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
Minchanka [31]
3 years ago
15

Find the Length of AC. Round answers to the nearest hundredth (2 decimal places)

Mathematics
1 answer:
lara31 [8.8K]3 years ago
5 0

Answer:

32.78

Step-by-step explanation:

Assuming that we have two right triangles joined together, with one having adjacent side a, with a side of 12 ft opposite reference angle 30°, and the other one having adjacent side b, with a side of 12 ft opposite reference angle 45°. Thus, a + b = length of AC.

Let's find a and b.

Finding a:

Reference angle = 30°

Opp = 12 ft

Adj = a

Using trigonometric ratio formula, we have:

tan(30) = 12/a

Multiply both sides by a

a*tan(30) = 12

Divide both sides by tan(30)

a = 12/tan(30)

a = 20.78 (nearest hundredth)

Finding b:

Reference angle = 45°

Opp = 12 ft

Adj = b

Using trigonometric ratio formula, we have:

tan(45) = 12/b

Multiply both sides by a

b*tan(45) = 12

Divide both sides by tan(45)

b = 12/tan(45)

a = 12

Length of AC = 20.78 + 12 = 32.78

You might be interested in
Find the area of the composite figure
stellarik [79]

Answer:

Wheres is the figure?

Step-by-step explanation:

4 0
3 years ago
Please help will give 50points
Lady bird [3.3K]

Answer:

its 10...

Step-by-step explanation:

3 0
2 years ago
Someone help please!!!
Bad White [126]

Answer:

A. P - Q

Step-by-step explanation:

Q(x) = (x³ + 2x² + 3)(x² -2)

= x⁵ - 2x³ + 2x⁴ - 4x² + 3x² - 6

P - Q = (x⁵ - 2x³ + 2x⁴ - 4x² + 3x² - 6) - (x⁴ + 3x³ + 2x² - x + 2)

P - Q = x⁵ - x⁴ + 2x⁴ - 3x³ - 2x³ - 2x² - 4x² + 3x² + x - 2 - 6

P - Q = x⁵ + x⁴ - 5x³ - 3x² + x - 8

7 0
3 years ago
(01.01) Kisha and Rae are asked to solve −5x − 14 = 2x + 7. Identify where one of them made an error.
lora16 [44]
It's A. 
Rae made the error when she added 7. 
the equation should be:
<span>-14 - 7 = 7x + 7 - 7 </span>
3 0
3 years ago
Read 2 more answers
PLEASE HELP ILL GIVE BRAINLEIST
Ede4ka [16]

Answer:

$427.72

Step-by-step explanation:

32/100×$629

=$201.28

$629-$201.28

=$427.72

or

100-32

=68

68/100×$629

=$427.72

6 0
3 years ago
Other questions:
  • What is the unit rate and price of the graph
    8·1 answer
  • What is 8/15 reduced
    7·2 answers
  • 7 An outfielder throws a baseball toward the infield at an angle of 25 degrees to the horizontal. The initial velocity of the th
    13·1 answer
  • Write a compound inequality that represents the situation:
    6·2 answers
  • Which equation could have the graph shown below?
    5·1 answer
  • What is 5x + 1 - 2x - 3?
    7·1 answer
  • NEED HELP ASAP
    8·2 answers
  • Solve -2t + 5 ≥ -7.<br><br> t ≥ -6<br> t ≤ -6<br> t ≥ 6<br> t ≤ 6
    12·1 answer
  • What is the difference between the highest and lowest temperature in the list below;
    12·1 answer
  • A Community theater sold 63 tickets to the afternon fora total of 444 birr, an adult ticket Cost 8 birr achild ticket cost 4 bir
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!