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Leni [432]
3 years ago
6

The surface area of a cube is 1,014^2. Find the volume of the cube.

Mathematics
1 answer:
Marta_Voda [28]3 years ago
7 0
Let the length of one side of the cube be x.  Then the surface area of the cube is A = 6x^2 = 1014 cubic units.  We want the cube volume, so must first solve for x and then cube the result:
       
                               1014 cu. in.
x = square root of  ----------------- = sqrt(169) = 13
                                        6

The volume of this cube is thus (13 units)^3 = 4826809 cubic units.
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PLEASE HELP WITH THIS QUESTION
Burka [1]
One nice thing about this situation is that you’ve been given everything in the same base. To review a little on the laws of exponents, when you have two exponents with the same base being:

– Multiplied: Add their exponents
– Divided: Subtract their exponents

We can see that in both the numerator and denominator we have exponents *multiplied* together, and the product in the numerator is being *divided* by the product in the detonator, so that translates to *summing the exponents on the top and bottom and then finding their difference*. Let’s throw away the twos for a moment and just focus on the exponents. We have

[11/2 + (-7) + (-5)] - [3 + 1/2 + (-10)]

For convenience’s sake, I’m going to turn 11/2 into the mixed number 5 1/2. Summing the terms in the first brackets gives us

5 1/2 + (-7) + (-5) = - 1 1/2 + (-5) = -6 1/2

And summing the terms in the second:

3 + 1/2 + (-10) = 3 1/2 + (-10) = -6 1/2

Putting those both into our first question gives us -6 1/2 - (-6 1/2), which is 0, since any number minus itself gives us 0.

Now we can bring the 2 back into the mix. The 0 we found is the exponent the 2 is being raised to, so our answer is

2^0, which is just 1.
5 0
3 years ago
the london eye, a ferris wheel in England, has a diameter of 120 meters. This wheel completes a full rotation in 30 minutes at a
hram777 [196]
Given in the problem is the diameter of the Ferris Wheel.

Thus, we can compute for the Ferris Wheel Circumference. This is the circular distance a single capsule attached to the wheel needs to do a full circle to.

Using 2 Step, we find the rate of how fast the capsule needs to be moving to complete 1 full cycle in 30 minutes.
1. Formula for computing the circumference
C =  2 x π x R

where R = Diameter divided by 2

C = 2π(120/2 )
C = 120π

2. Compute the rate or speed of the capsule / coach.
Rate or Speed = Distance to cover / Time it takes to cover
R/S = 120π/30 = 4π m/min or 12.57737 meters / min 
4 0
3 years ago
Evaluate the following numerical expressions. 6 + 23 • 3 =
klasskru [66]

6 + 23(3)

6 + 69

75

Hope this helps! ;)

3 0
3 years ago
Read 2 more answers
-14, -6, 2, 0,...<br> Is it geometric
marysya [2.9K]

Answer:

No it is not.

Step-by-step explanation:

Reason.

For geometric: common ratio r should be equal

r = T2/T1 = T3/T2 but is not true here as -6/-14 is not equal to 2/-6

5 0
3 years ago
Read 2 more answers
The average of your first 6 tests is 82. If your test average after your seventh test is an 80.5, what did you score on the seve
mart [117]
So average is  of the first 6 tests is 82   well that means 

(test1 + test2+ test3+ test4 + test5+test6)/6 = 82

so now let do some cross multiplliying 

test1 + test2 + test3 + test 4 + test5 +test6 = 82*6

test1 + test2 + test3 + test 4 + test5 +test6  = 492

now lets see if we can find that 7th test score

(test1 + test2 + test3 + test4 + test5 +test6 + test7)/7 = 80.5

So look we found test1 + test2 + test3 + test4 + test5 +test6 to be 492 so lets substitute. 

(492 + test7 )/7 = 80.5

test7 = (80.5*7)-492 = 71.5 



7 0
3 years ago
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