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
Anit [1.1K]
3 years ago
12

Find the rectangular coordinates of the point with the polar coordinates ordered pair negative 7 comma 5 pi divided by 3.

Mathematics
1 answer:
marshall27 [118]3 years ago
8 0
We have that

(r, ∅)----------> (-7, <span>5 pi/3)

we know that
</span>5 pi/3--------> 300°-----------> -60°
To convert polar cordinates in rectangular one with use the following formula:
x=r*cos ∅------> x=-7*cos -60°-------> x=-7*(1/2)------> x=-7/2
y=r*sin ∅-------> y=-7*sin -60------->  y=-7*(-√3)/2----> y=7√3/2

the answer is the option
D) ordered pair negative 7 divided by 2 comma 7 square root 3 divided by 2
You might be interested in
A line has a slope of
mojhsa [17]

Answer:

b = 3/4

Step-by-step explanation:

Using point slope: y - y1 = m(x - x1).

Substitute your given slope, given point, and subsitute 0 in for x and solve for y since the y intercept is the y value when x = 0.

0.2 = 1/5, so 1/5 * 1/4 = 1/20

Therefore: y - 4/5 = 1/4(0 - 0.2) → y - 4/5 = -1/20 → y = 4/5 - 1/20 → 15/20 → <em>3/4</em>

5 0
4 years ago
Read 2 more answers
The explicit rule for the arithmetic sequence shown in the graph is a↓n=9.5+2(n-1)
Virty [35]

Answer:

True.

Step-by-step explanation:

The explicit form for an arithmetic sequence is:

a_n=a_1+d(n-1)

where a_1 is the first term and d is the common difference.

The common difference here is 2 because the y's are going up by 2 while the x's are going up by 1.

Yes, the common difference is the slope.

So we have d=2.

The first term is 9.5 because that is what happens when x=1.

x is n.

y is a_n.

So the answer is true.

----

You can also verify by plugging in numbers for n and see if you get the outputs mentioned in the pairs given:

Let n=1:

a_1=9.5+2(1-1)

a_1=9.5+2(0)

a_1=9.5+0

a_1=9.5

Let n=2:

a_2=9.5+2(2-1)

a_2=9.5+2(1)

a_2=9.5+2

a_2=11.5

Let n=3:

a_3=9.5+2(3-1)

a_3=9.5+2(2)

a_3=9.5+4

a_3=13.5

Let n=4:

a_4=9.5+2(4-1)

a_4=9.5+2(3)

a_4=9.5+6

a_4=15.5

Let n=5:

a_5=9.5+2(5-1)

a_5=9.5+2(4)

a_5=9.5+8

a_5=17.5

Let n=6:

a_6=9.5+2(6-1)

a_6=9.5+2(5)

a_6=9.5+10

a_6=19.5

We have confirmed that we get all 6 of the mentioned points using the equation they gave.

5 0
3 years ago
How to do this and whats the answer
Vinvika [58]

Answer:

(b) 36 degrees.

Step-by-step explanation:

K is the center of the circle so triangle KMN is isosceles and m < KMN = m KNM =  26 degrees ( base angles are equal)

So m <  LMK = m <LMN - m < KMN

= 98 - 26

= 72 degrees.

Now triangle LKM is also isosceles since K is the center of the circle so

m <  LKM = 180 - 2* 72

= 180 - 144

= 36 degrees.

4 0
3 years ago
Zaria wants you to solve this puzzle: “I am thinking of a number. If you divide my number by 2 and subtract 4, you will get 2. W
ycow [4]
Your answer should be 12 because you would take 2 ( because that is the ending number) and add 4. Then multiply by 2 and it is 12.
    step 1)  2+4=6
    step 2) 6 x 2=12
    step 3) 12=12 you're answer
6 0
4 years ago
Read 2 more answers
How many years ago did Mount Saint Helens erupt?if it last erupted in 1989.
Marta_Voda [28]

Answer:

31

Please mark brainliest

3 0
4 years ago
Read 2 more answers
Other questions:
  • What is 1.83 with a line above three simplified as a fraction
    11·1 answer
  • What is the GCF of 30 and 49 ?
    10·1 answer
  • What is the solution to the system of equations y= -5x + 30<br> X=10
    9·2 answers
  • 5. From Mario's house to school, you can walk in a straight line. In the afternoon he has to stop twice on
    15·1 answer
  • 9. In a 25-kilometer triathlon, competitors sim 2 kilometers, run 5 kilometers, and bike the rest
    8·1 answer
  • PLEASE HELP ILL GIVE BRAINLIEST
    15·1 answer
  • Will mark brainliest to best answer!!<br><br> geometry question
    10·1 answer
  • Which expression represents the perimeter of the rectangle shown below
    14·1 answer
  • What is 40 x 23 + 70 x 23
    13·1 answer
  • Can someone help me please
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!