All categories

3 years ago

Find the value of the trigonometric ratio. make sure to simplify the fraction if needed

Mathematics

1 answer:

solong [7]3 years ago

3 0

Answer:

12/5

Step-by-step explanation:

since we are dealing with the angle at Z, we consider Z also to be the center of a circle.

then 10 is the radius of this circle.

24 is tan Z in this circle with radius 10.

tan Z in the standard circle with radius 1 is simply 1/10 of the tan Z in the circle with radius 10.

so, tan Z = 24/10 = 12/5

You might be interested in

How do I solve -6a+23=-4a+5(-6a-1)?

jasenka [17]

Easy£¥= Combine all the a’s on each side. Combine parenthesis first.Isolate the variables on both sides first. Answer= a=-1

4 0

4 years ago

A point on the terminal side of an angle theta is given. Find the exact value of each of the six trigonometric functions of thet

statuscvo [17]

Answer:

Step-by-step explanation:

Plot that point in the x/y coordinate plane to see that it sits in the third quadrant. From the point, draw a line to the origin, constructing a right triangle. The side adjacent to the angle is -2, the side across from the angle is -5, so we need to find the length of the hypotenuse using Pythagorean's Theorem:

$c^2=(-5)^2+(-2)^2$ and

$c^2=25+4$ so

$c=\sqrt{29}$

That means that

$sin\theta=-\frac{5}{\sqrt{29} }=-\frac{5\sqrt{29} }{29}$ and

$csc\theta=-\frac{\sqrt{29} }{5}$

That means that

$cos\theta=-\frac{2}{\sqrt{29} }=-\frac{2\sqrt{29} }{29}$ and

$sec\theta=-\frac{\sqrt{29} }{2}$

It also means that

$tan\theta=\frac{5}{2}$ and

$cot\theta=\frac{2}{5}$

4 0

4 years ago

Emma ran 30 blocks in 1/4 of an hour. What is her running rate in blocks per hour? ______ blocks per hour

hjlf

Answer:

88 because she/he got injured

3 0

3 years ago

During off hours, cars arrive at a tollbooth on the East-West toll road at an average rate of 0.5 cars per minute. The arrivals

Norma-Jean [14]

Answer:

$P(X=3) = 2.5^3 \frac{e^{-2.5}}{3!}=0.214$

Step-by-step explanation:

Definitions and concepts

The Poisson process is useful when we want to analyze the probability of ocurrence of an event in a time specified. The probability distribution for a random variable X following the Poisson distribution is given by:

$P(X=x) =\lambda^x \frac{e^{-\lambda}}{x!}$