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
nikitadnepr [17]
2 years ago
15

Analyze the diagram below and complete the instructions that follow. Find a, b, and c.

Mathematics
1 answer:
ahrayia [7]2 years ago
5 0

Answer:

<u>The correct answer is the letter C. </u>

Step-by-step explanation:

We can use the following trigonometric identity:

cos(60)=\frac{6}{b} (1)

cos(45)=\frac{c}{b} (2)

Solving each equation by b and equaling we have:

\frac{6}{cos(60)}=\frac{c}{cos(45)}

\frac{6}{cos(60)}=\frac{c}{cos(45)}

Let's recall that:

cos(45)=\frac{1}{\sqrt{2}}

cos(60)=\frac{1}{2}

Then we have:

c=\frac{cos(45)*6}{cos(60)}

c=\frac{2*6}{\sqrt{2}}

c=\frac{12}{\sqrt{2}}

c=6\sqrt{2}

Using equation (1) we can find b.

cos(60)=\frac{6}{b}  

b=12      

Finally, we can find a using the next equation:

tan(60)=\frac{a}{6}

a=6*tan(60)

a=6\sqrt{3}

<u>Therefore, the correct answer is the letter C. </u>

I hope it helps you!

You might be interested in
2.1 , - 6/10 , -9/4 , -0.75 , 5/3 , least to greatest
WINSTONCH [101]

Answer:

-9/4, -0.75, -6/10, 5/3, 2.1

Step-by-step explanation:

This is a lot easier to figure out if you simplify the fractions and then change them to decimals

So -9/4 = -2 1/4 or -2.25

-0.75

-6/10 = -0.60

5/3 = 1 2/3 or 1.67

2.1

When you are ordering negatives, the biggest negative is the least. That is why -9/4 (-2.25) is the least number out of the five given.

The next one would be -0.75, because it is the second biggest negative fraction.

The next one is -0.60 because that is the 3rd biggest negative fraction (or the smallest because this is the last negative)

Now, because we're in the positives we start with 1.67, because it is smaller than the other number.

2.1 is our last number, so it is the greatest!

I hope this helped :)

6 0
3 years ago
Eight 5 bills are worth 40
dmitriy555 [2]

Answer:

what is the question

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Happy Monday Everybody<br><br><br> Free 100 points no joke
alina1380 [7]

Answer:

Happy Monday to you too

Step-by-step explanation:

thx for the point

6 0
3 years ago
Read 2 more answers
What is the product of the binomals below (2x+3) (3x+3)
Korvikt [17]

Answer:

3*(2x+3)*(x+1)

Step-by-step explanation:

pull like terms from the problem to re-arrange it into a product

\left(2x+3\right)\left(3x+3\right)\\3x + 3  =   3 \cdot (x + 1)\\3 \cdot (2x + 3) \cdot (x + 1)\\

5 0
2 years ago
The area of this rectangle is 3x2 what does the coefficient 3 mean in term of the problem
tangare [24]
By definition, the area of a rectangle is given by:
 A = (w) * (l)
 Where,
 w: width
 l: long
 For this case, we have that the area is given by:
 A = (3) * (2)
 Therefore, in terms of this problem, the coefficient 3 represents one of the dimensions of the rectangle.
 Answer:
 
The coefficient represents one of the dimensions of the rectangle.
7 0
3 years ago
Other questions:
  • Evaluate the expression: -|-14| HELPPPPPPPPPP!!!!!! (its worth all my points!!) ( ik its sad
    12·1 answer
  • Graph f(x)=|x−2|+3 .<br><br> Use the ray tool to graph the function.
    7·1 answer
  • Which of the following are remote interior angles of 1? Check all that apply.
    14·2 answers
  • A carpenter is making a shelf in the shape of a parallelogram. She begins by drawing parallelogram RSTU on a coordinate plane wi
    12·1 answer
  • Charles is on a 8 1/2 mile bike ride. He stops for a rest after he’s gone 5 2/5 miles. How much farther does he still have to go
    7·2 answers
  • PLEASE ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!
    7·1 answer
  • What inverse operations do you use to solve for b?<br><br> -9 = -11 + b/8
    15·1 answer
  • 120 children go on a holiday. The ratio of the number of girls to the number of boys is 3:5. On Sunday, all the children either
    10·1 answer
  •  listen
    15·2 answers
  • A recipe for chocolate chip cookies calls for 1 1/4 cups of flour .If you are making 2 1/4 recipes,how many cups of flour are ne
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!