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Pani-rosa [81]
3 years ago
13

E is an option btw but i need work provided plz!

Mathematics
1 answer:
enot [183]3 years ago
3 0

PQ is a radius. QS is tangent to the circle. In this scenario (a radius and a tangent passing through the same point of the radius) the two segments are always perpendicular.

This implies that PQS is a right triangle. We know that PQ = 10 because it's a radius.

Also, we have

PS=PR+RS = 10+16 = 26

because PR is a radius and RS is given.

So, we can derive QS using the pythagorean theorem:

QS = \sqrt{PS^2-PQ^2} = \sqrt{676-100} = \sqrt{576} = 24

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The perimeter of a rectangle is dependent on the length of each of its sides. Suppose the base of a rectangle is two more than i
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3 years ago
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a barangay has 1000 individuals and its population doubles every 60 years. Give an exponential model for the barangay's populati
sdas [7]

Answer:

P(t) = 1000e^(0.01155)t

Step-by-step explanation:

Let the population of barangay be expressed according to the exponential formula;

P(t) = P0e^kt

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P0 is the initial population

t is the time

If barangay has 1000 initially, this means that P0 = 1000

If the population doubles after 60years then;

at t = 60, P(t) = 2P0

Substitute into the formula

2P0 = P0e^k(60)

2 = e^60k

Apply ln to both sides

ln2 = lne^60k

ln2 = 60k

k = ln2/60

k = 0.01155

Substitute k = 0.01155 and P0 into the expression

P(t) = 1000e^(0.01155)t

Hence an exponential model for barangay's population is

P(t) = 1000e^(0.01155)t

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