2 3/4 would be 2.75 in simplest fraction form
Answer:
x = 31
Step-by-step explanation:
Given:
f(x) =

g(x) = x + 2
We will first find g(2).
g(2) = 2 + 2 = 4
Next we will find f(g(2)).
f(g(2))= f(4) =

Answer:
1/21.
Step-by-step explanation:
There are 9 digits and the total number of permutations of 3 from 9 is 9P3
= 9!/6! = 504.
There are 4 even digits so the number of permutations of 3 from these 4 is 4! (4-3)! = 4*3*2 = 24.
So the required probability = 24/504
= 1/21.
Answer: height of the tower is 1064 feet
Step-by-step explanation:
We want to determine the height of the tower.
Assuming her line of sight of the top of the tower is a straight line, then a right angle triangle is formed. The height, h of the tower represents the opposite side of the triangle. Her distance from the foot of the tower represents the adjacent side of the triangle.
To determine h, we would apply the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side
Therefore,
Tan 85.7 = h/80
h = 80tan 85.7
h = 1064 feet
Answer:
The correct option is a=5, b = -4, c=7 ....
Step-by-step explanation:
The standard form is ax²+bx+c=0
where a, b, and c being constants, or numerical coefficients, and x is an unknown variable.
The given expression is:
4x + 5x2 = 8x – 7
To make it a standard equation we will move all the values to the left hand side and 0 will be left at the right hand side.
4x+5x²-8x+7=0
Now solve the like terms and arrange the equation according to the standard form:
ax²+bx+c=0
5x² - 4x +7 =0
Here a = 5
b = -4
c= 7
Thus the correct option is a=5, b = -4, c=7 ....