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
Marat540 [252]
3 years ago
14

Point b has coordinates (3,-4) and lies on the circle whose equation is x^2 + y^2= 25. If angle is drawn in a standard position

with its terminal ray extending through point b, what is the sine of the angle?
Mathematics
1 answer:
lakkis [162]3 years ago
3 0
<span>Point B has coordinates (3,-4) and lies on the circle. Draw the perpendiculars from point B to the x-axis and y-axis. Denote the points of intersection with x-axis A and with y-axis C. Consider the right triangle ABO (O is the origin), by tha conditions data: AB=4 and AO=3, then by Pythagorean theorem:
</span>
<span>BO^2=AO^2+AB^2 \\ BO^2=3^2+4^2  \\ BO^2=9+16  \\ BO^2=25  \\ BO=5.
</span>
{Note, that BO is a radius of circle and it wasn't necessarily to use Pythagorean theorem to find BO}
<span>The sine of the angle BOA is</span>
\sin \angle BOA= \dfrac{AB}{BO} = \dfrac{4}{5} =0.8

Since point B is placed in the IV quadrant, the sine of the angle that is <span> drawn in a standard position with its terminal ray will be </span>
<span /><span>
</span><span>
</span>\sin \theta=-0.8 .





You might be interested in
Are these ratios equivalent?
Aliun [14]

Answer:

No

Step-by-step explanation:

if im wrong forgive me if im right please mark brainleast

8 0
3 years ago
There are 158 people singed for a pie-making class They will be divided into groups. Each group will have 15. About how many gro
Reil [10]

they formed 11 groups

7 0
3 years ago
Read 2 more answers
What is the value of f(16) - f(0) when f(x) = 4x - 8?
levacccp [35]
That would be 4(16) - 8 - (4(0) - 8) = 64 - 9 - 0 + 8 = 63 Answer
5 0
3 years ago
Read 2 more answers
A person takes up 24 inches of space on a stadium bleacher. If one row of bleachers is 150 feet long and there are 20 rows of bl
Feliz [49]

Answer:

1,500 people

Step-by-step explanation:

Remember that

1\ ft= 12\ in

Convert ft to in

150\ ft=150*12=1,800\ in

<em>Divide the length of a row by the space occupied by one person</em>

1,800/24=75\ persons

<em>Multiply by the number of rows to determine the total people that can fit into the stands</em>

75(20)=1,500\ people

3 0
3 years ago
Which statement best explains why the equation X +2=3x-14 can be used to slice for x ?
Mariana [72]

Answer:

x would be equal on both sides so if you use that equation you'll find x and be able to solve for both sides

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Find the volume in cm³ of a length of pipe which has these measurements. Volume of a cylinder = πr²h π = 3.14.
    9·2 answers
  • A lorry driver charges $1800 to carry 60 tonnes of weight. How much will he charge for carrying 80 tonnes at the same rate
    10·2 answers
  • Drag each equation to show if it could be a correct first step to solving the equation
    15·1 answer
  • Can someone help me plz on this. I don't understand ​
    12·1 answer
  • You want to to buy the PlayStation 5 and it is listed as $449.99 in all the stores
    9·1 answer
  • The local public transport authority is conducting research into commuter behaviour. A previous census indicated that the mean c
    5·1 answer
  • I need help please help
    6·1 answer
  • FIRST CORRECT ANSWER WILL GET BRAINLIEST PLEASE SOLVE THESE ITS DUE TODAY
    6·1 answer
  • Find the area in square inches. &lt;3
    5·1 answer
  • Can I get some help
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!