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Murljashka [212]
1 year ago
15

Simplify the radical expression

Mathematics
2 answers:
eimsori [14]1 year ago
6 0
5(45b)^1/2 times 6(48b)^1/2
LenKa [72]1 year ago
3 0
<span>To multiply two radicals together, we can simply multiply both the values inside the radicals together and put that in a radical.
So for 5*sqrt(45b) * 6*sqrt(48b), we get 30*sqrt(45b*48b) = 30*sqrt(2160b^2).   This value can be simplified further by taking out b^2 and 12^2 from the radical giving us the answer 360b*sqrt(15).</span>
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Two quadrilaterals are congruent. One has vertices P, N, O, and M, and the other has vertices S, T, V, and U. These correspondin
Bogdan [553]

Answer: NPOM \cong VUTS and OPNM \cong TVUS will be correct.

Explanation:

Given: two quadrilaterals having verticals P, N, O,M and S,T,V,U are congruent,  where, OM is congruent or equal to TS and \angle P\cong \angle U.

in quadrilaterals NPOM and  VUTS-

since, the condition \angle P = \angle U

and, side UV=side  OM   follow for the above quadrilateral. (According to the figure)

then we can say according to the property of quadrilateral, their corresponding sides must be congruent. so they are congruent.

similarly, these two conditions also follow in the case of OPNM \cong TVUS

we can understand it by making the figures.


6 0
1 year ago
Read 2 more answers
The angle measures associated with which set of ordered pairs share the same reference angle
Trava [24]

Answer:

Option 3 is right.

Step-by-step explanation:

Reference angle of x is obtained by either 180-x, 180+x. or 360-x depending on the posiiton of terminal whether II quadrant or iv quadrant, or iii quadrant, etc.

In whatever way we find reference angles,

cos will remain cos only and sin will remain sin only there may be only changes in sign.

Of all the ordered pairs given, we find that I, II, and Iv there is a switch over form cos to sine and sin to cos.  Hence these options cannot be for reference angles.

III option is (-\frac{1}{2} ,\frac{-\sqrt{3} }{2} )(\frac{1}{2} ,\frac{\sqrt{3} }{2} )

show that both sign and cos changed sign.  This is possible only in III quadrant.

ie reference angle of orignal angle t = 180+t

SO this option is right.

7 0
1 year ago
Read 2 more answers
Find the distance between the points p1 (2,-5) And p2 (-4,3)
jekas [21]
(6,8) i think that is the correct answer. 
4 0
2 years ago
Read 2 more answers
Chris is standing on a cliff that is 3 feet above sea level. He dives into the water and descends to a depth 10 feet below the s
grin007 [14]
The answer is 7 I’m pretty sure
6 0
2 years ago
Say a certain service industry has 78.9 thousand jobs in 2003, but expects to increase at an average annual rate of 2.65 thousan
Alex_Xolod [135]

Answer:

33%

Step-by-step explanation:

In 2003, there were 78.9 thousand jobs in the industry and it increases annually by 2.65 thousand jobs from 2003 to 2013.

Hence, from 2003 to 2013, i.e. 10 years the jobs have increased by (2.65×10) = 26.5 thousand.

Therefore, the percent increase in jobs in the industry from 2003 to 2013 is given by \frac{26.5*100}{78.9} = 33.6 % ≈ 33%. (Answer)

4 0
1 year ago
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