Using the given model. What value of X would make the equation true?

a. x = -8
b. x = 2
c. x = 3
d. x = 8

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Answer:

we know that

the relationship between the 2-dimensional polar and Cartesian coordinates is

r = √(x² + y²)

Θ = tan⁻¹ (y/x)

so

Part a) (2, −2)---------> this point belong to the IV quadrant

r = √(x² + y²)------ r = √(2² + (-2)²)-----> r=√8

Θ = tan⁻¹ (y/x)---- Θ = tan⁻¹ (2/2)----> 45°

remember that the point belong to the IV quadrant

so

Θ=360-45-----> Θ=315°

the answer part A) is 

(r,Θ)=(√8,315°)

Part b) (-1, 3)---------> this point belong to the II quadrant

r = √(x² + y²)------ r = √(-1² + (3)²)-----> r=√10

Θ = tan⁻¹ (y/x)---- Θ = tan⁻¹ (3/1)----> 71.57°

remember that the point belong to the II quadrant

so

Θ=180-71.57-----> Θ=108.43°

the answer part B) is 

(r,Θ)=(√10,108.43°)

mark me branlest plz hope it helps

The answers are a) (r,θ) = (√8,315°) and b) (r, θ) = (√10,108.43°).

The relationship between the 2-dimensional polar and Cartesian coordinates is

r = √(x² + y²)

θ = tan⁻¹ (y/x)

so,

A) (2, −2 belongs to the IV quadrant,

r = √(x² + y²)

r = √(2² + (-2)²

r=√8

θ = tan⁻¹ (y/x)

θ = tan⁻¹ (2/2)

= 45°

The point belongs to the IV quadrant,

so,

θ = 360-45

θ = 315°

Therefore,

(r,θ) = (√8,315°)

B) (-1, 3) belong to the II quadrant,

r = √(x² + y²)

r = √(-1² + (3)²)

r = √10

θ = tan⁻¹ (y/x)

θ = tan⁻¹ (3/1)

= 71.57°

The point belongs to the II quadrant ;

so,

θ = 180-71.57

θ = 108.43°

Therefore,

(r, θ) = (√10,108.43°)

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$24

Step-by-step explanation:

Answer: 24

Step-by-step explanation: First you have to find out what 20% of 30 is. Then you subtract that 20%(6) from thirty giving you the answer of 24

Answer:

-18

Step-by-step explanation:

-20 - 2/ -20 + 2 = -18

Answer:

Step-by-step explanation:

-18

Answer:

-12

Step-by-step explanation:

-6 f(-3) - 5 g(-7)

f(-3) is the value of the function at -3

f(-3) = -3

g(-7) is the value of the function at -7

g(-7) = 6

-6 (-3) - 5 *6

18 - 30

-12

Answer:

Step-by-step explanation:

The given function is

[tex]h(t) = -16t^{2}+128t[/tex]

The image attached shows the trajectory of the rocket in a height-time graph. Notice that the maxium point reached is (4, 256), which means after 4 seconds, the rocket has a maximum height of 256 feet. (c) and (d)

Additionally, a parabola is symmetrical, which means it takes the same time going up or down, therefore the rocket reaches the ground after 8 seconds. (a)

Now, when the rocket is 112 feet above the ground, we have

[tex]112 = -16t^{2}+128t[/tex]

Where we need to solve for [tex]t[/tex]

[tex]0 = -16t^{2}+128t-112[/tex]

Using a calculator, we have the solutions [tex]x_{1}= 1[/tex] and [tex]x_{2}=7[/tex], which means after 1 second and 7 second, the rocket is 112 feet above the ground. (b)

Answer:

11.81pi

Step-by-step explanation:

r^2=25pi

r=8.86

length=2pi(8.86)(240/360)

=17.72pi(2/3)

=11.81pi

Answer:

Step-by-step explanation:

8% of 1,000 is 80

if you multiply 1000 by the decimal form of 8% (0.08) you will get 80

1,000*0,08=80

Answer:

the answer is 80.

Step-by-step explanation:

Multiply 0.08 with 1000

Answer:

The length of AB is 4.33012701892

Step-by-step explanation:

1. You find 10*sin(60 degrees), because sin(60 degrees) =  x/CT, and CT = 10. That means that sin(60 degrees) = x/10. You multiply by 10 on both sides, which would mean that x = 10sin(60 degrees) and that AT = 8.66025403784 because x is AT.

2. Then, because the relation between AT and AB and Angle T is sine, you use cosine to find x. If you do that, you find that the equation is sin(30 degrees) = x/8.66025403784. That means that 8.66025403784*sin(30 degrees) = x. If you calculate that, you find that x = 4.33012701892, and AB is x.

Answer:

a

Step-by-step explanation:

it hs explanasion

Answer:

1.economics 2.endangered species 3. environmental  impact statement

Step-by-step explanation:

sry if its wrong i did it really fast

ANSWER

the height is 30 ft

Answer:

Option B

Step-by-step explanation:

Given: all the four-digit numbers are formed using the digits 1, 2, 3, and 4 such that no digit is used twice

To find: probability that number chosen lies between 2000 and 3000

Solution:

Probability refers to chances of occurring of some event.

