The measure of the angle x is 53.13 degrees after applying the sin ratio.
<h3>What is the trigonometric ratio?</h3>
The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
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Applying sin ratio:
sinx = 12/15
sinx = 0.8
x = 53.13 degrees
Thus, the measure of the angle x is 53.13 degrees after applying the sin ratio.
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The answer is B.
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The triangles on the two ends are congruent. So, to find the prism area, it is enough to take the area of one of the triangles and multiply it by the prism depth, which is 20 units.
Use the Pythagorean theorem to find the height of the triangle. 5^2 - 3^2 = 4^2, so the height is 4. Multiply half times height times base: 1/2 x 4 x 3 = 6. Multiply that by the depth, 20. 6x20=120. The answer is in cubic units, or units^3
One eighth smaller than one fourth.
Answer:
Step-by-step explanation:
Mean:
The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values. The formula for the mean of a population is
The formula for the mean of a sample is
Both of these formulas use the same mathematical process: find the sum of the data values and divide by the total. For the data values entered above, the solution is: