Answer:
There are 495 different ways to choose 4 pizza toppings from 12.
Step-by-step explanation:
12!/8!4! = 12*11*10*9/(4*3*2) = 11*9*5 = 495
Answer:
There are 3 green marbles in the box.
Step-by-step explanation:
15% = 0.15
To figure out how much 15% of 21 is, you must multipl the decimal form of the percentage by the whole number. This will give you how much of that number that percentage is.
0.15 * 21 = 3.15
But you can't have 0.15 of a marble, so you must round as well.
3 green marbles in the box.
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:
brainly.com/question/11967894
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Answer: 73
Step-by-step explanation:
Multiply using the FOIL method, then combine the real and imaginary parts of the expression.
73