Answer:
<em><u>8</u></em><em><u>t</u></em><em><u>h</u></em><em><u> </u></em><em><u>t</u></em><em><u>e</u></em><em><u>r</u></em><em><u>m</u></em><em><u>=</u></em><em><u>1</u></em><em><u>0</u></em><em><u>7</u></em>
Step-by-step explanation:
Here the sequence is following the 'fibonacci's sequence of numbers.....
i.e,Tn=T(n-1) +T(n-2), where n>2 but this sequence is not fibonnaci's number , it's not starting with 0, 1,1,2........
so you cannot apply formula to calculate,you have to find 8th term by simple calculation.....
Like here 3rd term is 9 and 1st term is 2
now 3rd term = 2nd term+1st term (sum of previous two terms)
i.e, 9= 2nd term +2
i.e, 2nd term =7
now, 4th term = 3rd +2nd
= 9+7=<u>1</u><u>6</u>
<u>again</u><u>,</u><u> </u> 5th term = 4th +3rd
=16+9=25
again,6th term =5th+4th
=25+16=41
again,7th term=6th+5th
=41+25=66
again,8th term=7th+6th
=66+41=107
In 8, 9, 10, all the triangles are similar, meaning corresponding sides have the same ratio.
8. hypotenuse / (short side) = 25/x = x/9
x² = 25*9 = 5²×3²
x = √(5²×3²) = 5*3 = 15
9. (long side) / (short side) = x/7 = 9/x
x² = 7*9
x = √(9*7) = 3√7
10. (short side) / (long side) = x/48 = 48/64
x = 48²/64 = 36
Answer: 63.59cm²
Step-by-step explanation:
The area covered by the pitch will be gotten by finding the value of the area of the circle and this will be:
Area of q circle = πr²
where,
π = 3.14
r = radius = diameter/2 = 9cm/2 = 4.5cm
Area = πr² = 3.14 × 4.5²
= 3.14 × 20.25
= 63.59cm²
Therefore, the area covered by the pitch is 63.59cm²
Answer:
-30, 2, -9
Explanation:
Coefficients are the constant quantity placed before and multiplying the variable in an algebraic expression.
(Including whether its a positive or negative)
Answer:
see explanation
Step-by-step explanation:
To find the terms of the sequence substitute n = 1, 2, 3, 4, 10 into the rule.
n = 1 → 2(1)² = 2(1) = 2
n = 2 → 2(2)² = 2(4) = 8
n = 3 → 2(3)² = 2(9) = 18
n = 4 → 2(4)² = 2(16) = 32
n = 10 → 2(10)² = 2(100) = 200
The first 4 terms are 1, 8, 18, 32 and the 10 th term is 200
