Can someone help me Please

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

3 years ago

I need this answer too please help

VMariaS [17]

Answer:

x = 6

Step-by-step explanation:

When 2 chords of a circle intersect then the product of the parts of one is equal to the product of the parts of the other, that is

2x = 3 × 4, that is

2x = 12 ( divide both sides by 2 )

x = 6

7 0

3 years ago

12 x+12y = 156 4x + 6y =62 I need help please

mojhsa [17]

Answer:

{x,y}={8,5}

Step-by-step explanation:

12x + 12y = 156 4x + 6y = 62

8 0

3 years ago

50 POINTS WILL GIVE BRAINIEST. Which of the following numbers are irrational?

Otrada [13]

Answer:

$\sf \dfrac{\pi}{3}\:\:and\:\:\sqrt[\sf 3]{\sf 25}$

Step-by-step explanation:

Definitions

Integer: A whole number that can be positive, negative, or zero.

Rational Number: A number that can be expressed as the ratio of two integers (where the denominator does not equal zero).

Irrational Number: A real number that cannot be written as a rational number.

$\sf -8.2183 \times 10000=-82183$

$\implies \sf -8.2183=-\dfrac{82183}{10000}$

Therefore, -8.2183 can be expressed as a rational number.

π is an infinite decimal, so it cannot be expressed as a rational number.

$\textsf{Therefore},\:\dfrac{\pi}{3}\:\textsf{is irrational}.$

$\sqrt[\sf 3]{\sf 25}$ is an irrational number.

$\sf 9+ \sqrt{4}=9+\sqrt{2^2}=9+2=11$

As 11 can be expressed as ¹¹/₁ then 9 + √4 is rational.

Conclusion

Therefore, the numbers that are irrational are:

$\sf \dfrac{\pi}{3}\:\:and\:\:\sqrt[\sf 3]{\sf 25}$

8 0

2 years ago

explain why we cannot construct such an interval using the normal approximation. what might go wrong if we constructed the confi

Lyrx [107]

Null Hypothesis, $H_{0}$ : The heart transplant operation had no impact on the patient's survival rates. Alternative Hypothesis, $H_{A}$ : It was asserted that recipients of heart transplants had a higher chance of surviving than recipients of organs from other donors.

The large distribution from binomial, Poisson, etc. is approximated by the normal distribution. Furthermore, the variables are discrete and few, and we are working with counted data rather than real observations. Chi-square distribution should be used in the current scenario. We can determine if the two groups are the same or different by using the chi-square test. As a result, a confidence interval cannot be created.

In other words, the Null Hypothesis is true if the average for the two groups (control and treatment) is equal. In the alternative theory, The averages for the two groups (control and treatment) are different.

To learn more about confidence intervals:

brainly.com/question/17212516

#SPJ4

8 0

1 year ago