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Answer:
3¾
Step-by-step explanation:
Geometric sequence also known as geometric progression, can be said to be a sequence with a constant ratio between the terms.
Formula for geometric sequence:
Given:
First term, a1 = 30
ratio, r = ½
Required:
Find the fourth term
Where, the first term, a¹ = 30
Second term: a² = 30 * ½ = 15
Third term: a³ = 15 * ½ = 7.5
Fourth term: a⁴ = 7.5 * ½ = 3.75 = 3¾
Therfore the fourth term of the geometric sequence is 3¾
Answer:
The answer is 8.
Step-by-step explanation:
We need to use the quadratic formula, that is ax2+bx+c=0
Where
For the given equation x2+5x-104=0 we have
a=1, b=5, c= -104
If you solve that, we will have x=-13. x=8, two answers,
The first one, by being negative does not have physical sense (there are no negatives quantities when you measure the length of something)
So we use the anwser x=8
Answer:
Length = 45.37 in
Width = 30.56 in
Step-by-step explanation:
Let the width of the picture be 'w' inches.
Given:
Perimeter of the picture is,
Length is 15.75 inches shorter than twice the width. So, length is:
Now, we know that the perimeter of a rectangular shape is given as the sum of all of its side. So, the picture is also of rectangular shape and hence the perimeter is given as:
Plug in the values of 'l' and 'P' and solve for 'w'. This gives,
Therefore, the width of the rectangular picture is 30.56 inches.
Length of the picture is,
So, length of the picture is 45.37 inches and width is 30.56 inches.