Answer:
Sample space= 1, 2, 3, 4, 5, 6
Outcomes= 2, 4, 6
Probability= Number of outcomes/ total number of outcomes
= 3/6 times 2( as 2 dices are rolled)
=6/12
=1/2
Therefore, the probability of getting 2 even number is 1/2
We have to prove that the tangent is an odd function.
If the tangent is an odd function, the following condition should be satisfied:
From the figure we can see that the tangent can be expressed as:
We can start then from tan(t) and will try to arrive to -tan(-t):
We have arrived to the condition for odd functions, so we have just proved that the tangent function is an odd function.
ANSWER: x = 1/3
WORKING OUT:
2 times x times 3 = 2
6 times x = 2
x = 1/3
Combine the terms by multiplying into a single fraction.
Find the common denominator.
Combine fractions with the lowest common denominator.
Multiply the numbers.
Combine the multiplied terms into a single fraction
Find the common denominator.
Combine fractions with the lowest common denominator.
Multiply the numbers.
Eliminate the denominators of the fractions.
Cancel the multiplied terms that are in the denominator.
To distribute.
Add 28 to both sides.
Simplify
Subtract 3x from both sides.
Simplify
Divide both sides by the same factor.
Simplify
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<h3>Verification</h3>
Let x=12.
Checked ✅
<h2>
Answer:</h2>
A) A net is a two-dimensional pattern for a solid.
<h2>
Step-by-step explanation:</h2>
In fact, a net is a two-dimensional pattern for a solid. But what is a solid? They are three-dimensional shapes. Prisms, cubes, pyramids, among others, are examples of solids. For example, the first figure below is a net because is a two dimensional patter for a pyramid which is shown in the second figure. As you can see, the first figure is a two-dimensional patter for this three-dimensional shape. Hence, by unfolding the pyramid we get the net or, in other word, by folding the net we get the pyramid.