HELP ME PLEASE!! Find R and theta with the coordinates (-3,7).

Answers

Answer 1

Answer:

Since r is the distance from the origin to (x,y), it is the magnitude r=√x2+y2. Alternatively, from the equation (1), one can calculate directly that x2+y2=r2cos2θ+r2sin2θ=r2(cos2θ+sin2θ)=r2.

Step-by-step explanation:


Related Questions

Can anyone please do these questions? This is Unit 1 Geometry basics Homework 5 Angle Relationships.

Answers

Answer:

Step-by-step explanation:

11). 6x + 7 = 8x - 17 [Since vertical angles are equal in measure]

    8x - 6x = 17 + 7

    2x = 24

    x = 12

12). (11x - 15) + (5x - 13) = 180°

    16x - 28 = 180°

    16x = 180 + 28

    16x = 208

    x = 13

13). Since DB⊥AC,

    m∠CBD = 90°

    m∠CBE + m∠DBE = 90°

    (5x - 42) + (2x - 1) = 90°

     7x - 43 = 90

    7x = 133

     x = 19

14). Since QS bisects angle PQR,

    m∠PQS = m∠RQS

    10x + 1 = [tex]\frac{82}{2}[/tex]

    10x + 1 = 41

    10x = 40

    x = 4

15). 10x - 61 = 18y + 5 [Vertical angles]

     10x - 18y = 61 + 5

     10x - 18y = 66

     5x - 9y = 33 ------(1)

     (18y + 5) + (x + 10) = 180 [linear pair of angles are supplementary]

     18y + x + 15 = 180

     x + 18y = 165 ------(2)

     By adding equation (1)×2 and equation (2)

     (10x - 18y) + (x + 18y) = 66 + 165

     11x = 231

      x = 21

16). (5x - 17) + (3x - 11) = 180 [[linear pair of angles are supplementary]

      8x - 28 = 180

      8x = 180 + 28

      8x = 208

      x = 26

      (3x - 11)° = 78 - 11

                   = 67°

      67° + 90° + (2y + 5)°= 180° [Sum of angles on a line]

      162 + 2y = 180

      2y = 180 - 162

      2y = 18

      y = 9

17). NP bisects ∠MNQ.

    Therefore, m∠MNQ = 2(m∠PNQ)

    8x + 12 = 2×78

    8x + 12 = 156

    8x = 156 - 12

    8x = 144

    x = 18

    m∠MNQ = (8x + 12)° = 156°

    m∠RNM = m∠ONQ [Vertical angles]

    (3y - 9)° = 180° - m∠MNQ

    3y - 9 = 180 - 156

    3y - 9 = 24

    3y = 33

    y = 11

Using the knowledge of the angle relationships to create an equation, the value of x and y in the image given are:

11. x = 12

12. x = 13

13. x = 19

14. x = 4

15. x = 21; y = 8

16. x = 26; y = 9

17. x = 18; y = 11

Applying the knowledge of angle relationships, we can solve each given problem by first, creating a an equation from the relationship between angles, then solve for the variables.

11. [tex]6x + 7 $ and $ 8x - 17[/tex] are vertical angles.

Since vertical angles are congruent, therefore:

[tex]6x + 7 = 8x - 17[/tex]

Solve for x

[tex]6x - 8x = -7 - 17\\\\-2x = -24\\\\x = 12[/tex]

12. [tex]11x - 15 $ and $ 5x - 13[/tex] are linear pair angles.

Since, the sum of linear pair angles equals 180 degrees, therefore:

[tex](11x - 15) + (5x - 13) = 180[/tex]

Solve for x

[tex]11x - 15 + 5x - 13 = 180\\\\16x - 28 = 180\\\\16x - 28 + 28 = 180 + 28\\\\16x = 208\\\\x = 13[/tex]

13. <DBE and <CBE are complementary angles.

Since the some of complementary angles equals 90 degrees, therefore,

[tex]m \angle DBE + m \angle CBE = 90[/tex]

Substitute

[tex](2x - 1) + (5x - 42) = 90[/tex]

Solve for x

[tex]2x - 1 + 5x - 42 = 90\\\\7x - 43 = 90\\\\7x = 90 + 43\\\\7x = 133\\\\x = 19[/tex]

14. Since QS bisects <PQR, therefore,

m<PQS = 1/2(PQR)

Substitute

[tex]10x + 1 = \frac{1}{2} (82)[/tex]

Solve for x

[tex]10x + 1 = 41\\\\10x = 41 - 1\\\\10x = 40\\\\x = 4[/tex]

15. [tex](x + 10) $ and $ (10x - 16)[/tex] are linear pair angles.

