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3 years ago

HELP ME PLSSSS HELPPPPP

Mathematics

1 answer:

skad [1K]3 years ago

8 0

Answer:

I think A

Step-by-step explanation:

Since the center of dilation is at A, only the A coordinate remains

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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

WILL GIVE BRAINLIEST, please explain your answer! Calculate the area of the block "V" shown below. *Drawing not to scale

Vadim26 [7]

Answer:

132 mm^2

Step-by-step explanation:

The line added to the figure in the attachment shows it can be divided into two figures whose area is easily calculated.

1. A parallelogram of base length 20 mm and height 4 mm:

A = bh = (20 mm)(4 mm) = 80 mm^2

2. A trapezoid with bases 32 mm and 20 mm, and height 2 mm:

A = (1/2)(b1 +b2)h = (1/2)(32 mm +20 mm)(2 mm) = 52 mm^2

The total area of the figure is then ...

80 mm^2 +52 mm^2 = 132 mm^2

8 0

3 years ago

in hillary's garden, she has 5 variety of snake plants and 15 variety of orchids. what is the ratio of snake plants to orchids?

bezimeni [28]

Answer:

1:3

Step-by-step explanation:

She has 1 snake plant for every 3 orchids.

4 0

3 years ago

Please help me!! ASAP it’s timed !! Thank you

atroni [7]

Answer:

no, no, yes, yes

Step-by-step explanation:

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3 years ago

Find the value of nif 2n=1

hram777 [196]

Answer:

n=0.5

Step-by-step explanation:

2 times 0.5 = 1

5 0

3 years ago

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