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Luba_88 [7]
3 years ago
15

Find the one of the following sets of side lenghts could represent a right triangle

Mathematics
1 answer:
Yanka [14]3 years ago
3 0

Answer:

B

Step-by-step explanation:

Using the pythagorean theorem A^2 + B^2 = C^2 the only numbers that work are those in choice B. 8 short leg, 15 long leg, 17 hypotenuse.

8^2 + 15^2 = 17^2 = 64 +225=289 = 289=289 therefor proving these set of numbers are a right triangle.

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Calculate the a) future value of the annuity due, and b) total interest earned. (From Example 2)
vredina [299]

Answer:

  • value: $66,184.15
  • interest: $6,184.15

Step-by-step explanation:

The future value can be computed using the formula for an annuity due. It can also be found using any of a variety of calculators, apps, or spreadsheets.

__

<h3>formula</h3>

The formula for the value of an annuity due with payment P, interest rate r, compounded n times per year for t years is ...

  FV = P(1 +r/n)((1 +r/n)^(nt) -1)/(r/n)

  FV = 5000(1 +0.06/4)((1 +0.06/4)^(4·3) -1)/(0.06/4) ≈ 66,184.148

  FV ≈ 66,184.15

<h3>calculator</h3>

The attached calculator screenshot shows the same result. The calculator needs to have the begin/end flag set to "begin" for the annuity due calculation.

__

<h3>a) </h3>

The future value of the annuity due is $66,184.15.

<h3>b)</h3>

The total interest earned is the difference between the total of deposits and the future value:

  $66,184.15 -(12)(5000) = 6,184.15

A total of $6,184.15 in interest was earned by the annuity.

3 0
2 years ago
The two cones below have the same radius, height, and
lozanna [386]

Answer:

yes

Step-by-step explanation:

The cones are not concurrent because one cone is obliquewhich makes the length of these land height is different have the same radius same volumes and same height are the cones concurrent is the corresponding slant height sorry equal .concurrent counts must have concurrent corresponding slant height with all this corresponding being concurrent

3 0
2 years ago
Sam is a school leader. She wants to decide whether makeup should be allowed in school or not. She
anastassius [24]

Answer:

Following are the sample list can be attached as follows:

Step-by-step explanation:

In the given question some information is missing that is attachment of list which can be attached as follows:

please find the attachment list:

by evaluating the list it will give the answer that the both the samples most want to wear mascara the least want to wear lipstick.

8 0
3 years ago
What is the value of x that makes the given equation true?
Doss [256]
Hello there!

The correct answer is C

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

x - 3x = 2(4 + x)
Distribute the right side
x - 3x = (2)(4)+(2)(x)
x - 3x = 8 + 2x
Combine like terms
x - 3x - 2x = 8
-4x = 8
Divide both sides by -4
-4x/4 = 8/4
x = -2

Hence,
The correct answer is c

Have a nice day!
6 0
3 years ago
Read 2 more answers
What is b? <br>4 + b/2 = 9
Travka [436]
4 + b/2 = 9
       b/2 = 9 - 4
       b/2 = 5
    2(b/2) = 5(2)
          b = 10

hope this helps :)


6 0
3 years ago
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