34.76
o
, nearly.
Explanation:
Angle of elevation = arc tan( (vertical height)/(length os the shadow)).
Here, this angle is
arc tan (12.5
/
18) =
34.78
o
, nearly
15 fish* (1 ft^3/ 0.3 fish)= 50 ft^3.
(Note that the unit cancels out so you get the answer)
The volume of the tank is 50 ft^3~
Answer:
B. x=y
Step-by-step explanation:
A 5% tax charge is equivalent to multiply the current price by 1.05. On the other hand, a 5% discount is equivalent to substrace the current the 5% of it, so in the end, you multiply the current price by 0.95.
For X we should multiply first by 0.95, then by 1.05
For Y we multiply first by 1.05, then by 0.95
Hence, if L = price list, we have
- x = L*0.95*1.05 = 0.9975L
- y = L*1.05*0.95 = 0.9975L
- z = L
As a result, x=y<z. Option B is correct.
Note that applying discount first or charging taxes first doesnt matter because the order of the factors doesnt ater the product.
Answer:
Step-by-step explanation:
Given that,
In an AP, the 6th term is 39 i.e.
In the same AP, the 19th term is 7.8 i.e.
Subtract equation (1) from (2).
7.8 - 39 = a+18d - (a+5d)
-31.2 = a +18d-a-5d
-31.2 = 13d
d = -2.4
Put the value of d in equation (!).
39 = a+5(-2.4)
39 = a- 12
a = 39+12
a = 51
The sum of n terms of an AP is given by :
![S_n=\dfrac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Put n = 25 and respected values,
![S_{25}=\dfrac{25}{2}[2(51)+24(-2.4)]\\\\=555](https://tex.z-dn.net/?f=S_%7B25%7D%3D%5Cdfrac%7B25%7D%7B2%7D%5B2%2851%29%2B24%28-2.4%29%5D%5C%5C%5C%5C%3D555)
Hence, the sum of first 25 terms of the AP is equal to 555.
