Write $ 55.26 in expanded form
2 answers:
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Answer:
x ≈ 25.4 Km
Step-by-step explanation:
Using the tangent ratio in the right triangle on the right
tan54° = =
( multiply both sides by 17 )
17 × tan54° = opp , thus
opp ≈ 23.4
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Using the cosine ratio in the right triangle on the left
cos23° = =
( multiply both sides by x )
x × cos23° = 23.4 ( divide both sides by cos23° )
x = ≈ 25. 4 Km ( to the nearest tenth )
In order to solve this problem, you need to use a geometric series:
where:
a₁ = first term of the series = 36000
r = common rate = 10% raise, therefore 1.10
n = number of terms = 5
Therefore,
<span>
= 219783.60 $
Luke's total earnings in five years are <span>219783.60 $.</span>
</span>
where:
a₁ = first term of the series = 36000
r = common rate = 10% raise, therefore 1.10
n = number of terms = 5
Therefore,
<span>
= 219783.60 $
Luke's total earnings in five years are <span>219783.60 $.</span>
</span>
Answer:
See explanation
Step-by-step explanation:
Find the diagonal of the square. The side of the square is 5 cm long. By the Pythagorean theorem,
If the square (being inside the circle) touches the circle, then the diagonal of the square is exactly the diameter of the circle. The diameter of the circle is twice the radius of the circle, so
Since the diagonal is shorter than the diameter, the square can fit into the circle without touching the circle.