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
Nataly [62]
3 years ago
9

Using the triangle pictured, find the measure of side AB. Round your answer to the nearest tenth. A) 1.6 B) 2.2 C) 2.7 D) 3.3

Mathematics
1 answer:
Yuki888 [10]3 years ago
6 0

Answer:

Option B (AB = 2.2 units).

Step-by-step explanation:

The diagram shows that there are two sides given and one angle is given. Therefore, the sine rule must be used to solve the question. The sine rule can be written as:

sin ABC / AC = sin BAC / BC.

Plugging ABC=72 degrees, AC=2.5, and BC=2.1 in the sine rule gives:

sin 72 / 2.5 = sin BAC / 2.1.

Cross multiplying gives:

sin BAC = (2.1*sin 72)/2.5.

sin BAC = 0.79888747368.

Taking sin inverse on both sides gives:

BAC = arcsin (0.79888747368) = 53.0239949 degrees.

To find AB, first, the angle ACB is required. To find that angle, use the triangular law of angles. All the three angles sum up to 180 degrees. Therefore ACB = 180 - 72 - 53.0239949 = 54.9760051  degrees.

Now applying the Sine Rule to find AB:

sin ACB / AB = sin ABC / AC.

sin (54.9760051) / AB = sin 72 / 2.5.

AB = (2.5*sin (54.9760051))/sin (72) = 2.2 (to the nearest tenth).

Therefore, AB = 2.2 units, i.e. Option B!!!

You might be interested in
Alybia was making 115 cookies for a Valentine’s Day party. They were each either red or purple. Forty percent of the cookies wer
NeTakaya

Answer:

69 purple cookies!

Step-by-step explanation:

7 0
2 years ago
Please will give brainliest!!!!!!!!!!!!!!!!!!!!
inessss [21]

Answer:

I would say 0 but i wouldnt trust me im so srry Im trying to answer as many as I can if its wrong, report me im sorry

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What's the answer for 3/4 (x+3)=9
Vitek1552 [10]
We want to solve the equation :

\displaystyle{  \frac{3}{4}(x+3)=9


first, multiply both sides by 4:

\displaystyle{ \cancel{4} \cdot \frac{3}{ \cancel 4 }(x+3)=4\cdot 9

\displaystyle{ 3(x+3)=36


divide both sides by 3:

x+3=12


add -3 to both sides:

x=9



Answer: x=9
3 0
3 years ago
I need help with Which table shows the correct methods used to justify the solution steps?
12345 [234]

Answer:

x = 8

Step-by-step explanation:

3 (x - 5) + 7x = 65

3x - 15 + 7x = 65

10x - 15 = 65

10x = 80

x = 8

5 0
2 years ago
Read 2 more answers
In a recent survey 7 out of 10 people prefer coffee in the morning the rest said they prefer tea if 27 people said they prefer t
prohojiy [21]
<span>To find the answer to this equation, use the result of "27 people" who prefer tea. This is equivalent to 3 out of 10 people in the whole survey sample. Using equivalent fractions to find the total sample, we see that "3/10 = 27/x." Multiplying 3 by 9 gives 27, so multiplying 10 by 9 gives a total sample size of 90 people.</span>
8 0
3 years ago
Other questions:
  • Walter sees a sign on a store window announcing a 25 percent discount on a minimum purchase of $500. What type of discount is th
    13·2 answers
  • What is the area of a semicircle with diameter 8 cm?
    13·1 answer
  • Which equation is represented by the graph below?
    13·1 answer
  • What is the answer to 3/5q=1
    5·2 answers
  • 3. Which number is a perfect square?<br> A 249<br> C 265<br> B 256<br> D 281
    11·1 answer
  • Answer this math problem please
    10·1 answer
  • Please I need help with this question: 2 + 2d &gt; 6
    6·2 answers
  • Hi anyone bored here?​
    8·2 answers
  • Can someone help I have to hand this in
    5·2 answers
  • NEED URGENT HELP
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!