$\underline{\ \ \ \ \ \ 123}\\1\ \ \ |15129\\\underline{\ \ \ \ \|1}\\22\ |\ 51\\\underline{\ \ \ \ |\ 44}\\243|\ \ 729\\\underline{\ \ \ \ \ |\ 729}\\.\qquad\ \ \ 0$

$\sqrt{15129}=123$

$\begin{array}{c|c}15129&3\\5043&3\\1681&41\\41&41\\1\end{array}15129=3\cdot3\cdot41\cdot41=3^2\cdot41^2\\\\\sqrt{15129}=\sqrt{3^2\cdot41^2}=\sqrt3^2}\cdot\sqrt{41^2}=3\cdot41=123$

$Used:\\\\\sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}\\\\\sqrt{a^2}=a\ for\ a\geq0$

7 0

1 year ago

A circular arena is lit by 5 lights equally spaced around the perimeter of the arena. What is the measure of each angle formed b

Artyom0805 [142]

Answer:

D. 108 degrees

Step-by-step explanation:

use the formula (n-2)180/n, n being number of sides.

In this case, the number of sides is 5.

plug it into the formula and solve:

(5-2)180/5

(3)180/5

540/5

108 degrees.

6 0

2 years ago

Read 2 more answers

Find pb, if pj=14 and jb= 28

anyanavicka [17]

Answer:

Step-by-step explanation:

Based on the information given, point j is the midpoint, as it is shared by both line segments. Set the equation:

pb = pj + jb

Note:

pj = 14

jb = 28

Plug in the corresponding numbers to the corresponding variables:

pb = pj + jb

pb = 14 + 28

pb = 42

pb = 42 is your answer.

3 0

1 year ago

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If 4/5 part of a pole is in mud,3/10 part is in water and 9m is in air,find the total length of pole?​

If 4/5 part of a pole is in mud,3/10 part is in water and 9m is in air,find the total length of pole?