Answer:
- <u>200,000</u><em> 6-digit numbers can be constructed.</em>
Explanation:
Since the number is greater than 600,000, the first digit must be 6, 7, 8, or 9, so 4 different options: 4
The second, third, fourth, and fith digits can be either number 0 through 9, so 10 options for each one: 10 × 10 × 10 × 10.
Since the number must be odd and greater than 600,00, the last digit is odd, so it can be 1, 3, 5, 7, or 9, so 5 different options: 5.
Using the multiplication counting principle, you muliply the independent options to obtain the number of different combinations:
- 4 × 10 × 10 × 10 × 10 × 5 = 200,000.
Answer:
x =10
y = 10 sqrt(3)/ 3
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 60 = 5 sqrt(3) / x
x sin 60 = 5 sqrt(3)
x = 5 sqrt(3)/sin 60
x = 5 sqrt(3) / sqrt(3)/2
x = 5*2
x =10
tan theta = opp /adj
tan 60 = x/y
ytan 60 = 10
y = x/ tan 60
y = 10/ sqrt(3)
y = 10/ sqrt(3) * sqrt(3)/ sqrt(3)
y = 10 sqrt(3)/ 3
Answer:
y = -5/3x + 4/3z
Step-by-step explanation:
5x + 3y = 4z
3y = -5x + 4z
y = -5/3x + 4/3z
Answer:
Step-by-step explanation:
Answer:
0.4 in the lowest terms is 4/10 or 2/5
0.1 in the lowest terms is 1/10