Answer:
4/10
Step-by-step explanation:
it is equivalent because we multiplied both numerator and denominator by two and it keeps the ratio making it equivalent
Answer:
22.98 cm is the length of BC
Step-by-step explanation:
constructing A to B
Answer:
Step-by-step explanation:
The given triangle is a right triangle. This is indicated by the box around one of the angles, signifying that the angle measure is (9) degrees. By its definition, a right triangle is a triangle with a (90) degree angle, thus the given triangle is a right triangle. In this situation, one can use right-angle trigonometry to find the value of the unknown side. In essence, right triangle trigonometry provides one with a series of ratios to describe the relationship between the sides and angles of the right trinagle. These ratios are the following,
Keep in mind that the way a side is named is relative to the angle it is being described from. Thus, the (opposite) and (adjacent) sides acquire different names based on the angle relative to them. However, the (hypotenuse) is the hypotenuse no matter the angle, as the hypotenuse is the side opposite the right angle.
Solve for (y) first. One is given the angle measure and the measure of the side opposite the angle measure. One is asked to find the measure of the side adjacent to the angle. Use the ratio of tangent (tan) to achieve this.
Substitute,
Inverse operations,
Simplify,
Now solve for the hypotenuse (x). One could use the Pythagorean theorem to do this, but since this is trigonometry, one might as well use the trigonometric ratios. One is given an angle, as well as the side opposite the angle, one is asked to find the hypotenuse. To do this, one can use the trigonometric ratio of sine (sin).
Substitute,
Inverse operations,
Simplify,
For every 5 minutes of math, he has 20 minutes of reading.
If he did math for a total of 45 minutes, that means he did math and read for 9 days.
45/5=9.
And then, since he read for 20 minutes every single one of those night...
20(9)=x... x=180.
He read for 180 minutes.
The dividend growth rate is equal to the product of return on assets and return on equity option (D) is correct.
<h3>What is return on equity?</h3>
The return on equity ratio shows how much money a company makes on the money it invests in its shareholders. Investors frequently use this metric to assess current and potential business investments.
As we know, the dividend growth rate is the annualized percentage rate of increase in a stock's dividend over a given time period.
Dividend growth rate = (Return on assets)×(Return on equity)
Thus, the dividend growth rate is equal to the product of return on assets and return on equity option (D) is correct.
Learn more about the return on equity here:
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