Solve the following proportion for y.

Can someone help me please <br><br> A) tanL =<br> B) sinN= <br> C) cosN=

timofeeve [1]

Answer:

a.) tanL= 0.533

b.) sinN= 0.882

c.) cosN= 0.471

Step-by-step explanation:

Triangle ABC is similar to Triangle LMN, which means that their corresponding angles are congruents.

Using SOH-CAH-TOA we have,

tanL~tanA= 8/15 = 0.533

sinN~sinC= 15/17 = 0.882

cosN~cosC= 8/17 = 0.471

8 0

3 years ago

Convert the equation r = 12 sin theta to Cartesian coordinates. Describe the resulting curve.

VLD [36.1K]

Answer:

Step-by-step explanation:

Given that there is a polar equation as

$r=12 sin \theta$

This has to be converted into cartesian.

We know the conversion is

$r^2 =x^2+y^2 \\tan \theta = \frac{y}{x}$

Using this we can say that

$sin^2 \theta = 1-cos^2 \theta \\= 1-\frac{1}{sec^2 \theta} \\=1-\frac{1}{1+tan^2 \theta} \\=1-\frac{1}{1+\frac{y^2}{x^2} } \\=1-\frac{x^2}{x^2+y^2} \\=\frac{y^2}{y^2+y^2}$

$\sqrt{x^2+y^2} =12(\frac{y}{\sqrt{x^2+y^2} } \\x^2+y^2 =12y\\x^2+y^2-12y+36 = 36\\x^2+(y-6)^2 = 6^2$ }

Circle with centre (0,6) and radius 6.

7 0

4 years ago

A flower bed contains 52 roses and 48 tulips. Two flowers have wilted, what is the probability that the flower is a tulip.

Sergio [31]

First, I add 52 to 48 to get the total amount of flowers. 52 + 48 = 100. Out of those 100, there are 48 tulips. If one flower wilted, the probability of it being a tulip would be 48/100, or 0.48. If a second flower wilted (with only 99 flowers left, and only 47 tulips left), the probability of it being a tulip is 47/99 or 0.474747... To get the probability of both of those being tulips, multiply the two together. 48/100 * 47/99 = 2256/9900 (then, simplify to 376/1650)

I hope this helps! Can I have Brainliest? :)

5 0

3 years ago

5. Rounded to three decimal places, what is the value of r for this data set?

IrinaVladis [17]

The value of correlation coefficient (r) for the dataset is 0.981

<h3>What is correlation coefficient (r)?</h3>

The correlation coefficient (r) is used to determine the closeness and association of a scatter plot points.

The dataset is given as: