Answer:
x = 11
BD = 10
Step-by-step explanation:
Solving for x
The opposite sides if a parallelogram are equal and parallel.
Hence,
2x - 5 = 17
Collecting like terms:
2x = 17 + 5
2x = 22
x = 11
If E is a midpoint, then BE equals to DE
Since BE = 5, then
BD = 2 * BE
BD = 10
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) 10,000
Step-by-step explanation:
10x1000 = 10,000
Therefore the answer is 10,000.
Answer:
<h2>$87.32</h2>
Step-by-step explanation:
Step one:
given data
we are told that the initial bill is $74
thereafter they gave a tip worth 18% of the bill
let us compute what 18% of $74 will amount to
Step two:
=18/100*74
=0.18*74
=$13.32
The added expenses is $13.32
Hence the total cost is
the initial bill plus the tip
=74+13.32
=$87.32
Answer:
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