The number of terms, 'n' is 8
<h3 /><h3>How to determine the number of terms</h3>
Let's determine the common ratio;
common ratio, r = 3/1 = 3
The formula for sum of geometric series with 'r' greater than 1 is given as; Sn = a( r^n - 1) / (r - 1)
n is unknown
Sn = 3280
Substitute the value
3280 = 1 ( 3^n - 1) / 3- 1
3280 = 3^n -1 /2
Cross multiply
3280 × 2 = 3^n - 1
6560 + 1 = 3^n
6561 = 3^n
This could be represented as;
3^8 = 3^n
like coefficient cancels out
n = 8
Thus, the number of terms, 'n' is 8
Learn more about geometric series here:
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Yea. 3 times 23 equals 69.
To see, which plane traveled <span>farthest of shortest distance we have to write all the numbers in the same accurance
3.345
3.35 => 3.350
3.3 => 3.300
The longest is 3.35
The shortest is 3.3</span>
Answer:
16√3 cm²
Step-by-step explanation:
The perimeter of a triangle is the sum of its all three sides. Since this is an equilateral triangle, all sides are equal.
Let's consider one side of the triangle to be 'x'
Givent that, the perimeter is 24cm,
The equation should be x + x + x = 24
⇒3x = 24
∴ x = 8 cm
To find the area of the triangle, we need to find the height, and for that, we can use trigonometry.
Since it is an equilateral triangle, all angles are exact 60°.
let's draw a line and mark it as 'h'.
we can use sine formula to find out the opposite i.e. h
sin∅ = opposite ÷ hypotaneous
sin 60° = h ÷ 8
h = 8 sin 60°
h= 4√3
Now, let's find the area
Area = 1/2 × base × height
Area = 1/2 × 8 × 4√3
area= 16√3 cm²
In parallelogram SAVE, the value of the angle is m∠SEV = 125° while in parallelogram MORE ∠MOR = 111
<h3>What is a
parallelogram?</h3>
A parallelogram is a quadrilateral with equal opposite and parallel sides. Opposite angles are equal.
In parallelogram SAVE:
m∠VAS = m∠SEV
3x - 5 = 2x + 15
x = 20
m∠VAS = 3(20) - 5 = 55 degrees
m∠VAS + m∠SEV = 180 (consecutive interior angles)
55 + m∠SEV = 180
m∠SEV = 125°
In parallelogram MORE:
∠MOR + ∠ORE = 180 (consecutive interior angles)
4x - 5 + 2x + 11 = 180
x = 29
∠MOR = 4(29) - 5 = 111
In parallelogram SAVE, the value of the angle is m∠SEV = 125° while in parallelogram MORE ∠MOR = 111
Find out more on parallelogram at: brainly.com/question/970600
