Consider the parametric equations x = 4cos(t) – 3 and y = 5sin(t) + 2. What is the rectangular form?

Answer:

34.44 miles

Step-by-step explanation:

Distance covered bty the two trains :

Distance = speed * time

Time = 30 minutes = 0.5hr

Distance of train 1 = 64 * 0.5 = 32 miles

Distance of train 2 = 52 * 0.5 = 26 miles

Included Angle = 72°

Using cosine rule :

a² = b² + c² - 2bcCosA

Let Distance between the trains after 30 minutes = a

a^2 = 32^2 + 26^2 - 2(32)(26) * Cos(72)

a^2 = 1700 - 514.20427

a^2 = 1185.7957

a = sqrt(1185.7957)

a = 34.435

a = 34.44 miles

Step-by-step explanation:

For a

the solution is x>-17

For b

the solution is x<-1

For c

solve by adding 5.5 to each side

For d

solve by dividing each side by 2.5

Answer:

-1.5

Step-by-step explanation:

Answer:

-1.5

Step-by-step explanation:

sorry if I'm wrong

Answer:

The population is all bottles in the production line and the sample is the 50 bottles that were selected.

Step-by-step explanation:

Edge 2020

P.S. im on unit 7 test i believe you are still in unit 6 I can help you *wink wink with the assignments and quizs

Answer:

8 hot dogs

Step-by-step explanation:

[tex]8*7=56\\[/tex]

Answer:

You could Eat 8 in a minute.

Step-by-step explanation:

divide 56 by 7.

Feels impossible to be honest. I have no idea.

Answer:

[tex]\sqrt{0.16}[/tex] is a rational number

Step-by-step explanation:

[tex]\sqrt{0.16}=\sqrt{\frac{16}{100}}=\frac{4}{10}=0.4[/tex]

It is a perfect square. so, it is a rational number

Answer:

See rounded numbers below

Step-by-step explanation:

Number   | Nearest Thousandths | Nearest Hundredths | Decimal Number

98.9834    | 98.983                          | 98.98                         | 98.9

45.4536    | 45.454                           | 45.45                         | 45.5                        |

3 65.1263  | 365.126                         | 365.13                        | 365.1

4 76.1267   | 476.127                         | 476.13                         | 476.1  

12.4519​      | 12.452                          | 12.45                           | 12.5    

Answer:

4900

Step-by-step explanation:

BYHELPINGME

Answer:

yo

o.1 like it please o.1

The value of x is 63.435, which is 60 round to the nearest tenth of a degree.

Given:

Height = 40 feet.

Distance =20 feet.

To find the value of x.

sinθ = hypotenuse/opposite.

cosθ =  hypotenuse/adjacent.

tan θ = opposite/adjacent.

tan θ = 40/20 = 2

θ = tan ⁻(2) = 63.435

Therefore, 60 for x round to the nearest tenth of a degree.

Learn more about Application of trigonometry here:

https://brainly.com/question/11687813

#SPJ2

Answer:

D) all real numbers

Step-by-step explanation:

Answer:

short .

short becomes shorter when you add er .

Step-by-step explanation:

Answer:

shorter

Step-by-step explanation:

short

shorter

Answer:

Yes, the cost y in dollars and the amount of yogurt  are proportional.

The equation is: y = 0.08x

Step-by-step explanation:

1. If y varies directly as x, you can write it as following: y = kx

Where k is the constant of proportionality.

2. Let's calculate the value of the constant of proportionality. If y = 2.56 and x = 32, you have:

y = kx

k = y/x

k = 2.56/32

k = 0.08

3. Then, the equation is: y = 0.08

4. Let's verify if they are directly proportional. Substitute  which is the amount of yogurt bought by Jonah. The result must be $0,48:

y = 0.08 (6)

y = 0.48

5. They are directly proportional.

It’s a Rational number

Answer:

Selling price= $580

Step-by-step explanation:

eGiving the following information:

Buying price= $400

Mark-up percentage= 45% = 0.45

The manager applies a mark-up equivalent to 45% of the buying price. First, we need to determine how much is 45% of the cost.

Mark-up= buying price* Mark-up percentage

Mark-up= 400*0.45

Mark-up= $180

Now, the selling price:

Selling price= 400 + 180

Selling price= $580

Answer:

4f-4g-9

Step-by-step explanation:

first I did i put 4f cuz u can't do anything to it so then I subtract 2g-6g you will get -4g and then add -5 +4=-9

hope this helps

Answer:

The couch is $778 and the table is $389

Step-by-step explanation:

Answer:

92.736

Step-by-step explanation:

Answer:

92.736 square feet

Step-by-step explanation:

Area is length times width

4.8 x 19.32 = 92.736 Square feet

Answer: 315.45 m^2

Step-by-step explanation:

We know that the area of a circle is written as:

A = pi*R^2

Where:

pi = 3.14

R = radius of the circle.

