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galina1969 [7]
3 years ago
11

Find all polar coordinates of point P where P = (9,pi divided by 5).

Mathematics
1 answer:
RSB [31]3 years ago
7 0

Answer:

(-9, π/5 + (2n + 1)π)

Step-by-step explanation:

Adding any integer multiple of 2π to the direction argument will result in full-circle rotations, which are identities, so this family is equivalent to the give coordinates:

(9, π/5 + 2nπ), for any integer n

Also, multiplying the radius by -1 is a point reflection, equivalent to a half-turn rotation. Then add π to the direction for another half turn, and the result is another identity. So this too is equivalent to the given coordinates:

(-9, π/5 + (2n + 1)π), for any integer n

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Deon has a pizza with a diameter
OverLord2011 [107]

The square box is enough to fit the pizza with a diameter of 10 inches inside. Since the area of the square box is more than the area of the pizza, the pizza fits easily in the square box.

<h3>What is the area of the circle and the square?</h3>

The area of the circle is

Ac = πr² = πd²/4 sq. units

Where r is the radius and d is the diameter of the circle.

The area of the square is given by

As = s² sq. units

Where s is the length of the side of a square.

<h3>Calculation:</h3>

It is given that a pizza(in a circular shape) with a diameter d = 10 in is to be placed in a square box of the same length as the diameter of the pizza.

So,

The area of pizza is

Ap = Ac = πd²/4 sq. units

     = π(10)²/4

     = 25π

     = 78.54 sq. in

Then, the area of the square box with the length same as the diameter of the pizza is,

As = d²

    = 10²

    = 100 sq. in

Since the area of the square is more than the area of the pizza (100 sq. inch > 78.54 sq. inch), the pizza easily fits into the square box.

Learn more about the area of a circle here:

brainly.com/question/15673093

#SPJ1

7 0
1 year ago
I fixed the question need help​
STatiana [176]

Answer:

D

Step-by-step explanation:

90-33=57

57-1=56

56/2=28

28

8 0
3 years ago
Write the quadratic equation whose roots are −6 and 2 , and whose leading coefficient is 5 . (use the letter x to represent the
White raven [17]
<span>Here let the quadratic equation be ax^2 + bx + c We know that a=5 from the question. Since the roots are 6 and 2, the quadratic equation would take the form of a product like (a1x-b1)(a2x-b2). However, let's assume that a2=1 and b2=6, Since a=5, a1=5, then 5x-b1=5(x-2). Solving this shows that b1=10 So, the equation is (5x-10)(x-6)</span>
3 0
3 years ago
What's the value? A.-20 B.-4 C.4 D.20
ale4655 [162]

Answer:

<h2>-4</h2>

Option B is the correct option.

Step-by-step explanation:

{(4 - 2)}^{3}  - 3 \times 4

Subtract the numbers

=  {(2)}^{3 } - 3 \times 4

Multiply the numbers

=  {(2)}^{3}  - 12

Evaluate the power

= 8 - 12

Calculate the difference

=  - 4

Hope this helps..

Best regards!!

4 0
3 years ago
Read 2 more answers
Can somebody please help me, i really didnt understand my teacher at all
Kamila [148]

Answer:

Step-by-step explanation:

It is a solution because if you plug in 84 for b you get 84/12 = 7

4 0
3 years ago
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