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3 years ago

Order 1 1/3 1.34 and 1.3 from least to greatest

Mathematics

1 answer:

qaws [65]3 years ago

4 0

Answer:

1 1/3 as a decimal is 1.333 so i think the answer would be 1.3, 1.34, then 1.333

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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

3 years ago

Which value of c would make the following express completely factored? 8x+cy

Artist 52 [7]

The answer is B, 7.

$\sf 8x+2y$

We can factor a 2 out of this: $\sf 2(4x+y)$

$\boxed{\sf 8x+7y}$

We can't factor anything.

$\sf 8x+12y$

We can factor a 4 out of this: $\sf 4(2x+3y)$

$\sf 8x+16y$

We can factor an 8 out of this: $\sf 8(x+2y)$

So your answer is B, 7.

6 0

3 years ago

Read 2 more answers

A good friend of yours

KATRIN_1 [288]

Sorry i have learnt it but i can remember how to do it

5 0

3 years ago

Carmen ran 2 laps around the track in 6 minutes. What are the unit rates in laps per minute and minutes per lap?

Ipatiy [6.2K]

1/3 of a lap per 1 minute, 3 minutes per lap

8 0