Note: The third term of the sequence should be 
instead of 
, otherwise the sequence has no common ratio.
Given:
The given sequence is
To find:
The common ratio of the given sequence.
Solution:
The quotient of each pair of consecutive terms are:
Similarly,
And,
Therefore, the common ratio of the given sequence is 
or 0.75.
6 inches from the original piece of ribbon is left.
Answer:
Answer:
Length of leg of triangle =
Step-by-step explanation:
We are given a 45°-45°-90° triangle with hypotenuse measuring 18 cm.
Let us assume the following labeling of the diagram, as attached in the answer area.
The two angles here are equal to 45° so two sides of the triangle opposite to the equal angles will also be equal to each other i.e. it is an isosceles triangle.
i.e. The sides XY and YZ will be equal.
Let XY = YZ = x cm
It is known that in a right angled triangle, pythagorean theorem holds well.
As per pythagoream theorem:
Putting the values:
So, the length of leg of triangle =
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
1. Plug in the values.
q=10
p=-6
10÷2-(10)(-6)÷6
2. Use PEMDAS.
10÷2+60÷6
5+10
15
Answer:
d)X=4 or x=-2
Step-by-step explanation:
X²-2x=8
X²-2x-8=0
(x-4)(x+2)=0
X-4=0 or x+2=0
X=4 or x=-2
