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3 years ago

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

1 answer:

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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Anuta_ua [19.1K]

Answer:

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

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:

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

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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

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3 years ago

Read 2 more answers

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)

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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]

$\bf \textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}\quad 
\begin{cases}
r=radius\\
------\\
r=4
\end{cases}\implies V=\cfrac{4\pi 4^3}{3}\implies V=\cfrac{256\pi }{3}\\\\
-------------------------------\\\\
\cfrac{sphere}{cylinder}\qquad \cfrac{2}{3}\impliedby ratio~thus\implies \cfrac{2}{3}=\cfrac{\stackrel{sphere}{v}}{\stackrel{cylinder}{v}}
\implies 
\cfrac{2}{3}=\cfrac{\frac{256\pi }{3}}{v}
\\\\\\
v=\cfrac{3\cdot \frac{256\pi }{3}}{2}\implies v=\cfrac{256\pi }{2}\implies v=128\pi$

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3 years ago

an item is regularly priced at $90 . alan bought it on sale for 30% off the regular price. how much did alan pay?

Minchanka [31]

Answer:

$63

Step-by-step explanation:

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3 years ago

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

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