A line with slope = 1/2 passes through the points (2,5) and (x, 3). What is the value of x?
1 answer:
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Given:
The sum of two terms of GP is 6 and that of first four terms is
To find:
The sum of first six terms.
Solution:
We have,
Sum of first n terms of a GP is
...(i)
Putting n=2, we get
...(ii)
Putting n=4, we get
(Using (ii))
Divide both sides by 6.
Taking square root on both sides, we get
Case 1: If r is positive, then using (ii) we get
The sum of first 6 terms is
Case 2: If r is negative, then using (ii) we get
The sum of first 6 terms is
Therefore, the sum of the first six terms is 7.875.
Answer:
6
Step-by-step explanation:
The circumference of a circle is , so
. We can use this because the area of a circle is
. Thus,
.
Answer:
The required answer is
Therefore the number in green box should be 7.
Step-by-step explanation:
Given:
AB = 7√2
AD = a , BD = b , DC = c , AC = d
∠B = 45°, ∠C = 30°
To Find:
c = ?
Solution:
In Right Angle Triangle ABD Sine identity we have
Substituting the values we get
Now in Triangle ADC Tangent identity we have
Substituting the values we get
The required answer is
