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mart [117]
3 years ago
13

Factor this expression completely. y3 - 27

Mathematics
1 answer:
posledela3 years ago
4 0

Answer:

(y - 3)(y² + 3y + 9)

Step-by-step explanation:

y³ - 27 = y³ - 3³ is the difference of two cubes.  

Using the "difference of two cubes" formula, we get:

(y - 3)(y² + 3y + 9)

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In many cases the Law of Sines works perfectly well and returns the correct missing values in a non-right triangle. However, in
Agata [3.3K]

\frac{\sin B}{b}=\frac{\sin A}{a} \\ \\ \sin B=\frac{b \sin A}{a} \\ \\ \sin B=\frac{13 \sin 29^{\circ}}{7.2} \\ \\ \boxed{m\angle B =\arcsin \left(\frac{65\sin 29^{\circ}{36} \right), 180^{\circ}-\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right)}

Considering the diagram. \angle B is shown to be acute, so \boxed{m\angle B=\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right)}.

Angles in a triangle add to 180°, so m\angle C= 151^{\circ}-\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right).

Using the law of cosines,

AB=\sqrt{13^2 + 7.2^2-2(13)(7.2)\cos \left(\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right) \right)} \\ \\ \boxed{AB=\sqrt{220.84-187.2\cos \left(\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right) \right)}}

3 0
1 year ago
bejamin writes an expresssion for the sum of 1 cubed 2 cubed and 3 cubed what is the value of the expresssion​
sashaice [31]

Answer:

36

Step-by-step explanation:

1^3 + 2^3 + 3^3 = 1 + 8 + 27 = 36

5 0
3 years ago
What is the possibility of tossing at least 1 tail if you toss 3 coins at once?
serious [3.7K]

Answer:

1/3

Step-by-step explanation:

A tail is on one side of the coin, and there are three, so 1/3

5 0
4 years ago
What is the function that I need to write
mixer [17]

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f(x)=2*(1/2)^x -1

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8 0
3 years ago
In this figure, AB¯¯¯¯¯∥CD¯¯¯¯¯ and m∠6=75°.
Anastaziya [24]

Answer is 105 degrees.

Explanation:

Given two parallel lines AB and CD and a transversal cutting the two lines.

We know that when a transversal cuts two parallel line,

i) corresponding angles would be equal

ii) Interior angles total to 180

iii) alternate angles are equal.

In the picture given we have corresponding angles as

(2,6) .  Hence angle 2 = angle 6.

Angle 6 = 75 (given)

Hence angle 2 =75.

Angles 1 and 2 are supplementary because they form a linear pair.

Hence angle 1 = 180-75

Angle 1 =105


5 0
3 years ago
Read 2 more answers
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