Answer:
533.33 ft/min
Step-by-step explanation:
We are given that
x=3 feet
y=4 feet
Height of person,h=6 feet

Triangle ABC and A'B'C are similar because all right triangles are similar
By using similarity property








Differentiate w.r.t t



Hence, If the person is 6 feet tall and walks away from the lamp post at a speed of 400 feet per minute then his shadow moving at the rate 533.33 ft/min
Firstly, we will draw figure
Let's assume
length of AC=x
we have
AB : BC = 2 : 1
so,


Point D is on line AB
and

AD : DB = 3 : 2
so, we get




now, we can locate these values
Firstly, we will find DC
DC=DB+BC
now, we can plug values


we have got

now, we can find ratio

now, we can simplify it

so,
AD:DC=2:3...........Answer
Answer:
1900×9÷100
19×9=171
ok if you any doubt say me
Answer:
The discrimant of this equation is 144.
Step-by-step explanation:
First you have to move all the variables to one side to make the equation/expression into 0 by substracting 8x² to both sides :
9x² + 14x + 13 = 8x²
9x² + 14x + 13 - 8x² = 8x² - 8x²
x² + 14x + 13 = 0
It is given that the formula of discriminant is, D = b² - 4ac where a&b&c represent the number of the equation, ax²+bx+c = 0 :
x² + 14x + 13 = 0
D = b² - 4ac
= 14² - 4(1)(13)
= 196 - 52
= 144
Answer:
about 4.9x10^5
Step-by-step explanation:
(4.9x10^5-5.8x10^4)= 4899999.9994