Answer:
Step-by-step explanation:
Angle BAC = Angle ACD = 50 degrees, because they are alternate angles.
Angle ACB = 180 - (50 + 80) = 50 degrees, because angles in a triangle sum up to 180 degrees.
Since Angle BAC = Angle BCA, triangle ABC is isosceles.
Answer:
30 tennis balls
Step-by-step explanation:
30 to 50 is equal to 3 to 5. And if there are 30 baseballs for every 50 tennis balls, and there are 80 balls in total, well...
30+50=80
So there are 30 tennis balls
Answer:
1.54
Step-by-step explanation:
The cotangent value is referred to as the reciprocal or the opposite of a given tangent value. Cotangent is also referred to as it's short form called cot
Mathematically, Cotangent (cot) = 1/tan
In the above question, we are given a value where:
tan = 33°
Cotangent (cot) = 1/tan 33°
Cotangent (cot) = 1.5398649638
We are told to approximate to the nearest hundredth
= 1.54
Answer:
Step-by-step explanation:
A geometric series is one where each term is multiplied by a constant value known as r to get the next term
Sum of n terms of a geometric series is

Sum of infinite series is obtained as the limiting value of this sum when n tends to infinity
We find that only when |r|<1, r power n tends to 0 as n tends to infinity.
Other r power n diverges.
Hence geometric series infinite sum formula is valid only when
|r|<1 since the series sum converges to a finite value
725 inches long.
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