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3 years ago

How many sides does a regular polygon have if each exterior angle has a measure of 15 degrees? (Show work!!)

1 answer:

4 0

The answer is 24 sides
because the total amount of the exterior angles of a polygon is 360.
so if each exterior angle has a measure of 15:
$360 \div 15 = 24$

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Given two measurements, x and y, which both have uncertainty. Use the general error propagation formula, δf = vuut ∂f ∂xδx!2 + ∂

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Answer:

Step-by-step explanation:

Attached is the solution

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2 years ago

What is the missing part if 2.48>2.4 blank 1>2.463?

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2.48 > 2.471 > 2.463 5.723 < 5.724 < 5.725 7.64 < 7.65 < 7.68

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3 years ago

When 5655 is divided by a positive two digit intreger "N" the remainder is 11, when 5879 is divided by the same intreger N the r

Temka [501]

Answer:

Step-by-step explanation:

Hi,

When we divide 5655 by N, we get remainder of 11, which means that 5655-11 is a multiple of N.

5655 - 11 = 5644 is a multiple of N.

Similarly, 5879-14 should be a multiple of N.

5879 - 14 = 5865 is a multiple of N.

Because 5644 and 5865 are both multiples of N, their difference must be a multiple of N.

5865 − 5644 = 221 then 221 is a multiple of N.

We have three number of which N can be a multiple of, however we choose to factorize the smallest possible number amongst these three, which is 221. (This is only for simplification of the solution, smaller the number, less the factors)

221 : 1, 13, 17, 221.

There are only two two - digit factors: 13 and 17.

We divide 5865 and 5644 by both numbers.

$\frac{5865}{13} = 451.15 \\\frac{5865}{17} = 345 \\\frac{5644}{13} = 434.15 \\\frac{5644}{17} = 332\\$

Looking at these results, we know only 17 divides all three numbers.

Hence N=17.

The sum of both digits will be: 1 + 7 = 8

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3 years ago

I need help with these questions fast hury

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LOLLLLLOLLOLLLOLLL !

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2 years ago

A 25-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away from the wall at a constant ra

dsp73

Answer: The ladder is sliding down the wall at a rate of $5\dfrac{17}{50}\ ft/sec$

Step-by-step explanation:

Since we have given that

Length of ladder = 25 foot

Distance from the wall to the bottom of ladder = 15 feet

Let base be 'x'.

Let length of wall be 'y'.

So, by pythagorus theorem, we get that

$x^2+y^2=25^2\\\\15^2+y^2+625\\\\225+y^2=625\\\\y^2=625-225\\\\y^2=400\\\\y=\sqrt{400}\\\\y=20\ feet$

$\dfrac{dy}{dx}=-4\ ft/sec$

Now, the equation would be

$x^2+y^2=625\\$

Differentiating w.r.t x, we get that

$2x\dfrac{dx}{dt}+2y.\dfrac{dy}{dt}=0\\\\2\times 15\dfrac{dx}{dt}+2\times 20\times -4=0\\\\30\dfrac{dx}{dt}-160=0\\\\\dfrac{dx}{dt}=\dfrac{160}{30}=5.34\ ft/sec$

Hence, the ladder is sliding down the wall at a rate of $5\dfrac{17}{50}\ ft/sec$

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3 years ago