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Bezzdna [24]
3 years ago
9

What is the 10th term in this geometric sequence?2,4, 8,16,.....​

Mathematics
1 answer:
Alisiya [41]3 years ago
7 0

Answer:

1024

Step-by-step explanation:

you can plug 10 to the explicit formula. f(n)= a times r to the power of n minus 1. A is the first term, r is the common ratio and n is the nth term. 2 times 2 to the power of 10 minus 1. 2 times 2 to the power of 9 is 1024. Hope this helps!

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Help plsss 20+ pointsss
Lena [83]

Answer:

3

Step-by-step explanation:

area of square=l*b so

81=3x multiply 3x

81=9x^2

81/9=x^2

9=x^2

\sqrt9=x

3=x

4 0
3 years ago
The measures of two complementary angles have a ratio of 3 : 2. What is the measure of the larger angle?
Mkey [24]

<em>Question:</em>

The measures of two complementary angles have a ratio of 3 : 2. What is the measure of the larger angle?

—————

<em>Solution:</em>

Call those two angles  x  and  y, where  x  is the larger one.

If they are complementary, then their sum equals  90°:

x + y = 90°      (i)


Also, the ratio between  x  and  y  is  3 : 2, so

  x           3
——  =  ——
  y           2


Product of the extremes = product of the means:

2x = 3y

2x – 3y = 0        (ii)


Now, just solve this system of equations:

  x  +  y = 90°         (i)
2x – 3y =   0          (ii)


Solve it with elimination. Since you want to know the value of the larger angle, which is  x, then eliminate the variable  y  by doing the following:

Multiply the equation  (i)  by  3,

3x + 3y = 270°        (iii)
2x – 3y =     0          (ii)


then add both equations, so you cancel out the variable  y:

3x + 2x + 3y – 3y = 270° + 0

3x + 2x = 270°

5x = 270°

         270°
x  =  ———
           5

x = 54°    <———  this is the measure of the larger angle.


I hope this helps. =)


Tags:  <span><em>system of linear equations elimination method solve complementary angles algebra geometry</em>
</span>
3 0
3 years ago
3/4 divided by 4/5 is 15/16 is it in its lowest terms​
Softa [21]

Answer:

yes it cant be siplified anymore

Step-by-step explanation:

8 0
3 years ago
James says 5/5 is greater than 9/10 is james correct explain
kirill [66]

Answer:

James is correct because 5/5 is 1 while 9/10 is 0.9. 1 is greater than 0.9 by 0.1 and that's why James is correct.

8 0
2 years ago
Read 2 more answers
Write the standard equation of a circle with a center (2,-8) and radius 9
Anna11 [10]

The standard equation of a circle:

(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

We have:

(2, -8) → h = 2, k = -8

r = 9

Substitute:

(x-2)^2+(y-(-8))^2=9^2\\\\(x-2)^2+(y+8)^2=81

6 0
3 years ago
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