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3 years ago

Help Please! I'll Give Brainliest!

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

5 0

Answer:

Step-by-step explanation:

the answer is a

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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

Find the area of each regular polygon. Round to the nearest tenth.

miskamm [114]

Given:

A regular polygon with three vertices and side 14 cm.

To find:

Area of the regular polygon.

Solution:

We know that, a regular polygon has equal sides and equal interior angles.

The given regular polygon has three equal sides, it means it is an equilateral triangle.

The area of an equilateral triangle is:

$A=\dfrac{\sqrt{3}}{4}a^2$

Where, a is the side length of the triangle.

Putting $a=14$ , we get

$A=\dfrac{\sqrt{3}}{4}(14)^2$

$A=\dfrac{\sqrt{3}}{4}(196)$

$A=84.87049$

$A\approx 84.9$

Therefore, the area of given regular polygon is 84.9 cm².

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3 years ago

Latisha hired 4 babysitters in the last month. She paid a total of $170 in babysitting fees. If each babysitter worked a total o

VashaNatasha [74]

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3 years ago

The ratio of boys to girls in Ms. Thames's class is 2 to 3. There are 18 girls in the class. What is the total

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3 years ago

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I need to find the measure please help

tatiyna

Answer:

44 degrees

Step-by-step explanation:

The angles x + 2 and x are complementary; they sum up to 90 degrees.

Thus, x + 2 + x = 90 degrees, or:

2x = 88, or

x = 44.

The value of x is 44 degrees.

8 0

3 years ago