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
Svetllana [295]
3 years ago
15

What is the value of sin 0 given that (-3,7) is a point on the terminal side 0

Mathematics
1 answer:
aliina [53]3 years ago
8 0

Answer:

\frac{7\sqrt{58}}{58}

Step-by-step explanation:

\\\text{Given that a point on the terminal side of }\theta \text{ is }(-3,7)\\\\\text{so the terminal side is in Quadrant II}\\\\\text{In the right triangle OMN, using Pythagorean theorem, we get}\\\\\text{ON}=\sqrt{(MN)^2+(OM)^2}\\\\\Rightarrow ON=\sqrt{(7)^2+(-3)^2}\\\\\Rightarrow ON=\sqrt{49+9}\\\\\Rightarrow ON=\sqrt{58}\\

\\\text{we know that in Quadrant II, sine and cosecant are positive.}\\\text{so using the trigonometric ratios, we get}\\\\\sin \theta=\frac{\text{Opposite }}{\text{Hypotenus}}\\\\\Rightarrow \sin \theta=\frac{7}{\sqrt{58}}\\\\\Rightarrow \sin \theta=\frac{7\sqrt{58}}{58}\\

You might be interested in
What is the equation of the line in slop-intercept form?
NNADVOKAT [17]
Y = 5/2x + 5
or
y = 2.5x + 5
5 0
2 years ago
Read 2 more answers
Please help me solve this I have work and i can't have anything due late ..​
ZanzabumX [31]

Answer:

ok sure but do you play rblx

8 0
3 years ago
Read 2 more answers
A triangle has a base of 4 units and a height of 3 units. Mark draws the triangle again but doubles the height. How does the are
dexar [7]

Answer:

The area increases by 6 square units.

Step-by-step explanation:

The formula for the area of a triangle is base times height divided by two.

So, first solve 3 times 4 divided by 2.

Simplify 4 and 2 and you get 3 times 2 which = 6

Then Mark doubles it right?

So do 6 times 2 and you get 12

The first answer is 6, so it increased by 6.

I hope this answer helped. Sorry if I was wrong.

6 0
3 years ago
Read 2 more answers
Pls help in geometry
Alinara [238K]

Answer:

58.5; 300; 196.5

Step-by-step explanation:

Area of triangle 1 = (1/2) * 9 * 13 = 58.5 inches^2

Area of whole figure = (1/2) * (14+26) * 15 = 300 inches ^2

Area of shaded region = 300 - 58.5 - [(1/2) * 6 * 15] = 241.5 - 45 = 196.5 inches^2

8 0
2 years ago
Please answer illgive BRAINLIEST
nirvana33 [79]

Answer:

1747.8

Step-by-step explanation:

V=pi*r^2*h

V = 3.14*(12.1)^2*3.8

=1747.8

7 0
3 years ago
Other questions:
  • What's the difference between 6z and z to the 6th power?
    13·2 answers
  • What is the range of the relation? {(1, 2), (2, 4), (3, 2), (4, 6)}  A.{2, 4}  B.{1, 2, 3, 4, 6}  C.{2, 4, 6}  D.{1, 2, 3, 4}
    12·1 answer
  • 2x^2- 5x + 6 when x = -2
    13·1 answer
  • The equation of line f is y − 9 = -5(x + 7) . Line g is parallel to line f and passes through (3, -8) . What is the equation of
    8·1 answer
  • Combine the like terms:<br> x + 5x + 10 + 2x + 15
    7·2 answers
  • What’s 4+10? I’ll mark brainliest.
    6·2 answers
  • The total weight of the golf balls from Julio’s golf bag was 273 grams. If each golf ball weighed 45.5 grams, which graph shows
    14·1 answer
  • Larry won an award because he wrote 40 popular songs. However, he also wrote 32 songs that weren't popular. How many songs did L
    6·2 answers
  • Find the length of side DF
    11·1 answer
  • Solve for X and Y: <br> Y=2+7x and -2x+6y=-28
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!