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zaharov [31]
2 years ago
14

To the nearest tenth of a degree, find the sizes of the acute angles in the 5-12-13 triangle and in the 9-12-15 triangle. This e

nables you to calculate the sizes of the angles in the 13- 14-15 triangle. Show how to do it, then invent another example of this sort.
Mathematics
1 answer:
Paha777 [63]2 years ago
3 0

Answer:

Step-by-step explanation:

A triangle whose sides are 5-12-13 is a right angle triangle because the sides form a Pythagoras triple. This means that

Hypotenuse² = opposite side² + adjacent side²

If hypotenuse = 13,

Opposite side = 12, then we can determine one acute angle by applying the sine trigonometric ratio

Sin θ = opposite side/adjacent side

Sin θ = 12/13 = 0.923

θ = Sin^-1(0.923) = 67.4°

The other acute angle is

90 - 67.4 = 22.6°

For 9-12-15 triangle

Sin θ = 12/15 = 0.8

θ = Sin^-1(0.8) = 53.1°

The other acute angle is

90 - 53.1 = 36.9°

For 13- 14-15 triangle,

Sin θ = 14/15 = 0.933

θ = Sin^-1(0.933) = 68.9°

The other acute angle is

90 - 68.9 = 21.1°

Another example would be 3-4-5

Sin θ = 4/5 = 0.933

θ = Sin^-1(0.8) = 53.1°

The other acute angle is

90 - 53.1 = 36.9°

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First combine like terms:
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7 0
3 years ago
the half-life of isotope X is 2.0 years. How many years would it take for a 4.0mg sample of X to decay and have only 0.50 mg of
shepuryov [24]

After 2.0 years, the 4.0 mg sample decays to 2.0 mg.

After another 2.0 years (total 4.0 years), the 2.0 mg sample decays to 1.0 mg.

And after another 2.0 years (total 6.0 years), the 1.0 mg sample decays to 0.50 mg.

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2 years ago
Y = 2000-(1.05)
Aleonysh [2.5K]

Answer:

What is your initial value? 2000

Does this function represent exponential growth or exponential decay? Exponential growth

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7 0
2 years ago
Brooke and Lamont ran a half marathon. Brooke finished in 1 hour 40
Paha777 [63]

Answer:

B. Brook finished in 100 minutes, so Lamont was faster.

Step-by-step explanation:

1 hour = 60 Minutes

60 minutes + 40 minutes = 100 Minutes.

If you run and you have more minutes then someone else that means you ran for a longer time and your a little bit slower?

Comment down below, Did I help? ^w^

6 0
3 years ago
X
tresset_1 [31]

Step-by-step explanation:

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when x increases by 3 units, then also y increases by more or less 3 units.

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