Answer:
a₆ ≈ 25.284
Step-by-step explanation:
There is a common ratio between consecutive terms , that is
8 ÷ 6 =
÷ 8 = ![\frac{4}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D)
This indicates the sequence is geometric with nth term
= a₁ ![r^{n-1}](https://tex.z-dn.net/?f=r%5E%7Bn-1%7D)
where a₁ is the first term and r the common ratio
Here a₁ = 6 and r =
, then
a₆ = 6 ×
= 6 ×
=
≈ 25.284 ( to the nearest thousandth )
Answer:
A person standing on the bank of the river observes that the angle of elevation of the top of a tree standing on the opposite bank is 60
∘
.When he was 40m away from the bank he finds that the angle of elevation to be 30
∘
.Find
(i) the height of the tree.
(ii)the width of the river,correct to 2d.p
Answer:
X=4
Step-by-step explanation:
Solution: x equals 4
x/14-(6/21)=0
1. Simplify 2/7
x/14- 2/7 is 0
It’s too much steps
Answer:
29/40
Step-by-step explanation:
1/8 + 3/5 =
We need a common denominator.
8 = 2^3
5 = 5
8 and 5 have no common factors, so the LCD is their product.
LCD = 5 * 8 = 40
1/8 + 3/5 =
= 5/40 + 24/40
= 29/40
<h3>
Answer:</h3>
![\large\boxed{B). \,41}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7BB%29.%20%5C%2C41%7D)
<h3>
Step-by-step explanation:</h3>
In this question, we would be plugging in the given numbers to the right variables and solving from there.
We know that:
Our equation is:
When you plug in the numbers, your equation should look like this:
![6(4^2 -5) - 5^2](https://tex.z-dn.net/?f=6%284%5E2%20-5%29%20-%205%5E2)
Now, you solve:
![6(4^2 -5) - 5^2\\\\\text{Lets start with the number inside the parenthesis}\\4^2\,\text{is the same as 4*4}\\\\6(16 -5) - 5^2\\\\6(11) - 5^2\\\\66-5^2\\\\5^2\,\text{is the same as 5*5}\\\\66-25\\\\\text{Finish by subtracting}\\\\41](https://tex.z-dn.net/?f=6%284%5E2%20-5%29%20-%205%5E2%5C%5C%5C%5C%5Ctext%7BLets%20start%20with%20the%20number%20inside%20the%20parenthesis%7D%5C%5C4%5E2%5C%2C%5Ctext%7Bis%20the%20same%20as%204%2A4%7D%5C%5C%5C%5C6%2816%20-5%29%20-%205%5E2%5C%5C%5C%5C6%2811%29%20-%205%5E2%5C%5C%5C%5C66-5%5E2%5C%5C%5C%5C5%5E2%5C%2C%5Ctext%7Bis%20the%20same%20as%205%2A5%7D%5C%5C%5C%5C66-25%5C%5C%5C%5C%5Ctext%7BFinish%20by%20subtracting%7D%5C%5C%5C%5C41)
When you're done solving, you should get 41.
This means that B). 41 would be the correct answer.
<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>