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The number of goldfish in the pet store is equal to 60 fishes.
- Let the goldfish be G.
- Let the betta fish be B.
<u>Given the following data:</u>
- Total number of fishes = 150 fishes.
- Ratio of G to B = 2:3
- Total ratio= 2 + 3 = 5
To calculate the number of goldfish that the pet store have:
<h3>What is ratio?</h3>Ratio can be defined as an expression that is used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.
Mathematically, the number of goldfish in the pet store is given by this expression:
G = 60 fishes.
Read more on ratio here: brainly.com/question/13513438
The sin A is equal to 12/13 and the tan (A) is equal to 12/5.
<h3>RIGHT TRIANGLE</h3>A triangle is classified as a right triangle when it presents one of your angles equal to 90º. The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.
The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.
The Pythagorean Theorem says: . And the main trigonometric ratios are:
The question gives cos (A)=5/13. If cos (A) is represented by the quotient between the adjacent leg and the hypotenuse, you have:
adjacent leg=5
hypotenuse=13
Therefore, you can find the opposite leg of A from Pythagorean Theorem, see below.
Thus, the opposite leg is equal to 12. Now, you can find sin (A) since:
Finally, you can find the tan (A) since:
Learn more about trigonometric ratios here:
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