Answer:
87.5
Step-by-step explanation:
Area = 11+7
--- x 7
2
OR
Area = a+b/2 x h
Answer:
Step-by-step explanation:
Square roots are all irrational except a very few that are perfect squares.
The top one is irrational because sqrt(3) is irrational. That fact that it has a rational (3) added on does not matter. This is still irrational.
The second one is irrational for the same reason.
The third one is an odd result. The two factor binomials are both irrational, but when multiplied, give a rational result
(4 - sqrt(5)) * (4 + sqrt(5)) = 16 - sqrt(5)*sqrt(5) = 16 - 5 = 11
The fourth one is also a bit tricky. Focus on sqrt(6) for a second.
sqrt(6) = sqrt(2)*sqrt(3) Try this on your calculator. Since there is a sqrt(3) in both the numerator and the denominator they cancel. The Two sqrt(2)'s multiply together to give 2 which cancels with two in the numerator. The result is rational. It is 2.
The fifth one gives 4^(1/2) = 2; 27^(1/3) = 3
2 + 3 = 5
See if you can figure out why the sixth one is irrational.
A linear function has a constant slope and usually in a form such as
Y=x
While exponential functions have a slope that changes throughout the fuction such as
Y= X2
Hope this helps !
The simple interest Trey earns if he makes no additional deposit or withdrawal for a period of 6 years is 600
<h3>How to calculate simple interest?</h3>
= 2/100
= 0.02
Simple interest = principal × rate × time
= 5000 × 0.02 × 6
= 600
Therefore, the simple interest Trey earns if he makes no additional deposit or withdrawal for a period of 6 years is 600
Learn more about simple interest:
brainly.com/question/20690803
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The given geometric series as shown in the question is seen to; Be converging with its' sum as 81
<h3>How to identify a converging or diverging series?</h3>
We are given the geometric series;
27 + 18 + 12 + 8 + ...
Now, we see that;
First term; a₀ = 27
Second Term; a₁ = 2(27/3)
Third term; a₂ = 2²(27/3²)
Fourth term; a₃ = 2³(27/3³)
Thus, the formula is;
2ⁿ(27/3ⁿ)
Applying limits at infinity gives;
2^(∞) * (27/3^(∞)) = 0
Since the terms of the series tend to zero, we can affirm that the series converges.
The sum of an infinite converging series is:
S_n = a/(1 - r)
S_n = 27/(1 - (2/3)
S_n = 81
Read more about converging or diverging series at; brainly.com/question/15415793
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