Answer:
x= 5√7
Step-by-step explanation:
Use the Pythagorean theorem
16^2= 9^2 + x^2
x^2=175
x= √175
x= 5√7
Answer:
16 packages
Step-by-step explanation:
5 2/5 + 2 1/4 Use the common denominator of 20
5 8/20 + 2 5/20
7 13/20
I know that I will need 14 packages for the 7 pounds. For the fraction part, 10/20 would be half, so I would need to buy a half pound for that, but I need 13/20 which would be more than a half pound, so I will need to buy 2 more pounds for the fraction part.
14 + 2 = 16
To find how much of 5/8 is you would need to divide 1/2 by 5/8:
X = (1/2) / (5/8)
When dividing fractions, you reverse the second fraction and multiply:
X = (1/2) x (8/5)
X = 8/10
Simplify:
X = 4/5
Answer: 6 weeks
Step-by-step explanation: $54 x 6 = $324
Discriminant, D = b² - 4ac
x² - 4x + 5 = 0 comparing to ax² + bx + c = 0
a = 1, b = -4, c = 5
D = b² - 4ac = (-4)² - 4*1*5 = 16 - 20 = -4
In taking the square root of the discriminant of -4, √-4 = 2i = Not Real. So:
Discriminant is -4, so the equation has no real roots.
The second option is correct.