Answer:
answer C (0,-9)
Step-by-step explanation:
the line passes through (0,-9)
Answer:
30 feet
Step-by-step explanation:
To find the distance use a trigonometric ratio. Since we are looking for the hypotenuse and we are given the opposite side we will be using the ration of sine. We can set up the equation like this by using x as the measure we are looking for.
Sin of x=Opposite leg/Hypotnuse
Sin of 30= 15/x
Multiply by x and then divide by Sin of 30 to isolate the x.
x=15/Sin of 30
Plug it in to a calculator.
x=30
9 3/4 is heavier than 9 5/8. If you multiply 3/4 by 2/2, you will get 6/8, which is greater than 5/8.
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:
4/5
Step-by-step explanation:
we divide by 3 the numerator and the denominator:
(12/3) / (15/3)
we have:
4/5
