For this case the first thing you should do is find the volume of the sphere.
We have then:
V = (4/3) * (pi) * (r ^ 3)
Where,
r: sphere's radius
Substituting values we have:
V = (4/3) * (3.14) * ((3/2) ^ 3)
V = 14.13 in ^ 3
Answer:
The amount of glitter required to completely fill one glass ornament is:
V = 14.13 in ^ 3
Answer:
Step-by-step explanation:
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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:
Step-by-step explanation:
3x +1 = 2x +7 subtract 1 from both sides ( first)
3x +1 -1 = 2x + 7 -1
3x = 2x + 6 subtract 2x brom both sides (second)
3x -2x = 2x -2x +6
5x = 6