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4 years ago

Is this set of numbers a Pythagorean triple? yes or no

Mathematics

1 answer:

Kaylis [27]4 years ago

8 0

Answer:- No.

Explanation :-

Substitute these numbers in pythagoras theorem to check if the set of numbers is a pythagorean triplet.

Pythagoras theorem :- sq. of hypotenuse (longest side) is equal to the sum of sq.s of other two sides.

Here,

hypotenuse = 12 (as it is the longest side)

and other two sides are 6 and 9.

----> 6^2 + 9^2 = 12^2

----> 36 + 81 = 144

----> 117 = 144

Since, LHS is not equal to RHS, this set of numbers is not a pythagorean triplet.

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in the following ordinary annuity interest is compounded with each payment and the payment is made at the end of the compounding

stealth61 [152]

Answer: $59313.58

Step-by-step explanation:

We know that formula we use to find the accumulated amount of the annuity ( ordinary annuity interest is compounded ) is given by :-

$FV=A(\frac{(1+\frac{r}{m})^{mt})-1}{\frac{r}{m}})$ , where A is the annuity payment deposit, r is annual interest rate , t is time in years and n is number of periods.

Given : Annuity payment deposit :A= $4500

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Now we get,

$FV=(4500)(\frac{(1+\frac{0.06}{1})^{1\times10})-1}{\frac{0.06}{1}})\\\\\Rightarrow\ FV=(4500)(\frac{(1.06)^{10})-1}{0.06})\\\\\Rightarrow\ FV=(4500)(\frac{0.79084769654}{0.06})\\\\\Rightarrow\ FV=(4500)(13.1807949423)\\\\\Rightarrow\ FV=59313.5772407\approx59313.58 \ \$

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4 years ago

5) Last week a Pizza Hut sold 36 cheese pizzas, 64 pepperoni pizzas, and 20 veggie pizzas. Based on these data, which number is

Goshia [24]

Answer:

$P(Cheese) = 0.30$

Step-by-step explanation:

Given

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$Veggie = 20$

Required

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This is calculated as:

$P(Cheese) = \frac{Cheese}{Total}$

$P(Cheese) = \frac{36}{36+64+20}$

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$P(Cheese) = 0.30$

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3 years ago

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Answer:

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Step-by-step explanation:

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