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3 years ago

9

Are glazed tile on a floor at a constant rate he covers 150 square foot floor in 3 hours how many square feet does he cover in 4

hours

1 answer:

Ivan3 years ago

6 0

200. because 50 = one hour. 100= 2 hours and so on.

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Convert the Cartesian equation x^2 + y^2 = 16 to a polar equation.

RideAnS [48]

Answer:

Problem 1: $r=4$

Problem 2: $r=-2\sin(\theta)$

Problem 3: $r\sin(\theta)=3$

Step-by-step explanation:

Problem 1:

So we are going to use the following to help us:

$x=r \cos(\theta)$

$y=r \sin(\theta)$

$\frac{y}{x}=\tan(\theta)$

So if we make those substitution into the first equation we get:

$x^2+y^2=16$

$(r\cos(\theta))^2+r\sin(\theta))^2=16$

$r^2\cos^2(\theta)+r^2\sin^2(\theta)=16$

Factor the $r^2$ out:

$r^2(\cos^2(\theta)+\sin^2(\theta))=16$

The following is a Pythagorean Identity: $\cos^2(\theta)+\sin^2(\theta)=1$ .

We will apply this identity now:

$r^2=16$

This implies:

$r=4 \text{ or } r=-4$

We don't need both because both of include points with radius 4.

Problem 2:

$x^2+y^2+2y=0$

$(r\cos(\theta))^2+(r\sin(\theta))^2+2(r\sin(\theta))=0$

$r^2\cos^2(\theta)+r^2\sin^2(\theta)+2r\sin(theta)=0$

Factoring out $r^2$ from first two terms:

$r^2(\cos^2(\theta)+\sin^2(\theta))+2r\sin(\theta)=0$

Apply the Pythagorean Identity I mentioned above from problem 1:

$r^2(1)+2r\sin(\theta)=0$

$r^2+2r\sin(\theta)=0$

or if we factor out r:

$r(r+2\sin(\theta))=0$

$r=0 \text{ or } r=-2\sin(\theta)$

r=0 is actually included in the other equation since when theta=0, r=0.

Problem 3:

$y=3$

$r\sin(\theta)=3$

8 0

4 years ago

What is the mass of an object that requieres 100N of force in order to accelerate it at 10m/s2

nataly862011 [7]

The mass of the object is 10kg

4 0

3 years ago

Read 2 more answers

At the movie theatre, child admission is $6.20 and adult admission is $9.80 . On Monday, twice as many adult tickets as child ti

amid [387]

x= child

2x = adult

6.20x +9.80(2x) =593.40

6.20x +19.6x=593.40

25.80x =593.40

x=593.40/25.80 = 23

23 childrens tickets were sold

3 0

3 years ago

What is 3/10 plus 5/8

Svet_ta [14]

3/10+ 5/8
First find a common denominator
multiply top and bottom the same
12/40 +25/40
add
37/40

3 0

4 years ago

The "Double-R-7" Ranch has a new owner. The 20 animals, all hummingbirds and mice, are dismayed, as they have heard that he is b

topjm [15]

H+M=20
2H+4M=64 the 2 because hummingbirds have 2 feet and the 4 because mice have 4 feet

6 0

3 years ago