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
levacccp [35]
3 years ago
10

Find the length of side AB Give answer to 3 significant figures

Mathematics
1 answer:
Rina8888 [55]3 years ago
6 0

Answer:

AB = 8.857 cm

Step-by-step explanation:

Here, we are given a <em>right angle</em> \triangle ABC in which we have the following things:

\angle A = 90 ^\circ\\\angle C = 41 ^\circ\\\text{Side }BC = 13.5 cm

Side <em>BC </em>is the hypotenuse here.

We have to find the side <em>AB</em>.

Trigonometric functions can be helpful to find the value of Side AB here.

Calculating \angle B:

Sum of all the angles in \triangle ABC is 180^\circ.

\Rightarrow \angle A + \angle B + \angle C = 180^\circ\\\Rightarrow 90^\circ + \angle B + 41^\circ = 180^\circ\\\Rightarrow \angle B = 49^\circ

We know that <em>cosine </em>of an angle is:

cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\Rightarrow cos B = \dfrac{AB}{BC}\\\Rightarrow cos 49^\circ = \dfrac{AB}{13.5}\\\Rightarrow AB = 13.5 \times 0.656\\\Rightarrow AB = 8.857 cm

So, side AB = 8.857 cm .

You might be interested in
Which is the greatest value A.two and hundredhs B.two and five thousandths C.two and five tenths
Firdavs [7]

Answer:

Two and hundredths

Step-by-step explanation: I'm in college so I think I am capable of answering a middle school question thank you very much, and make sure to mar me brainliest.

7 0
3 years ago
Which of the ordered pairs in the form (x, y) is a solution of this equation?
Tju [1.3M]

Answer:

Both ordered pairs are solutions to this equation.

Step-by-step explanation:

If you plug in the x and y values given in the ordered pair, you make the left side of the equation equal the right for both pairs.

6 0
3 years ago
Solve for p. <br><br> i = prt<br><br> p = i-rt<br> p = i/(rt)<br> p = (rt)/i
Debora [2.8K]

Answer:

<h2>p = (rt)/i</h2>

Step-by-step explanation:

i=prt\to prt=i\qquad\text{divide both sides by}\ rt\neq0\\\\\dfrac{prt}{rt}=\dfrac{i}{rt}\\\\p=\dfrac{i}{rt}

5 0
3 years ago
Express in trigonometric form PLEASE... -6+6 sqrt. 3i
Alenkinab [10]

Answer:

6sqrt2(cos(-5pie/4)+isin(-5pie/5))

Step-by-step explanation:

8 0
3 years ago
A basket ball player makes 12 out of 15 free throws. What is his shooting percentage?
anyanavicka [17]

Answer:

80%

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Write a polynomial function in factored form with zeros at −2, 5, and 6.
    11·1 answer
  • If you jogged a trail that is 3/4 mile long and jogged 1/6 of a hour What would be the unit rate per mile
    7·1 answer
  • Quantos divisores naturais tem o número 1800?
    12·1 answer
  • What is the simplified form of this expression, written in scientific notation?
    14·1 answer
  • A square with side lengths of 3x + 3. An equilateral triangle with side lengths of 5 x + 0.5. The perimeters of the square and t
    15·2 answers
  • Can someone please also help me with this? <br> q^2+q+5pq+5p
    9·1 answer
  • CHECK MY ANSWERS PLEASE
    7·1 answer
  • The values of angles, and a
    13·1 answer
  • A production facility employs 10 workers on the day shift, 8 workers on the swing shift, and 6 workers on the graveyard shift. A
    8·1 answer
  • SOMEONE PLEASE HELP ME I WILL GIVE BRAINLIST TO THE PERSON WHO GIVES ME THE CORRECT ANSWER
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!