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
PilotLPTM [1.2K]
3 years ago
7

Suppose a triangle has sides a, b, and c, and let (/) be the angle opposite the side of length a. If cos(/) > 0 what must be

true?
A. b^2 + c^2 < a^2
B. a^2 + b^2 = c^2
C. b^2 + c^2 > a^2
D. a^2 + b^2 > c^2
Mathematics
2 answers:
r-ruslan [8.4K]3 years ago
7 0
   Using the cosine rule

 a² =  b² +  c² -2 bc cos (/)

 Simplifying the equation in terms of cos (/),

 cos (/)= (b² + c² - a²)/(2bc) 

 If cos(/) > 0

 (b² + c² - a²)/(2bc) > 0 -----------------(b² + c² - a²) > 0 

the resulting inequality should be

<span>(b² + c² ) > a² 

The answer is the letter </span><span>C. b^2 + c^2 > a^2</span>
Katena32 [7]3 years ago
5 0
<span>cos(/)>0, that implies that a^2+b^2!=c^2. If that were the case, cos(/) would be 0. cos(/)>0 implies that the adjacent is greater than the hypotenuse. So, the opposite plus the adjacent is greater than the hypotenuses. So, then, that implies b^2+a^2>c^2. So, A.</span>
You might be interested in
What is the answer to 36/(9-4)??
kodGreya [7K]

Answer:

36/(9-4)=7.2

Step-by-step explanation:

You first have to subtract 4 from 9, because it is in the parentheses. The answer is 5, so you have 36/5, which equals 7.2

6 0
3 years ago
Read 2 more answers
1. Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial i
Katena32 [7]
Polynomial with real coefficients always has even number of complex roots. We know that one of them is 2 + 5i so the second one will be  2 - 5i and:

f(x)=\big(x-4\big)\big(x-(-8)\big)\big(x-(2+5i)\big)\big(x-(2-5i)\big)=\\\\=(x-4)(x+8)(x-2-5i)(x-2+5i)=\\\\=(x^2-4x+8x-32)(x^2-2x+5ix-2x+4-10i-5ix+10i-25i^2)\\\\=\big(x^2+4x-32\big)\big(x^2-4x+4-25\cdot(-1)\big)=\\\\=(x^2+4x-32)(x^2-4x+29)=\\\\=x^4-4x^3+29x^2+4x^3-16x^2+116x-32x^2+128x-928=\\\\=\boxed{x^4-19x^2+244x-928}

Answer B.
8 0
3 years ago
Read 2 more answers
What is the common ratio between successive terms in the sequence 2,-4,-16,32,-64 .....
Anastaziya [24]
The answer is —2
Each number is multiplied by —2 to get the following number in the pattern

Hope this helps and good luck you can do thissss :)
6 0
2 years ago
Suppose Eric and Isaac both drive the same car, and have the same
Leto [7]

Answer:

eric

Step-by-step explanation:

just took the test

5 0
3 years ago
Read 2 more answers
1. 4x– 15 = 17 - 4x+10x<br> Help?
Nadya [2.5K]

Answer:

x=-16

Step-by-step explanation:

4x– 15 = 17 - 4x+10x

4x+4x-10x = 17+15

-2x=32

-x=16

x=-16

7 0
3 years ago
Other questions:
  • What does 3-3*6+2 equal
    15·1 answer
  • Which skier will have a greater potential energy? Skier one is higher then skier two.
    12·2 answers
  • PLEASE ANSWER FAST What is the average of the following two numbers? 5.67 x 10^-21 and 7.24 x 10^-19
    6·1 answer
  • Write <br> 10/17 as a decimal and round to the nearest hundredth.
    15·2 answers
  • you buy two rolls of wrapping paper. each roll has the same lateral surface area. what is the diameter of roll B?
    10·1 answer
  • The ratio of the number of boys to the number of girls at school is 4:5. a. What fraction of the students are boys? b. If there
    7·2 answers
  • sample standard deviation of the breaking strengths of these welds were found to be 94 ksi (thousand pounds per square inch) and
    7·1 answer
  • What is the difference between −5x+7 and 3x−2?
    5·2 answers
  • PLZthere is a graph next to it​
    11·1 answer
  • Will give brainlest <br><br><br> thank you so much
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!