Answer:
a = 15
Step-by-step explanation:
screenshots below should explain the answer :)
Subtract sqrt(3) to both sides so that the equation becomes -3x^2 + 7x + 2 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [-b ± √(b^2 -4ac) ] / (2a)
x = [ -7 ± √((7)^2 - 4(-3)(2)) ] / ( 2(-3) )
x = [-7 ± √(49 - (-24) ) ] / ( -6 )
x = [-7 ± √(73) ] / ( -6)
x = [-7 ± sqrt(73) ] / ( -6 )
x = 7/6 ± -sqrt(73)/6
The answers are 7/6 + sqrt(73)/6 and 7/6 - sqrt(73)/6.
Answer:
-z+4=-4
Step-by-step explanation:
First, you want to move the positive four to the other side to isolate the variable.
-z=-8
You cannot have a negative variable, so divide both sides by 1.
-z/1=-8/1
Your answer would be:
Z=8
Hope this helps!!
Answer:
Angle made by ramp with ground is ≈
Step-by-step explanation:
Diagram of given scenario is shown below.
Given that,
Horizontal Distance of Skateboard ramp is 
ft.
Height of Skateboard ramp is 
ft.
From figure,
It is forming a Right angle triangle 
.
In , 
and 
.
Clearly see that we need to find measure of angle 
.
Using Trigonometric ratio:
So, 
Then 
Therefore, Angle made by ramp with ground is ≈
The bonus would be worth $493,000.
3.4% = 3.4/100 = 0.034; 3.4% of 14500000 = 0.034(14500000) = 493000.
