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rodikova [14]
3 years ago
15

Write all the prime factors of 8595You will 25 extra points if you follow me.​

Mathematics
1 answer:
EleoNora [17]3 years ago
7 0
To work out a prime factor we must divide the number by the smallest possible prime number:

8595 ÷ 3 = 2865

Then divide the new number by the smallest possible prime number:

2865 ÷ 3 = 955

And again until we can’t any further:

955 ÷ 5 = 191


191 ÷ 191 = 1

Prime factors of 8595 are:
3, 3, 5, 191.
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Answer:

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Step-by-step explanation:

Given

\sin(105^o)

Required

Solve

Using sine rule, we have:

\sin(A + B) = \sin(A)\cos(B) + \sin(B)\cos(A)

This gives:

\sin(105^o) = \sin(60 + 45)

So, we have:

\sin(60 + 45) = \sin(60)\cos(45) + \sin(45)\cos(60)

In radical forms, we have:

\sin(60 + 45) = \frac{\sqrt 3}{2} * \frac{\sqrt 2}{2} + \frac{\sqrt 2}{2} * \frac{1}{2}

\sin(60 + 45) = \frac{\sqrt 6}{4} + \frac{\sqrt 2}{4}

Take LCM

\sin(60 + 45) = \frac{\sqrt 6 + \sqrt 2}{4}

Rewrite as:

\sin(60 + 45) = \frac{\sqrt 2 + \sqrt 6}{4}

Hence:

\sin(105) = \frac{\sqrt 2 + \sqrt 6}{4}

3 0
2 years ago
Mary spent a total of $352.24 for a party. She spent $200.29 on food, plus an additional $30.39 for each hour of the party. How
FinnZ [79.3K]

The answer should be 5 hours.

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The perimeter of an equilateral triangle is 63 inches. If the length of each side is (4x-3), find the value of x. Equilateral me
vladimir2022 [97]

Answer:

Step-by-step explanation:

3*(4x - 3) = 63                         Divide both sides by 3

4x - 3 = 63/3

4x - 3 = 21                                Add 3 to both sides

4x = 21 + 3

4x = 24                                    Divide by 4 on both sides

4x/4 = 24/4

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Note: The perimeter is the sum of all three sides. One side is 4x - 3 All 3 sides must be 3*(4x - 3)

3 0
2 years ago
find the volume of the smallest right circular cylinder that will hold a sphere whose radius is 4 meters. find the volune of the
Sonja [21]
\bf \textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}\quad 
\begin{cases}
r=radius\\
------\\
r=4
\end{cases}\implies V=\cfrac{4\pi 4^3}{3}\implies V=\cfrac{256\pi }{3}\\\\
-------------------------------\\\\
\cfrac{sphere}{cylinder}\qquad \cfrac{2}{3}\impliedby ratio~thus\implies \cfrac{2}{3}=\cfrac{\stackrel{sphere}{v}}{\stackrel{cylinder}{v}}
\implies 
\cfrac{2}{3}=\cfrac{\frac{256\pi }{3}}{v}
\\\\\\
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8 0
3 years ago
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Minchanka [31]

Answer:

$63

Step-by-step explanation:

100-30=70%

0.7*90=63

3 0
3 years ago
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