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
Margaret [11]
3 years ago
6

Pls solve no;3a,b,c the picture will begiven thank u​ use trigonometry u solve it

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
8 0

Answer/Step-by-step explanation:

3.a. length of AC.

Hypotenuse = AC

Opposite side to 60° = 7

Therefore, sin(60) = \frac{7}{AC}

AC*sin(60) = \frac{7}{AC}*AC

AC*sin(60) = 7

AC = \frac{7}{sin(60)}

AC = 8.1 (to nearest tenth)

b. Length of BC

Hypotenuse = BC

Opposite side to 50° = 7

Therefore, sin(50) = \frac{7}{BC}

BC*sin(50) = \frac{7}{BC}*AC

BC*sin(50) = 7

BC = \frac{7}{sin(50)}

BC = 9.1 (to nearest tenth)

c. Length of AB

Use the law of sines to find AB

\frac{BC}{sin(A)} = \frac{AB}{sin(C}}

m<C = 180 - (60 + 50) (sum of angles in a triangle) = 70°

m<A = 60°

BC = 9.1

AB = ?

\frac{9.1}{sin(60)} = \frac{AB}{sin(70)}

Cross multiply

9.1*sin(70) = AB*sin(60)

Divide both sides by sin(60)

\frac{9.1*sin(70)}{sin(60)} = \frac{AB*sin(60)}{sin(60)}

\frac{9.1*sin(70)}{sin(60)} = AB

9.9 = AB (nearest tenth)

AB = 9.9

You might be interested in
Four sisters take turns using the computer an equal amount of time each night. They are allowed to use the computer from 4 p.m.
Fed [463]

Answer:

1.5 hours

Step-by-step explanation:

there are 6 hours in between the times of 4 and 10

so 4 sister split up 6 hours equally

to do this, we divide 6 and 4

6/4 = 1.5 hours

each sister can spend 1.5 hours on the computer

7 0
3 years ago
Read 2 more answers
2(-5y + 6) + 2(5 - 3.4s)
Andre45 [30]
I'm going to have to go with →-6.8s - 10y + 22 
5 0
3 years ago
Let x = 6.
Mars2501 [29]

Put the value of x = 6 to the eqpression 5x² + x - 7:

5(6)² + 6 - 7 = 5(36) + 6 - 7 = 180 + 6 - 7 = 179

<h3>Answer: 179</h3>
5 0
3 years ago
Can someone turn 4,971 into a scientific notation
Illusion [34]

We need to divide 4,971 by 10 until its a number less then 10.

4,971 / 10 = 497.1

497.1 / 10 = 49.71

49.71 / 10 = 4.971

Now, 4.971 is less then 10, so, we can write this into scientific notation.

4.971 * 10^?

We need to know what power we add to 10 to get 4,971. We can solve for looking at the number of times we divided. As you can see above, we divided 3 times so that will be the power of 10.

4.971 * 10³

Best of Luck!

6 0
3 years ago
Read 2 more answers
What do you know about a quadratic equation that has the following points (2, 0) and (10, 0)?
Agata [3.3K]

Answer:

C.  The x-coordinate of the vertex must be 6

Step-by-step explanation:

The parabola intercepts the x-axis when y = 0.

Therefore, if the quadratic equation has the points (2, 0) and (10, 0) then the x-intercepts or "zeros" are x = 2 and x = 10.

The x-coordinate of the vertex is the midpoint of the zeros.

\sf \implies midpoint=\dfrac{2+10}{2}=6

Therefore, the solution is option C.

<u>Additional Information</u>

The leading coefficient of a quadratic tells us if the parabola opens upwards or downwards:

  • Positive leading coefficient = parabola opens upwards
  • Negative leading coefficient = parabola opens downwards

We have not been given this information and so therefore cannot determine the way in which it opens.

As we do not know the way in which way the parabola opens, we cannot determine if the parabola will have a negative or positive y-intercept.

We have not been given the full quadratic equation, and so we cannot determine if the parabola is wider (or narrower) than the parent function.

3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the simplified form of x plus 3 over x squared minus x minus 12 ⋅ x minus 4 over x squared minus 8x plus 16 ?
    15·1 answer
  • Bhavik bought 3 liters of milk and 5 loaves of bread for a total of $11. A month later he bought 4 liters of milk and 4 loaves o
    5·1 answer
  • Help!!!! fast!!!!!!!!!!!​
    8·2 answers
  • For what value of x:
    10·1 answer
  • Which unit rate is the lowest price per ounce
    5·1 answer
  • A cyclist is travelling at an average speed of 15km/HR. How long will it take to travel a distance of 52 1/2km
    9·1 answer
  • Please answer this asap!!
    15·1 answer
  • Mae Ling earns a weekly salary of $325 plus a 7.5% commission
    5·1 answer
  • A box of chocolates contains 12.5% caramels. There are 5 caramels in the box. How many pieces of chocolate are in the box?
    8·2 answers
  • What is the answer to this problem I=A–P<br> A=
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!