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3 years ago

Geometric proofs of segments

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

3 0

Answer:

The proof is shown below.

Step-by-step explanation:

Given: B is mid point of AC and C is mid-point of BD.

To prove: AD=3AB

It is given that B is mid-point of AC.

⇒ AB = BC ...(1)

Also, C is mid-point of BD.

⇒ BC = CD ...(2)

From (1) and (2),

AB = BC = CD

Now, AD = AB + BC + CD

⇒ AD = AB + AB + AB (∵ AB = BC = CD )

Hence proved.

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HELP PLSS I HAVE 10 minutes

omeli [17]

Answer:

h≈1.43

Step-by-step explanation:

Simply ,Square the radius, and then divide the radius squared into the tripled volume. For this example, the radius is 2. The square of 2 is 4, and 300 divided by 4 is 75. Divide the amount calculated in Step 2 by pi, which is an unending math constant that begins 3.14, to calculate the cone's height.

4 0

3 years ago

1/5 divided by 3 is what

Vsevolod [243]

Answer:

the answer would be 1/15, or approximately 0.067.

Step-by-step explanation:

8 0

3 years ago

Hank has to drain his pool so repairs can be done on a crack on the bottom. The company coming to fix the pool is scheduled to a

Alik [6]

Answer:

The answer to the question: "Will Hank have the pool drained in time?" is:

Yes, Hank will have the pool drained in time.

Step-by-step explanation:

To identify the time Hank needs to drain the pool, we can begin with the time Hank has from 8:00 AM to 2:00 PM in minutes:

Available time = 6 hours * 60 minutes / 1 hour (we cancel the unit "hour")
Available time = 360 minutes

Now we know Hank has 360 minutes to drain the pool, we're gonna calculate the volume of the pool with the given measurements and the next equation:

Volume of the pool = Deep * Long * Wide
Volume of the pool = 2 m * 10 m * 8 m
Volume of the pool = 160 m^3

Since the drain rate is in gallons, we must convert the obtained volume to gallons too, we must know that:

1 m^3 = 264.172 gal

Now, we use a rule of three:

If:

1 m^3 ⇒ 264.172 gal
160 m^3 ⇒ x

And we calculate:

$x = \frac{160 m^{3}*264.172 gal }{1m^{3} }$ (We cancel the unit "m^3)
x = 42267.52 gal

At last, we must identify how much time take to drain the pool with a volume of 42267.52 gallons if the drain rate is 130 gal/min:

Time to drain the pool = $\frac{42267.52gal}{130\frac{gal}{min} }$ (We cancel the unit "gallon")
Time to drain the pool = 325.1347692 minutes
Time to drain the pool ≅ 326 minutes (I approximate to the next number because I want to assure the pool is drained in that time)

As we know, Hank has 360 minutes to drain the pool and how it would be drained in 326 minutes approximately, we know Hank will have the pool drained in time and will have and additional 34 minutes.

7 0

3 years ago

Help I have a lot to do

BaLLatris [955]

12)
(intro) Slope is change in y divided by change in x (axes). Here, the y axis is depth and the x axis is hours. So, the slope is change in depth between any two points, divided by the change in hours between the same points. The slope of this line is half a foot depth divided by 2 hours.
a) So, the slope is 0.5 / 2 = 0.25, or 1/4.
b) The graph shows a constant rate of change because the line is straight (it increases at the same speed. If the line was curving, it would not be a constant rate of change).
c) Yes, because the line has a constant rate of change now.

4 0

3 years ago

Which statement is true about the equations –3x + 4y = 12 and x – y = 1?

Firlakuza [10]

-3x + 4y = 12
x - y = 1....x = y + 1

-3(y + 1) + 4y = 12
-3y - 3 + 4y = 12
-3y + 4y = 12 + 3
y = 15

x - y = 1
x - 15 = 1
x = 1 + 15
x = 16

one solution (16,15)

6 0

3 years ago