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wel
3 years ago
8

two angles are complementary of the sum of their measures is 90 degree. The measure of the first angle is x degree and the secon

d angle is 38 degrees less than three times the first. find the measure of the two angles
Mathematics
1 answer:
Alik [6]3 years ago
6 0

9514 1404 393

Answer:

  32°, 58°

Step-by-step explanation:

The second angle is (3x-38), and their sum is ...

  x +(3x -38) = 90

  4x = 128 . . . . . . . . . add 38 and simplify

  x = 32 . . . . . first angle

  3x -38 = 3·32 -38 = 58 . . . . . . second angle

The measures of the two angles are 32° and 58°.

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debt payments of $800 due now and $1400 due in 5 months are to be repaid by a payment of $1000 in 3 months and a final payment i
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Answer:

$1,304.70

Step-by-step explanation:

If interest 6% annually, monthly is 0.5%.

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In 3 more months the debt will be 2220.201 plus compounded interest for 3 months minus payment

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Jacob consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Jacob's body
sasho [114]

Answer: 0.87400mg of caffeine.

Step-by-step explanation:

You have

N(t)=N0(e^−rt)(1)

as a general Exponential decay equation where N0 is the amount at t=0, N(t) is the amount remaining at time t and r is the exponential decay constant. You're specifically given that after 10 hours, the decay factor is 0.2601, i.e.,

N(10)/N(0)=N0(e^−10r)/N0(e^0)= e^−10r=0.2601 . .(2)

Taking the last 2 parts of (2) to the power of 0.1t gives

e^−rt=0.2601^.1t . .(3)

This means that

N(t)=N0(e^−rt)=N0(0.2601^.1t). .(4)

Also,

N(2.56)N(1.56)=N0(0.2601.1(2.56))N0(0.2601.1(1.56))=0.2601.1(2.56−1.56)=0.2601^.1

= 0.87400mg of caffeine.

6 0
3 years ago
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