Someone who is smart help, Im struggling with this and it's the last hardest question on my homework. Please help.

Use the Law of Cosines to find the values of x and y. (PLEASE HELPPP!!!!)

vredina [299]

Answer:

$x = 49.8^\circ\\y = 54.6^\circ$

Step-by-step explanation:

Kindly refer to the image attached in the answer region for labeling of triangle.

AB = 16

BC = 19

AC = 15

$\angle ABC = x^\circ\\\angle ACB = y^\circ$

We have to find the angles x and y i.e. $\angle B \text{ and }\angle C$ .

Formula for cosine rule:

$cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}$

Where

a is the side opposite to $\angle A$ ,

b is the side opposite to $\angle B$ and

c is the side opposite to $\angle C$ .

$\Rightarrow cos x = \dfrac{19^{2}+16^{2}-15^{2}}{2 \times 19 \times 16}\\\Rightarrow cos x = \dfrac{392}{608} \\\Rightarrow x = 49.8^\circ$

Similarly, for finding the value of y:

$cos C = \dfrac{a^{2}+b^{2}-c^{2}}{2ab}\\\Rightarrow cos y = \dfrac{19^{2}+15^{2}-16^{2}}{2 \times 19 \times 15}\\\Rightarrow cos y = \dfrac{330}{570}\\\Rightarrow y = 54.6^\circ$

Hence, the values are:

$x = 49.8^\circ\\y = 54.6^\circ$

7 0

3 years ago

Give a real world example for when you would

Lelechka [254]

Answer:

Let's say that someone was building a yard.

(I tired to make this all connected.)

For Part 1) He wants to put his fence around the yard. If it's a rectangle measuring 45 * 32 ft, he would have to find the perimeter of the rectangle so he could install the correct amount of fences. The perimeter is the measurement 'around' a shape.

For area (part 2), if he wanted to know how much he was able to put stuff inside, he would have to find the area of the rectangle. The area is the space occupied by a 2D shape.

Part 3: The person then wants to paint a box as a decoration. He has a small 3 * 3 *3 box. The person needs to find how much paint he needs to cover the box appropriately, or the surface area of the box. Surface area is the total measurement of the surface in a 3D figure.

Part 4: He then wants to put something in the box. He does not know how much can he fit in it, so he would have to find the volume of the box. The volume of a 3D figure is the measurement of how much it can 'fill' the shape.

Hope this helps.

8 0

3 years ago

Use the distributive property to write an experssion that is equalent to 7(3x-4)

photoshop1234 [79]

Answer:

21x-28

Step-by-step explanation:

the distributive property states that a(bx+c) is equal to abx+ac. in this expression, a is 7, b is 3, and c is negative 4. ab is 7*3, which is 21, so abx is 21x. ac is 7*-4, which is -28. combining these two results in 21x-28.

6 0

2 years ago

Read 2 more answers

Please help me with this!!

Kaylis [27]

Answer:
2 dollars each

Step-by-step :
Since 7 - 3 is 4
And 2 fries were bought then we have to divide 4 by 2 which equals 2. So 2 dollars were each small package of fries.

8 0

3 years ago

Part 1.] Identify the transformations that describe the graph of an odd function. Select all that apply.

Zarrin [17]

Hello,

1) A odd function has the propriety f(-x)=-f(x)
Answer E

2)
if f(x) is even f(x)=f(-x)
if g(x) is even g(x)=g(-x)

h(x)=f(x)+g(x)=(f+g)(x)
h(-x)=(f+g)(-x)=f(-x)+g(-x)=f(x)+g(x)=(f+g)(x)=h(x)

h(x) is even

3 0

3 years ago