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3 years ago

Please help me with this question

Mathematics

1 answer:

Zinaida [17]3 years ago

4 0

Tree C is the proper tree. The first game has the possibility of a win, a loss, or a tie which the first row represents. The second game could also win, lose or tie, meaning each result would have each possibilty for that game.

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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

Are the equations 3x= -9 and 4x= -12 equivalent

Hitman42 [59]

Yes they are equivalent. You get -3 when you try solving the actual equation.

5 0

3 years ago

the centers of Marathon County Bayfield County and Dodge County all lie along a straight line if Marathon County is equidistant

Evgen [1.6K]

Marathon C is in the middle.

From Marathon C to Dodge C is 487

Then From Marathon C to Bayfield C is also 487

And from Dodge C to Bayfield C is 487 + 487 = 974 miles

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3 years ago

My brain capacity can not handle this one right now? Anyone good with geometry word problems? It’s number 12 if anyone is able t

densk [106]

Check the picture below.