1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Molodets [167]
3 years ago
14

Please show working out, thanks!

Mathematics
1 answer:
sveticcg [70]3 years ago
4 0
3^2x = 2^3y = x/y = x/y
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
2 years ago
I need help with this please pls pls
Masja [62]

Answer:in what ?

Step-by-step explanation:

7 0
3 years ago
A man watches 9/11 happen with $5.00 in his pocket. How many one dollar bills could he have when The Daily Telegraph began publi
Citrus2011 [14]
1035 that should be your answer
6 0
3 years ago
I am having a bit of a hard time solving this problem, it would be a pleasure if some one were to help me!
Llana [10]
I got 42.5 cuz 4x+10=180 then take away 10 from both sides so 4x=170 and you divide each side by 4
8 0
3 years ago
Read 2 more answers
You earned $23.10. You would like to buy some new T-shirts. Estimate the number of T-shirts you can buy if each one costs $5.75.
nika2105 [10]
5 shirts and still have 10 cents extra.
7 0
3 years ago
Other questions:
  • Help With Probability!! Pleaseeeeee! Check My Answers!!
    12·2 answers
  • What is the common ratio of this one?
    11·1 answer
  • What is the value of x to the nearest tenth <br> 3.6 <br> 5.8<br> 11.5<br> 14.3
    15·2 answers
  • Antonio has read 147 pages a book. He has completed 70% of the book. How many more pages does he need to read to finish the book
    6·2 answers
  • What is the value of x? <br> 142 <br> 132<br> 71<br> 66
    10·2 answers
  • A solider is parachute training. He jumps out of a plane high enough that the pilot determines the solider will land somewhere i
    13·1 answer
  • What is the average of 27 and 45?
    5·1 answer
  • Plz helpp me!!?:) I don’t understand
    12·1 answer
  • For the given corporate bond, whose annual simple interest rate is provided, find the
    7·2 answers
  • Hal earns n dollars per hour. Next month he will receive a 2% raise in pay per hour. The expression
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!