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kompoz [17]
4 years ago
9

Simplify square root of 5 open parentheses 8 plus 3 square root of 6 close parentheses.

Mathematics
2 answers:
Mice21 [21]4 years ago
6 0

Answer: Simplified form would be

8\sqrt{5}+3\sqrt{30}

Step-by-step explanation:

Since we have given that

\sqrt{5}(8+3\sqrt{6})

We just need to simplify the above expression:

\sqrt{5}(8+3\sqrt{6})\\\\=8\sqrt{5}+3\sqrt{6}\times \sqrt{5}\\\\=8\sqrt{5}+3\sqrt{30}

Hence, simplified form would be

8\sqrt{5}+3\sqrt{30}

frozen [14]4 years ago
4 0
\sqrt{5} (8+3 \sqrt{6} )\\ 8 \sqrt{5} +3 \sqrt{6}  \sqrt{5} \\ 8 \sqrt{5} +3 \sqrt{30}
As far as I can tell, that is as far as the expression can be simplified :)
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Minato drove 390 miles. Part of the drive was along local roads, where his average speed was 20 mph, and the rest was along a hi
pashok25 [27]

Answer:

45 miles.

Step-by-step explanation:

Given that the:

Total distance covered = 390 miles

Total time = 8 hours

Let the distance covered along the local way = L

And the distance covered along the highway = H

Along with local way,

Speed = distance/ time

20 = L / T

T = L /20 .... (1)

Along the highway,

Distance covered H = 390 - L

Let the time = t

Speed = distance/time

60 = (390 - L)/t

t = ( 390 - L)/60

But total time = T + t

That is

8 = L/20 + (390 - L)/60

The LCM at right hand side will be 60

8 = ( 3L + 390 - L )/60

Cross multiply

480 = 2L + 390

Collect the like terms

2L = 480 - 390

2L = 90

L = 90/2

L = 45 miles.

Therefore, the distance Minato drive along local roads is 45 miles

4 0
4 years ago
Can someone please help me with this algebra
kykrilka [37]

Answer:

B

Step-by-step explanation:

Because i did this problem

8 0
4 years ago
In a right triangle, the measures of the two smaller angles are (3X+6) and (2X-1) . Find the measure of the smallest angle in th
UkoKoshka [18]
In a right triangle the biggest angle is 90°.

Then the two smaller angles sum up 180° - 90° = 90 °.

Now you can use this equation: 3x + 6 + 2x - 1 = 90 and solve for x:

5 x + 5 = 90
5x = 85
x = 85/5
x = 17

Then, the smallest angle is 2(17) - 1 = 33°
7 0
3 years ago
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3. Determine which best describes the shape shown. Triangular Pyramid Triangular Prism Cylinder Cone
coldgirl [10]

A triangular pyramid is a figure made only with triangles, and it has 4 triangles.

A triangular prism has a triangular base and rectangles as lateral faces.

A cylinder has a circle as its base and a curved rectangle as the lateral face.

A cone has a c

8 0
1 year ago
Find the 96th term of the arithmetic sequence –16, -28, -40, ...
Elanso [62]

Answer:

-1152

Step-by-step explanation:

F(1)=-16

F(2)=-28

F(3)=-40

Notice the sequence is decreasing by -12 for every increase in x

You can conclude the function for this sequence is going to be

F(x)=-12x

Plug 96 as X.

F(96)=-1152

7 0
3 years ago
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