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3 years ago

P=w/t,for W what is the equation to solve this problem

Mathematics

1 answer:

ankoles [38]3 years ago

3 0

$P = \frac{W}{t}$

$W = P*t$

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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.

3 0

3 years ago

Given m||n, find the value of x and y

34kurt

<h2>Answer: </h2><h3> x=15 & y=52</h3>

Hope this might help you (•.•) :)

4 0

3 years ago

A recipe whuch makes 8 servings calls for 2 cups if sugar. How many cups if sugae will it takr to make 18 servings

yan [13]

Answer:
4.5 cups of sugar
Explanation:
set up the problem like servings/cups. it would look like 8/2. then add the 18 servings and make it 8/2=18/x so you can cross multiply. cross multiply and you get 8x=36. divide it by 8 and you get x=4.5 cups. hope this helps!

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3 years ago

Please answer this question now

rodikova [14]

Answer:

113 degrees

Step-by-step explanation:

Measure of arc ADCB = 58+108+60 = 226 degrees

Measure of angle B = 226/2 = 113 degrees

3 0

3 years ago

Read 2 more answers

Susie has 126 pink beads and 147 white beads to make bracelets with. She must make more than one bracelet and each bracelet is i

aleksandrvk [35]

Answer:

6 pink and 7 white

Step-by-step explanation:

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3 years ago