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
Andrew [12]
2 years ago
10

Triangle OBC is a right triangle drawn on a coordinate plane. Side OC lies on the x-axis, the coordinates of point O are (0, 0),

and the coordinates of point B are (6, 8).
sin ∠BOC =
tan ∠BOC =

Mathematics
1 answer:
Rudik [331]2 years ago
3 0
Long leg = 8 → opposite
short leg = 6 → adjacent
hypotenuse = ?

8² + 6² = c²
64 + 36 = c²
100 = c²
√100 = √c²
10 = c

sin ∠BOC = opposite / hypotenuse
sin ∠BOC = 8 / 10 
sin ∠BOC = 0.80

tan ∠BOC = opposite / adjacent
tan ∠BOC = 8 / 6
tan ∠BOC = 1.33

You might be interested in
I really need help with this question, pls help!!
Marrrta [24]

Answer:

Step-by-step explanation:

Here the average rate of change would be

                  f(6) - f(1)      162 - (-8)

a. r. of c. =  ----------- = ------------------ = 154/5 = 308/10 = 30.8 or 30 8/10

                      6-1                  5                     or  30 4/5

6 0
3 years ago
Which of the following functions represents a cell phone bill if there is a monthly charge of 20 dollars plus 6 cents for each m
pychu [463]

Answer:

f(x)=20+0.06x

Step-by-step explanation:

3 0
3 years ago
AC = <br> Round your answer to the nearest hundredth.
dusya [7]

Answer:

AC ≈ 5.03

Step-by-step explanation:

We can solve the problem above using the trigonometric ratio, they are;

SOH CAH TOA

sin Ф = opposite / hypotenuse

cosФ= adjacent/ hypotenuse

tan Ф = opposite / adjacent

From the diagram above, in reference to angle B;

opposite =AC     and   adjacent =BC

Since we have opposite and adjacent, the best formula to use is

tanФ = opposite / adjacent

tan B = AC  / BC

tan 40 =  AC/ 6

Multiply both-side of the equation by 6

6× tan 40   =  AC/ 6  ×  6

At the right-hand side of the equation, 6 will cancel-out 6 leaving us with just AC

6×tan 40 = AC

5.034598  = AC

AC ≈ 5.03   to the nearest hundredths

4 0
3 years ago
Select the equivalent expression. <br><br> A, B or C?
Alina [70]

Answer:

  A

Step-by-step explanation:

The relevant rules of exponents are ...

  (a^b)^c = a^(bc)

  a^-b = 1/a^b

__

  \left(\dfrac{2^{-10}}{4^2}\right)^7=\dfrac{2^{(-10)(7)}}{4^{(2)(7)}}=\dfrac{2^{-70}}{4^{14}}\\\\=\boxed{\dfrac{1}{2^{70}\cdot 4^{14}}}

6 0
3 years ago
Solve the equation below<br> Explain your steps<br> .<br> Show your math work<br> 2(3x + 4) = 4x + 2
lisabon 2012 [21]

Answer:

x = -3

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • 3x+4(x-8)-14 evaluate for x=11
    14·2 answers
  • Can you prove the two triangles congruent? By which postulate?
    13·1 answer
  • Given that 2x+7=27 and 3x+1=28, does 2x+7=3x+1?
    13·2 answers
  • Find the mean of the data set. –6 3 –2 6 7 –3 –5
    5·1 answer
  • ^^^ 30 points I need help with this problem!
    5·1 answer
  • Assume x=x(t) and y=y(t). Find dx/dt if x^2(y-6) = 12y + 3 and dy/dt = 2 when x = 5 and y = 12
    7·1 answer
  • What is 7 times 1 reminder 2?
    5·2 answers
  • Mr. Hopkins has a 1-meter wire he is using to make clocks. Each fourth meter is marked off and
    6·1 answer
  • Solve for c.<br><br> c - 7 = -9
    12·2 answers
  • A parallelogram has a base of 6.1 meters and a height of 3.6 meters. What statements are true about the area of the parallelogra
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!