Determine two pairs of polar coordinates for the point (5, 5) with 0Á _ _ < 360Á

Answers

Answer 1
Answer: the polar coordinates are given by  M(x, y), such tha x=rcos(teta), and y=rsin(teta), it was given M(5,5), so 5=rcos(teta) and 5=rsin(teta), the ratio gives us 5/5= cotan (teta), 1= cotan (teta), implies 1= tan(teta), so teta = Pi/4, let's find r
5=rsin(Pi/4)=r . sqrt(2)/2, so r =10/sqrt(2)=10sqrt(2)
finally the polar coordinates are (r, teta) = (10sqrt(2), Pi/4)

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Please help me with this! I would appreciate it :)
What is the pattern?6+4= 210 9+2= 711 8+5- 313 5+2= 37 7+6= 113 9+8= 117 10+6= 416 15+3= 1218

Which statements correctly describe the transformation in the graph? Select all that apply.BCDE is rotated 180° counterclockwise to form JKLM.
BCDE is rotated 180° clockwise to form PQRS.
JKLM is rotated 180° clockwise to form BCDE.
JKLM is rotated 180° counterclockwise to form BCDE.

Answers

The transformations that took place are;

A: BCDE is rotated 180° counterclockwise to form JKLM.

B: BCDE is rotated 180° clockwise to form PQRS.

What is the transformation that took place?

We can see that the coordinates of Rectangle BCDE are;

B(2, 1); C(2, 2); D(4, 2); E(4, 1)

Now, for Rectangle JKLM, we see that the coordinates are;

J(-2, -1); K(-2, -2); L(-4, -2); M(-4, -1).

Now, for Rectangle PQRS, we see that the coordinates are;

P(-2, 1); Q(-2, 2); R(-4, 2); S(-4, 1).

We see the transformation from BCDE to JKLM as (x, y) → (-x, -y) and this is reflection over the x-axis which is 180° counterclockwise.

Read more about Transformation at; brainly.com/question/4289712

Answer:

actually, its 1 3 and 4 :nerd_emoji:

Step-by-step explanation:

Y-6 = 4(x + 10)This linear function is written in point-slope form. What
is the given point (*1, y1)?

Answers

The answer I gave you is for x.

County X has a population density of 250 people per square mile. The totalpopulation of the county is 150,000. Which geometric model could be the shape of
county X?
A a parallelogram with a base of 25 miles and a height of 25 miles
B a rectangle that is 15 miles long and 45 miles wide
C a right triangle with a leg that is 30 miles long and a hypotenuse that is
50 miles long
D a trapezoid with base lengths of 10 miles and 30 miles and a height of
25 miles

Answers

Answer:

Option C. is the correct option.

Step-by-step explanation:

County X has a population density of 250 people per square mile.

Total population of the county is 150000.

Total area which represents the population = \frac{\text{Total population}}{\text{Population density}} = (150000)/(250)=600 square mile.

So geometric model which has the same area as 600 square miles will be the answer.

A). Area of a parallelogram = Base × height

= 25×25

= 625 square miles

which is not equal to 600 square miles so it's not the correct option.

B). Area of a rectangle = Length×width

= 15×45 = 675 square miles ≠ 600 square miles

Therefore, not the correct option.

C). Area of a right triangle = (1)/(2)(Base)(height)

Since length of hypotenuse is given so we will find the length of height.

Height = √[(Hypotenuse)²- (Base)²] = \sqrt{50^(2)-30^(2)}

= √(2500-900)

= √(1600)

= 40 miles

So area of the right triangle = (1)/(2)(40)(30)

= (1200)/(2)

= 600 square miles

Which matches the area of County X, so it's a correct option.

D). area of trapezoid = (1)/(2)[(base1 + base2)](height)

= (1)/(2)(10+30)(25)

= (1)/(2)(40)(25)

= 20×25

= 500 square miles ≠ 600 miles

Therefore, this option is not correct.

C. with a 150,000 person population at 250 persons per square mile the country would be 600 square miles. The last leg would equal 40 miles and therefore making the area equal 600 square miles. 

I really need help on all of them, I will give out brainliest to one answer and ten points to both

Answers

Answer:

1. 1/2, 2. 2, 3. 1/-3, 4. -2

Step-by-step explanation:

1) I know that the equation for slope is y2-y1/x2-x1. For number one I first found two points of the graph which is (0,3) and (2,4) (not sure if I see it correctly, its kind of blurry). I decided that (0,3) would be my y1 and x1 and (2,4) will be my y2 and x2. I later plugged the number in the equation and got 4-3/2-0 which the answer turns out to be 1/2.

2) For the rest of the questions it is kinda the same business as question 1. For question two I chose two points out of the table which wrer (-1, -12) and (1,-8) and plugged them into the equation and got -8-(-12)/1-(-1) which the answer turns out to be 2.

3) similar to question 2. The two points(2,-6) and (-4,-3) are given to you. so I plugged them in again and got -3-(-6)/-4-2 which the answer turns out to be 3/-6 into 1/-3.

4) Same with question 1 find two points of the graph. I chose (0,3) and (1,1) (again might not be accurate it's kind of blurry) I plugged them into the equation again and got 1-3/1-0 which equals -2.

Just always remember y2-y1/x2-x1=m is the equation for slope.

(m is the variable for slope)

Hoped this helped you : )

Select the correct answer.Jonathan has 30 chocolates. He gives some chocolates to his friend David. He then gives Sarah half the number of chocolates that he gave David and gives Lily two-thirds of what he gave David. After giving away the chocolates, Jonathan has 4 chocolates left. If the number of chocolates Jonathan gives David is x, which equation represents the situation? How many solutions does this equation have?
A.
, which has no solution
B.
, which has infinitely many solutions
C.
, which has one solution
D.
, which has one solution
E.
, which has no solution
Reset Next

Answers

Answer:

A

Step-by-step explanation:

Jan bought a blazer for $39.90. The price of the blazer was $38. What sales-tax rate was she charged for this blazer?

Answers

The sales tax rate was 5% because $38 x .05 = $39.90
First find the amount of sales tax by Subtracting 39.90 - 38 = 1.90
The amount of sales tax is $1.90. Since sales tax is found by multiplying the tax rate (in decimal form) times the original cost, we have this equation:
Sales tax = rate * original cost.
We know that sales tax is $1.90 and the original cost is $38.
Plug these numbers into the equation:
1.90 = r * 38
Solve for r by dividing both sides by 38:
r = 0.05
This is in decimal form, so convert it to percent form by moving the decimal 2 places to the right.
Sales Tax rate = 5%