Answer:
x = 11
Step-by-step explanation:

and check:

•<span>75% = 0.75
•</span><span>450 ÷ 0.75 = 600
•</span><span>450 is 75% 0f 600
There are the steps that I used to get that </span><span>450 is 75% 0f 600</span>
The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.
Step-by-step explanation:
The given is,
a = 5
b = x - 1
c = x
Step:1
Pythagorean theorem is,
................................(1)
( It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides )
From the given values the equation (1) becomes,

(
)
25 + (
+ 1 - 2x ) = 
25 + 1 -2x = 0 ( ∵ Eliminate
in both sides)
26 = 2x
x = 13
Step:2
From the values of x,
a = 5
b = ( 13 - 1 ) = 12
c = 13
Result:
The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.
Answer:
$435.3
Step-by-step explanation:
Assuming simple interest
Interest, I=Pi/100 where P is principal amount and i is rate of interest in percentage
For $3500, the interest will be 3500*2.2/100=$77
From total target of $151, the person is less 151-77=$74
Taking x as principal and rate of interest as 17% then
0.17x=74
X=74/0.17=$435.2941176470
Rounded off as $435.3
Distance of A from cliff = 1500·arctan(30°) ≅ 723.5 ft
distance of B from cliff = 723.5+1000√3 ≅ 2455.6 ft
tanθ = 2455.6/1500 = 1.637
θ = arctan(1.637) ≅ 58.6°
angle of depression = 90-θ ≅ 30°