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3 years ago

Ryan is remodeling his kitchen floor, which is 110 square feet. He used

Mathematics

1 answer:

irakobra [83]3 years ago

4 0

Answer:

He will need 9 tiles

Step-by-step explanation:

Step one:

let us highlight the given parameters

Given data

the size of the kitchen floor is 110 ft^2

the size of the bathroom is 28 ft^2

he used 32.5 tiles for the kitchen

and used x tiles for the bathroom

Step two:

if he used 32 tiles for 110 ft^2 kitchen

he will use x tiles for 28 ft^2 bathroom

cross multiplying we have

x= (32*28)/110

x= 896/110

x= 8.145

Approximately he will need 9 tiles

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The directrix of a parabola is x = 4. Its focus is (2,6) .

Sati [7]

Answer:

Step-by-step explanation:

If you plot the directrix and the focus, you can see that the focus is to the left of the directrix. Since a parabola ALWAYS wraps itself around the focus, our parabola opens sideways, to the left to be specific. The formula for the parabola that opens to the left is

$-(y-k)^2=4p(x-h)$

We will solve this for x at the end. The negative is out front because it opens to the left. If it opened to the right, it would be positive.

The vertex of a parabola is exactly halfway between the focus and the directrix, so our vertex coordinates h and k are (3, 6). P is defined as the distance between the vertex and the directrix, or the vertex and the focus. Since the vertex is directly between both the directrix and the focus, each distance is the same. P = 1. Filling in what we have now:

$-(y-6)^2=4(1)(x-3)$ which simplifies to

$-(y-6)^2=4(x-3)$

Now we will solve it for x.

$-(y-6)^2=4x-12$ and

$-(y-6)^2+12=4x$ so

$-\frac{1}{4}(y-6)^2+12=x$

4 0

3 years ago

How do you solve this? cosθ-tanθcosθ=0

laila [671]

First, lets note that $tan(\theta)\cdot cos(\theta)=sin(\theta)$ . This leads us with the following problem:

$cos(\theta)-sin(\theta)=0$

Lets add sin on both sides, and we get:

$cos(\theta)=sin(\theta)$

Now if we divide with sin on both sides we get:

$\frac{cos(\theta)}{sin(\theta)}=1$

Now we can remember how cot is defined, it is (cos/sin). So we have:

$cot(\theta)=1$

Now take the inverse of cot and we get:
$\theta=cot^{-1}(1)=\pi\cdot n+ \frac{\pi}{4} , \quad n\in \mathbb{Z}$

In general we have $cot^{-1}(1)=\frac{\pi}{4}$ , the reason we have to add pi times n, is because it is a function that has multiple answers, see the picture:

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3 years ago

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vladimir1956 [14]

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8 0

2 years ago

Graph the equation below by plotting the y-intercept and a second point on the line.

Solnce55 [7]

I don’t know if this helps but…

Slope: 2/3

Y-intercept: (0,-4)

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2 years ago

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Solnce55 [7]

Answer:

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Step-by-step explanation:

Multiply 7 times 5 then add the remaining terms for equation 1. For equation 2 multiply 12 by 3 for 36.

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3 years ago