Total number of numbers formed using digits 1, 2, 3, and 4 = [tex]4\times 3\times 2\times 1=24[/tex]

Numbers between 2000 and 3000 start with 2. So, first digit is fixed as 2. For remaining three digits, possibilities are 4, 3, 1

So, total number of numbers lie between 2000 and 3000 = [tex]3\times 2\times 1=6[/tex]

Probability that number chosen lies between 2000 and 3000 = total number of numbers lie between 2000 and 3000/Total number of numbers formed using digits 1, 2, 3, and 4 = 6/24 = 1/4

In percentage form, Probability that number chosen lies between 2000 and 3000 = [tex]\frac{1}{4}(100)=25\%[/tex]

Probability that a four digit number formed from 1,2,3,4 is between 2000 & 3000 = 25%

Total number of four digit numbers that can be formed by digits 1,2,3,4  (without repetition)

Possible outcomes for first digit = 4

Possible outcomes for second digit = 3

Possible outcomes for third digit = 2

Possible outcomes for fourth digit = 1

So, total ways in which mentioned 4 digit number can be formed = 4 x 3 x 2 x 1 = 24 ways

When number is between 2000 & 3000, it starts from digit 2

So, possible outcome for first digit = only 1 ( ie digit 2)

Possible outcomes for second digit = 3

Possible outcomes for third digit = 2

Possible outcomes for fourth digit = 1

So, total ways in which 4 digit number starting from digit '2' can be formed = 1 x 3 x 2 x 1 = 6 ways

Probability = Favourable outcomes / Total outcomes

6 / 24 = 0.25 = 25%

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Answer:

Step-by-step explanation:

Answers:

1: Yes, a polynomial (I'm going from left to right top to bottom)

2:  Yes, a polynomial

3. Yes, a polynomial

4. Yes, a polynomial

5. No, not a polynomial

6. No, not a polynomial

Sorry this took so long!

This question is incomplete and has not be written correctly.

Complete Question:

The smallest hummingbird is the Bee hummingbird. It has a mass of about 1 1/2 grams. The mass of a larger type of hummingbird is about 5 times the mass of the Bee hummingbird.

What is the mass of the larger humming bird?

Answer:

7 1/2 grams

Step-by-step explanation:

The mass of Bee humming bird is given in the question as = 1 1/2 grams

Mass of the larger humming bird = 5 times the mass of Bee humming bird

The mass of the larger humming bird is calculated as:

5 × 1 1/2 grams = 5 × 3/2 grams

= 15/2 grams = 7 1/2 grams

Therefore, the mass of the larger humming bird is 7 1/2 grams

Answer: D

Step-by-step explanation:

The expresion of distance is [tex]d=\sqrt{(x_1-x_2)^2 +(y_1 -y_2)^2}[/tex]

Answer:

feet cubic

Step-by-step explanation:

Answer:

the last one, feet cubic

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

28/4 = 7

27/9 = 3

Answer:

x = 17.9

Step-by-step explanation:

tan theta = opposite side/ adjacent

tan 40 = 15 /x

x =  15 / tan 40

x =17.87630389

To the nearest tenth

x = 17.9

Answer:

Distance (D) equals rate (R) times time (T): D = R x T

=> T = D/R = 6.6 x 10^-19/(3.3 x 10^-34) = 2 x 10^15 (m)

=> Option B is correct

Hope this helps!

:)

Answer:

Do it yourself

Step-by-step explanation:

Answer:

50.24 cubic feet

Step-by-step explanation:

Diameter = 8 feet

Radius (r) = 8/2 = 4 feet

Height (h) = 3 feet

[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ = \frac{1}{3} \times 3.14 \times {4}^{2} \times 3 \\ \\ = 3.14 \times 16 \\ \\ = 50.24 \: {feet}^{3} [/tex]

Answer:

See answer below

Step-by-step explanation:

You could buy 242 packs but not enough to buy 243 because you can't have half of a pokemon card

Hope this helps :)

Answer:

242

Step-by-step explanation:

That is a lot

Answer:

part A : slope equals 3

part B : It takes 3 hours for a change in temperature

part C : -6

part D : the initial temperature was -6°C

part E : Y = 3X - 6

Answer:

sin (A) = opposite / hypotenuse = BC / AB = 3/5

tan (A) = opposite / adjacent = BC / AC = 3/4

sec (A) = hypotenuse / adjacent = AB / AC = 5/4

Step-by-step explanation:

Part I

sin(A)= 3/5

tan(B)= 3/4

sec(A)= 5/4

Part II

B. cot(B)

Step-by-step explanation:

Step-by-step explanation:

Volume = 4/3 × [tex]\pi[/tex] r³

Volume = 4/3 × 3.14 × 7 × 7 × 7

Volume = 1436.03 cm³

The volume of the sphere with a radius of 7 units is 457.33π cubic units

A sphere is a solid 3-dimensional figure. The volume of a sphere is expressed as:

V = 4/3πr^3

where:

r is the radius of the sphere:

Given the following

r = 7 units

Substitute the given parameters

V = 4/3(π) * 7^3

V = 4/3 * π * 343

V = 1372π/3

V = 457.33π cubic units

Hence the volume of the sphere with a radius of 7 units is 457.33π cubic units

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Answer:

a) 1 game

b) 41 goals

c) median = 2

Step-by-step explanation:

a)

As we can see in the line graph, where we have the 0 for the number of goals scored, the graph indicates only 1 in the number of games, so we have only 1 game where no goals were scored.

b)

To find the total number of goals scored, we multiply the goals scored by the number of games for that score, and then sum them all:

total goals = 1*0 + 4*1 + 5*2 + 6*3 + 1*4 + 1*5 = 41 goals

c)

To find the median, we put all the goals in crescent order, and then find the value in the middle. As we have 18 games, the middle value will be an average of the 9th and 10th terms.

We have 1 number 0, 4 numbers 1 and 5 numbers 2 in the beginning, so for these 10 numbers, the 9th and the 10th are the score 2, so the median is 2.

Answer:

Step-by-step explanation:

its d