Answer:
20
Step-by-step explanation:
After asking so many questions of this type, I hope you understand the way to answer them.
5 types of noodles
4 choices of vegetable sides
Number of different pasta diners = 4 * 5 = 20
Factoring out x
x(-3x^2+15x+42) now factor parenthetical expression
x(-3x^2+21x-6x+42)
x(-3x(x-7)-6(x-7))
x(-3x-6)(x-7) we can factor out -3 from first parentheses
-3x(x+2)(x-7)
Area of the electronic board is 9000 cm2
Step-by-step explanation:
Write ratios to represent the unknown actual length and width of the display to the scale length and width of the display.
The Electronic board always seems like a rectangular shape
Length= scale÷Actual = 5/36 = 5×36 = 180cm
Width=scale÷Actual = 1/50 = 1×50 = 50cm
Area of Rectangle = legnth × width
= 180cm × 50cm = 9000 cm2
Area of the electronic board is 9000 cm2
The angle is a complementary angle so both angles add up to 90 degrees
Therefore set your equation equal to 90 to find angle of x
53+x=90
Subtract 53 from both sides
X= 37 degrees