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3 years ago

Solve for x. 2 - In(x + 3) = In 4 x = In 4 - 1 Ox=2e Ox-4e2-3 OX=-3

Mathematics

1 answer:

erastova [34]3 years ago

6 0

Answer:

X=1

Step-by-step explanation:

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A street light is at the top of a 25 ft pole. A 4 ft tall girl walks along a straight path away from the pole with a speed of 6

Burka [1]

Answer:

Tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

Step-by-step explanation:

Given : In the figure attached, Length of girl EC = 4 ft

Length of street light AB = 25 ft

Girl is moving away from the light with a speed = 6 ft per sec.

To Find : Rate ( $\frac{dw}{dt}$ ) of the tip (D) of the girl's shadow (BD) moving away from th

light.

Solution : Let the distance of the girl from the street light is = x feet

Length of the shadow CD is = y feet

Therefore, $\frac{dx}{dt}=6$ feet per sec. [Given]

In the figure attached, ΔAFE and ΔADE are similar.

By the property of similar triangles,

$\frac{x}{21}=\frac{x+y}{25}$

25x = 21(x + y)

25x = 21x + 21y

25x - 21x = 21y

4x = 21y

y = $\frac{4x}{21}$

Now we take the derivative on both the sides,

$\frac{dy}{dt}=\frac{4}{21}\times \frac{dx}{dt}$

= $\frac{4}{21}\times 6$

= $\frac{8}{7}$

≈ 1.14 ft per sec.

Since w = x + y

Therefore, $\frac{dw}{dt}= \frac{dx}{dt}+\frac{dy}{dt}$

$\frac{dw}{dt}=6+1.14$

= 7.14 ft per sec.

Therefore, tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

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3 years ago

Y=x-3 determine the slope

Anettt [7]

It is the answer M: 1

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3 years ago

What is 14 feet in inches

erastova [34]

168 inches.

Each foot equals 12 inches so multiplying by 14 will give you 168

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3 years ago

I NEED HELP PLEASE, THANKS! :)

Aleonysh [2.5K]

but where is ur question ??????

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3 years ago

Read 2 more answers

Jones of Boston borrowed $40,000, on a 90-day 10% note. After 60 days, Jones made an initial payment of $6,000. On day 80, Jones

jok3333 [9.3K]

Balance on 60th day PRIOR to payment
=40000(1+10%*(60/360))
=40666.67

Balance after payment of $6000
=40666.67-6000
=$34666.67

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3 years ago

Solve for x. 2 - In(x + 3) = In 4 x = In 4 - 1 Ox=2e Ox-4e2-3 OX=-3​

Solve for x. 2 - In(x + 3) = In 4 x = In 4 - 1 Ox=2e Ox-4e2-3 OX=-3