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
Mumz [18]
3 years ago
7

Point b has coordinates (-8,15) and lies on the circle whose equation is x^2+y^2=289. If an angles is drawn in standard position

with its terminal ray extending through point b, what is the cosine of the angle?
Mathematics
1 answer:
Alenkinab [10]3 years ago
8 0

Answer:

\cos \theta=-\dfrac{8}{17}

Step-by-step explanation:

Coordinates of Point b=(-8,15)

b lies on the circle whose equation is x^2+y^2=289

x^2+y^2=17^2

Comparing with the general form a circle with center at the origin: x^2+y^2=r^2

The radius of the circle =17 which is the length of the hypotenuse of the terminal ray through point b.

For an angle drawn in standard position through point b,

x=-8 which is negative

y=15 which is positive

Therefore, the angle is in Quadrant II.

\cos \theta=\dfrac{Adjacent}{Hypotenuse} \\$Adjacent=-8\\Hypotenuse=17\\\cos \theta=\dfrac{-8}{17} \\\cos \theta=-\dfrac{8}{17}

You might be interested in
A standard deck of 52 cards consists of 4 suits (hearts, diamonds, clubs, and spades). Each suit includes cards numbered 2 throu
Margaret [11]
B hope this helps you on your test
6 0
3 years ago
Read 2 more answers
A screwdriver set has a selling price per unit of $27.95. It also has fixed costs of $837,500, variable costs per unit of $3.25
Sergio [31]
A) $1,016,250 is the right answer

3 0
3 years ago
Read 2 more answers
You have 98 ice pops and 5 carrying bags. How many pops will each bag hold and how many pops are left over?
Sladkaya [172]
When you divide it in a calculator it comes out to 19.6. Can u pls paste the answers here?
7 0
3 years ago
True or
Kay [80]

Answer:

it is False

Step-by-step explanation:

3 0
2 years ago
At a fast food​ restaurant, 10 cheeseburgers​ w/onion and 5 orders of french fries contain 6900 calories. 5 cheeseburgers​ w/oni
Leona [35]

Write the equations,

10 c + 5 f = 6900

5c + 3f = 3660

Double,

10c + 6f = 7320

Subtract,

f = 7320 - 6900 = 420

10 c = 6900 - 5f = 6900 - 2100 = 4800

c = 480

Answer: Cheeseburger 480 calories, fries 420 calories

Check:

10 (480) + 5 (420) = 4800 + 2100 = 6900 good

5(480) + 3(420) = 2400 + 1260 = 3660 good

5 0
3 years ago
Other questions:
  • 1.Parallelogram ACFD is split in two parts so that ABED and FEBC are congruent isosceles trapezoids. What are the measures of al
    10·1 answer
  • How do I graph x-y=6
    11·1 answer
  • Write 2350 million in standard form.<br> Write 25 x 10^6 in standard form.
    6·1 answer
  • By the Triangle Inequality Theorem, if two sides of a triangle have lengths of 6 and 13, what are the possible lengths of the th
    8·1 answer
  • Evaluate-32 + (2 – 6)(10)<br> The answer is -49
    7·1 answer
  • The two parallelograms in the figure are similar. What is the value of x?
    7·2 answers
  • HELP! ASAP!!!! <br><br> Use a calculator to solve the equation.<br><br><br> −9.5x + 0.88 = −6.72
    9·1 answer
  • A middle school with 375 students has 125 students in the eighth grade. Irene says that the eighth-grade class makes up of the s
    9·1 answer
  • Whats y equal too <br> -15 = -4y + 5
    13·1 answer
  • 1. Kamar’s bedroom is shaped like a rectangle that is 16 feet long and 12 feet wide. He wants to put carpet on the floor of the
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!