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3 years ago

13

F(x)=tan(x)

1 answer:

AleksAgata [21]3 years ago

7 0

<span>Tan(x) = sin(x) / cos(x). Therefore, tan(x) pi/2 = 1/0, which doesn't exist. Imagine that, instead of 0, it's a number incredibly close to 0. The smaller the number in the denominator, the bigger the outcome. Therefore, we can think of 1/0 as infinity, or approaching infinity as one gets closer to 1/0. This is the same result approaching from the negative side, only it's negative infinity. If x=0, it's 0/1 instead (sin 0=0, cos 0=1). Anything divided by 1 is itself, so as x approaches 0, so does f(x).</span>

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Radius of x^2+y^2=25

SOVA2 [1]

Answer:

5

Step-by-step explanation:

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3 years ago

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In a triangle , the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 100 m

madam [21]

Answer:

The three unknown angles X, Y , and Z are:

X = 40, Y = 20, and Z = 120

Step-by-step explanation:

Let's name X the measure of the first angle, Y the measure of the second one, and Z that of the third one.

Then we can create the following equations:

X = 2 Y

Z = 100 + Y

and

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So we use the first equation and the second one to substitute for the variable X and Z in the thrid equation:

2 Y + Y + (100 + Y) = 180

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3 years ago

Two boats sail away from a buoy making a 90 degree angle. The first boat is 165 meters away and is traveling at 25 m/s. The seco

NikAS [45]

Answer:

Step-by-step explanation:

lets say in the shown triangle x=165

so speed $\frac{dx}{dt} =25$

and $\frac{dy}{dt} =35$

Also since distance = speed* time

time = pi minutes = pi/60 seconds

y = $\frac{35\pi \pi }{60}$

y = $\frac{7\pi }{12}$

Now using the pythagorean :

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<u>derivate the equation so we get :</u>

$x\frac{dx}{dt} +y\frac{dy}{dt} =z\frac{dz}{dt} \\$ $165*25+35*\frac{7\pi }{12}=\sqrt{165^2+(\frac{7\pi }{12})^2} *\frac{dz}{dt}$

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3 years ago

A local hamburger shop sold a combined total of 525 hamburgers and cheeseburgers on Monday. There were 75 more cheeseburgers sol

max2010maxim [7]

Answer: 225 hamburgers were sold on Monday.

Step-by-step explanation:

525 = h + c

h = hamburger

c = cheeseburger

c = 75 + h

h + (h + 75) = 525

2h + 75 = 525

-75

2h = 450

/2

h = 225

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3 years ago

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