Since the sum of linear pair angles equals 180 degrees, therefore,

[tex](x + 10) + (10x - 16) = 180\\[/tex]

Solve for x

[tex]x + 10 + 10x - 61 = 180\\\\11x - 51 = 180\\\\11x = 180 + 51\\\\11x = 231\\\\x = 21[/tex]

Find y:

Since [tex](10x - 61) $ and $ (10y + 5)[/tex] are vertical angles, they are congruent. Therefore,

[tex](10x - 61) = (10y + 5)[/tex]

Plug in the value of x and solve for y

[tex]10(21) - 61 = 18y + 5\\\\149 = 18y + 5\\\\149 - 5 = 10y\\\\144 = 18y\\\\8 = y\\\\\mathbf{y = 8}[/tex]

16. Since [tex](5x - 17) $ and $ (3x - 11)[/tex] are linear pair, their sum equals 180 degrees. Therefore,

[tex](5x - 17) + (3x - 11) = 180[/tex]

Solve for x

[tex]5x - 17 + 3x - 11 = 180\\\\8x - 28 = 180\\\\8x = 180 + 28\\\\8x = 208\\\\x = 26[/tex]

Find y:

[tex](2y + 5) + 90 + (3x - 11) = 180[/tex] (angles on a straight line = 180 degrees)

Plug in the value of x and solve for y

[tex]2y + 5 + 90 + 3(26) - 11 = 180\\\\2y + 5 + 90 + 78 - 11 = 180\\\\2y + 162 = 180\\\\2y = 180 - 162\\\\2y =18\\\\y = 9[/tex]

17. Since NP bisects <MNQ, therefore,

[tex]m \angle PNQ = \frac{1}{2}(m \angle MNQ)[/tex]

Substitute

[tex]78 = \frac{1}{2}(8x + 12)[/tex]

Solve for x

[tex]78 \times 2 = 8x + 12\\\\156 = 8x + 12\\\\156 - 12 = 8x \\\\144 = 8x\\\\18 = x\\\\x = 18[/tex]

[tex]m \angle RNM + m \angle MNQ = 180^{\circ}[/tex] (linear pair)

Substitute

[tex](3y - 9) + (8x + 12) = 180[/tex]

Plug in the value of x and solve for y

[tex]3y - 9 + 8(18) + 12 = 180\\\\3y - 9 + 144 + 12 = 180\\\\3y + 147 = 180\\\\3y = 180 - 147\\\\3y = 33\\\\y = 11[/tex]

Therefore, using the knowledge of the angle relationships to create an equation, the value of x and y in the image given are:

11. x = 12

12. x = 13

13. x = 19

14. x = 4

15. x = 21; y = 8

16. x = 26; y = 9

17. x = 18; y = 11

Learn more here:

https://brainly.com/question/18963166

Evaluate the expression when a=3.
a^2+12

Answers

[tex]3^{2} + 12 = 9 + 12 = 21[/tex]

The answer is 21.

Answer:

The correct answer is 21.

Step-by-step explanation:

To solve this problem, we simply substitute 3 for a in the expression.

Given the expression,

a^2 + 12

we should replace "a" with 3, as denoted by the problem, giving us:

(3)^2 + 12

Now, we simplify using the order of operations.  PEMDAS tells us that we should simplify what is in the parentheses first because it has an exponent.

9 + 12

Now, we can just add the two remaining terms together, giving us:

21

Therefore, the answer is 21.

Hope this helps!

What is the third multiple of 167?

Answers

501

167x 3=501

Brainliest?

PLEASE HELP!!!Choose the name of the angle notated by the arc(SHOW WORK) A.MPO B.NPO C.LPM D.PLO

Answers

Answer:

B. NPO

Explanation:

Because P is the middle letter in the arc.

