Answer:
I believe it is D, but I'm not sure, I'm trying to help but correct me if I am wrong.
Step-by-step explanation:
Answer:
25/3 ft/s
Step-by-step explanation:
Height of pole , h=15 ft
Height of man, h'=6 ft
Let BD=x
BE=y
DE=BE-BD=y-x
All right triangles are similar
When two triangles are similar then the ratio of their corresponding sides are equal.
Therefore,







Differentiate w.r.t t

We have dx/dt=5ft/s
Using the value

Hence, the tip of his shadow moving with a speed 25/3 ft/s when he is 45 feet from the pole.
Answer:
False
Step-by-step explanation:
lets find out..
x - 3y < 1.....check (2,-1)....x = 2 and y = -1
now we sub
2 - 3(-1) < 1
2 + 3 < 1
5 < 1.......so is 5 less then 1 ? NO, it is not...so (2,-1) IS NOT a solution
Answer:
19 units
Step-by-step explanation:
Perimeter of the rectangle = 124 units
width = x units
length = 5 + 2x units
The perimeter of a rectangle is given by;
P = 2(l + b)
Substituting values;
124 = 2[(5 + 2x) + x]
124 = 2[5 + 3x]
124 = 10 + 6x
124 - 10 = 6x
114 =6x
x= 114/6
x = 19
width = 19 units
Answer:
-3/4 p^11
Step-by-step explanation:
9/16p^7 ⋅ (-4/3p^4)
Multiply the numbers together
9/16 * -4/3 = -3/4
Now multiply the variables
p^7 * p^4
We know that a^b* a^c = a^(b+c)
p^(7+4) = p^11
Putting these back together
-3/4 p^11