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
Flura [38]
3 years ago
5

Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 12 centimeters, the length of C B is 9.8

centimeters, and the length of A C is 6.9 centimeters.
Which expressions can be used to find m∠BAC? Select three options.

Mathematics
1 answer:
RSB [31]3 years ago
3 0

Answer: We can find angle BAC by using (1) SinA = 9.8/12

(2) CosA = 6.9/12

(3) TanA = 9.8/6.9

Step-by-step explanation: The question indicates that we have a right angled triangle ABC with the right angle at point C (that is, angle ACB is the right angle). Also the three sides have been labeled as AB equals 12 cm, CB equals 9.8 cm and AC equals 6.9 cm. Line AB has been identified as the hypotenuse and angle A (that is, BAC) is the reference angle. If angle A is the reference angle, then line CB facing angle A shall be the opposite side, while line AC is the adjacent (which lies between the reference angle and the right angle). Please see the attached diagram for details.

Having these details available, we can actually find angle A by using any of the three trigonometric ratios, since all three sides are given. Hence,

SinA = opposite/hypotenuse

SinA = 9.8/12

SinA = 0.8167

Checking with your calculator or table of values, A = 54.76 (approximately 55)

Also CosA = adjacent/hypotenuse

CosA = 6.9/12

CosA = 0.5750

Checking with your calculator or table of values A = 54.90 (approximately 55).

Finally TanA = opposite/adjacent

TanA = 9.8/6.9

TanA = 1.4203

Checking with your calculator or table of values A = 54.83 (approximately 55).

You might be interested in
Lisa sold her old bike for $140 less than she paid for it. She sold the bike for $85. Write and solve and equation to find how m
rodikova [14]

Answer:

Equation=$140+$85=$225

Step-by-step explanation:

If she sold her bike for $140 less than she paid for it, and she sold it for $85, you add 140 to 85 to get out much she paid for. To check your answer do 225-140=85.

4 0
3 years ago
Answer pls I would really appreciate your help
tester [92]

Answer:

I think A

Step-by-step explanation:

srry if wrong

i hope this helps tho

3 0
3 years ago
Blake and James are planning to go on a trip. Blake already has some money saved. She earns $96 more by working overtime. James
rosijanka [135]

Blake saved \bold{\$ 433.80}

Option - A

<u>SOLUTION: </u>

Given, Blake and James are planning to go on a trip.  

Blake already has some money saved.  

Let the amount saved by Blake be \$ n.

She earns \$96 more by working overtime.  

Then, total amount by Blake =\$(n+96)

James has \$ 53 more than 4 times the amount of money that Blake has saved.  

Then, total amount by James will be \$ 53+4 \times \$ n=\$(4 n+53)

If they have \$2,318 in all, we have to find how much money had Blake originally saved

Now, total amount = \$2318

\begin{array}{l}{\rightarrow \text { Amount by Blake }+\text { amount by James }=2318} \\\\ {\rightarrow \mathrm{n}+96+4 \mathrm{n}+53=2318 \rightarrow 5 \mathrm{n}+149=2318 \rightarrow 5 \mathrm{n}=2318-149 \rightarrow 5 \mathrm{n}=2169 \rightarrow \mathrm{n}=433.8}\end{array}

7 0
3 years ago
YALL PLEASE PLEASE DIS A TEST!!
ollegr [7]
The answer would be 7 becuase if rounded
3 0
3 years ago
In a box there are 50 counters :white ones,blue ones and red ones .There are eleven times as many white ones as blue ones.There
lions [1.4K]

Answer:

Find the question mark using the model I've provided and that'll be the answer!

4 0
3 years ago
Read 2 more answers
Other questions:
  • (X+3) (X-2) Standard form.<br><br> Please show steps.
    8·1 answer
  • Sum of 1.08, 2.16, and .003
    9·1 answer
  • Bart lives 6 blocks from his grandparents. Melinda lives 8 blocks farther from her grandparents as bart does. How many blocks do
    12·1 answer
  • How many ounces of nuts are there in a box that holds 3.2 pounds
    5·1 answer
  • A patient weighs 93 pounds (lb). Meperidine hydrochloride is ordered for pain at a dosage of 6 milligrams (mg) per kilogram of b
    7·1 answer
  • 4x - 2y = -14<br> 3х - у = -8
    6·1 answer
  • 3. Two numbers are in the ratio 3:5. If their difference is 12, what are the numbers?​
    13·1 answer
  • What is the sum<br><br> 56+90=_____
    5·2 answers
  • 12-km run. How many miles is the run?
    11·2 answers
  • Teenagers were asked what type of book they prefer to read. There were 18 teenagers who prefer e-books and 7 teenagers who prefe
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!