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2 years ago

Given the endpoint A(1, 3) and the midpoint C(6, 2), find the other endpoint B(x, y).

1 answer:

6 0

Right away we know we don't have fractions; the midpoint is the average of the coordinates, so if it and one endpoint are integers so is the other endpoint.

We can do a kind of point arithmetic:

C = (A+B)/2

2C = A+B

B = 2C - A

B = 2(6,1) - (1,3) = (12,2)-(1,3)=(11,-1)

Answer: That's none of the above, but a typo away from the first choice.

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Solve the triangle for x.

Damm [24]

Answer:

d) 86.2 degrees

x = 86.20°

Attached is the image used in the question;

Step-by-step explanation:

Applying the law of cosine;

Cos C = (a² + b² - c²)/2ab

Where;

Angle C = x

c = 13 ft

b = 9ft

a = 10ft

Substituting into the equation;

Cos x = (10² + 9² - 13²)/(2×10×9)

Cos x = 0.0667

x = cos⁻¹(0.0667)

x = 86.20°

4 0

3 years ago

Convert each of the following estimates of useful life to a straight-line depreciation rate, stated as a percentage: (a) 10 year

Rzqust [24]

Answer:

a.10 years 1 / 10 x 100 10% per year

b. 8 years 1 / 8 x 100 12.5% per year

c. 25 years 1 / 25 x 100 4% per year

d. 40 years 1 / 40 x 100 2.5% per year

e. 5 years 1 / 5 x 100 20% per year

f. 4 years 1 / 4 x 100 25% per year

g. 20 years 1 / 20 x 100 5% per year

Step-by-step explanation:

Under straight line method of depreciation, equal amount of the depreciation is reduced throughout the useful life of the asset. Using the following formula:

<u>Straight line depreciation rate = 1 / Useful Life x 100 </u>

So: