Answer:
20.25
Explanation:
We first need to find the length of one side of the square. We can do this by dividing the area by 4 (27/4), since a square has four sides. You should get 6.75. Now you can multiply 6.75 by three since one side of the square is the same as one side of the triangle. Also, it is an equilateral triangle and all sides are the same. If you multiply correctly, you should get 20.25. Hope this helped!
Answer:
Step-by-step explanation:
3x = 36 x 5
3x = 180
x = 60
Michael has 60 marbles.
Nick recieves 9 more marbles so he has 36 + 9 = 45 marbles
The new ratio will be:
=
Answer:
AB = 5.6 cm
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle θ = 62°
Hypothenus = BC = 12 cm
Adjacent = AB =?
The lenght of side AB can be obtained by using Cos θ ratio. This is illustrated:
Cos θ = Adjacent / Hypothenus
Cos 62 = AB / 12
0.4695 = AB / 12
Cross multiply
AB = 0.4695 × 12
AB = 5.6 cm
Thus, length AB is 5.6 cm
Answer:
There are two rational roots for f(x)
Step-by-step explanation:
We are given a function
To find the number of rational roots for f(x).
Let us use remainder theorem that when
f(a) =0, (x-a) is a factor of f(x) or x=a is one solution.
Substitute 1 for x
f(1) = 1-2-5+6=0
Hence x=1 is one solution.
Let us try x=-1
f(-1) = 1-2-5+6 =0
So x =-1 is also a solution and x+1 is a factor
We can write f(x) by trial and error as
We find that 
factor gives two irrational solutions as
±√3.
Hence number of rational roots are 2.
Answer:
Rate of change: 25
Initial value: 25
Equation: y = 25x + 25
Step-by-step explanation:
✔️hours = x
Fee = y
Rate of change (m) = ∆y/∆x
Rate of change (m) = 25/1 = 25
Rate of change (m) = 25
✔️Initial value = y-intercept (b).
To find the initial value, simply substitute (x, y) = (1, 50) and m = 25 into y = mx + b.
Thus:
50 = (25)(1) + b
50 = 25 + b
Subtract 25 from each side
50 - 25 = b
25 = b
b = 25
✔️To write an equation, substitute m = 25 and b = 25 into y = mx + b.
Thus:
y = 25x + 25
