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
ser-zykov [4K]
3 years ago
9

A triangle has sides of length 2, 2, and 3. Which of the following is the measure of the obtuse angle of the triangle?

Mathematics
1 answer:
kramer3 years ago
7 0

Answer:

97.18^{\circ}

Step-by-step explanation:

An obtuse angle in the triangle is opposite to the greatest side. The greatest side in the triangle with sides lengths 2, 2 and 3 is side with length 3. By the cosine rule,

3^2=2^2+2^2-2\cdot 2\cdot 2\cdot \cos \alpha,\\ \\9=4+4-8\cos \alpha,\\ \\-8\cos \alpha=9-4-4=1,\\ \\\cos \alpha=-\dfrac{1}{8},\\ \\\alpha\approx 97.18^{\circ}.

You might be interested in
I need help on this and the first person who answer correctly gets a BRANLIST​
Alborosie

Answer:

It would be D

Step-by-step explanation:

All the coordinates are divided by half.

6 0
2 years ago
A bowl contains 8 blue marbles and 5 green marbles. Elizabeth randomly draws 4 marbles from the bowl. She does not replace the m
Mrrafil [7]
Probability ( 1 blue marble and 3 green marbles) = ( Blue, green, green, green) + ( green, blue, green, green) + ( green, green, blue, green) + ( green, green, green, blue) = { (8/13) × (5/12) × (4/11) × (3/10) } + { (5/13) × (8/12) × (4/11) × (3/10) } + { (5/13) × (4/12) × (8/11) × (3/10) } + { (5/13) × (4/12) × (3/11) × (8/10) } = (4/143) + (4/143) + (4/143)+ (4/143) = 16/143 If the answer does not correspond to yours, do tell me. I'll try to correct mine
6 0
3 years ago
Read 2 more answers
At a store , 24 bottles of water and 6 bags of chips costs $23.40. Five bottles of water and two bags of chips cost $6.60. What
vagabundo [1.1K]
24w+6c=$23.40

5w+2c=$6.60

So you have to find c (chips) first. You have to make the number of chips in both equations cancel each other.

-3(5w+2c)=-3($6.60)
-15w-6c=$-19.80

Then subtract to get one formula
24w + 6c = $23.40
-15w - 6c = $-19.80

9w = $3.60
w=$.40

To check your answer, find how much one bag of chips costs:
5($.40) + 2c = $6.60
$2.00 + 2c = $6.60
2c = $4.60
c=$2.30

Plug your value for one water and one bag of chips into the formula:
5($.40) + 2($2.30)
$2.00 + $4.60
=$6.60

Then plug your values into the original problem:
24($.40) + 6($2.30)
$9.60 + $13.80
=$23.40
4 0
3 years ago
Read 2 more answers
Which of the following equations are linear? (choose all that apply)
lions [1.4K]

Answer:

yes

Step-by-step explanation:

yes y = 2x + 1

yes 5x = 6 + 3y

yes y/2 = 3 − x

7 0
3 years ago
Which of the following expressions is equal to -20​
Lyrx [107]

Answer:

no expression is equal to -20

7 0
2 years ago
Other questions:
  • An item is regularly priced at
    5·1 answer
  • Can someone please help with this question
    5·1 answer
  • Tell which property the statement illustrates 5•p=p•5
    15·1 answer
  • Need help with number 50 plz
    7·1 answer
  • -4x + 6 = 3x - 36<br><br> How do I solve this
    12·2 answers
  • Several years​ ago, 38​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
    12·1 answer
  • PLS HELP ME W QUESTIONS 9 AND 10
    8·2 answers
  • As more and more people get their news online, the subscriptions to the Dorchester Daily has declined over the past years.
    5·1 answer
  • -answer fast- please
    9·1 answer
  • WILL GIVE BRAINLIEST
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!