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
slamgirl [31]
3 years ago
14

a=13 c=15 A=53 Two sides and an angle​ (SSA) of a triangle are given. Determine whether the given measurements produce one​ tria

ngle, two​ triangles, or no triangle at all. Solve each triangle that results.
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
7 0

Answer:

The given measurement will produce only 1 triangle

Step-by-step explanation:

Given:

a = 13

c = 15

∠A = 53°

now, applying the law of sine, we have

(a/sinA) = (c/sinC)

on substituting the values, we get

(13/sin53°) = (15/sinC)

or

sinC = 0.921

or

C = 67.14°

also, sum of all the angles of a triangle = 180°

thus,

∠A + ∠B + ∠C = 180°

53° + 67.14° + ∠B = 180°

or

∠B = 59.85°

now,

again applying the law of sine, we have

(a/sinA) = (b/sinB)

on substituting the values, we have

(13/sin53) = (b/sin59.85°)

or

b = 14.07

now, we have all the dimension of the triangle and have obtained the unique values,

Therefore, the given measurement will produce only 1 triangle

You might be interested in
A three-centimeter cube has been painted red on all sides. it is cut into one centimeter cubes. how many cubes will be there wit
Likurg_2 [28]

There will be only 6  cubes with only one side painted red.

Cube : A cube is a 3D shape having 6 equal square sides. it has 6 faces , 8 vertices and 12 edges.

According to the question

A 3 cm cube is divided into one centimeter cube.

Every face will have 9 cube each and from that 9 cube there will be only one 1 cube that will have one side painted red.

Since there are 6 faces,

cubes painted one side red = 6x1=6.

Therefore , There will be only 6  cubes with only one side painted red.

Learn more about Cube here brainly.com/question/14619542

#SPJ4

7 0
1 year ago
−8 3/4÷2 1/6 please show me ur work
nalin [4]

Answer:

  • - 4 1/26

Step-by-step explanation:

<u>Solving in steps:</u>

  • - 8 3/4 ÷ 2 1/6 =
  • - 35/4 ÷ 13/6 =
  • - 35/4 × 6/13 =
  • - 35/2 × 3/13 =
  • - 105/26 =
  • - 4 1/26
6 0
3 years ago
-4r &lt; 22<br><br> Can someone help with this inequality?
svp [43]
Lol u thought I was writing an answer hahahaha
8 0
3 years ago
The total number of cats and dogs at the shelteris 125. there are 5 more cats than dogs
juin [17]
If you're looking for the number of dogs (I'm assuming, you didn't specify), all you'd have to do is divide the number by two, then round down to find the number of dogs, then check your answer by adding that number and that number plus 5.

For example, yours would look like 125/6=62.5, and rounding down to 60.

Then check your answer by adding 60 and 65, the number of cats. 60+65=125.

There are 60 dogs inside the kennel.
5 0
3 years ago
Taxation without representation is tyranny.
jek_recluse [69]
James Otis made this statement because he <span>believed American colonists should be able to vote in Parliament. The correct option among all the options that are given in the question is the third option or option or the penultimate option. I hope that this answer has come to your help.</span>
3 0
3 years ago
Read 2 more answers
Other questions:
  • 1/5 of the passengers on a bus are young adults and 2/3 of them are children. The remaining passengers are senior citizens. What
    5·1 answer
  • The 240 ninth-graders at a high school are divided into homeroom groups of 10 or 12 students. This equation models the
    9·1 answer
  • Write the ratio in three different formats:a to b, a:b, and a/b.
    15·1 answer
  • a store clerk has 45 shirts to pack in boxes. each box hold 6 shirts. what is the fewest boxes the clerk will need to pack all t
    6·2 answers
  • I have another Brainliest reward
    14·1 answer
  • Plz, help ASAP!!!!!!!
    11·1 answer
  • What number would go in the blank? 4 x 6 = 6 x ___<br> 6<br><br> 4<br><br> 10
    13·1 answer
  • While in France, Judy wants to sign up for a bike tour to see the countryside. She likes a tour that is 40 kilometers long, but
    15·1 answer
  • 57:53
    5·2 answers
  • For each value of u, determine whether it is a solution to 2+9u&lt;-16.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!