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2 years ago

Explain how to construct a perpendicular bisector. ?

2 answers:

8 0

Open the compass it is more than half of the distance between a and b, and scribes arcs of the same radius centered at a and b. call the two points where these two arcs meet c and d. Draw the line between c and d. CD it is the perpendicular bisector of the line segment AB. call the point where CD intersects AB and E

defon2 years ago

8 0

First: place the compass on the end of a line segment. second: adjust the compass to just slightly longer than half the line segment length. third: draw arcs above and below the line fourth: keeping the same compass width draw arcs from the other end of the line. last place ruler where arcs cross and draw line segment

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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

M<1= (2x + 7y) degrees and m<2= (2x+y) degrees find x and y

Romashka-Z-Leto [24]

Do you have a picture for this problem? There are multiple different ways to solve this problem but I'll need a picture to help you.

3 0

3 years ago

Put together, Albert and Jason have

Anon25 [30]

Answer:

Step-by-step explanation:

you have to subtract 110 by 42 then when you have that number you divide it by two. then you add 42 to one of the twin numbers. That will be how many jason has, and albert will have the other number you kept the same.

7 0

2 years ago

Express each repeating decimal as a fraction. 1. 1.8[4] 2. 2.1[26]

Viefleur [7K]

Hello,

1.8444444....=1.8+1/10*0.44444....
=1.8+1/10*4/9
=1.8+4/90
=162/90+4/90
=166/90
=83/45

2.126262626...=2.1+1/10*0.262626...
=2.1+1/10*26/99
=2.1+26/990
=2079/990+26/990
=2105/990
=421/198

4 0

3 years ago

A barista averages making 16 coffees per hour. At this rate, how many hours will it take until she’s made 1,200 coffees?

nignag [31]

Answer:

75 hours

Step-by-step explanation:

16 times x=1200 or

16x=1200

divide both sides by 16

1200/16

so we simplify 1200/16 by factoring out the ones (4/8=1/2 times 4/4 since 4/4=1)

1200=3*2*2*2*2*5*5

16=2*2*2*2*1

so we notice that there are four 2's in both so those are the 'ones' so cross them off and get

3*5*5/1 or 75/1 or 75 hours

5 0

3 years ago