Answer:
A) 18°
Step-by-step explanation:
To find the measure of the indicated angle, we can use trigonometric ratios.
Looking at the triangle, we can see that we are given the lengths of the two legs of the triangle, but not the hypotenuse. Since we are not given the hypotenuse, the sine and cosine ratios would not work since both of them require the length of the hypotenuse. We can use the tangent ratio, since it only requires the lengths of the two legs. Remember:
From looking at the image, we can see that the length of the side opposite to the angle is 3, and the length of the side adjacent to the angle is 9. Thus, we can use 3 as out opposite and 9 as out adjacent:
Now we solve for ?. Lets take the inverse tan of both sides to get rid of the tan on the left side:
And we get:
? ≈ 18.4349488° ≈ 18°
So the answer would be 18°, or A.
I hope you find my answer to be helpful. Happy studying.
Using proportions, it is found that the correct time when it reads 10:30pm is of 9:40 pm.
<h3>What is a proportion?</h3>
A proportion is a fraction of total amount, and the measures are related using a rule of three.
In this problem, when 56 minutes have passed, the clock indicates that 60 minutes have passed. Hence, what is the time passed when the clock indicates that 12 hours and 30 minutes, that is, 60 x 12 + 30 = 750 minutes have passed?
Hence, the <em>rule of three</em> is:
56 minutes - 60 minutes
x minutes - 750 minutes
Applying cross multiplication:
700 minutes is 660/60 = 11 hours + 40 minutes after 10:00 am, hence the correct time is of 9:40 pm.
You can learn more about proportions at brainly.com/question/24372153
Answer:
968π ≈ 3041 . . . cubic units
Step-by-step explanation:
The usual formula for the volume of a cylinder is ...
V = πr²h
For your given dimensions, the volume is found by putting the values into the formula and doing the arithmetic.
V = π(11²)(8) = 968π . . . . cubic units
V ≈ 3041 cubic units
