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babunello [35]
3 years ago
5

Find the value of X. Round to the nearest tenth as needed.​

Mathematics
2 answers:
HACTEHA [7]3 years ago
8 0
The correct answer is 10.6
yanalaym [24]3 years ago
6 0

Answer:

the value of x is 10.6

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Find the sum of the first 12 terms of the sequence. Show all work for full credit.
ehidna [41]
The difference between each term is -5, i.e. we know one of our terms is -5n. Now we just need to adjust it to get u1 correct. At n=1, -5n would give us -5 therefore we need to add 6 to get to 1. This gives us our equation:

\boxed{u_n=-5n+6}

Now we can work out the sum easily (we can use an equation using the above but personally I prefer the other one as it's less prone to mistakes):
S_n= \frac{n}{2}(2u_1+(n-1)d)
We know n is 12, and we know u1 is 1, and we also know the difference is -5.

Substituting this in:
S_{12}= \frac{12}{2}(2*1+(12-1)*-5)=6(2-55)=6*-53 \\ \boxed{S_{12}=-318}
5 0
3 years ago
Eugene knows the circumference of a circle is 125.6 meters. Does he have enough information to find the area?
lorasvet [3.4K]

Answer:

Yes, because he could divide by 3.14 to find the diameter and then divide that result by 2 to find the radius. Once he has the radius, he can use the formula.

5 0
3 years ago
Read 2 more answers
A cruise line ship left Port A and traveled 90 miles due west and then 400 miles due north. At this point, the ship docked at Po
GrogVix [38]

Answer:

410 Miles

Step-by-step explanation:

Please refer to the photo attached. (Apologies for the legitimately terrible drawing)

The Shortest Distance between any 2 points is the distance thats connects the 2 points directly.

In this case, we can use Pythgoras's Theorem to find AB which is the shortest distance between A and B.

By Pythagoras's Theorem,

{c}^{2}  =  {a}^{2}  +  {b}^{2}  \\  {ab}^{2}  =  {ac}^{2}  +  {cb}^{2}  \\  {ab}^{2}  =  {90}^{2}  +  {400}^{2}  \\ab =  \sqrt{ {90}^{2} +  {400}^{2}  }  \\  = 410 \: miles

4 0
2 years ago
10000010101111111+100010001000100100100101​
Kruka [31]

Answer:

the answer is

1.0001001e+23

Step-by-step explanation:

7 0
3 years ago
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What is the result of dividing the distance around a circle by the distance across the same circle? What number can you use as a
tekilochka [14]

Answer: The result of the division is the number pi.

And the approximation of pi is: pi = 3.14

Step-by-step explanation:

The distance around a circle is called the perimeter of the circle.

The distance across a circle (This is a line that starts on one point of the circle, go through the center of the circle, and end in the next time it intersects the circle) is called the diameter of the circle.

The quotient between these two quantities is maybe one of the most famous numbers in the world, is the number pi, written as:

π = 3.14159265358979...

Is an irrational number, which means that the decimals keep going infinitely.

Then we can conclude that:

"The result of dividing the perimeter by the diameter, is equal to the number pi = π = 3.14159265358979..."

Because this is an irrational number and is actually impossible to write it, we usually use pi = 3.14 to aproximate it.

6 0
3 years ago
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