Answer:
34 - 31i
Step-by-step explanation:
first, distribute to get 40 - 16i - 15i + 6i^2. i^2 = -1 so 6(-1) is -6. simplify to get 34 -31i
Answer: it will take 9 hours.
Step-by-step explanation:
The rain is falling at the rate of 1.5 inches per hour. This means that the height of water in the barrel is increasing in arithmetic progression.
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 18 inches
d = 1.5 inches
The expression becomes
Tn = 18 + 1.5(n - 1)
For the number of hours it would take to collect 30 inches of rain in the barrel, Tn = 30
Therefore,
30 = 18 + 1.5(n - 1)
1.5(n - 1) = 30 - 18
1.5(n - 1) = 12
n - 1 = 12/1.5 = 8
n = 8 + 1
n = 9
Answer:
kites have 2 pairs of congruent sides and kites have 2 pairs of consecuitive side
Step-by-step explanation:
I'm going to change those to 5/2 and 8/7
Dividing is the same multiplying by the reciprocal (reciprocal of x is 1/x, reciprocal of x/y is y/x)
So (5/2)/(8/7)=(5/2)*(7/8)=(5*7)/(2*8)=35/16
Final answer: 35/16
