Answer:
x=2
Step-by-step explanation:
7x - 3 = 11
Add 3 to each side
7x - 3+3 = 11+3
7x = 14
Divide by 7
7x/7 = 14/7
x = 2
Given:
Consider the sides of the triangle are 4x+10, 2x-5 and 18 (in feet).
Perimeter of this triangle is to be no more than 77 feet.
To find:
The inequality and solution of the inequality.
Solution:
Perimeter of a triangle is the sum of all side.
Perimeter of given triangle 
Perimeter of this triangle is to be no more than 77 feet. It means perimeter must be less than or equal to 77.
Divide both sides by 6.
Therefore, the required inequality is and the solution is .
This is what I got - csc pi/2 - 1 ( on 29 ) and cot pi/4+1 ( on 27 )
Answer:147.77
Step-by-step explanation:17.96+3.15=21.11 and 21.11x7= 147.77
Answer:
c = 9 feet
Step-by-step explanation:
In this situation, one is to find the 'c' : that is, the distance between the vertex and the focus.
Given that, the equation for a vertical parabola:
y = (1/4c)(x-h)^2 + k
Supposing we place our parabola at the center, our equation becomes:
y = (1/4c)x^2
.
The problem gives us a point on the parabola: (12,4)
Then insert it in and solve for 'c':
y = (1/4c)x^2
4 = (1/4c)12^2
4 = (1/4c)144
4 = (1/c)36
4c = 36
c = 36/4
c = 9 feet
