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
cricket20 [7]
4 years ago
12

I NEED HELP PLEASE, THANKS! :)

Mathematics
1 answer:
Fiesta28 [93]4 years ago
6 0

Hey there! :)

Answer:

d ≈ 3.49 units

Step-by-step explanation:

Use the distance formula for polar coordinates to determine the distance:

d = \sqrt{r_{1} ^{2}+r_{2} ^{2}-2r_{1}r_{2}cos(0_{1}- 0_{2} )   } (The '0' is supposed to be theta)

Plug in the values given in the question. Convert radians to degrees to simplify the process.

217π/180 = 217°

-23π/36 = -115°.

Therefore:

d = \sqrt{7 ^{2}+5 ^{2}-2(7)(5)cos(217-(-115) )   }

Begin simplifying:

d = \sqrt{74-70cos(332)   }

d = \sqrt{74-61.81   }

Solve:

d = \sqrt{12.19  }

d ≈ 3.49 units

You might be interested in
Which graph has a domain of -∞ < x < ∞ and a range of -∞ < y
Alenkasestr [34]

The graph of the option in the question has a domain of -∞ < x < 3.5.

  • Please find attached the drawing of a graph that has a domain of -∞ < x < ∞

<h3>Which method can be used to find the graph that has a domain of -∞ < x < ∞?</h3>

The domain of a graph are the possible x-values that can be obtained from the graph.

A graph that has a domain given by the inequality, -∞ < x < ∞ does not have a vertical asymptote.

An asymptote is a straight line to which a graph approaches, as either the<em> </em><em>x </em>or y-value approaches infinity.

The given graph has a vertical asymptote at <em>y </em>≈ 3.5

The domain of the given graph is therefore, -∞ < x < 3.5

Similarly, the graph has a horizontal asymptote at <em>x</em> ≈ 3

The range of the given graph is therefore, -∞ < y < 3.

A graph that has a domain of -∞ < x < ∞, extends to infinity to the left and the right of the graph.

A function that has a graph with a domain of -∞ < x < ∞ is one of direct proportionality.

An example is, <em>y </em>= x

  • A graph that has a domain of -∞ < x < ∞ is attached.

Learn more about the domain and range of a graph here:

brainly.com/question/2083771

#SPJ1

6 0
2 years ago
A cake company makes chocolate and vanilla cakes. The ratio of chocolate cakes to vanilla cakes is 3:4. What is the ratio of the
aleksley [76]

Answer:

4:7

Step-by-step explanation:

4:7

they make 7 cakes in total (3:4 = 7).

there are 4 vanilla cakes.

therefore, the ratio of vanilla cakes to the total number of cakes is 4:7.

6 0
3 years ago
Solve for the rational equation 1/x = x/x+1
babymother [125]

Answer:

the answer is x=1/2

Step-by-step explanation:

hope this helps if not let me know have a blessed day

8 0
2 years ago
Solve for x and y. -4x + 8y = -4 4x = 3y + 14
algol13
Hello!! Lets do this step by step! :) 
<span><span><span><span>−<span>4x</span></span>+<span>8y</span></span>=<span>−4</span></span>;<span><span>4x</span>=<span><span>3y</span>+14</span></span></span> <span><span><span>
<span /></span><span /></span><span /></span>To first get x:
<span><span><span><span>−<span>4x</span></span>+<span>8y</span></span>+<span>−<span>8y</span></span></span>=<span><span>−4</span>+<span>−<span>8y  </span></span></span></span>we are ganna add -8y to both sides
<span><span>−<span>4x</span></span>=<span><span>−<span>8y</span></span>−4</span></span><span><span><span>−<span>4x</span></span><span>−4</span></span>=<span><span><span>−<span>8y</span></span>−4</span><span>−4  </span></span></span>we are ganna divide both sides by -4
<span>x=<span><span>2y</span>+1</span></span>
 next just substitute <span><span>2y</span>+1</span> for x in<span><span><span> 4x</span>=<span><span>3y</span>+14</span></span>:</span><span><span>4x</span>=<span><span>3y</span>+14</span></span><span><span>4<span>(<span><span>2y</span>+1</span>)</span></span>=<span><span>3y</span>+14</span></span><span><span><span>8y</span>+4</span>=<span><span>3y</span>+14</span></span><span><span><span><span>8y</span>+4</span>+<span>−<span>3y</span></span></span>=<span><span><span>3y</span>+14</span>+<span>−<span>3y</span></span></span></span> 
we are ganna add -3y to both sides <span><span><span>5y</span>+4</span>=14</span><span><span><span><span>5y</span>+4</span>+<span>−4</span></span>=<span>14+<span>−4</span></span></span>
we are ganna add -4 to both sides <span><span>5y</span>=10</span><span><span><span>5y</span>5</span>=<span>105</span></span>
now we are ganna divide both sides by 5 <span>y=2</span>substitute 2 for y in<span><span> x=<span><span>2y</span>+1</span></span>:</span><span>x=<span><span>2y</span>+1</span></span><span>x=<span><span><span>(2)</span><span>(2)</span></span>+1</span></span><span>x=5</span>

And we get our answer!
x=5
y=2

Hope that helps! If you have any other questions or need further explanation just let me know! :)

5 0
3 years ago
Read 2 more answers
Domain of (x-5)(x+5)
soldier1979 [14.2K]
X2 -25 that’s the answer but it’s x squared 2 if that makes sense
4 0
3 years ago
Other questions:
  • Vertical Angle Relationships<br><br><br> What is m∠PTS?
    7·1 answer
  • Given the function f(x) = −5x2 − x + 20, find f(3). −28 −13 62 64
    6·2 answers
  • Find the radius of a circle with a circumference of 45pi centimeters
    7·1 answer
  • R&amp;R Lumber reports gross sales of $70,000. If sales returns and allowances are $10,000 and sales discounts are $3,000, what
    13·2 answers
  • What is the domain and range of this graph
    12·1 answer
  • When cooking a turkey, you should bake it for 1 hour for every 4 pounds of meat. If an 18 pound turkey is cooked for 4 hours, wa
    14·1 answer
  • Who knows how to calculate
    6·2 answers
  • PLEASE HELP!!!!!!!!!! Solve. −8y ≥ 56 y ≤ 7 y ≥ –7 y ≤ −7 y ≥ 7
    5·1 answer
  • PLEASE ANSWER QUICK!<br><br> Which is better to buy?<br><br> 16 oz for $3.39<br> 64 oz for $8.60
    5·1 answer
  • Can someone help me with this?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!