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
aliina [53]
4 years ago
13

If AC=5cm, BC=12cm, and m AC= 40 degrees what is the radius of the circumscribed circle

Mathematics
1 answer:
melamori03 [73]4 years ago
5 0
Let's assume they meant C=40 degrees.  With an angle like that they're asking for approximation; we'll oblige.

The circumradius is the product of the triangle sides divided by four times the area.

Here we have remaining side given by the Law of Cosines.

AB^2 = AC^2 + BC^2 - 2\ AC \ BC \cos C

AB^2 = AC^2 + BC^2  - 2 AC \ AB \cos C = 5^2 + 12^2 - 2(5)(12) \cos 40^\circ

AB = \sqrt{  169 - 120 \cos 40 ^\circ}  \approx 8.77921789

The area is \frac 1 2\ AC \ BC \sin C = \frac 1 2 (5)(12) \sin 40^\circ \approx 19.283628



The circumradius is  r \approx \dfrac{(5)(12)(8.77921789 )}{ 4 (19.283628) }  = 6.829019329




You might be interested in
What are the amplitude, period, and phase shift of the given function? f(t)=-2/3 cos (3t-3pi)
dybincka [34]

Answer:

amplitude; \frac{2}{3}

Phase shift; \pi units right

Period;\frac{2\pi}{3}

Step-by-step explanation:

The given function is

y=-\frac{2}{3}\cos(3t-3\pi)

This function is of the form;

y=A\sin (Bt+C)

The period is given by:

|A|=|-\frac{2}{3}|= \frac{2}{3}

The period is given by:

T=\frac{2\pi}{|B|}= \frac{2\pi}{|3|}=\frac{2\pi}{3}

The phase shift is given by;

\frac{C}{B}=\frac{-\3pi}{3}=- \pi or \pi units right.

4 0
3 years ago
#14 two cars start from the same point, at 11:05 am, traveling in opposite directions at 45 and 24 mph, respectively. At what ti
noname [10]

The cars travel at a 21MPH difference, so if we divide 460 by 21, we get 21.9


Answer: 21.9 hours

3 0
3 years ago
Im stuck again I SUCK AT MATH please help!!
hodyreva [135]

Answer:

2 does not belong

Step-by-step explanation:

We know that 2 cups of orange juice make 3 cups of fruit punch. So 2/3 cups of orange juice makes 1 cup of fruit punch. Due to this, you know that 2/3 belongs.

7 0
3 years ago
C) Which of these numbers is a square number?
-BARSIC- [3]

Answer:

A is the correct answer

3 0
3 years ago
Read 2 more answers
Which triangles are congruent
Anarel [89]

Answer:

I don’t see any triangles to tell you

Step-by-step explanation:

8 0
4 years ago
Other questions:
  • I need help with this qustion ?
    10·1 answer
  • How many times greater is the value of the digit 2 in 23,876 than the value of the digit 2 in 3,254
    5·2 answers
  • Which of the following fractions is equivalent to 0.45? 4/5 2/5 9/20 9/200
    6·1 answer
  • Mr. Walker is looking at the fundraiser totals for the last five years.
    5·2 answers
  • Match the pairs of variables with the type of relationship they show
    13·2 answers
  • Can someone please give me this answer
    11·1 answer
  • 26. During a sale, a store offered a 20% discount on a particular camera that was originally priced at $450.
    11·2 answers
  • Not sure need help ​
    13·2 answers
  • Hii i’ll give brainliest please help thanks :)
    12·1 answer
  • 3
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!