Answer:
x = 4
Step-by-step explanation:
All the sides on a regular pentagon are equal to each other.
Answer:
c
Step-by-step explanation:
Answer:
21 weeks
Step-by-step explanation:
In this question, we are to use proportionality to find the solution to the question.
We were made to know that the time taken to build the highway is varied directly with the length and inversely with the number of workers.
Let us make a mathematical representation for this.
Let the time be t, number of workers be w and length be l
t is directly proportional to l and inversely proportional to w
Mathematically;
t = kl/w
Where k is the constant of proportionality.
Let’s find the value of k
150 workers built 12 miles of highway in 14 weeks ; plug these in the equation to get k
14 = k * 12/150
k = 150 * 14/12 = 175
Now we want to get t given w and l
from ;
t = kl/w
We can get t; where l = 15 and w = 125
t = 175 * 15/125
t = 21 weeks
If you draw only 25 balls, you could draw the 25 odd-numbered balls. However, there will then be no odd-numbered balls left, so when you draw two more you will be guaranteed to get two even-numbered balls. Thus, the minimum is 25+2=27 balls.
Answer:
x = 1
x = -5/8 + i* root( 39) / 8
or x = -5/8 - i* root( 39) / 8
Step-by-step explanation:
(x+x)^2 × -(x×(-1))=4+x-x^2
solve for x, show work.
(x+x)^2 × -(x×(-1)) = 4+x-x^2
Simplify:
(2x)^2 * (-(-x)) = 4 + x - x^2
4x*x * (-(-x)) = 4 + x - x*x
4*x*x*x = 4 + x - x*x
4*x*x*x - 4 = x *(1 - x)
4* (xxx - 1) = x * (1- x)
4* (x - 1)*( x*x +x + 1) = x (1 - x)
4( xx + x + 1) = -x
x = 1 is a solution.
4xx + 4x + 4 = -x
4xx + 5x + 4 = 0
x = -5/8 + root(25 - 4*4*4) / 2*4
x = -5/8 + i* root( 39) / 8
or x = -5/8 - i* root( 39) / 8
also x = 1
