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Alja [10]
2 years ago
10

(3/2)^2÷(1-3/2+√(1/8+7/16))×(1+2/3)^3 ayudaaaaaaaa

Mathematics
1 answer:
hram777 [196]2 years ago
4 0

Answer:

ayuda wala pa kmi SAP UMAYS

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A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters
In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

\Rightarrow y=\sqrt{x^2+100}

Differentiating with respect to t

\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}

\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}

Since the car driving towards the intersection at 13 m/s.

so,\frac{dx}{dt}=-13

\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)

Now

\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)

               =\frac{24\times (-13)}{\sqrt{676}}

               =\frac{24\times (-13)}{26}

               = -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0
2 years ago
Help pls. I'm stuck I just need the answer
sukhopar [10]

Answer:

39 men, 13 women

Step-by-step explanation:

you're saying you just need the answer so i hope this works. good luck :)

8 0
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Write in expanded form. Useto indicate multiplication. 5 2
nata0808 [166]

Answer:


Step-by-step explanation:

50

 

+

2


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Help me its due today
Tanzania [10]

Answer:

$65.35

Step-by-step explanation:

  1. First you have to divide 5.4% by 100
  2. Take 5.4/100 and multiply it by 62
  3. Take the number you get from step 2 and add it to 62! (:
4 0
3 years ago
A automated car Wash can watch 30 cars in 2 hours how long would it take it to wash 90 cars
inessss [21]

Answer:

30/5=6 is the answer  

Step-by-step explanation:

explanation:

120/6=20 hours...  I hope I helped :)

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