In this case, we know that SR (the diameter) is equal to 26m

And the radius is half of the diameter, then:

R = 26m/2 = 13m

Now, in the image we can see that we have half of the circle shaded, the area of that part will be equal to half the area of a complete circle, then the area of that part is:

A = (1/2)*3.14*(13m)^2 = 265.33 m^2

We also can see that we have a small arc shaded.

The area of a given arc of an angle θ, is given by:

A = (pi*R^2)*(θ/360°)

Now we want to find the angle of this arc, that is the angle:

∠PQ

We know that:

∠SR = 180°   (this is a straight line)

∠RQ = 73°

and i assume that:

∠PS = 73°

if we look at the image, we can see that we must have:

∠QR + ∠PQ + ∠SP = ∠SR

73° + ∠PQ  + 73° = 180°

∠PQ = 180° - 2*73° = 34°

Then the area of the small arc is:

A' = (3.14*(13m)^2)*(34°/360°) = 50.12 m^2

The total shaded area is equal to the sum of the two areas we calculated, this is:

Total area = A + A' = 265.33 m^2 + 50.12 m^2 = 315.45 m^2

First off, we can see already that there are congruent symbols in the diagram (the single and double red lines correspond to the other one that looks alike to it)

Measure QRS is like measure QPT and since QRS = 84°, then QPT also equals 84°

Measure TSR is like measure STP and since TSR = 121°, then STP also equals 121°

Answer:

It is wrong

Step-by-step explanation:

y < 18

This is read as y is less than 18. If the students forgot to flip the symbol and mistakenly believe that y > 18.

y > 18

This is read as y is greater than 18.

There is a difference between the numbers greater or less than 18 .

y must have numbers less than 18 and 21 is greater than 18.

Therefore it is wrong.

But to make it true we can multiply minus with the inequality y > 18

-y > -18

This reverses the inequality sign and it becomes

y< 18

The solution which is required.

Answer:

n=2

Step-by-step explanation:

-4n - 8 = 4(-3n + 2)

-4n - 8 = -12n + 8

8n = 16

n = 2

Answer: b=−a2−2ax+2x−7

When you said, “Find the values of a and b” I can do B and that all...

Step-by-step explanation: hope this help

Answer:

[tex]\frac{1}{81}[/tex]

Step-by-step explanation:

Key skills: Exponents + Fractions

Use the negative exponent property. If your number is x^-y then it would be the same as 1/x^y

3^-4 is the same as [tex]\frac{1}{3^{4}}[/tex]

3^4 is 81, so your answer would be 1/81.

Hope you have a nice day and understood this!

Answer:

50m

Step-by-step explanation:

Calculation for the height of the building

First step:

Let x represent the building height

Second step:

100m/8m = x/4

Third step is to Cross multiply:

100m(4) = 8x

400m= 8x

x=400m/8

x=50m

Therefore the height of the building will be 50m

Answer:

x = -8

Step-by-step explanation:

[tex]y =x[/tex]

If y = -8 — Substitute y = -8 in the equation.

[tex] - 8 = x[/tex]

Therefore, our x is -8 when y = -8

Answer:

x=-8

Step-by-step explanation:

Let's solve your system by substitution.

y=x; y=−8

Rewrite equations:

y=−8; y=x

Step: Solve y=−8 for y:

y=−8

Step: Substitute −8 for y in y=x:

y=x

−8=x

−8+−x=x+−x(Add -x to both sides)

−x−8=0

−x−8+8=0+8(Add 8 to both sides)

−x=8

-x/-1 = 8/-1

x=-8

Here is the graph.   Anyways, hope this helped! If you can, can you give me brainliest?! Have a great day!!

Answer:

B

Step-by-step explanation:

Answer:

38.22

Step-by-step explanation:

Remark

You take the discount first. Most places apply a sales tax only when money changes hands (or it should be that way).

Discount

45.50 * 20/100 = 9.10

45.50 - 9.10 = 36.4

Sales Tax

46.4 * 5/100 = 1.82

Total Cost

Total Cost after the discount = 36.4 + 1.82 = 38.22

Answer:

A. 5(7+4k) = 35+ 20k

This is the same as 5(4k+7)

20k+35 is equal to 35+20k

Answer:

$1,636,363.64

Step-by-step explanation:

let x = total amount of money received

the total amount he received is 100%

Percent remaining after giving a percent of the money to family = 100% - 20% - 25% = 55%

This means that 55% of x = $900,000

To find the value of x, divide both sides by 55% or 0.55

x = $900,000 / 0.55 = $1,636,363.64