm^2
=>r^2= 286÷π
=>r= √286÷π
: 9.54. m
circumference=2πr
=> circumference=2×π×9.54
=60 cm
Answer:
6.23
Step-by-step explanation:
Percent means 'per 100'. So, 6.23% means 6.23 per 100 or simply 6.23/100. If you divide 6.23 by 100, you'll get 0.06230000000000001 (a decimal number).