! Means starting from that number multiply by every number down to 1.
5!= 5•4•3•2•1 = 20•6=120
2!= 2•1=2
120+2=122 :)
Height of the woman = 5 ft
Rate at which the woman is walking = 7.5 ft/sec
Let us assume the length of the shadow = s
Le us assume the <span>distance of the woman's feet from the base of the streetlight = x
</span>Then
s/5 = (s + x)/12
12s = 5s + 5x
7s = 5x
s = (5/7)x
Now let us differentiate with respect to t
ds/dt = (5/7)(dx/dt)
We already know that dx/dt = 7/2 ft/sec
Then
ds/dt = (5/7) * (7/2)
= (5/2)
= 2.5 ft/sec
From the above deduction, it can be easily concluded that the rate at which the tip of her shadow is moving is 2.5 ft/sec.
Answer:
C. ∠B ≅ ∠Y
Step-by-step explanation:
This is because AAS means 2 angles and 1 side are congruent.
Which means there are two possible answers: B or C. But answer B says angle C and Z are congruent which would make both triangles congruent by ASA and not AAS
