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cluponka [151]
3 years ago
6

What is the last number in the number sequence given below? 10 : 10 : 20 : 45 : 110 : 300 : ?

Mathematics
2 answers:
cupoosta [38]3 years ago
8 0
Hello,


10 times 0.5 plus 5 equals 10
10 times 1 plus 10 equals 20 
20 times 1.5 plus 15 equals 45
45 times 2 plus 20 equals 110
110 times 2.5 plus 25 equal 300
<span>300 times 3 plus 30 equals 930
</span>
Hope this helps<span />
MrRissso [65]3 years ago
3 0
To get from the first number to the second number the equation is 10x0.5+5=10
Thereafter the equation to get to the next number is 10x1.0+10=20
Thereafter the equation to get the next number is 20x1.5+15=45
Thereafter the equation to get the next number is 45x2.0+20=110
You can notice the pattern, the first number is what the last number was, you increase the second number by 0.5 and you increase the third number by 5.
Following this pattern to find the last number you do 110x2.5+25. This equation results in the number 300. Now time for the last number. You input 300x3.0+30. The answer results in 930. Therefore, the missing number is 930. 
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PLEASE HELPP !! The ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy knows the diagonal of the
EleoNora [17]

Answer:

a) d = 36 ft. ( using Pithagoras´theorem )

b) d = 36 ft  ( Using ( function sin ) trigonometry

Step-by-step explanation:

a) Using Pythagoras´Theorem:

Diagonal (d) is the hypothenuse of a right triangle of side 25 feet, and according to Pythagoras´Theorem in a right triangle.

d²  =  a²  +  b²  

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d² =  (25)²  +  ( 25)²

d  = √ 2 * (25)²

d  = √2   * 25

d  =  1,414*25

d  =  35,35

d = 36 ft.

b) Using trigonometry:

We know that sin 45° = cos 45° =  √2 / 2

In a right triangle

sin α  =  opposite side / hypothenuse (d)

sin 45°  =  √2 / 2   =  25/ d

√2 *d  =  2* 25

d  =  50/√2

d  =  50 / 1,414

d  =  35,36

d = 36 ft

6 0
3 years ago
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scoundrel [369]

Answer:

f(1)=-48(-\frac{1}{4} )

= 12

f(n)=f(n-1)\:. (-\frac{1}{4} )

<u />

<u>OAmalOHopeO</u>

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