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3 years ago

Three numbers are in the ratio 5 :3 : 2. If the sum of their squares is 5472, find the three numbers

Mathematics

1 answer:

jasenka [17]3 years ago

7 0

Answer:

60 36 24

Step-by-step explanation:

5 3 2

25x +9x + 4x = 5472

38x = 5472

x = 144

25(144) = 3,600 9(144) = 1,296 4(144) = 576

60² = 3,600 36²= 1,296 24² = 576

3,600 + 1,296+576 = 5,472

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tamaranim1 [39]

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Nina [5.8K]

Answer:

It's D.

Step-by-step explanation:

Convert each number to decimal format.

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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.

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2 years ago

Solve the absolute value equation |8|=28

DENIUS [597]

The answer is false. This is because<u> 8 does not equal the number 28</u>.

Explination:

|8| = 28

8≠28

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3 years ago

Explain how to find the product 3^5 x 3^2 using rules for exponents.

AlekseyPX

Step-by-step explanation:

$\because \: {a}^{m} \times {a}^{n} = {a}^{m + n} \\ \\ \therefore \: {3}^{5} \times {3}^{2} = {3}^{5 + 3} = {3}^{8} = 6,561 \\$

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3 years ago