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
Orlov [11]
3 years ago
10

The hypotenuse of a triangle measures 12 inches, and the measure of one of the acute angles is two less than three times the mea

sure of the other acute angle. What is the area of the triangle? Round your answer to the nearest square inch. (Note: The area of a triangle is 1/2bh, where the base and the height of the triangle are perpendicular).
Mathematics
1 answer:
olga_2 [115]3 years ago
3 0

Answer:

26 sq in.

Step-by-step explanation:

Let x = measure of one acute angle

3x - 2 = measure of other acute angle

Since the triangle is a right triangle, the sum of the measures of the acute angles is 90

x + 3x - 2 = 90

4x - 2 = 90

4x = 92

x = 23

90 - 23 = 67

The acute angles are 23° and 67°

Now, let a = length of side opposite the 23° angle

sin 23 = a/12

a = 12 sin 23

Let b = length of the side opposite the 67° angle

sin 67 = b/12

b = 12 sin 67

Area = 1/2ab = 1/2(12 sin 23°)(12 sin 67°)

                     = 25.90

26 sq in to the nearest inch

Wow!  That is quite the problem.

You might be interested in
3m-10 when m= -3<br> pls explain
Elena-2011 [213]

Answer:

- 19

Step-by-step explanation:

Step 1:

3m - 10    Equation

Step 2:

3 ( - 3 ) - 10  Substitute - 3 for m

Step 3:

- 9 - 10   Multiply

Answer:

- 19   Subtract

Hope This Helps :)

3 0
3 years ago
Read 2 more answers
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up. The
jeka57 [31]

The ladder and the outside wall form a right triangle

The length of the ladder is 97.8 feet

<h3>How to determine the length of the ladder?</h3>

The given parameters are:

Distance (B) = 22 feet

Angle of elevation (θ) = 77 degrees

The length (L) of the ladder is calculated using the following cosine ratio

cos(θ) = B/L

So, we have:

cos(77) = 22/L

Make L the subject

L = 22/cos(77)

Evaluate the product

L = 97.8

Hence, the length of the ladder is 97.8 feet

Read more about right triangles at:

brainly.com/question/2437195

3 0
2 years ago
(x, y) ---&gt; (cx, cy)
Nookie1986 [14]
Do you have another picture?
6 0
2 years ago
Read 2 more answers
The probability of drawing a heart from a standard deck of 52 playing cards is 1 4 . The probability of drawing a face card from
hoa [83]
We need Probability of drawing a heart Or drawing a face card other than a heart. 

This is 1/4 + 9/52  = 11/26
C is the correct choice.
8 0
3 years ago
Read 2 more answers
Will mark brainllest
telo118 [61]

a) The halfway number is \frac{-4.5}{10}.

b) The ascending order is \frac{-1}{2},\frac{-4.5}{10}and \frac{-2}{5}.

<u>Step-by-step explanation:</u>

a)Halfway number is otherwise Middle number.

The halfway number of two numbers = \frac{sum of two numbers}{2}.

The halfway for \frac{-2}{5} and \frac{-2}{5} = \frac{\frac{-2}{5}+ (\frac{-1}{2})}{2}.

=\frac{-2}{5}+ (\frac{-1}{2}).

= \frac{-4-5}{10}.

=\frac{-9}{10}.

∴Halfway =\frac{\frac{-9}{10} }{2}.

=\frac{-4.5}{10}

The halfway for \frac{-2}{5} and \frac{-1}{2}= \frac{-4.5}{10}.

b) The ascending order is \frac{-1}{2},\frac{-4.5}{10}and \frac{-2}{5}.

7 0
3 years ago
Other questions:
  • Solve for n. Please explain if you can
    15·1 answer
  • Help me plz Answer ???
    5·1 answer
  • Describe how to simplify the expression
    8·2 answers
  • I need help with this one too
    10·1 answer
  • 1/6 6% 3/5 60% 6/100 which two values are equivalent to 0.6
    6·1 answer
  • HELP ASAPPPP!!!!!!!
    9·2 answers
  • What is the decimal form of 100/3, 100/5, and100 /6?
    12·2 answers
  • im not really smart i need help bad, i will give you all of my points and brainliest. it would mean alot if you help
    9·1 answer
  • Please help find the top angle
    5·1 answer
  • I need help with this
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!