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Marizza181 [45]
2 years ago
15

Help please,,

Mathematics
1 answer:
KiRa [710]2 years ago
6 0

Answer:

4. tan(D)=7/24 ≈ 0.2917

    tan(F)=24/7 ≈ 3.4286

6. tan(K)=3/5=0.6000

   tan(J)=5/3 ≈ 1.6667

Step-by-step explanation:

The tangent is the side opposite of the angle divided by the side adjacent to the angle.

4. tan(D)=7/24 ≈ 0.2917

EF  is opposite to D and has length 7. The adjacent side is the side forming the angle that is not the hypotenuse, so it's DE and the length is 24 units.

Do the same thing for the rest of the angles. (You probably already know that acute angles are smaller than 90 degrees, so you have to find the tangent of 2 angles in each problem.) I just used a calculator to divide, but you could do it by hand, and I'm guessing you know how to round. Hope I could help!

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slega [8]

Answer:

The compounded annually account will earn more interest over 10 years

Step-by-step explanation:

The rule of the simple interest is I = Prt, where

  • P is the original value
  • r is the rate in decimal
  • t is the time

The rule of the compounded interest is A = P(1+\frac{r}{n})^{nt}, where

  • A is the new value
  • P is the original value
  • r is the rate in decimal
  • n is the number of periods
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The interest I = A - P

∵ Each account start with $200

∴ P = 200

∵ They have an interest rate of 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∵ One account earns simple interest and the other is compounded  

   annually

∴ n = 1 ⇒ compounded annually

∵ The time is 10 years

∴ t = 10

→ Substitute these values in the two rules above

∵ I = 200(0.05)(10)

∴ I = 100

∴ The simple interest = $100

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∵ A = 200(1+\frac{0.05}{1})^{1(10)}

∴ A = 325.7789254

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∴ I = 125.7789254

∴ The compounded interest = $125.7789254

∵ The simple interest is $100

∵ The compounded interest is $125.7789254

∵ $125.7789254 > $100

∴ The compounded annually account will earn more interest

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Answer:

Step-by-step explanation:

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P=3a+a+(17+a)=52

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Step-by-step explanation:

Yes.

Assuming a, b and c are integers (not = 0)

a/b + b/c

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Step-by-step explanation:

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