Answer: B. NPO

Step-by-step explanation: the angle has to be in middle

Raleigh went to a gaming arcade for his birthday. His parents gave him $55 to spend. He purchased $14.25 in
food and drinks, and put the rest of the money on a gaming card to spend at the arcade. Each game cost
$1.25.
How Many games can Raleigh play in the arcade?

Answers

Answer:

23 games

Step-by-step explanation:

40.75 divide by 1.25 comes out 23.28

Answer:

g<32.6

Step-by-step explanation:

1.25g+14.25<55

1.25g+14.25-14.25<55-14.25

1.25g<40.75

1.25g/1.25<40.75/1.25

g<32.6

6+(-3)=
answer question plz​

Answers

Answer:

-3

Step-by-step explanation: Because it is just like saying 6-3

Answer:

3

Step-by-step explanation:

6+(-3)

A addition symbol and subtraction symbol both make a negative symbol.

6-3

6-3= 3

Hope this helps!

What is the base of the triangle? A=36mm(2) H= 6mm B=?

Answers

Answer:

Area formula=b*h÷2

b=a÷h*2

b=12

Step-by-step explanation:

So if you multiply the base and height to find a triangle, you'd get the area of a rectangle instead so if you divide by 2, you'd get the area of a triangle

To find the base, you'd reverse the process. You'd divide the area by the height and multiply by 2.

36÷6=6

6*2=12

Hope that helps!

11. Your class is taking a trip to a museum that is 190 miles away. The bus can travel at 55
miles per hour. At least how many hours should your class plan for the trip to the museum?

Answers

I’d say 3.5 hours judging by it taking 55 an hour, 110 in two, 165 in 3, and less than a half for 90.

Really need help with #20! I'll give brainliest!

Answers

Answer: 1 year (year 15)

Step-by-step explanation:

109.5-86.0=23.5

128.4-109.5=18.90

140.8-128.4=12.4

158.7-140.8=17.9

182.1-158.7=23.4

23.5+18.9+12.4+17.9+23.4=96.10

96.10÷5=19.22

200-182.1=17.9

182.1+19.22=201.32 subs

What is the value of (4)(-7)(-2)?

Answers

Answer:

=(4)(-7)(-2)

=-28*(-2)

=+56 is the answer

Step-by-step explanation:

hope it help ^_^

What kind of transformation is illustrated in this figure?
O translation
.
O reflection
dilation
Orotation

Answers

Answer:

translation

Step-by-step explanation:

shape, size, measurement all stayed the same. they just moved locations :)

what is 1 1/3 divided by 3/5

Answers

about 2.2222

rounded answer: 2.23

Answer:

6.11

Step-by-step explanation:

First divide 11by 3 and 3by 5.And divide the answer of 11by 3 by 3by5

What is the common multiplier in the proportion? 6 over 8 = 9 over 12​

Answers

Answer:

The common multiplier is 24

Step-by-step explanation:

6/8 9/12

8,16,24

12,24

6/8 × 3/3= 18/24

9/12× 2/2= 18/24

Felipe earns $9 per hour for helping his grandmother with her yard work. Write and solve a multiplication equation to find how many hours he must help his grandmother I’m order to earn $54

Answers

Answer:

Felipe work for 6 hours to earn $54

Step-by-step explanation:

I guess I was help full for u

plz follow me for more updates

Point D best represents which of the following numbers?
tot
14
14.5
15
15.5
16

Answers

Answer:

yea your correct and 16.5

Step-by-step explanation:

Answer:

???

Step-by-step explanation:

???

NEED EXPLANATION AND PROCESS!!!

Answers

Answer:

x = 133

y = 43

Step-by-step explanation:

x + 47 = 180

so x is 133

47 + y = 90

so y is 43

If g(x-1) = (2-g(x))/8 and g(1) = 3, find the value of g(2).

Answers

Answer:

-22

Step-by-step explanation:

g(2-1)=g(1)=(2-g(2))/8=3

2-g(2)=24

-g(2)=22

g(2)=-22

Please help lol

Answer options:

A. (2.5,4)
B. (2,3)
C. (1.5,3)
D. (2,3.5)

Answers

It would be D (2, 3.5). Partitions in the ratio 1:1 means it cuts it in half basically.

-
=\80
2.4
()
14 15
0
L: 2
4
А) . 1
( - ) 90
| —

Answers

Answer:

....

