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3 years ago

Find the area of the polygon

Mathematics

1 answer:

Helen [10]3 years ago

8 0

Answer:

Step-by-step explanation:

Assuming a perpendicular line(apotherm) is extended from the midpoint of the polygon to the midpoint of one of its sides, then we can determine the length of the apotherm by applying Pythagorean theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Let a represent the apotherm

Hypotenuse = 4

Apotherm = a

Opposite = a(apotherm = length of each side/2)

Therefore,

4² = a² + a²

16 = 2a²

a² = 16/2 = 8

a = √8 = 2√2

The formula for determining the area of a polygon is expressed as

Area = a² × n × tan 180/n

Where n represents the number of sides of the polygon.

n = 6

Therefore,

Area = (2√2)² × 6 × tan(180/6)

Area = 48 × tan 30

Area = 27.2

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Write an equation to model growth or decay in the following scenario. A stock is declining at a rate of 25% of its value every 2

yawa3891 [41]

The exponential function that models this situation is:

$y(t) = 225(0.75)^{\frac{t}{2}}$

------------------------------------------

A decaying exponential function has the following format:

$y(t) = y(0)(1 - r)^t$

In which:

y(0) is the initial value.
r is the decay rate, as a decimal.

In this problem:

The stock started at $225, thus $y(0) = 225$ .
Declines at a rate of 25% every 2 weeks, thus $r = 0.25, t = \frac{t}{2}$

The equation is:

$y(t) = y(0)(1 - r)^t$

$y(t) = 225(1 - 0.25)^{\frac{t}{2}}$

$y(t) = 225(0.75)^{\frac{t}{2}}$

A similar problem is given at brainly.com/question/24282972

3 0

2 years ago

Please help with this ASAP!!1

d1i1m1o1n [39]

Answer:

a. OM is congruent to ON.

Step-by-step explanation:

To use the HL Theorem, you must have a congruent hypotenuse and a congruent leg. In this case, you have two congruent hypotenuses. You just need to find two congruent legs.

a. OM is congruent to ON. This says that two legs are congruent, so this is your answer.

b. LM is congruent to ML. This does not help as it is saying a segment is the same as the same segment.

c. and d. Both of these use angle measurements, which does not help with the HL Theorem.

Hope this helps!

7 0

3 years ago

Please answer quick!!

IRINA_888 [86]

Answer:

mBC = 96°

mB = 55°

mC = 77°