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Keith_Richards [23]
2 years ago
8

What is the exact value of the expression the square root of 486. − the square root of 24. + the square root of 6.? Simplify if

possible.
Mathematics
2 answers:
Rina8888 [55]2 years ago
8 0
19.5959179422
or if u round to the nearest whole #--> 20
morpeh [17]2 years ago
8 0

Answer:

plus or minus 9√6

Step-by-step explanation:

Let's find the square root of 486.  The best approach is to find factors 486 that happen to be perfect squares.

Note that 486 is evenly divisible by 6; the quotient is 81.  81 is a perfect square:  9^2; 6 is not a perfect square.

Thus, after taking the sqrt of both sides of 486 = 81*6, we get √486 =  plus or minus √81√6, or .plus or minus 9√6

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The speed limit is 25 miles per hour, but it seems that many of the cars are going faster. The city places 2 counter strips 360
klio [65]
You figure out how long it would take a car traveling at 25 mph
to cover 360 ft.  Any driver who does it in less time is speeding.

           (25 mi/hr) · (5,280 ft/mile) · (1 hr / 3,600 sec)

       =    (25 · 5280 / 3600)  ft/sec  =  (36 and 2/3) feet per second.

To cover 360 ft at 25 mph, it would take

                360 ft / (36 and 2/3 ft/sec)  =   9.82 seconds .

Anybody who covers the 360 feet in less than 9.82 seconds
is moving faster than 25 mph.
_________________________________

If you're interested, here's how to do it in the other direction:

Let's say a car covers the 360 feet in ' S ' seconds.
What's the speed of the car ?

           (360 ft / S sec) · (1 mile / 5280 feet) · (3600 sec/hour)

       =    (360 · 3600) / (S · 5280)  mile/hour

       =        245.5 / S    miles per hour .

The teacher timed one car crossing both strips in 7.0 seconds.
How fast was that car traveling ?

                   245.5 / 7.0  =  35.1 miles per hour


Another teacher timed another car that took 9.82 seconds to cross
both strips.  How fast was this car traveling ?

                        245.5 / 9.82  =  25 miles per hour
7 0
3 years ago
Simplify <br> (4x^-2y^3 ÷ xy^-4)^-2
Artyom0805 [142]
<span><span>(<span><span>‌<span><span><span>4<span>x<span>−2</span></span></span><span>y^3</span></span>x</span></span>‌<span>y<span>−4</span></span></span>)</span><span>−2</span></span><span>
=<span><span>‌<span><span><span>x6</span><span>y^8/</span></span><span>16<span>y^6</span></span></span></span>‌</span></span><span>
=<span>‌<span><span><span>x^6</span><span>y^2/</span></span><span>16

Hope this helps:)
</span></span></span></span>
6 0
3 years ago
Read 2 more answers
Find the value of the remaining variable in the formula. Use 3.14 as an approximation for a (pi).
wel

Answer:

P = 12

Step-by-step explanation:

Given formula for the perimeter 'P' of a rectangle is,

P = 2L + 2W

If the values of L and W are,

L = 4 and W = 2

Perimeter of the rectangle = 2(L + W)

                                            = 2(4 + 2)

                                            = 2 × 6

                                            = 12 units

Therefore, value of remaining variable 'Perimeter' = 12 units

(There is no use of 'pi' in calculating the perimeter of a rectangle).

5 0
3 years ago
Write down the second term in the sequence given by: T(n) = n2 - 5
enot [183]
There are two terms n2 and -5. n2 is the first term and -5 is the second term
8 0
3 years ago
Is 67.2 the sam as 67.20
mestny [16]

Answer:

yes

Step-by-step explanation:

67.2 = 67.20 = 67.200 = 67.200...

8 0
3 years ago
Read 2 more answers
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