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
statuscvo [17]
3 years ago
8

In △ABC , m∠A=53°,m∠B=17°, and a=27. Find the perimeter of the triangle.

Mathematics
1 answer:
sdas [7]3 years ago
6 0
Using the Law of Sines  (sinA/a=sinB/b=sinC/c) and the fact that all triangles have a sum of 180° for their angles.

The third angle is C is 180-53-17=110°

27/sin53=b/sin17=c/sin110

b=27sin17/sin53, c=27sin110/sin53

And the perimeter is a+b+c so

p=27+27sin17/sin53+27sin110/sin53 units

p≈68.65 units  (to nearest hundredth of a unit)
You might be interested in
22 gallons of gas cost $65.56. What is the unit rate for 1 gallon of gas?
Vika [28.1K]
It’s 2.98 explanation:you divide $65.56 and 22.
4 0
3 years ago
Read 2 more answers
Solve for x <br> This is also an octagon if it helps!
Karo-lina-s [1.5K]

Answer:

x = 10

Step-by-step explanation:

it has 8 sides so:

total interior angle degrees = (180° x 8 sides) - 360° = 1080°

11x + 14 + 4x + 87 +2x + 70 + 4x + 31 + x + 92 + 3x + 167 + 5x + 48 + 2x + 251 = 1080°

combine like terms:

32x + 760° = 1080°

subtract 760° from both sides of the equation:

32x = 320°

divide both sides by 32:

x = 10

8 0
3 years ago
HELP PLEASE
mel-nik [20]

Answer:

4 weekdays and 2 weekends.

Step-by-step explanation:

6 days.

x = weekdays

y = weekends

7x = amount with weekdays

12y = amount with weekends

7x + 12y = 52, total

x + y = 6, amount of days

solve double variable equation

x = 6 - y, plug in to 1st equation

7(6 - y) + 12y = 52

42 - 7y + 12y = 52

5y = 10

y = 2 weekends

2 + x = 6

x = 4 weekdays

6 0
2 years ago
a group of five people go out to eat and buy appetizers and main dishes they decide to split the bill so each person pays 20% of
alexandr1967 [171]
5 people x $5 appetizers = $25
5 people x $10 main dish = $50
Total cost for the group of 5 = $75

$75 - 20% (.2) = $15 each person has to pay

Check ur work
$15 x 5 = $75



3 0
3 years ago
7. Cindy is paid $7.00 an hour for a regular 35-hour week. She receives overtime pay
Sergio [31]

Answer:$1 she’s poor

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Alondra wants to buy a proud
    14·2 answers
  • Is 5/7 greater than 1/8?
    13·2 answers
  • Suppose a basketball player has made 217 out of 302 free throws. If the player makes the next 3 free throws, I will pay you $23.
    8·1 answer
  • Target sells 24 bottles of water for $3, and 36 bottles of water for $4. Which is the better buy and by how much?
    7·1 answer
  • Mr. Smith has an online cooking show. Before he films an episode about baking the perfect pound cake, he prepares his ingredient
    14·1 answer
  • Change each of the following points from rectangular coordinates to spherical coordinates and to cylindrical coordinates.
    8·1 answer
  • What is the scale factor of this dilation?
    14·2 answers
  • <img src="https://tex.z-dn.net/?f=y%3Dx%2B3y%3Dx-1" id="TexFormula1" title="y=x+3y=x-1" alt="y=x+3y=x-1" align="absmiddle" class
    13·1 answer
  • 64 = 32%, how much is 38%?
    7·2 answers
  • What is 1 1 /2 x / 4 1/4<br> A. 4 1/8<br> B. 4 3/4<br> C. 6 3 /8<br> D. 5 1/4
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!