Answer:
You can check it by solving it in your head. They are separating at the rate of 55-40 or 15 miles per hour. So in 1 hour or 60 minutes they'll be 15 miles apart, so in 20 minutes they'll be 5 miles apart, so in 40 minutes they'll be 10 miles apart. So it has to be 40 minutes.
Step-by-step explanation:
55t-40t=10
15t=10
15t/15=10/15
2/3
40 Minutes
Answer:
26.17 cm²
Step-by-step explanation:
Applying,
A = πr²∅/360................. Equation 1
Where A = Area of the sector, r = radius of the circle the sector was formed from, ∅ = angle subtends by the sector at the center of the circle , π = pie.
From the question,
Given: r = 5 cm, ∅ = 120°, π = 3.14
Substitute these values into equation 1
A = 3.14(5²)(120)/360
A = 26.17 cm²
Hence the area of the sector is 26.17 cm²
First, we should apply the present value of annuity formula. It is
and in this formula
is the present value of annuity factor.
Then, we can find the present value of the annuity by writing that,
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Y - y1 = m(x-x1)
y - 7 = -3/2(x + 6)
