A is irrational but b is rational. This is because for b you can work out both square root of 64 (8) and square root of 4 (2). But for a, the square root of 5 is an irrational number :)
Ratio and proportion
height :legnth of shadow=56:49 (man's shadow)
we assume the ratio is the same for the tower thing (obelisk)
so
56:49=x:28
conver tto fraction
56/49=x/28
times both sides by 28
1568/49=x
32=x
answer is 32ft
Answer:
C) Infinitely many
Step-by-step explanation:
7x+3-x=3(1+2x)
6x+3=3+6x
Subtract 3 from both sides
6x = 6x
Infinitely many solutions
Answer:
Trapezoid 1 (left side):
Base 1 = 2
Base 2 = 5
Trapezoid 2 (right side):
Base 1 = 6
Base 2 = 8
Step-by-step explanation:
<u>1st trapezoid:</u>
b_1 = x
b_2 = x + 3
h = 4
Hence, area (from formula) would be:

<u>2nd trapezoid:</u>
b_1 = 3x
b_2 = 4x
h = 2
Putting into formula, we get:

Let's equate both equations for area and find x first:

We can plug in 2 into x and find length of each base of each trapezoid.
Trapezoid 1 (left side):
Base 1 = x = 2
Base 2 = x + 3 = 2 + 3 = 5
Trapezoid 2 (right side):
Base 1 = 3x = 3(2) = 6
Base 2 = 4x = 4(2) = 8
Answer:
75%
Step-by-step explanation: