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3 years ago

What is the area of triangle ABC? Round to the nearest tenth of a square unit. square units

Mathematics

2 answers:

zysi [14]3 years ago

8 0

Answer: A = 61.8 square units

Step-by-step explanation:

Hi, we have to apply the Trigonometric area formula:

A = 1/2 ab sin (c)

Where a and b are the sides ( in this case we use the sides that are given to us, which are 10 and 13 ) and c is the included angle.

So, replacing the formula with the given values:

A = 1/2 (10) (13) sin 72°

A = 61.8 square units

Feel free to ask for more if it´s necessary or if you did not understand something.

Akimi4 [234]3 years ago

6 0

Use the formula.

Area = (1/2)*13*10*sin(72°) ≈ 61.8 units².

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The value of a certain car decreases by 16% each year. What is the 1⁄2-life of the car?

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The half life of the car is 3.98 years.

Step-by-step explanation:

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3 years ago

Suppose that your business is operating at the 4.5-Sigma quality level. If projects have an average improvement rate of 50% annu

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Answer:

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Step-by-step explanation:

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P(z ≤ -6) ≈ 9.86588×10^-10

and

P(z ≤ -4.5) ≈ 3.39767×10^-6

the ratio of these error rates is about 0.000290372. We're multiplying the error rate by 0.5 each year, so we want to find the power of 0.50 that gives this value:

0.50^t = 0.000290372

t·log(0.50) = log(0.00290372) . . . . take logarithms

t = log(0.000290372)/log(0.50) ≈ -3.537045/-0.301030

t ≈ 11.75

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A 3.4 ppm error rate is customarily associated with "Six Sigma" quality. It assumes that the process may have an offset from the mean of up to 1.5 sigma, so the "six sigma" error rate is P(z ≤ (1.5 -6)) = P(z ≤ -4.5) ≈ 3.4·10^-6.

Using that same criteria for the "4.5-Sigma" quality level, we find that error rate to be P(z ≤ (1.5 -4.5)) = P(z ≤ -3) ≈ 1.35·10^-3.

Then the improvement ratio needs to be only 0.00251699, and it will take only about ...

t ≈ log(0.00251699)/log(0.5) ≈ 8.6 . . . . years

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