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
Abbot is paid weekly for every hour he works. He worked 6 hours each day for 5 days last week. He earned $408, before taxes. Wri
Contact [7]

Answer:

p=13.6h

Step-by-step explanation:

if he works 6 hours a day for five days that's 30 hours. $408 divided by 30 hours is $13.6 per hour.

3 0
3 years ago
A box of oat cereal costs $3.90 for 15 ounces. A box of rice of cereal costs $3.30 for 11 ounces. Which box of cereal costs less
Firlakuza [10]

Answer:

The cost of per ounce of oat cereal is $0.04 less than per ounce cost of rice.

Step-by-step explanation:

Given:

Cost of 15 ounces of oat cereal box = $3.90

Cost of 11 ounces of rice box = $3.30

To compare the unit prices of the the boxes.

Solution:

Using unitary method to find the unit prices:

If 15 ounce of oat box cost =$3.90

∴ 1 ounce of oat cereal would cost = \$\frac{3.90}{15}=\$0.26

∴ Per ounce cost of oat cereal = $0.26

If 11 ounce of rice box cost =$3.30

∴ 1 ounce of rice would cost = \$\frac{3.30}{11}=\$0.3

∴ Per ounce cost of rice = $0.3

Difference in unit costs of oat and rice = \$0.3-\$0.26=\$0.04

On comparing the the unit costs of oats and rice, we find out that the cost of per ounce of oat cereal is $0.04 less than per ounce cost of rice.

3 0
3 years ago
A function has a y-intercept of -6 and x-intercepts at (2,0) and (6,0). Which graph represents this function?
LuckyWell [14K]

Answer: I'm guessing it would be a parabola, with the line going through -6 on the y-axis and passing through 2 and 6 on the x-axis, but we cannot see any answers, so therefore we can't answer it accurately.

Step-by-step explanation:

3 0
3 years ago
Nora had already read thirty percent of the book before he teacher assigned it to the class she is choosing between two options.
kompoz [17]
I need some points so I put this
5 0
3 years ago
Read 2 more answers
Help me idk how to do this
ElenaW [278]
To do this, you have to plug each x value into the rule.

1.y = 15 - 3×2
y = 15 - 6
y = 9

So the first y value would be 9.

2.y = 15 - 3×3
y = 15 - 9
y = 6

3. y = 15 - 3×4
y = 15-12
y = 3

4. y = 15 - 3×5
y = 15-15
y = 0

Hope this helps!

3 0
3 years ago
Other questions:
  • Meredith borrows $12,560 and pays 2% simple interest each year for 4 years. What is the total amount of interest that she will p
    13·2 answers
  • Let X and Y be joint continuous random variables with joint density function fpx, yq " # e ´y y 0 ă x ă y, 0 ă y ă 8 0 otherwise
    6·1 answer
  • Write the general equation for the circle that passes through the points:
    5·1 answer
  • A rectangle has a perimeter of 44 inches and an area of 72 square inches. what are the lengths of the sides of the rectangle
    8·1 answer
  • Solve the equation<br> -8-x=x-4x
    14·2 answers
  • What is 2 3/4 in simplest form
    11·1 answer
  • A child walks due east on the deck of a ship at 4 miles per hour. The ship is moving north at a speed of 18 miles per hour. Find
    13·1 answer
  • What is 6 divided by 3/8?
    8·2 answers
  • So i have to do integer math and Im not really good at it
    11·1 answer
  • Wou help video
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!