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
Elina [12.6K]
2 years ago
15

Suppose a triangle has two sides of length 33 amd 37, and that the angle between these two sides is 120°. What is the length of

the third side of the triangle
Mathematics
1 answer:
jeka57 [31]2 years ago
7 0

Answer:

c = 60.65 cm

Step-by-step explanation:

Given that,

The two sides of a triangle are 33 cm and 37 cm.

The angle between these two sides is 120°.

We need to find the length of the third side of the triangle. Let c is the third side. Using cosine rule,

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

a = 33 cm, b = 37 cm and C is 120°

So,

c^2=(33)^2+(37)^2-2\times 33\times 37\cos (120)\\\\c=60.65\ cm

So, the length of the third side of the triangle is 60.65 cm.

You might be interested in
What is 2x – 4 = 2? Please answer soon!
frozen [14]
Add 4 to the right side of the equation to get sex then divide that by 2X and you get 3
4 0
2 years ago
Read 2 more answers
Prove: An odd number cubed is an odd number. (2n + 1)^3 = [ ? ]n^3 + [ ? ]n^2 + [ ? ]n [ ? ](4n3 + 6n2 + 3n) + [ ? ] = an odd​
anastassius [24]

Step-by-step explanation:

We know that odd * odd = odd

Thus odd*odd*odd = odd*odd = odd

6 0
2 years ago
When temperature is zero degree Celsius, the Fahrenheit temperature is 32. When the Celsius temperature is 100, the correspondin
7nadin3 [17]

Answer:

\\ y = 1.8(x) + 32 or \\ y = \frac{9}{5}(x) + 32

or equivalently:

\\ F = 1.8(C) + 32 or \\ F = \frac{9}{5}(C) + 32

Step-by-step explanation:

To express the Fahrenheit temperature <em>as a linear function of the Celsius temperature</em>, F(c), we can proceed as follows.

We can use here <em>the two-point form</em> <em>equation</em> of a line:

\\ y-y_1 = \frac{y_2 - y_1}{x_2 - x_1}(x-x_1) [1]

We are asked to express the <em>Fahrenheit temperature</em> as a function of <em>Celsius temperature</em>, so the independent variable, in this case, is <em>x</em> (Celsius temperature) and the dependent variable is <em>y</em> (Fahrenheit temperature).

When temperature is zero degree Celsius (\\x_1 = 0), the Fahrenheit temperature is 32 (\\y_1 = 32).

When the Celsius temperature is 100 (\\x_2 = 100), the corresponding Fahrenheit temperature is 212 (\\y_2 = 212).

Then, using [1], we have:

\\ y-32 = \frac{212 - 32}{100 - 0}(x-0)

\\ y-32 = \frac{180}{100}(x)

\\ y-32 = 1.8(x).

It could be also be written as:

\\ y-32 = \frac{18}{10}(x) = \\ y-32 = \frac{9}{5}(x), as it commonly appears in books.

Then <em>the Fahrenheit temperature express as a linear function of the Celsius temperature, F(c</em>) is ( solving the equation for <em>y </em>) :

\\ y = 1.8(x) + 32 or \\ y = \frac{9}{5}(x) + 32.

Or equivalently:

\\ F = 1.8(C) + 32 or \\ F = \frac{9}{5}(C) + 32

We can check this using the given values from the question:

For 0 Celsius degrees, the Fahrenheit temperature is:

\\ y = 1.8(0) + 32 = 32 Fahrenheit degrees.

For 100 Celsius degrees, the Fahrenheit temperature is:

\\ y = 1.8(100) + 32 = 180 + 32 = 212 Fahrenheit degrees.

5 0
3 years ago
Hans bought 3 CDs that were each the same price. Including sales tax, he paid a total of $53.40. Of that total, $3.60 was tax. W
Jet001 [13]

Answer:

$16.6

Step-by-step explanation:

x is the price of each CD before tax

so 3x + 3.60 = 53.40

3x = 53.40 - 3.60 = 49.80

x = 49.80/3 = 16.6

3 0
2 years ago
Twenty two dollars an hours plus 2.25%
amid [387]

Answer:

how long are you working? what are you asking for?

what is the percentage for?

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Can you please help me with 3b.
    8·1 answer
  • Rewrite in polar form x^2 + y^2 - 6y - 8 = 0
    14·2 answers
  • Which inequality describes the graph?
    10·2 answers
  • Calculate the area of the shape​
    7·2 answers
  • Use rounding or compatible numbers to estimate the difference 762-332
    13·1 answer
  • Help meh pllllllllllllllzzzzzzzzz
    6·1 answer
  • Let an be the sum of the first n positive odd integers.
    10·1 answer
  • Cuales 2 figuras tienen 4 lados de la misma longitud
    13·1 answer
  • Find Slope and Y-intercept
    9·2 answers
  • Last year,raul earned $17,500 working as a freelance writer and 15,250 as a waiter the income tax he must pay is 18% what is the
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!