Find the lengths of AC. Round your answer to the nearest whole number. C a 22.69 B 13 cm A

Mathematics

1 answer:

blondinia [14]2 years ago

5 0

The triangle ABC is a right triangle

The length of AC is 12.00 cm

<h3>How to determine the length of AC</h3>

From the figure, we have the following parameters:

Length AB = 13 cm

Angle A = 22.6 degrees

Represent the length AC with b.

So, we have the following cosine ratio

$\cos(A) = \frac{b}{AB}$

Substitute known values

$\cos(22.6) = \frac{b}{13}$

Make b the subject

$b = 13 * \cos(22.6)$

Evaluate the product

$b = 12.00$

Hence, the length of AC is 12.00 cm

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James is kayaking. He can row 3 mph in still water. If he can travel 6 miles downstream in the same amount of time that he can t

nekit [7.7K]

Answer: the speed of the current is 0.6 mph

Step-by-step explanation:

Let x represent the speed of the current.

James is kayaking. He can row 3 mph in still water. If he can travel 6 miles downstream. Assuming he went with the current, it means that his total speed while travelling downstream is (3 + x)

Time = distance/speed

Time taken to travel downstream is

6/(3 + x)

In the same amount of time, he can travel 4 miles upstream. Assuming he went against the current, it means that his total speed while travelling downstream is (3 - x). Time taken to travel upstream is

4/(3 - x)

Since the time is the same, then

6/(3 + x) = 4/(3 - x)

Cross multiplying, it becomes

6(3 - x) = 4(3 + x)

18 - 6x = 12 + 4x

4x + 6x = 18 - 12

10x = 6

x = 6/10

x = 0.6 mph

4 0

3 years ago