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hichkok12 [17]
3 years ago
6

A triangle has side lengths of 24 cm, 24 cm, and 24 cm.

Mathematics
2 answers:
SVETLANKA909090 [29]3 years ago
5 0
It’s an Equilateral
zhenek [66]3 years ago
3 0

Answer:

equilateral

Step-by-step explanation:

In an equilateral triangle, all sides and angles are equal.

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A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south at 3 ft/s from a point 500
Vedmedyk [2.9K]

Answer:

The rate at which both of them are moving apart is 4.9761 ft/sec.

Step-by-step explanation:

Given:

Rate at which the woman is walking,\frac{d(w)}{dt} = 3 ft/sec

Rate at which the man is walking,\frac{d(m)}{dt} = 2 ft/sec

Collective rate of both, \frac{d(m+w)}{dt} = 5 ft/sec

Woman starts walking after 5 mins so we have to consider total time traveled by man as (5+15) min  = 20 min

Now,

Distance traveled by man and woman are m and w ft respectively.

⇒ m=2\ ft/sec=2\times \frac{60}{min} \times 20\ min =2400\ ft

⇒ w=3\ ft/sec = 3\times \frac{60}{min} \times 15\ min =2700\  ft

As we see in the diagram (attachment) that it forms a right angled triangle and we have to calculate \frac{dh}{dt} .

Lets calculate h.

Applying Pythagoras formula.

⇒ h^2=(m+w)^2+500^2  

⇒ h=\sqrt{(2400+2700)^2+500^2} = 5124.45

Now differentiating the Pythagoras formula we can calculate the rate at which both of them are moving apart.

Differentiating with respect to time.

⇒ h^2=(m+w)^2+500^2

⇒ 2h\frac{d(h)}{dt}=2(m+w)\frac{d(m+w)}{dt}  + \frac{d(500)}{dt}

⇒ \frac{d(h)}{dt} =\frac{2(m+w)\frac{d(m+w)}{dt} }{2h}                         ...as \frac{d(500)}{dt}= 0

⇒ Plugging the values.

⇒ \frac{d(h)}{dt} =\frac{2(2400+2700)(5)}{2\times 5124.45}                       ...as \frac{d(m+w)}{dt} = 5 ft/sec

⇒ \frac{d(h)}{dt} =4.9761  ft/sec

So the rate from which man and woman moving apart is 4.9761 ft/sec.

3 0
3 years ago
Angela needs $60 to buy a series of books, she has saved $24 dollars and plans to work as a babysitter to earn 4 dollars per hou
Citrus2011 [14]
60=4x+24
-24. -24
36=4x
36÷4
x= 9
she needs babysit 9 more hours to have enough for the bool series
7 0
3 years ago
The hartford insurance company has hired you to poll a sample of adults about their car purchases. what is wrong with using tele
lawyer [7]

Answer:

Step-by-step explanation:

Given that the hartford insurance company has hired you to poll a sample of adults about their car purchases.

Here the insurance company is using convenience sampling to select customers so they resorted to taking the names from telephone directories.

But this may not be reliable since persons owning cars need not have telephones and similarly persons having telephones need not own cars

Owning a car and name appearing in telephone directory need not be associated at all

So taking random sample of names from telephone directories may not give the required accurate result since here sample cannot be assumed to represent the population of car owners.

6 0
3 years ago
GIVING BRAINLIST TO ANYONE WHO SOLVES ANY QUESTION <3
brilliants [131]

Answer:

Mild-Level 1: X=10

Medium-Level 2: X=21

Spicy Level 3: X=83

Step-by-step explanation:

You have to make sure each expression equals 90 degrees

7 0
3 years ago
A box of cereal has the following measurements: length = 16.5 cm; width = 4 cm; height = 30.25 cm. What is the volume of the cer
tester [92]

Answer:

1996.5

Step-by-step explanation:

16.5 X 4 X 30.25

Hope this helped, please give brainliest

Thank you!

6 0
2 years ago
Read 2 more answers
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