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3 years ago

if 4 is subtracted form the half of the square of a natural number, the result is 14, find the numbers

Mathematics

1 answer:

GaryK [48]3 years ago

5 0

Answer:

$Suppose~that~the~natural~number~is~x.\\According~to~question,\\\frac{x^2}{2}-4=14\\or, \frac{x^2}{2}=18\\or, x^2=36\\or, x=+6~or~-6\\x~cannot~be~equal~to~-6~since~it~is~a~natural~number.\\So,~the~required~number~is~6.$

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If a 30-foot silo casts a 20-foot shadow, what is the approximate measure from the tip of the shadow to the top of the silo?

KATRIN_1 [288]

9514 1404 393

Answer:

(d) 36 feet

Step-by-step explanation:

Use your sense of geometry.

The hypotenuse of a right triangle will never be less than the longest side, and will never be greater than 1.5 times the longest side*.

That means the only reasonable answer choices will be between 30 and 45 feet. There is only one such choice.

The measure is about 36 feet.

If you like, you can find a more exact value using the Pythagorean theorem. The distance d of interest is ...

d^2 = 20^2 +30^2 = 1300

d = √1300 = 10√13 ≈ 36.0555 ≈ 36 . . . feet

_____

* The longest hypotenuse will be √2 ≈ 1.4142 times the longest right triangle leg when the two legs are equal length.

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3 years ago

What multiple cation will you do if your answer is 390

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3 years ago

Read 2 more answers

ben drives from a 36- foot platform. The equation h= -16t^2+14t+36 models the dive. How long will it take Ben to reach the water

Valentin [98]

So you want to plug in the height for h and solve for t

36 = -16t^2+14t+36
So you get 14/16 which simplifies to
7/8 seconds

Hope this helped!

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2 years ago

A guitar string is plucked at a distance of 0.6 centimeters above its resting position and then released, causing vibration. The

liubo4ka [24]

Answer:

The equation that represents the motion of the string is given by:

$y =Ae^{-kt}\cos(2\pi ft)$ .....[1] where t represents the time in second.

Given that: A = 0.6 cm (distance above its resting position) , k = 1.8(damping constant) and frequency(f) = 105 cycles per second.

Substitute the given values in [1] we get;

$y =0.6e^{-1.8t}\cos(2\pi 105t)$

$y =0.6e^{-1.8t}\cos(210\pi t)$

(a)

The trigonometric function that models the motion of the string is given by:

$y =0.6e^{-1.8t}\cos(210\pi t)$

(b)

Determine the amount of time t that it takes the string to be damped so that $-0.24\leq y \leq0.24$

Using graphing calculator for the equation

$y =0.6e^{-1.8x}\cos(210\pi x)$

let x = t (time in sec)

Graph as shown below in the attachment:

we get:

the amount of time t that it takes the string to be damped so that $-0.24\leq y \leq0.24$ is, 0.5 sec

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3 years ago

Which equation can be used to solve X in the following diagram?

nata0808 [166]

The answer is

A) 6x+12x+90=180

Here's x

18x=180-90

18x=90

x=90/18

x=5

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3 years ago

if 4 is subtracted form the half of the square of a natural number, the result is 14, find the numbers​

if 4 is subtracted form the half of the square of a natural number, the result is 14, find the numbers