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konstantin123 [22]
3 years ago
8

How would you do this problem?

Mathematics
2 answers:
Elan Coil [88]3 years ago
6 0

Answer: the answer is 1

Step-by-step explanation:

I don't believe I have enough time to explain

photoshop1234 [79]3 years ago
4 0

Answer:

1

Step-by-step explanation:

Assuming no division by 0, anything divided by itself is 1.

You might be interested in
Item 7
Mariulka [41]

Answer:

A = 74.7^\circ

B = 42.5^\circ

C = 62.8^\circ

Step-by-step explanation:

Given

A = (-1,2) \to (x_1,y_1)

B = (2,8) \to (x_2,y_2)

C = (4,1) \to (x_3,y_3)

Required

The measure of each angle

First, we calculate the length of the three sides of the triangle.

This is calculated using distance formula

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2

For AB

A = (-1,2) \to (x_1,y_1)

B = (2,8) \to (x_2,y_2)

d = \sqrt{(-1 - 2)^2 + (2 - 8)^2

d = \sqrt{(-3)^2 + (-6)^2

d = \sqrt{45

So:

AB = \sqrt{45

For BC

B = (2,8) \to (x_2,y_2)

C = (4,1) \to (x_3,y_3)

BC = \sqrt{(2 - 4)^2 + (8 - 1)^2

BC = \sqrt{(-2)^2 + (7)^2

BC = \sqrt{53

For AC

A = (-1,2) \to (x_1,y_1)

C = (4,1) \to (x_3,y_3)

AC = \sqrt{(-1 - 4)^2 + (2 - 1)^2

AC = \sqrt{(-5)^2 + (1)^2

AC = \sqrt{26

So, we have:

AB = \sqrt{45

BC = \sqrt{53

AC = \sqrt{26

By representation

AB \to c

BC \to a

AC \to b

So, we have:

a = \sqrt{53

b = \sqrt{26

c = \sqrt{45

By cosine laws, the angles are calculated using:

a^2 = b^2 + c^2 -2bc \cos A

b^2 = a^2 + c^2 -2ac \cos B

c^2 = a^2 + b^2 -2ab\ cos C

a^2 = b^2 + c^2 -2bc \cos A

(\sqrt{53})^2 = (\sqrt{26})^2 +(\sqrt{45})^2 - 2 * (\sqrt{26}) +(\sqrt{45}) * \cos A

53 = 26 +45 - 2 * 34.21 * \cos A

53 = 26 +45 - 68.42 * \cos A

Collect like terms

53 - 26 -45 = - 68.42 * \cos A

-18 = - 68.42 * \cos A

Solve for \cos A

\cos A =\frac{-18}{-68.42}

\cos A =0.2631

Take arc cos of both sides

A =\cos^{-1}(0.2631)

A = 74.7^\circ

b^2 = a^2 + c^2 -2ac \cos B

(\sqrt{26})^2 = (\sqrt{53})^2 +(\sqrt{45})^2 - 2 * (\sqrt{53}) +(\sqrt{45}) * \cos B

26 = 53 +45 -97.67 * \cos B

Collect like terms

26 - 53 -45= -97.67 * \cos B

-72= -97.67 * \cos B

Solve for \cos B

\cos B = \frac{-72}{-97.67}

\cos B = 0.7372

Take arc cos of both sides

B = \cos^{-1}(0.7372)

B = 42.5^\circ

For the third angle, we use:

A + B + C = 180 --- angles in a triangle

Make C the subject

C = 180 - A -B

C = 180 - 74.7 -42.5

C = 62.8^\circ

8 0
3 years ago
Use the algebra tiles to model x – 3. Then complete the statements. The variable is represented by Subtracting three is represen
Arte-miy333 [17]

The complete statements are as follows;

The variable is represented by<u> one </u><u>orange </u><u>x </u><u>tiles</u><u>.</u>

Subtract three is represented by <u>three</u><u> </u><u>blue</u><u> - tiles</u>.

The tiles represent <u>subtraction</u> <u>3</u> from an unknown number.

<h3>What are algerbra tiles?</h3>

Algebra tiles are square and rectangle shaped tiles or tiles that represent numbers and variables.

Given

Use the algebra tiles to model x -3.

The complete statements are as follows;

The variable is represented by<u> one </u><u>orange </u><u>x </u><u>tiles</u><u>.</u>

Subtract three is represented by <u>three</u><u> </u><u>blue</u><u> - tiles</u>.

The tiles represent <u>subtraction</u> <u>3</u> from an unknown number.

To know more about algerbra tiles click the link given below.

brainly.com/question/81876

6 0
2 years ago
Kyle is making a frame for a rectangular piece of art. The length of the frame is 3 times the width, as shown below.
NeX [460]

Answer:

3.75 feet

Step-by-step explanation:

The length of the frame is 3 times the width.

Let the width be x.

The length will be 3x.

Kyle uses 10 feet of wood to make the frame. This means that the perimeter is 10 feet.

The perimeter of a rectangle is:

P = 2(L + W)

=> 10 = 2(3x + x)

=> 10/2 = 4x

5 = 4x

=> x = 5/4 = 1.25 feet

The width is 1.25 feet. The length is therefore:

1.25 * 3 = 3.75 feet

5 0
3 years ago
What is the volume of this triangular prism?<br><br> 182 m3<br> 195 m3<br> 210 m3<br> 390 m3
otez555 [7]
I think that the answer is 390
6 0
3 years ago
Read 2 more answers
Jorge drew a square that had a side length of 8 inches. What is the perimeter of Jorge’s square?
ziro4ka [17]

Answer:

32, because 8*4 is 32

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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