Step-by-step explanation:

a patio has an area of 120 square feet. the length of the patio is 12 feet. what is its width

Answers

Answer:

w = 10 feet

Step-by-step explanation:

Area formula

A = l×w

120ft² = 12ft×w

w = 120ft²/12ft

w = 10 feet

Help needed ASAP will give BRAINLIEST

Answers

Answer:

177.2 i think

Step-by-step explanation:

What value of x is in the solution set of 2(3x - 1) = 4x - 6?
EO
-10

Answers

Answer:

D) -1

Step-by-step explanation:

6x-2≥4x-6

6x-4x≥-6+2

2x≥-4

x≥-4÷2

x≥-2

Only -1 is greater than -2 in the list.

Answer:

x = - 1

Step-by-step explanation:

Given

2(3x - 1) ≥ 4x - 6 ← distribute parenthesis on left side

6x - 2 ≥ 4x - 6 ( subtract 4x from both sides )

2x - 2 ≥ - 6 ( add 2 to both sides )

2x ≥ - 4 ( divide both sides by 2 )

x ≥ - 2

The only value in the list greater than - 2 is - 1

x = - 1 is in the solution set

What is the same value as the expression 7/5+2 1/4+1.6

Answers

The same value as that expression would be 5.

Is the equation x9 – 5x3 + 6 = 0 quadratic in form? Explain why or why not.

Answers

Answer:

NOO

Step-by-step explanation:

In order for an equation to be quadratic, the highest degree that is needed is two. The highest exponent provided is 3 therefore no it is not a quadratic function

No highest degree need to be 2

What is the 50th term of Arithmetic sequence 9,2,-5

Answers

Answer:

- 334

Step-by-step explanation:

There is a common difference between consecutive terms in the given sequence, that is

d = 2 - 9 = - 5 - 2 = - 7

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 9 and d = - 7 , thus

[tex]a_{50}[/tex] = 9 + (49 × - 7) = 9 - 343 = - 334

A. Without computing each sum, find which is greater, O or E, AND by how much.
O = 1 + 3 + 5 + 7 + ... + 101
E = 2 + 4 + 6 + 8 + ... + 102
and need to explain it

Answers

Answer:

Www

Step-by-step explanation:

It would be E has bigger numbers

When ax3 +x2 -2x +b is divided by x+1, the remainder is 10. When it is divided by x-3, the remainder is -46. What is the value of a and b?

Answers

Step-by-step explanation:

Given

X+ 2 = 0

X = -2

on putting in polynomial

-8a +2b= 0

- 8a = 2b

b = -4a

Now

when divided by x - 1 give remainder -15

so

x - 1 = -15

x = -14

on putting in polynomial

-2744a + 198 + 14b - 4 = -14

-2744a + 56a = - 208

-2688a = -208

a = 168/13

Now

b = 672/13

The next two numbers in the series 1 , 4 , 9 , 16 , 25 ,....................are

Answers

Answer:

36, 49

explanation:

The pattern in this series is going by perfect squares:

(1)² = 1(2)²= 4(3)² = 9(4)² =16(5)² = 25

From this, we can tell the next 2 numbers in the series will be:

(6)²=36(7)²=49

What property is (6+2)+4=4+(6+2)

Answers

Answer: commutative property of addition

Step-by-step explanation:

(a+b)+c=a+(b+c) -- Commutative property of addition

Commutative property of addition is when the numbers are added, the sum are the same, regardless of the order of numbers.

Thus, (6+2)+4=4+(6+2) is commutative property of addition.

Hope this helps!! :)

Please let me know if you need further explanation with properties of addition.

Find the value of the remaining variable in the formula. Use 3.14 as an approximation for a (pi).
P=2L+2W (perimeter of a rectangle); L = 4, W= 2
P =
Enter your answer in the answer box.

Answers

Answer:

P = 12

Step-by-step explanation:

Given formula for the perimeter 'P' of a rectangle is,

P = 2L + 2W

If the values of L and W are,

L = 4 and W = 2

Perimeter of the rectangle = 2(L + W)

                                            = 2(4 + 2)

                                            = 2 × 6

                                            = 12 units

Therefore, value of remaining variable 'Perimeter' = 12 units

(There is no use of 'pi' in calculating the perimeter of a rectangle).

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