All categories

3 years ago

The law of cosines is a² + b² - 2abcosC = c². find the value of 2abcosC

Mathematics

2 answers:

taurus [48]3 years ago

7 0

$\bf a^2+b^2-(2ab)cos(C)=c^2\implies a^2+b^2-c^2=(2ab)cos(C)$

Elina [12.6K]3 years ago

3 0

Answer:

We need a diagram please

Step-by-step explanation:

You might be interested in

A line passes through point A(10,15). A second point on the line has an x-value that is 125% of the x-value of point A and a y-v

melisa1 [442]

The equation of the line in the point-slope form is y - 15 = $-\frac{3}{2}$ (x - 10)

Step-by-step explanation:

The point-slope form of a linear equation is $y-y_{1}=m(x-x_{1})$ , where

m is the slope of the line, where $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ , $(x_{1},y_{1})$ and $(x_{2},y_{2})$ are two points on the line
$(x_{1},y_{1})$ is a point on the line

∵ Point A = (10 , 15)

∵ The x-coordinate of the second point is 125% of x-coordinate

of point A

∴ x-coordinate of second point = $\frac{125}{100}$ × 10

∴ x-coordinate of second point = 12.5

∵ The y-coordinate of the second point is 75% of y-coordinate

of point A

∴ y-coordinate of second point = $\frac{75}{100}$ × 15

∴ y-coordinate of second point = 11.25

∴ The coordinates of the second point are (12.5 , 11.25)

Let us find the slope of the line by using the rule of it above

∵ $(x_{1},y_{1})$ = (10 , 15)

∵ $(x_{2},y_{2})$ = (12.5 , 11.25)

∴ $m=\frac{11.25-15}{12.5-10}=\frac{-3.75}{2.5}=-\frac{3}{2}$

Now we can write the equation

∵ The point-slope form is $y-y_{1}=m(x-x_{1})$

∵ $m=-\frac{3}{2}$

∵ $(x_{1},y_{1})$ = (10 , 15)

- Substitute these values in the form of the equation

∴ y - 15 = $-\frac{3}{2}$ (x - 10)

The equation of the line in the point-slope form is y - 15 = $-\frac{3}{2}$ (x - 10)

Learn more:

You can learn more about the linear equation in brainly.com/question/4152194

#LearnwithBrainly

5 0

3 years ago

Write a function rule for the area of rectangle whose length is 2ft more than its width. What is the area of the rectangle when

Marianna [84]

According to the problem, the length is 2 feet more than its width, which is expressed as the following function

$l=w+2$

If the width is x, then the length is x+2.

We can express the following function for the area

$A(x)=x(x+2)$

Let's replace the width x = 11 ft.

$A(11)=11\cdot(11+2)=11(13)=143$ <h2>Hence, the area is 143 square feet. </h2><h2>The function for the area is</h2> $A(x)=x(x+2)$

Where x represents the width.

3 0

1 year ago

Esther wants to know if the number of words on a page in her language arts book is generally more than the number of words on a

kykrilka [37]

Answer: The correct answer is "No, because there is a lot of variability in the language arts book data."

The mean of the language arts book is higher than the mean of the social studies book, however, there is a lot of variability in the language arts book. This means that the language arts book could actually be lower than the social studies book. It is not likely but it could happen.

7 0

4 years ago

Read 2 more answers

I need help fasttt

jenyasd209 [6]

B! Would be the answer! Good luck on the test!

5 0

4 years ago

Read 2 more answers

Help please timed :(((

Alik [6]

A because you move down 5 units and over 2

5 0

3 years ago